%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : REL048-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 19:46:13 EDT 2022

% Result   : Unsatisfiable 1.30s 1.48s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  205
%            Number of leaves      :  610
% Syntax   : Number of clauses     : 2526 (1235 unt;   0 nHn;1818 RR)
%            Number of literals    : 4396 (4395 equ;1873 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   : 1925 (  14 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_associativity_5,axiom,
    composition(A,composition(B,C)) = composition(composition(A,B),C) ).

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,
    join(join(sk1,sk2),sk3) = sk3 ).

cnf(goals_15,negated_conjecture,
    ( join(sk1,sk3) != sk3
    | join(sk2,sk3) != sk3 ) ).

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

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

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

cnf(refute_0_3,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_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).

cnf(refute_0_4,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_3]) ).

cnf(refute_0_5,plain,
    join(join(sk1,sk2),sk3) = join(sk1,join(sk2,sk3)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk3))]]) ).

cnf(refute_0_6,plain,
    ( join(join(sk1,sk2),sk3) != join(sk1,join(sk2,sk3))
    | join(join(sk1,sk2),sk3) != sk3
    | join(sk1,join(sk2,sk3)) = sk3 ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(sk1,sk2),sk3),sk3) ),[0],$fot(join(sk1,join(sk2,sk3)))]]) ).

cnf(refute_0_7,plain,
    ( join(join(sk1,sk2),sk3) != sk3
    | join(sk1,join(sk2,sk3)) = sk3 ),
    inference(resolve,[$cnf( $equal(join(join(sk1,sk2),sk3),join(sk1,join(sk2,sk3))) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    join(sk1,join(sk2,sk3)) = sk3,
    inference(resolve,[$cnf( $equal(join(join(sk1,sk2),sk3),sk3) )],[goals_14,refute_0_7]) ).

cnf(refute_0_9,plain,
    join(X_60,join(sk1,join(sk2,sk3))) = join(join(X_60,sk1),join(sk2,sk3)),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(sk1)),bind(C,$fot(join(sk2,sk3)))]]) ).

cnf(refute_0_10,plain,
    ( join(X_60,join(sk1,join(sk2,sk3))) != join(join(X_60,sk1),join(sk2,sk3))
    | join(sk1,join(sk2,sk3)) != sk3
    | join(X_60,sk3) = join(join(X_60,sk1),join(sk2,sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(sk1,join(sk2,sk3))),join(join(X_60,sk1),join(sk2,sk3))) ),[0,1],$fot(sk3)]]) ).

cnf(refute_0_11,plain,
    ( join(X_60,join(sk1,join(sk2,sk3))) != join(join(X_60,sk1),join(sk2,sk3))
    | join(X_60,sk3) = join(join(X_60,sk1),join(sk2,sk3)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,sk3)),sk3) )],[refute_0_8,refute_0_10]) ).

cnf(refute_0_12,plain,
    join(X_60,sk3) = join(join(X_60,sk1),join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(join(X_60,join(sk1,join(sk2,sk3))),join(join(X_60,sk1),join(sk2,sk3))) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    join(A,join(X_60,X_61)) = join(join(X_60,X_61),A),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_60,X_61)))]]) ).

cnf(refute_0_14,plain,
    join(X_60,join(X_61,A)) = join(join(X_60,X_61),A),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(A))]]) ).

cnf(refute_0_15,plain,
    ( join(X_60,join(X_61,A)) != join(join(X_60,X_61),A)
    | join(join(X_60,X_61),A) = join(X_60,join(X_61,A)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,join(X_61,A)))),bind(Y,$fot(join(join(X_60,X_61),A)))]]) ).

cnf(refute_0_16,plain,
    join(join(X_60,X_61),A) = join(X_60,join(X_61,A)),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,A)),join(join(X_60,X_61),A)) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( join(A,join(X_60,X_61)) != join(join(X_60,X_61),A)
    | join(join(X_60,X_61),A) != join(X_60,join(X_61,A))
    | join(A,join(X_60,X_61)) = join(X_60,join(X_61,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_60,X_61)),join(X_60,join(X_61,A))) ),[0],$fot(join(join(X_60,X_61),A))]]) ).

cnf(refute_0_18,plain,
    ( join(A,join(X_60,X_61)) != join(join(X_60,X_61),A)
    | join(A,join(X_60,X_61)) = join(X_60,join(X_61,A)) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,X_61),A),join(X_60,join(X_61,A))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    join(A,join(X_60,X_61)) = join(X_60,join(X_61,A)),
    inference(resolve,[$cnf( $equal(join(A,join(X_60,X_61)),join(join(X_60,X_61),A)) )],[refute_0_13,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( join(A,join(X_60,X_61)) != join(X_60,join(X_61,A))
    | join(X_60,join(X_61,A)) = join(A,join(X_60,X_61)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_60,X_61)))),bind(Y,$fot(join(X_60,join(X_61,A))))]]) ).

cnf(refute_0_21,plain,
    join(X_60,join(X_61,A)) = join(A,join(X_60,X_61)),
    inference(resolve,[$cnf( $equal(join(A,join(X_60,X_61)),join(X_60,join(X_61,A))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    join(sk3,join(X_60,sk2)) = join(sk2,join(sk3,X_60)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(sk2)),bind(X_60,$fot(sk3)),bind(X_61,$fot(X_60))]]) ).

cnf(refute_0_23,plain,
    join(join(sk3,X_60),sk2) = join(sk3,join(X_60,sk2)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk3)),bind(B,$fot(X_60)),bind(C,$fot(sk2))]]) ).

cnf(refute_0_24,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_25,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( join(join(sk3,X_60),sk2) != join(sk3,join(X_60,sk2))
    | join(sk3,join(X_60,sk2)) != join(sk2,join(sk3,X_60))
    | join(join(sk3,X_60),sk2) = join(sk2,join(sk3,X_60)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(sk3,X_60),sk2))),bind(Y,$fot(join(sk3,join(X_60,sk2)))),bind(Z,$fot(join(sk2,join(sk3,X_60))))]]) ).

cnf(refute_0_27,plain,
    ( join(sk3,join(X_60,sk2)) != join(sk2,join(sk3,X_60))
    | join(join(sk3,X_60),sk2) = join(sk2,join(sk3,X_60)) ),
    inference(resolve,[$cnf( $equal(join(join(sk3,X_60),sk2),join(sk3,join(X_60,sk2))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    join(join(sk3,X_60),sk2) = join(sk2,join(sk3,X_60)),
    inference(resolve,[$cnf( $equal(join(sk3,join(X_60,sk2)),join(sk2,join(sk3,X_60))) )],[refute_0_22,refute_0_27]) ).

cnf(refute_0_29,plain,
    join(sk1,join(join(sk3,X_60),sk2)) = join(sk1,join(join(sk3,X_60),sk2)),
    introduced(tautology,[refl,[$fot(join(sk1,join(join(sk3,X_60),sk2)))]]) ).

cnf(refute_0_30,plain,
    ( join(join(sk3,X_60),sk2) != join(sk2,join(sk3,X_60))
    | join(sk1,join(join(sk3,X_60),sk2)) != join(sk1,join(join(sk3,X_60),sk2))
    | join(sk1,join(join(sk3,X_60),sk2)) = join(sk1,join(sk2,join(sk3,X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk3,X_60),sk2)),join(sk1,join(join(sk3,X_60),sk2))) ),[1,1],$fot(join(sk2,join(sk3,X_60)))]]) ).

cnf(refute_0_31,plain,
    ( join(join(sk3,X_60),sk2) != join(sk2,join(sk3,X_60))
    | join(sk1,join(join(sk3,X_60),sk2)) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk3,X_60),sk2)),join(sk1,join(join(sk3,X_60),sk2))) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    join(sk1,join(join(sk3,X_60),sk2)) = join(sk1,join(sk2,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(join(sk3,X_60),sk2),join(sk2,join(sk3,X_60))) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    join(sk2,join(sk1,join(sk3,X_60))) = join(sk1,join(join(sk3,X_60),sk2)),
    inference(subst,[],[refute_0_19:[bind(A,$fot(sk2)),bind(X_60,$fot(sk1)),bind(X_61,$fot(join(sk3,X_60)))]]) ).

cnf(refute_0_34,plain,
    ( join(sk1,join(join(sk3,X_60),sk2)) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk2,join(sk1,join(sk3,X_60))) != join(sk1,join(join(sk3,X_60),sk2))
    | join(sk2,join(sk1,join(sk3,X_60))) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk2,join(sk1,join(sk3,X_60))))),bind(Y,$fot(join(sk1,join(join(sk3,X_60),sk2)))),bind(Z,$fot(join(sk1,join(sk2,join(sk3,X_60)))))]]) ).

cnf(refute_0_35,plain,
    ( join(sk1,join(join(sk3,X_60),sk2)) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk2,join(sk1,join(sk3,X_60))) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk1,join(sk3,X_60))),join(sk1,join(join(sk3,X_60),sk2))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    join(sk2,join(sk1,join(sk3,X_60))) = join(sk1,join(sk2,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk3,X_60),sk2)),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_32,refute_0_35]) ).

cnf(refute_0_37,plain,
    join(sk3,join(X_60,sk1)) = join(sk1,join(sk3,X_60)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(sk1)),bind(X_60,$fot(sk3)),bind(X_61,$fot(X_60))]]) ).

cnf(refute_0_38,plain,
    join(sk2,join(sk3,join(X_60,sk1))) = join(sk2,join(sk3,join(X_60,sk1))),
    introduced(tautology,[refl,[$fot(join(sk2,join(sk3,join(X_60,sk1))))]]) ).

cnf(refute_0_39,plain,
    ( join(sk2,join(sk3,join(X_60,sk1))) != join(sk2,join(sk3,join(X_60,sk1)))
    | join(sk3,join(X_60,sk1)) != join(sk1,join(sk3,X_60))
    | join(sk2,join(sk3,join(X_60,sk1))) = join(sk2,join(sk1,join(sk3,X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(sk3,join(X_60,sk1))),join(sk2,join(sk3,join(X_60,sk1)))) ),[1,1],$fot(join(sk1,join(sk3,X_60)))]]) ).

cnf(refute_0_40,plain,
    ( join(sk3,join(X_60,sk1)) != join(sk1,join(sk3,X_60))
    | join(sk2,join(sk3,join(X_60,sk1))) = join(sk2,join(sk1,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(X_60,sk1))),join(sk2,join(sk3,join(X_60,sk1)))) )],[refute_0_38,refute_0_39]) ).

cnf(refute_0_41,plain,
    join(sk2,join(sk3,join(X_60,sk1))) = join(sk2,join(sk1,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(sk3,join(X_60,sk1)),join(sk1,join(sk3,X_60))) )],[refute_0_37,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( join(sk2,join(sk1,join(sk3,X_60))) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk2,join(sk3,join(X_60,sk1))) != join(sk2,join(sk1,join(sk3,X_60)))
    | join(sk2,join(sk3,join(X_60,sk1))) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk2,join(sk3,join(X_60,sk1))))),bind(Y,$fot(join(sk2,join(sk1,join(sk3,X_60))))),bind(Z,$fot(join(sk1,join(sk2,join(sk3,X_60)))))]]) ).

cnf(refute_0_43,plain,
    ( join(sk2,join(sk1,join(sk3,X_60))) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk2,join(sk3,join(X_60,sk1))) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(X_60,sk1))),join(sk2,join(sk1,join(sk3,X_60)))) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    join(sk2,join(sk3,join(X_60,sk1))) = join(sk1,join(sk2,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk1,join(sk3,X_60))),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_36,refute_0_43]) ).

cnf(refute_0_45,plain,
    join(sk3,join(join(X_60,sk1),sk2)) = join(sk2,join(sk3,join(X_60,sk1))),
    inference(subst,[],[refute_0_21:[bind(A,$fot(sk2)),bind(X_60,$fot(sk3)),bind(X_61,$fot(join(X_60,sk1)))]]) ).

cnf(refute_0_46,plain,
    join(join(X_60,sk1),join(sk2,sk3)) = join(sk3,join(join(X_60,sk1),sk2)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(sk3)),bind(X_60,$fot(join(X_60,sk1))),bind(X_61,$fot(sk2))]]) ).

cnf(refute_0_47,plain,
    ( join(join(X_60,sk1),join(sk2,sk3)) != join(sk3,join(join(X_60,sk1),sk2))
    | join(sk3,join(join(X_60,sk1),sk2)) != join(sk2,join(sk3,join(X_60,sk1)))
    | join(join(X_60,sk1),join(sk2,sk3)) = join(sk2,join(sk3,join(X_60,sk1))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_60,sk1),join(sk2,sk3)))),bind(Y,$fot(join(sk3,join(join(X_60,sk1),sk2)))),bind(Z,$fot(join(sk2,join(sk3,join(X_60,sk1)))))]]) ).

cnf(refute_0_48,plain,
    ( join(sk3,join(join(X_60,sk1),sk2)) != join(sk2,join(sk3,join(X_60,sk1)))
    | join(join(X_60,sk1),join(sk2,sk3)) = join(sk2,join(sk3,join(X_60,sk1))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,sk1),join(sk2,sk3)),join(sk3,join(join(X_60,sk1),sk2))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    join(join(X_60,sk1),join(sk2,sk3)) = join(sk2,join(sk3,join(X_60,sk1))),
    inference(resolve,[$cnf( $equal(join(sk3,join(join(X_60,sk1),sk2)),join(sk2,join(sk3,join(X_60,sk1)))) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( join(join(X_60,sk1),join(sk2,sk3)) != join(sk2,join(sk3,join(X_60,sk1)))
    | join(sk2,join(sk3,join(X_60,sk1))) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(join(X_60,sk1),join(sk2,sk3)) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_60,sk1),join(sk2,sk3)))),bind(Y,$fot(join(sk2,join(sk3,join(X_60,sk1))))),bind(Z,$fot(join(sk1,join(sk2,join(sk3,X_60)))))]]) ).

cnf(refute_0_51,plain,
    ( join(sk2,join(sk3,join(X_60,sk1))) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(join(X_60,sk1),join(sk2,sk3)) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,sk1),join(sk2,sk3)),join(sk2,join(sk3,join(X_60,sk1)))) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    join(join(X_60,sk1),join(sk2,sk3)) = join(sk1,join(sk2,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(X_60,sk1))),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_44,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( join(X_60,sk3) != join(join(X_60,sk1),join(sk2,sk3))
    | join(join(X_60,sk1),join(sk2,sk3)) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(X_60,sk3) = join(sk1,join(sk2,join(sk3,X_60))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,sk3),join(sk1,join(sk2,join(sk3,X_60)))) ),[0],$fot(join(join(X_60,sk1),join(sk2,sk3)))]]) ).

cnf(refute_0_54,plain,
    ( join(X_60,sk3) != join(join(X_60,sk1),join(sk2,sk3))
    | join(X_60,sk3) = join(sk1,join(sk2,join(sk3,X_60))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,sk1),join(sk2,sk3)),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    join(X_60,sk3) = join(sk1,join(sk2,join(sk3,X_60))),
    inference(resolve,[$cnf( $equal(join(X_60,sk3),join(join(X_60,sk1),join(sk2,sk3))) )],[refute_0_12,refute_0_54]) ).

cnf(refute_0_56,plain,
    join(A,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(sk2)),bind(C,$fot(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_57,plain,
    join(converse(X_20),converse(X_19)) = join(converse(X_19),converse(X_20)),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(X_20))),bind(B,$fot(converse(X_19)))]]) ).

cnf(refute_0_58,plain,
    converse(join(X_19,X_20)) = join(converse(X_19),converse(X_20)),
    inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_19)),bind(B,$fot(X_20))]]) ).

cnf(refute_0_59,plain,
    ( converse(join(X_19,X_20)) != join(converse(X_19),converse(X_20))
    | join(converse(X_19),converse(X_20)) = converse(join(X_19,X_20)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_19,X_20)))),bind(Y,$fot(join(converse(X_19),converse(X_20))))]]) ).

cnf(refute_0_60,plain,
    join(converse(X_19),converse(X_20)) = converse(join(X_19,X_20)),
    inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),join(converse(X_19),converse(X_20))) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( join(converse(X_19),converse(X_20)) != converse(join(X_19,X_20))
    | join(converse(X_20),converse(X_19)) != join(converse(X_19),converse(X_20))
    | join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(X_20),converse(X_19)),join(converse(X_19),converse(X_20))) ),[1],$fot(converse(join(X_19,X_20)))]]) ).

cnf(refute_0_62,plain,
    ( join(converse(X_20),converse(X_19)) != join(converse(X_19),converse(X_20))
    | join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(join(converse(X_19),converse(X_20)),converse(join(X_19,X_20))) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)),
    inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),join(converse(X_19),converse(X_20))) )],[refute_0_57,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( converse(join(A,B)) != join(converse(A),converse(B))
    | join(converse(A),converse(B)) = converse(join(A,B)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).

cnf(refute_0_65,plain,
    join(converse(A),converse(B)) = converse(join(A,B)),
    inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_64]) ).

cnf(refute_0_66,plain,
    join(converse(X_20),converse(X_19)) = converse(join(X_20,X_19)),
    inference(subst,[],[refute_0_65:[bind(A,$fot(X_20)),bind(B,$fot(X_19))]]) ).

cnf(refute_0_67,plain,
    ( join(converse(X_20),converse(X_19)) != converse(join(X_19,X_20))
    | join(converse(X_20),converse(X_19)) != converse(join(X_20,X_19))
    | converse(join(X_20,X_19)) = converse(join(X_19,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_19,X_20))) ),[0],$fot(converse(join(X_20,X_19)))]]) ).

cnf(refute_0_68,plain,
    ( join(converse(X_20),converse(X_19)) != converse(join(X_19,X_20))
    | converse(join(X_20,X_19)) = converse(join(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_20,X_19))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    converse(join(X_20,X_19)) = converse(join(X_19,X_20)),
    inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_19,X_20))) )],[refute_0_63,refute_0_68]) ).

cnf(refute_0_70,plain,
    converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = converse(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3)))))),
    inference(subst,[],[refute_0_69:[bind(X_19,$fot(converse(join(sk2,sk3)))),bind(X_20,$fot(meet(converse(sk3),complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_71,plain,
    ( join(A,B) != join(B,A)
    | join(B,A) = join(A,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,B))),bind(Y,$fot(join(B,A)))]]) ).

cnf(refute_0_72,plain,
    join(B,A) = join(A,B),
    inference(resolve,[$cnf( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_71]) ).

cnf(refute_0_73,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_72:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_74,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_75,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_73,refute_0_74]) ).

cnf(refute_0_76,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_75]) ).

cnf(refute_0_77,plain,
    join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).

cnf(refute_0_78,plain,
    ( meet(A,B) != complement(join(complement(A),complement(B)))
    | complement(join(complement(A),complement(B))) = meet(A,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_79,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_78]) ).

cnf(refute_0_80,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_81,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_82,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_80,refute_0_81]) ).

cnf(refute_0_83,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_79,refute_0_82]) ).

cnf(refute_0_84,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_25:[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_85,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_83,refute_0_84]) ).

cnf(refute_0_86,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_77,refute_0_85]) ).

cnf(refute_0_87,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_88,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_86,refute_0_87]) ).

cnf(refute_0_89,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_76,refute_0_88]) ).

cnf(refute_0_90,plain,
    X_15 = join(meet(X_15,complement(B)),complement(join(complement(X_15),complement(B)))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(X_15)),bind(B,$fot(complement(B)))]]) ).

cnf(refute_0_91,plain,
    meet(X_15,B) = complement(join(complement(X_15),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_92,plain,
    ( meet(X_15,B) != complement(join(complement(X_15),complement(B)))
    | complement(join(complement(X_15),complement(B))) = meet(X_15,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,B))),bind(Y,$fot(complement(join(complement(X_15),complement(B)))))]]) ).

cnf(refute_0_93,plain,
    complement(join(complement(X_15),complement(B))) = meet(X_15,B),
    inference(resolve,[$cnf( $equal(meet(X_15,B),complement(join(complement(X_15),complement(B)))) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    ( X_15 != join(meet(X_15,complement(B)),complement(join(complement(X_15),complement(B))))
    | complement(join(complement(X_15),complement(B))) != meet(X_15,B)
    | X_15 = join(meet(X_15,complement(B)),meet(X_15,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,join(meet(X_15,complement(B)),complement(join(complement(X_15),complement(B))))) ),[1,1],$fot(meet(X_15,B))]]) ).

cnf(refute_0_95,plain,
    ( X_15 != join(meet(X_15,complement(B)),complement(join(complement(X_15),complement(B))))
    | X_15 = join(meet(X_15,complement(B)),meet(X_15,B)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(B))),meet(X_15,B)) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    X_15 = join(meet(X_15,complement(B)),meet(X_15,B)),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,complement(B)),complement(join(complement(X_15),complement(B))))) )],[refute_0_90,refute_0_95]) ).

cnf(refute_0_97,plain,
    join(meet(X_15,complement(B)),meet(X_15,B)) = join(meet(X_15,B),meet(X_15,complement(B))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(meet(X_15,B))),bind(B,$fot(meet(X_15,complement(B))))]]) ).

cnf(refute_0_98,plain,
    ( X_15 != join(meet(X_15,complement(B)),meet(X_15,B))
    | join(meet(X_15,complement(B)),meet(X_15,B)) != join(meet(X_15,B),meet(X_15,complement(B)))
    | X_15 = join(meet(X_15,B),meet(X_15,complement(B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_15,join(meet(X_15,B),meet(X_15,complement(B)))) ),[0],$fot(join(meet(X_15,complement(B)),meet(X_15,B)))]]) ).

cnf(refute_0_99,plain,
    ( X_15 != join(meet(X_15,complement(B)),meet(X_15,B))
    | X_15 = join(meet(X_15,B),meet(X_15,complement(B))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,complement(B)),meet(X_15,B)),join(meet(X_15,B),meet(X_15,complement(B)))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    X_15 = join(meet(X_15,B),meet(X_15,complement(B))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,complement(B)),meet(X_15,B))) )],[refute_0_96,refute_0_99]) ).

cnf(refute_0_101,plain,
    converse(sk3) = join(meet(converse(sk3),converse(join(sk2,sk3))),meet(converse(sk3),complement(converse(join(sk2,sk3))))),
    inference(subst,[],[refute_0_100:[bind(B,$fot(converse(join(sk2,sk3)))),bind(X_15,$fot(converse(sk3)))]]) ).

cnf(refute_0_102,plain,
    X_15 = join(meet(X_15,X_16),complement(join(complement(X_15),X_16))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).

cnf(refute_0_103,plain,
    join(X_16,complement(X_15)) = join(complement(X_15),X_16),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_16)),bind(B,$fot(complement(X_15)))]]) ).

cnf(refute_0_104,plain,
    ( join(X_16,complement(X_15)) != join(complement(X_15),X_16)
    | join(complement(X_15),X_16) = join(X_16,complement(X_15)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_16,complement(X_15)))),bind(Y,$fot(join(complement(X_15),X_16)))]]) ).

cnf(refute_0_105,plain,
    join(complement(X_15),X_16) = join(X_16,complement(X_15)),
    inference(resolve,[$cnf( $equal(join(X_16,complement(X_15)),join(complement(X_15),X_16)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    ( X_15 != join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))
    | join(complement(X_15),X_16) != join(X_16,complement(X_15))
    | X_15 = join(meet(X_15,X_16),complement(join(X_16,complement(X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))) ),[1,1,0],$fot(join(X_16,complement(X_15)))]]) ).

cnf(refute_0_107,plain,
    ( X_15 != join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))
    | X_15 = join(meet(X_15,X_16),complement(join(X_16,complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_15),X_16),join(X_16,complement(X_15))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    X_15 = join(meet(X_15,X_16),complement(join(X_16,complement(X_15)))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))) )],[refute_0_102,refute_0_107]) ).

cnf(refute_0_109,plain,
    converse(join(sk2,sk3)) = join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(join(converse(sk3),complement(converse(join(sk2,sk3)))))),
    inference(subst,[],[refute_0_108:[bind(X_15,$fot(converse(join(sk2,sk3)))),bind(X_16,$fot(converse(sk3)))]]) ).

cnf(refute_0_110,plain,
    converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = converse(join(sk3,converse(complement(converse(join(sk2,sk3)))))),
    inference(subst,[],[refute_0_69:[bind(X_19,$fot(sk3)),bind(X_20,$fot(converse(complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_111,plain,
    join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk1,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2))))))),
    inference(subst,[],[refute_0_55:[bind(X_60,$fot(converse(complement(converse(join(sk3,sk2))))))]]) ).

cnf(refute_0_112,plain,
    converse(join(converse(A),X_20)) = join(converse(converse(A)),converse(X_20)),
    inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_20))]]) ).

cnf(refute_0_113,plain,
    ( converse(converse(A)) != A
    | converse(join(converse(A),X_20)) != join(converse(converse(A)),converse(X_20))
    | converse(join(converse(A),X_20)) = join(A,converse(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_20)),join(converse(converse(A)),converse(X_20))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_114,plain,
    ( converse(join(converse(A),X_20)) != join(converse(converse(A)),converse(X_20))
    | converse(join(converse(A),X_20)) = join(A,converse(X_20)) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_113]) ).

cnf(refute_0_115,plain,
    converse(join(converse(A),X_20)) = join(A,converse(X_20)),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),X_20)),join(converse(converse(A)),converse(X_20))) )],[refute_0_112,refute_0_114]) ).

cnf(refute_0_116,plain,
    converse(join(converse(X_23),complement(converse(X_23)))) = join(X_23,converse(complement(converse(X_23)))),
    inference(subst,[],[refute_0_115:[bind(A,$fot(X_23)),bind(X_20,$fot(complement(converse(X_23))))]]) ).

cnf(refute_0_117,plain,
    top = join(converse(X_23),complement(converse(X_23))),
    inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_23)))]]) ).

cnf(refute_0_118,plain,
    ( top != join(converse(X_23),complement(converse(X_23)))
    | join(converse(X_23),complement(converse(X_23))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_23),complement(converse(X_23)))))]]) ).

cnf(refute_0_119,plain,
    join(converse(X_23),complement(converse(X_23))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_23),complement(converse(X_23)))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( converse(join(converse(X_23),complement(converse(X_23)))) != join(X_23,converse(complement(converse(X_23))))
    | join(converse(X_23),complement(converse(X_23))) != top
    | converse(top) = join(X_23,converse(complement(converse(X_23)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_23),complement(converse(X_23)))),join(X_23,converse(complement(converse(X_23))))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_121,plain,
    ( converse(join(converse(X_23),complement(converse(X_23)))) != join(X_23,converse(complement(converse(X_23))))
    | converse(top) = join(X_23,converse(complement(converse(X_23)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_23),complement(converse(X_23))),top) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    converse(top) = join(X_23,converse(complement(converse(X_23)))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X_23),complement(converse(X_23)))),join(X_23,converse(complement(converse(X_23))))) )],[refute_0_116,refute_0_121]) ).

cnf(refute_0_123,plain,
    converse(top) = join(join(X_41,X_40),converse(complement(converse(join(X_41,X_40))))),
    inference(subst,[],[refute_0_122:[bind(X_23,$fot(join(X_41,X_40)))]]) ).

cnf(refute_0_124,plain,
    converse(join(X_41,X_40)) = converse(join(X_40,X_41)),
    inference(subst,[],[refute_0_69:[bind(X_19,$fot(X_40)),bind(X_20,$fot(X_41))]]) ).

cnf(refute_0_125,plain,
    ( converse(join(X_41,X_40)) != converse(join(X_40,X_41))
    | converse(top) != join(join(X_41,X_40),converse(complement(converse(join(X_41,X_40)))))
    | converse(top) = join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_41,X_40),converse(complement(converse(join(X_41,X_40)))))) ),[1,1,0,0],$fot(converse(join(X_40,X_41)))]]) ).

cnf(refute_0_126,plain,
    ( converse(top) != join(join(X_41,X_40),converse(complement(converse(join(X_41,X_40)))))
    | converse(top) = join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_41,X_40)),converse(join(X_40,X_41))) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    converse(top) = join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_41,X_40),converse(complement(converse(join(X_41,X_40)))))) )],[refute_0_123,refute_0_126]) ).

cnf(refute_0_128,plain,
    join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))) = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_41)),bind(B,$fot(X_40)),bind(C,$fot(converse(complement(converse(join(X_40,X_41))))))]]) ).

cnf(refute_0_129,plain,
    ( converse(top) != join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41)))))
    | join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))) != join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))
    | converse(top) = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))) ),[0],$fot(join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))))]]) ).

cnf(refute_0_130,plain,
    ( converse(top) != join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41)))))
    | converse(top) = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41))))),join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    converse(top) = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_41,X_40),converse(complement(converse(join(X_40,X_41)))))) )],[refute_0_127,refute_0_130]) ).

cnf(refute_0_132,plain,
    converse(join(converse(top),top)) = converse(join(top,converse(top))),
    inference(subst,[],[refute_0_69:[bind(X_19,$fot(top)),bind(X_20,$fot(converse(top)))]]) ).

cnf(refute_0_133,plain,
    join(top,join(complement(one),C)) = join(join(top,complement(one)),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(complement(one)))]]) ).

cnf(refute_0_134,plain,
    top = join(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5)))),
    inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_4),complement(X_5))))]]) ).

cnf(refute_0_135,plain,
    meet(X_4,X_5) = complement(join(complement(X_4),complement(X_5))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_4)),bind(B,$fot(X_5))]]) ).

cnf(refute_0_136,plain,
    ( meet(X_4,X_5) != complement(join(complement(X_4),complement(X_5)))
    | complement(join(complement(X_4),complement(X_5))) = meet(X_4,X_5) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_4,X_5))),bind(Y,$fot(complement(join(complement(X_4),complement(X_5)))))]]) ).

cnf(refute_0_137,plain,
    complement(join(complement(X_4),complement(X_5))) = meet(X_4,X_5),
    inference(resolve,[$cnf( $equal(meet(X_4,X_5),complement(join(complement(X_4),complement(X_5)))) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    ( complement(join(complement(X_4),complement(X_5))) != meet(X_4,X_5)
    | top != join(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))
    | top = join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))) ),[1,1],$fot(meet(X_4,X_5))]]) ).

cnf(refute_0_139,plain,
    ( top != join(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))
    | top = join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_4),complement(X_5))),meet(X_4,X_5)) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    top = join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))) )],[refute_0_134,refute_0_139]) ).

cnf(refute_0_141,plain,
    join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) = join(complement(X_4),join(complement(X_5),meet(X_4,X_5))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_4))),bind(B,$fot(complement(X_5))),bind(C,$fot(meet(X_4,X_5)))]]) ).

cnf(refute_0_142,plain,
    ( join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) != join(complement(X_4),join(complement(X_5),meet(X_4,X_5)))
    | top != join(join(complement(X_4),complement(X_5)),meet(X_4,X_5))
    | top = join(complement(X_4),join(complement(X_5),meet(X_4,X_5))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_4),complement(X_5)),meet(X_4,X_5))) ),[1],$fot(join(complement(X_4),join(complement(X_5),meet(X_4,X_5))))]]) ).

cnf(refute_0_143,plain,
    ( top != join(join(complement(X_4),complement(X_5)),meet(X_4,X_5))
    | top = join(complement(X_4),join(complement(X_5),meet(X_4,X_5))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_4),complement(X_5)),meet(X_4,X_5)),join(complement(X_4),join(complement(X_5),meet(X_4,X_5)))) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    top = join(complement(X_4),join(complement(X_5),meet(X_4,X_5))),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_4),complement(X_5)),meet(X_4,X_5))) )],[refute_0_140,refute_0_143]) ).

cnf(refute_0_145,plain,
    top = join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(one)),bind(X_5,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_146,plain,
    one = join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(one)),bind(B,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_147,plain,
    top = join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[def_top_12:[bind(A,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_148,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_72:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).

cnf(refute_0_149,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_150,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_148,refute_0_149]) ).

cnf(refute_0_151,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_150]) ).

cnf(refute_0_152,plain,
    join(complement(one),composition(converse(X_7),complement(composition(X_7,one)))) = complement(one),
    inference(subst,[],[refute_0_151:[bind(A,$fot(X_7)),bind(B,$fot(one))]]) ).

cnf(refute_0_153,plain,
    composition(X_7,one) = X_7,
    inference(subst,[],[composition_identity_6:[bind(A,$fot(X_7))]]) ).

cnf(refute_0_154,plain,
    ( composition(X_7,one) != X_7
    | join(complement(one),composition(converse(X_7),complement(composition(X_7,one)))) != complement(one)
    | join(complement(one),composition(converse(X_7),complement(X_7))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_7),complement(composition(X_7,one)))),complement(one)) ),[0,1,1,0],$fot(X_7)]]) ).

cnf(refute_0_155,plain,
    ( join(complement(one),composition(converse(X_7),complement(composition(X_7,one)))) != complement(one)
    | join(complement(one),composition(converse(X_7),complement(X_7))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(X_7,one),X_7) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    join(complement(one),composition(converse(X_7),complement(X_7))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_7),complement(composition(X_7,one)))),complement(one)) )],[refute_0_152,refute_0_155]) ).

cnf(refute_0_157,plain,
    join(complement(one),composition(converse(converse(A)),complement(converse(A)))) = complement(one),
    inference(subst,[],[refute_0_156:[bind(X_7,$fot(converse(A)))]]) ).

cnf(refute_0_158,plain,
    ( converse(converse(A)) != A
    | join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
    | join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_159,plain,
    ( join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
    | join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_158]) ).

cnf(refute_0_160,plain,
    join(complement(one),composition(A,complement(converse(A)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) )],[refute_0_157,refute_0_159]) ).

cnf(refute_0_161,plain,
    join(complement(one),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))) = complement(one),
    inference(subst,[],[refute_0_160:[bind(A,$fot(composition(X_65,X_66)))]]) ).

cnf(refute_0_162,plain,
    composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))) = composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66)))),
    inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_65)),bind(B,$fot(X_66)),bind(C,$fot(complement(converse(composition(X_65,X_66)))))]]) ).

cnf(refute_0_163,plain,
    ( composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))) != composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))
    | composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66)))) = composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))))),bind(Y,$fot(composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))))]]) ).

cnf(refute_0_164,plain,
    composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66)))) = composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))),
    inference(resolve,[$cnf( $equal(composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66)))) != composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66)))))
    | join(complement(one),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))) != complement(one)
    | join(complement(one),composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66)))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))),complement(one)) ),[0,1],$fot(composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66))))))]]) ).

cnf(refute_0_166,plain,
    ( join(complement(one),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))) != complement(one)
    | join(complement(one),composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66)))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66)))),composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66)))))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    join(complement(one),composition(X_65,composition(X_66,complement(converse(composition(X_65,X_66)))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(composition(X_65,X_66),complement(converse(composition(X_65,X_66))))),complement(one)) )],[refute_0_161,refute_0_166]) ).

cnf(refute_0_168,plain,
    join(complement(one),composition(X_86,composition(join(one,one),complement(converse(composition(X_86,join(one,one))))))) = complement(one),
    inference(subst,[],[refute_0_167:[bind(X_65,$fot(X_86)),bind(X_66,$fot(join(one,one)))]]) ).

cnf(refute_0_169,plain,
    join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) = complement(B),
    inference(subst,[],[refute_0_151:[bind(A,$fot(converse(one)))]]) ).

cnf(refute_0_170,plain,
    converse(composition(converse(A),X_27)) = composition(converse(X_27),converse(converse(A))),
    inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_27))]]) ).

cnf(refute_0_171,plain,
    ( converse(composition(converse(A),X_27)) != composition(converse(X_27),converse(converse(A)))
    | converse(converse(A)) != A
    | converse(composition(converse(A),X_27)) = composition(converse(X_27),A) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_27)),composition(converse(X_27),converse(converse(A)))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_172,plain,
    ( converse(composition(converse(A),X_27)) != composition(converse(X_27),converse(converse(A)))
    | converse(composition(converse(A),X_27)) = composition(converse(X_27),A) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_171]) ).

cnf(refute_0_173,plain,
    converse(composition(converse(A),X_27)) = composition(converse(X_27),A),
    inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_27)),composition(converse(X_27),converse(converse(A)))) )],[refute_0_170,refute_0_172]) ).

cnf(refute_0_174,plain,
    converse(composition(converse(X_68),one)) = composition(converse(one),X_68),
    inference(subst,[],[refute_0_173:[bind(A,$fot(X_68)),bind(X_27,$fot(one))]]) ).

cnf(refute_0_175,plain,
    composition(converse(X_68),one) = converse(X_68),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_68)))]]) ).

cnf(refute_0_176,plain,
    ( composition(converse(X_68),one) != converse(X_68)
    | converse(composition(converse(X_68),one)) != composition(converse(one),X_68)
    | converse(converse(X_68)) = composition(converse(one),X_68) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_68),one)),composition(converse(one),X_68)) ),[0,0],$fot(converse(X_68))]]) ).

cnf(refute_0_177,plain,
    ( converse(composition(converse(X_68),one)) != composition(converse(one),X_68)
    | converse(converse(X_68)) = composition(converse(one),X_68) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_68),one),converse(X_68)) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    converse(converse(X_68)) = composition(converse(one),X_68),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_68),one)),composition(converse(one),X_68)) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    converse(converse(X_68)) = X_68,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_68))]]) ).

cnf(refute_0_180,plain,
    ( converse(converse(X_68)) != X_68
    | converse(converse(X_68)) != composition(converse(one),X_68)
    | X_68 = composition(converse(one),X_68) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_68)),composition(converse(one),X_68)) ),[0],$fot(X_68)]]) ).

cnf(refute_0_181,plain,
    ( converse(converse(X_68)) != composition(converse(one),X_68)
    | X_68 = composition(converse(one),X_68) ),
    inference(resolve,[$cnf( $equal(converse(converse(X_68)),X_68) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    X_68 = composition(converse(one),X_68),
    inference(resolve,[$cnf( $equal(converse(converse(X_68)),composition(converse(one),X_68)) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    B = composition(converse(one),B),
    inference(subst,[],[refute_0_182:[bind(X_68,$fot(B))]]) ).

cnf(refute_0_184,plain,
    ( B != composition(converse(one),B)
    | composition(converse(one),B) = B ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(composition(converse(one),B)))]]) ).

cnf(refute_0_185,plain,
    composition(converse(one),B) = B,
    inference(resolve,[$cnf( $equal(B,composition(converse(one),B)) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( composition(converse(one),B) != B
    | join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
    | join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) ),[0,1,1,0],$fot(B)]]) ).

cnf(refute_0_187,plain,
    ( join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
    | join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),B),B) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B),
    inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) )],[refute_0_169,refute_0_187]) ).

cnf(refute_0_189,plain,
    converse(converse(one)) = one,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(one))]]) ).

cnf(refute_0_190,plain,
    join(one,converse(converse(one))) = join(one,converse(converse(one))),
    introduced(tautology,[refl,[$fot(join(one,converse(converse(one))))]]) ).

cnf(refute_0_191,plain,
    ( converse(converse(one)) != one
    | join(one,converse(converse(one))) != join(one,converse(converse(one)))
    | join(one,converse(converse(one))) = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,converse(converse(one))),join(one,converse(converse(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_192,plain,
    ( converse(converse(one)) != one
    | join(one,converse(converse(one))) = join(one,one) ),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(one))),join(one,converse(converse(one)))) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    join(one,converse(converse(one))) = join(one,one),
    inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_189,refute_0_192]) ).

cnf(refute_0_194,plain,
    composition(join(one,converse(converse(one))),complement(B)) = composition(join(one,converse(converse(one))),complement(B)),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(converse(one))),complement(B)))]]) ).

cnf(refute_0_195,plain,
    ( composition(join(one,converse(converse(one))),complement(B)) != composition(join(one,converse(converse(one))),complement(B))
    | join(one,converse(converse(one))) != join(one,one)
    | composition(join(one,converse(converse(one))),complement(B)) = composition(join(one,one),complement(B)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(B)),composition(join(one,converse(converse(one))),complement(B))) ),[1,0],$fot(join(one,one))]]) ).

cnf(refute_0_196,plain,
    ( join(one,converse(converse(one))) != join(one,one)
    | composition(join(one,converse(converse(one))),complement(B)) = composition(join(one,one),complement(B)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(B)),composition(join(one,converse(converse(one))),complement(B))) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    composition(join(one,converse(converse(one))),complement(B)) = composition(join(one,one),complement(B)),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(one))),join(one,one)) )],[refute_0_193,refute_0_196]) ).

cnf(refute_0_198,plain,
    composition(join(converse(one),B),C) = join(composition(converse(one),C),composition(B,C)),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(one)))]]) ).

cnf(refute_0_199,plain,
    C = composition(converse(one),C),
    inference(subst,[],[refute_0_182:[bind(X_68,$fot(C))]]) ).

cnf(refute_0_200,plain,
    ( C != composition(converse(one),C)
    | composition(converse(one),C) = C ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(C)),bind(Y,$fot(composition(converse(one),C)))]]) ).

cnf(refute_0_201,plain,
    composition(converse(one),C) = C,
    inference(resolve,[$cnf( $equal(C,composition(converse(one),C)) )],[refute_0_199,refute_0_200]) ).

cnf(refute_0_202,plain,
    ( composition(converse(one),C) != C
    | composition(join(converse(one),B),C) != join(composition(converse(one),C),composition(B,C))
    | composition(join(converse(one),B),C) = join(C,composition(B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),join(composition(converse(one),C),composition(B,C))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_203,plain,
    ( composition(join(converse(one),B),C) != join(composition(converse(one),C),composition(B,C))
    | composition(join(converse(one),B),C) = join(C,composition(B,C)) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),C),C) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    composition(join(converse(one),B),C) = join(C,composition(B,C)),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),join(composition(converse(one),C),composition(B,C))) )],[refute_0_198,refute_0_203]) ).

cnf(refute_0_205,plain,
    composition(converse(one),one) = converse(one),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).

cnf(refute_0_206,plain,
    one = composition(converse(one),one),
    inference(subst,[],[refute_0_182:[bind(X_68,$fot(one))]]) ).

cnf(refute_0_207,plain,
    ( one != composition(converse(one),one)
    | composition(converse(one),one) = one ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).

cnf(refute_0_208,plain,
    composition(converse(one),one) = one,
    inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,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_210,plain,
    ( composition(converse(one),one) != converse(one)
    | one = converse(one) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    one = converse(one),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_205,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( one != converse(one)
    | converse(one) = one ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).

cnf(refute_0_213,plain,
    converse(one) = one,
    inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    join(converse(one),B) = join(converse(one),B),
    introduced(tautology,[refl,[$fot(join(converse(one),B))]]) ).

cnf(refute_0_215,plain,
    ( converse(one) != one
    | join(converse(one),B) != join(converse(one),B)
    | join(converse(one),B) = join(one,B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_216,plain,
    ( converse(one) != one
    | join(converse(one),B) = join(one,B) ),
    inference(resolve,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    join(converse(one),B) = join(one,B),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_213,refute_0_216]) ).

cnf(refute_0_218,plain,
    composition(join(converse(one),B),C) = composition(join(converse(one),B),C),
    introduced(tautology,[refl,[$fot(composition(join(converse(one),B),C))]]) ).

cnf(refute_0_219,plain,
    ( composition(join(converse(one),B),C) != composition(join(converse(one),B),C)
    | join(converse(one),B) != join(one,B)
    | composition(join(converse(one),B),C) = composition(join(one,B),C) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(converse(one),B),C)) ),[1,0],$fot(join(one,B))]]) ).

cnf(refute_0_220,plain,
    ( join(converse(one),B) != join(one,B)
    | composition(join(converse(one),B),C) = composition(join(one,B),C) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(converse(one),B),C)) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    composition(join(converse(one),B),C) = composition(join(one,B),C),
    inference(resolve,[$cnf( $equal(join(converse(one),B),join(one,B)) )],[refute_0_217,refute_0_220]) ).

cnf(refute_0_222,plain,
    ( composition(join(converse(one),B),C) != composition(join(one,B),C)
    | composition(join(converse(one),B),C) != join(C,composition(B,C))
    | composition(join(one,B),C) = join(C,composition(B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),join(C,composition(B,C))) ),[0],$fot(composition(join(one,B),C))]]) ).

cnf(refute_0_223,plain,
    ( composition(join(converse(one),B),C) != join(C,composition(B,C))
    | composition(join(one,B),C) = join(C,composition(B,C)) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(one,B),C)) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    composition(join(one,B),C) = join(C,composition(B,C)),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),join(C,composition(B,C))) )],[refute_0_204,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( composition(join(one,B),C) != join(C,composition(B,C))
    | join(C,composition(B,C)) = composition(join(one,B),C) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,B),C))),bind(Y,$fot(join(C,composition(B,C))))]]) ).

cnf(refute_0_226,plain,
    join(C,composition(B,C)) = composition(join(one,B),C),
    inference(resolve,[$cnf( $equal(composition(join(one,B),C),join(C,composition(B,C))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    join(complement(B),composition(converse(converse(one)),complement(B))) = composition(join(one,converse(converse(one))),complement(B)),
    inference(subst,[],[refute_0_226:[bind(B,$fot(converse(converse(one)))),bind(C,$fot(complement(B)))]]) ).

cnf(refute_0_228,plain,
    ( composition(join(one,converse(converse(one))),complement(B)) != composition(join(one,one),complement(B))
    | join(complement(B),composition(converse(converse(one)),complement(B))) != composition(join(one,converse(converse(one))),complement(B))
    | join(complement(B),composition(converse(converse(one)),complement(B))) = composition(join(one,one),complement(B)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(B),composition(converse(converse(one)),complement(B))))),bind(Y,$fot(composition(join(one,converse(converse(one))),complement(B)))),bind(Z,$fot(composition(join(one,one),complement(B))))]]) ).

cnf(refute_0_229,plain,
    ( composition(join(one,converse(converse(one))),complement(B)) != composition(join(one,one),complement(B))
    | join(complement(B),composition(converse(converse(one)),complement(B))) = composition(join(one,one),complement(B)) ),
    inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),composition(join(one,converse(converse(one))),complement(B))) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    join(complement(B),composition(converse(converse(one)),complement(B))) = composition(join(one,one),complement(B)),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(B)),composition(join(one,one),complement(B))) )],[refute_0_197,refute_0_229]) ).

cnf(refute_0_231,plain,
    ( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
    | join(complement(B),composition(converse(converse(one)),complement(B))) != composition(join(one,one),complement(B))
    | composition(join(one,one),complement(B)) = complement(B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) ),[0],$fot(composition(join(one,one),complement(B)))]]) ).

cnf(refute_0_232,plain,
    ( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
    | composition(join(one,one),complement(B)) = complement(B) ),
    inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),composition(join(one,one),complement(B))) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    composition(join(one,one),complement(B)) = complement(B),
    inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) )],[refute_0_188,refute_0_232]) ).

cnf(refute_0_234,plain,
    composition(join(one,one),complement(converse(composition(X_86,join(one,one))))) = complement(converse(composition(X_86,join(one,one)))),
    inference(subst,[],[refute_0_233:[bind(B,$fot(converse(composition(X_86,join(one,one)))))]]) ).

cnf(refute_0_235,plain,
    ( composition(join(one,one),complement(converse(composition(X_86,join(one,one))))) != complement(converse(composition(X_86,join(one,one))))
    | join(complement(one),composition(X_86,composition(join(one,one),complement(converse(composition(X_86,join(one,one))))))) != complement(one)
    | join(complement(one),composition(X_86,complement(converse(composition(X_86,join(one,one)))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(X_86,composition(join(one,one),complement(converse(composition(X_86,join(one,one))))))),complement(one)) ),[0,1,1],$fot(complement(converse(composition(X_86,join(one,one)))))]]) ).

cnf(refute_0_236,plain,
    ( join(complement(one),composition(X_86,composition(join(one,one),complement(converse(composition(X_86,join(one,one))))))) != complement(one)
    | join(complement(one),composition(X_86,complement(converse(composition(X_86,join(one,one)))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(converse(composition(X_86,join(one,one))))),complement(converse(composition(X_86,join(one,one))))) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    join(complement(one),composition(X_86,complement(converse(composition(X_86,join(one,one)))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(X_86,composition(join(one,one),complement(converse(composition(X_86,join(one,one))))))),complement(one)) )],[refute_0_168,refute_0_236]) ).

cnf(refute_0_238,plain,
    join(complement(one),composition(join(one,one),complement(converse(composition(join(one,one),join(one,one)))))) = complement(one),
    inference(subst,[],[refute_0_237:[bind(X_86,$fot(join(one,one)))]]) ).

cnf(refute_0_239,plain,
    composition(join(one,one),complement(converse(composition(join(one,one),join(one,one))))) = complement(converse(composition(join(one,one),join(one,one)))),
    inference(subst,[],[refute_0_233:[bind(B,$fot(converse(composition(join(one,one),join(one,one)))))]]) ).

cnf(refute_0_240,plain,
    ( composition(join(one,one),complement(converse(composition(join(one,one),join(one,one))))) != complement(converse(composition(join(one,one),join(one,one))))
    | join(complement(one),composition(join(one,one),complement(converse(composition(join(one,one),join(one,one)))))) != complement(one)
    | join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(converse(composition(join(one,one),join(one,one)))))),complement(one)) ),[0,1],$fot(complement(converse(composition(join(one,one),join(one,one)))))]]) ).

cnf(refute_0_241,plain,
    ( join(complement(one),composition(join(one,one),complement(converse(composition(join(one,one),join(one,one)))))) != complement(one)
    | join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(converse(composition(join(one,one),join(one,one))))),complement(converse(composition(join(one,one),join(one,one))))) )],[refute_0_239,refute_0_240]) ).

cnf(refute_0_242,plain,
    join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(converse(composition(join(one,one),join(one,one)))))),complement(one)) )],[refute_0_238,refute_0_241]) ).

cnf(refute_0_243,plain,
    X_15 = join(meet(X_15,complement(complement(X_15))),complement(join(complement(X_15),complement(complement(X_15))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(X_15)),bind(B,$fot(complement(complement(X_15))))]]) ).

cnf(refute_0_244,plain,
    top = join(complement(X_15),complement(complement(X_15))),
    inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_15)))]]) ).

cnf(refute_0_245,plain,
    ( top != join(complement(X_15),complement(complement(X_15)))
    | join(complement(X_15),complement(complement(X_15))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_15),complement(complement(X_15)))))]]) ).

cnf(refute_0_246,plain,
    join(complement(X_15),complement(complement(X_15))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_15),complement(complement(X_15)))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    ( X_15 != join(meet(X_15,complement(complement(X_15))),complement(join(complement(X_15),complement(complement(X_15)))))
    | join(complement(X_15),complement(complement(X_15))) != top
    | X_15 = join(meet(X_15,complement(complement(X_15))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,join(meet(X_15,complement(complement(X_15))),complement(join(complement(X_15),complement(complement(X_15)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_248,plain,
    ( X_15 != join(meet(X_15,complement(complement(X_15))),complement(join(complement(X_15),complement(complement(X_15)))))
    | X_15 = join(meet(X_15,complement(complement(X_15))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_15),complement(complement(X_15))),top) )],[refute_0_246,refute_0_247]) ).

cnf(refute_0_249,plain,
    X_15 = join(meet(X_15,complement(complement(X_15))),complement(top)),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,complement(complement(X_15))),complement(join(complement(X_15),complement(complement(X_15)))))) )],[refute_0_243,refute_0_248]) ).

cnf(refute_0_250,plain,
    zero = meet(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5)))),
    inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_4),complement(X_5))))]]) ).

cnf(refute_0_251,plain,
    ( complement(join(complement(X_4),complement(X_5))) != meet(X_4,X_5)
    | zero != meet(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))
    | zero = meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))) ),[1,1],$fot(meet(X_4,X_5))]]) ).

cnf(refute_0_252,plain,
    ( zero != meet(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))
    | zero = meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_4),complement(X_5))),meet(X_4,X_5)) )],[refute_0_137,refute_0_251]) ).

cnf(refute_0_253,plain,
    zero = meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_4),complement(X_5)),complement(join(complement(X_4),complement(X_5))))) )],[refute_0_250,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( top != join(A,complement(A))
    | join(A,complement(A)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).

cnf(refute_0_255,plain,
    join(A,complement(A)) = top,
    inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_254]) ).

cnf(refute_0_256,plain,
    join(meet(X_4,X_5),complement(meet(X_4,X_5))) = top,
    inference(subst,[],[refute_0_255:[bind(A,$fot(meet(X_4,X_5)))]]) ).

cnf(refute_0_257,plain,
    complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) = complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))),
    introduced(tautology,[refl,[$fot(complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))))]]) ).

cnf(refute_0_258,plain,
    ( complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) != complement(join(meet(X_4,X_5),complement(meet(X_4,X_5))))
    | join(meet(X_4,X_5),complement(meet(X_4,X_5))) != top
    | complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))),complement(join(meet(X_4,X_5),complement(meet(X_4,X_5))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_259,plain,
    ( join(meet(X_4,X_5),complement(meet(X_4,X_5))) != top
    | complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))),complement(join(meet(X_4,X_5),complement(meet(X_4,X_5))))) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(meet(X_4,X_5),complement(meet(X_4,X_5))),top) )],[refute_0_256,refute_0_259]) ).

cnf(refute_0_261,plain,
    meet(join(complement(X_4),complement(X_5)),B) = complement(join(complement(join(complement(X_4),complement(X_5))),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_4),complement(X_5))))]]) ).

cnf(refute_0_262,plain,
    ( complement(join(complement(X_4),complement(X_5))) != meet(X_4,X_5)
    | meet(join(complement(X_4),complement(X_5)),B) != complement(join(complement(join(complement(X_4),complement(X_5))),complement(B)))
    | meet(join(complement(X_4),complement(X_5)),B) = complement(join(meet(X_4,X_5),complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_4),complement(X_5)),B),complement(join(complement(join(complement(X_4),complement(X_5))),complement(B)))) ),[1,0,0],$fot(meet(X_4,X_5))]]) ).

cnf(refute_0_263,plain,
    ( meet(join(complement(X_4),complement(X_5)),B) != complement(join(complement(join(complement(X_4),complement(X_5))),complement(B)))
    | meet(join(complement(X_4),complement(X_5)),B) = complement(join(meet(X_4,X_5),complement(B))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_4),complement(X_5))),meet(X_4,X_5)) )],[refute_0_137,refute_0_262]) ).

cnf(refute_0_264,plain,
    meet(join(complement(X_4),complement(X_5)),B) = complement(join(meet(X_4,X_5),complement(B))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_4),complement(X_5)),B),complement(join(complement(join(complement(X_4),complement(X_5))),complement(B)))) )],[refute_0_261,refute_0_263]) ).

cnf(refute_0_265,plain,
    meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) = complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))),
    inference(subst,[],[refute_0_264:[bind(B,$fot(meet(X_4,X_5)))]]) ).

cnf(refute_0_266,plain,
    ( complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) != complement(top)
    | meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) != complement(join(meet(X_4,X_5),complement(meet(X_4,X_5))))
    | meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) = complement(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)))),bind(Y,$fot(complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))))),bind(Z,$fot(complement(top)))]]) ).

cnf(refute_0_267,plain,
    ( complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))) != complement(top)
    | meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)),complement(join(meet(X_4,X_5),complement(meet(X_4,X_5))))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) = complement(top),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_4,X_5),complement(meet(X_4,X_5)))),complement(top)) )],[refute_0_260,refute_0_267]) ).

cnf(refute_0_269,plain,
    ( meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)) != complement(top)
    | zero != meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5))
    | zero = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5))) ),[1],$fot(complement(top))]]) ).

cnf(refute_0_270,plain,
    ( zero != meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5))
    | zero = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5)),complement(top)) )],[refute_0_268,refute_0_269]) ).

cnf(refute_0_271,plain,
    zero = complement(top),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_4),complement(X_5)),meet(X_4,X_5))) )],[refute_0_253,refute_0_270]) ).

cnf(refute_0_272,plain,
    ( zero != complement(top)
    | complement(top) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).

cnf(refute_0_273,plain,
    complement(top) = zero,
    inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    join(complement(top),meet(X_15,complement(complement(X_15)))) = join(complement(top),meet(X_15,complement(complement(X_15)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_15,complement(complement(X_15)))))]]) ).

cnf(refute_0_275,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_15,complement(complement(X_15)))) != join(complement(top),meet(X_15,complement(complement(X_15))))
    | join(complement(top),meet(X_15,complement(complement(X_15)))) = join(zero,meet(X_15,complement(complement(X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_15,complement(complement(X_15)))),join(complement(top),meet(X_15,complement(complement(X_15))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_276,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_15,complement(complement(X_15)))) = join(zero,meet(X_15,complement(complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_15,complement(complement(X_15)))),join(complement(top),meet(X_15,complement(complement(X_15))))) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    join(complement(top),meet(X_15,complement(complement(X_15)))) = join(zero,meet(X_15,complement(complement(X_15)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_276]) ).

cnf(refute_0_278,plain,
    join(meet(X_15,complement(complement(X_15))),complement(top)) = join(complement(top),meet(X_15,complement(complement(X_15)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_15,complement(complement(X_15)))))]]) ).

cnf(refute_0_279,plain,
    ( join(complement(top),meet(X_15,complement(complement(X_15)))) != join(zero,meet(X_15,complement(complement(X_15))))
    | join(meet(X_15,complement(complement(X_15))),complement(top)) != join(complement(top),meet(X_15,complement(complement(X_15))))
    | join(meet(X_15,complement(complement(X_15))),complement(top)) = join(zero,meet(X_15,complement(complement(X_15)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_15,complement(complement(X_15))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_15,complement(complement(X_15)))))),bind(Z,$fot(join(zero,meet(X_15,complement(complement(X_15))))))]]) ).

cnf(refute_0_280,plain,
    ( join(complement(top),meet(X_15,complement(complement(X_15)))) != join(zero,meet(X_15,complement(complement(X_15))))
    | join(meet(X_15,complement(complement(X_15))),complement(top)) = join(zero,meet(X_15,complement(complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,complement(complement(X_15))),complement(top)),join(complement(top),meet(X_15,complement(complement(X_15))))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    join(meet(X_15,complement(complement(X_15))),complement(top)) = join(zero,meet(X_15,complement(complement(X_15)))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_15,complement(complement(X_15)))),join(zero,meet(X_15,complement(complement(X_15))))) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    ( X_15 != join(meet(X_15,complement(complement(X_15))),complement(top))
    | join(meet(X_15,complement(complement(X_15))),complement(top)) != join(zero,meet(X_15,complement(complement(X_15))))
    | X_15 = join(zero,meet(X_15,complement(complement(X_15)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_15,join(zero,meet(X_15,complement(complement(X_15))))) ),[0],$fot(join(meet(X_15,complement(complement(X_15))),complement(top)))]]) ).

cnf(refute_0_283,plain,
    ( X_15 != join(meet(X_15,complement(complement(X_15))),complement(top))
    | X_15 = join(zero,meet(X_15,complement(complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,complement(complement(X_15))),complement(top)),join(zero,meet(X_15,complement(complement(X_15))))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    X_15 = join(zero,meet(X_15,complement(complement(X_15)))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,complement(complement(X_15))),complement(top))) )],[refute_0_249,refute_0_283]) ).

cnf(refute_0_285,plain,
    join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B)))))),
    inference(subst,[],[refute_0_284:[bind(X_15,$fot(join(complement(A),complement(B))))]]) ).

cnf(refute_0_286,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
    | join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) ),[1,1,1,0],$fot(meet(A,B))]]) ).

cnf(refute_0_287,plain,
    ( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
    | join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_79,refute_0_286]) ).

cnf(refute_0_288,plain,
    join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
    inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) )],[refute_0_285,refute_0_287]) ).

cnf(refute_0_289,plain,
    join(complement(complement(meet(A,B))),meet(A,B)) = join(meet(A,B),complement(complement(meet(A,B)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(complement(meet(A,B)))))]]) ).

cnf(refute_0_290,plain,
    complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
    introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))]]) ).

cnf(refute_0_291,plain,
    ( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
    | join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
    | complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) ),[1,0],$fot(join(meet(A,B),complement(complement(meet(A,B)))))]]) ).

cnf(refute_0_292,plain,
    ( join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
    | complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
    inference(resolve,[$cnf( $equal(join(complement(complement(meet(A,B))),meet(A,B)),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_289,refute_0_292]) ).

cnf(refute_0_294,plain,
    meet(A,join(complement(X_4),complement(X_5))) = complement(join(complement(A),complement(join(complement(X_4),complement(X_5))))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(complement(X_4),complement(X_5))))]]) ).

cnf(refute_0_295,plain,
    ( complement(join(complement(X_4),complement(X_5))) != meet(X_4,X_5)
    | meet(A,join(complement(X_4),complement(X_5))) != complement(join(complement(A),complement(join(complement(X_4),complement(X_5)))))
    | meet(A,join(complement(X_4),complement(X_5))) = complement(join(complement(A),meet(X_4,X_5))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),complement(join(complement(A),complement(join(complement(X_4),complement(X_5)))))) ),[1,0,1],$fot(meet(X_4,X_5))]]) ).

cnf(refute_0_296,plain,
    ( meet(A,join(complement(X_4),complement(X_5))) != complement(join(complement(A),complement(join(complement(X_4),complement(X_5)))))
    | meet(A,join(complement(X_4),complement(X_5))) = complement(join(complement(A),meet(X_4,X_5))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_4),complement(X_5))),meet(X_4,X_5)) )],[refute_0_137,refute_0_295]) ).

cnf(refute_0_297,plain,
    meet(A,join(complement(X_4),complement(X_5))) = complement(join(complement(A),meet(X_4,X_5))),
    inference(resolve,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),complement(join(complement(A),complement(join(complement(X_4),complement(X_5)))))) )],[refute_0_294,refute_0_296]) ).

cnf(refute_0_298,plain,
    meet(complement(meet(A,B)),join(complement(A),complement(B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
    inference(subst,[],[refute_0_297:[bind(A,$fot(complement(meet(A,B)))),bind(X_4,$fot(A)),bind(X_5,$fot(B))]]) ).

cnf(refute_0_299,plain,
    join(complement(A),complement(B)) = join(complement(B),complement(A)),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(A))),bind(B,$fot(complement(B)))]]) ).

cnf(refute_0_300,plain,
    ( join(complement(A),complement(B)) != join(complement(B),complement(A))
    | meet(A,B) != complement(join(complement(A),complement(B)))
    | meet(A,B) = complement(join(complement(B),complement(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) ),[1,0],$fot(join(complement(B),complement(A)))]]) ).

cnf(refute_0_301,plain,
    ( meet(A,B) != complement(join(complement(A),complement(B)))
    | meet(A,B) = complement(join(complement(B),complement(A))) ),
    inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(complement(B),complement(A))) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    meet(A,B) = complement(join(complement(B),complement(A))),
    inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_301]) ).

cnf(refute_0_303,plain,
    complement(join(complement(B),complement(A))) = meet(B,A),
    inference(subst,[],[refute_0_79:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).

cnf(refute_0_304,plain,
    ( complement(join(complement(B),complement(A))) != meet(B,A)
    | meet(A,B) != complement(join(complement(B),complement(A)))
    | meet(A,B) = meet(B,A) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,B),complement(join(complement(B),complement(A)))) ),[1],$fot(meet(B,A))]]) ).

cnf(refute_0_305,plain,
    ( meet(A,B) != complement(join(complement(B),complement(A)))
    | meet(A,B) = meet(B,A) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(B),complement(A))),meet(B,A)) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    meet(A,B) = meet(B,A),
    inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(B),complement(A)))) )],[refute_0_302,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( meet(A,B) != meet(B,A)
    | meet(B,A) = meet(A,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(meet(B,A)))]]) ).

cnf(refute_0_308,plain,
    meet(B,A) = meet(A,B),
    inference(resolve,[$cnf( $equal(meet(A,B),meet(B,A)) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    meet(join(complement(A),complement(B)),complement(meet(A,B))) = meet(complement(meet(A,B)),join(complement(A),complement(B))),
    inference(subst,[],[refute_0_308:[bind(A,$fot(complement(meet(A,B)))),bind(B,$fot(join(complement(A),complement(B))))]]) ).

cnf(refute_0_310,plain,
    ( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) != meet(complement(meet(A,B)),join(complement(A),complement(B)))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(meet(complement(meet(A,B)),join(complement(A),complement(B))))),bind(Z,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B)))))]]) ).

cnf(refute_0_311,plain,
    ( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),meet(complement(meet(A,B)),join(complement(A),complement(B)))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(A,B)),join(complement(A),complement(B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_298,refute_0_311]) ).

cnf(refute_0_313,plain,
    ( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))),bind(Z,$fot(complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).

cnf(refute_0_314,plain,
    ( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_293,refute_0_314]) ).

cnf(refute_0_316,plain,
    join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).

cnf(refute_0_317,plain,
    ( join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
    | meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) ),[1,1],$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))]]) ).

cnf(refute_0_318,plain,
    ( meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
    inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
    | join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
    | join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) ),[0],$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).

cnf(refute_0_321,plain,
    ( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
    | join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_319,refute_0_320]) ).

cnf(refute_0_322,plain,
    join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
    inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_288,refute_0_321]) ).

cnf(refute_0_323,plain,
    join(zero,B) = join(B,zero),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(zero))]]) ).

cnf(refute_0_324,plain,
    join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(join(top,complement(zero))))),bind(B,$fot(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))),bind(C,$fot(X_62))]]) ).

cnf(refute_0_325,plain,
    zero = join(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(zero)),bind(B,$fot(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_326,plain,
    meet(zero,join(top,complement(join(top,complement(zero))))) = complement(join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(zero)),bind(B,$fot(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_327,plain,
    X_15 = join(meet(X_15,top),complement(join(complement(X_15),top))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(X_15)),bind(B,$fot(top))]]) ).

cnf(refute_0_328,plain,
    meet(A,top) = complement(join(complement(A),complement(top))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(top))]]) ).

cnf(refute_0_329,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_330,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_273,refute_0_329]) ).

cnf(refute_0_331,plain,
    meet(A,top) = complement(join(complement(A),zero)),
    inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) )],[refute_0_328,refute_0_330]) ).

cnf(refute_0_332,plain,
    meet(top,B) = complement(join(complement(top),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).

cnf(refute_0_333,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_334,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_273,refute_0_333]) ).

cnf(refute_0_335,plain,
    meet(top,B) = complement(join(zero,complement(B))),
    inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_332,refute_0_334]) ).

cnf(refute_0_336,plain,
    ( meet(top,B) != complement(join(zero,complement(B)))
    | complement(join(zero,complement(B))) = meet(top,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).

cnf(refute_0_337,plain,
    complement(join(zero,complement(B))) = meet(top,B),
    inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    complement(join(zero,complement(A))) = meet(top,A),
    inference(subst,[],[refute_0_337:[bind(B,$fot(A))]]) ).

cnf(refute_0_339,plain,
    join(complement(A),zero) = join(zero,complement(A)),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(A)))]]) ).

cnf(refute_0_340,plain,
    complement(join(complement(A),zero)) = complement(join(complement(A),zero)),
    introduced(tautology,[refl,[$fot(complement(join(complement(A),zero)))]]) ).

cnf(refute_0_341,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_342,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_340,refute_0_341]) ).

cnf(refute_0_343,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_339,refute_0_342]) ).

cnf(refute_0_344,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_25:[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_345,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_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    complement(join(complement(A),zero)) = meet(top,A),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(A))),meet(top,A)) )],[refute_0_338,refute_0_345]) ).

cnf(refute_0_347,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_348,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_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    meet(A,top) = meet(top,A),
    inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) )],[refute_0_331,refute_0_348]) ).

cnf(refute_0_350,plain,
    meet(X_15,top) = meet(top,X_15),
    inference(subst,[],[refute_0_349:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_351,plain,
    ( X_15 != join(meet(X_15,top),complement(join(complement(X_15),top)))
    | meet(X_15,top) != meet(top,X_15)
    | X_15 = join(meet(top,X_15),complement(join(complement(X_15),top))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,join(meet(X_15,top),complement(join(complement(X_15),top)))) ),[1,0],$fot(meet(top,X_15))]]) ).

cnf(refute_0_352,plain,
    ( X_15 != join(meet(X_15,top),complement(join(complement(X_15),top)))
    | X_15 = join(meet(top,X_15),complement(join(complement(X_15),top))) ),
    inference(resolve,[$cnf( $equal(meet(X_15,top),meet(top,X_15)) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    X_15 = join(meet(top,X_15),complement(join(complement(X_15),top))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,top),complement(join(complement(X_15),top)))) )],[refute_0_327,refute_0_352]) ).

cnf(refute_0_354,plain,
    join(complement(X_15),top) = join(top,complement(X_15)),
    inference(subst,[],[refute_0_72:[bind(A,$fot(top)),bind(B,$fot(complement(X_15)))]]) ).

cnf(refute_0_355,plain,
    complement(join(complement(X_15),top)) = complement(join(complement(X_15),top)),
    introduced(tautology,[refl,[$fot(complement(join(complement(X_15),top)))]]) ).

cnf(refute_0_356,plain,
    ( complement(join(complement(X_15),top)) != complement(join(complement(X_15),top))
    | join(complement(X_15),top) != join(top,complement(X_15))
    | complement(join(complement(X_15),top)) = complement(join(top,complement(X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_15),top)),complement(join(complement(X_15),top))) ),[1,0],$fot(join(top,complement(X_15)))]]) ).

cnf(refute_0_357,plain,
    ( join(complement(X_15),top) != join(top,complement(X_15))
    | complement(join(complement(X_15),top)) = complement(join(top,complement(X_15))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_15),top)),complement(join(complement(X_15),top))) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    complement(join(complement(X_15),top)) = complement(join(top,complement(X_15))),
    inference(resolve,[$cnf( $equal(join(complement(X_15),top),join(top,complement(X_15))) )],[refute_0_354,refute_0_357]) ).

cnf(refute_0_359,plain,
    join(meet(top,X_15),complement(join(complement(X_15),top))) = join(meet(top,X_15),complement(join(complement(X_15),top))),
    introduced(tautology,[refl,[$fot(join(meet(top,X_15),complement(join(complement(X_15),top))))]]) ).

cnf(refute_0_360,plain,
    ( complement(join(complement(X_15),top)) != complement(join(top,complement(X_15)))
    | join(meet(top,X_15),complement(join(complement(X_15),top))) != join(meet(top,X_15),complement(join(complement(X_15),top)))
    | join(meet(top,X_15),complement(join(complement(X_15),top))) = join(meet(top,X_15),complement(join(top,complement(X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_15),complement(join(complement(X_15),top))),join(meet(top,X_15),complement(join(complement(X_15),top)))) ),[1,1],$fot(complement(join(top,complement(X_15))))]]) ).

cnf(refute_0_361,plain,
    ( complement(join(complement(X_15),top)) != complement(join(top,complement(X_15)))
    | join(meet(top,X_15),complement(join(complement(X_15),top))) = join(meet(top,X_15),complement(join(top,complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_15),complement(join(complement(X_15),top))),join(meet(top,X_15),complement(join(complement(X_15),top)))) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    join(meet(top,X_15),complement(join(complement(X_15),top))) = join(meet(top,X_15),complement(join(top,complement(X_15)))),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_15),top)),complement(join(top,complement(X_15)))) )],[refute_0_358,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( X_15 != join(meet(top,X_15),complement(join(complement(X_15),top)))
    | join(meet(top,X_15),complement(join(complement(X_15),top))) != join(meet(top,X_15),complement(join(top,complement(X_15))))
    | X_15 = join(meet(top,X_15),complement(join(top,complement(X_15)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_15,join(meet(top,X_15),complement(join(top,complement(X_15))))) ),[0],$fot(join(meet(top,X_15),complement(join(complement(X_15),top))))]]) ).

cnf(refute_0_364,plain,
    ( X_15 != join(meet(top,X_15),complement(join(complement(X_15),top)))
    | X_15 = join(meet(top,X_15),complement(join(top,complement(X_15)))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_15),complement(join(complement(X_15),top))),join(meet(top,X_15),complement(join(top,complement(X_15))))) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    X_15 = join(meet(top,X_15),complement(join(top,complement(X_15)))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(top,X_15),complement(join(complement(X_15),top)))) )],[refute_0_353,refute_0_364]) ).

cnf(refute_0_366,plain,
    join(top,complement(zero)) = join(meet(top,join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))),
    inference(subst,[],[refute_0_365:[bind(X_15,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_367,plain,
    meet(top,join(top,complement(zero))) = complement(join(zero,complement(join(top,complement(zero))))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_368,plain,
    complement(top) = join(meet(top,complement(top)),complement(join(top,complement(complement(top))))),
    inference(subst,[],[refute_0_365:[bind(X_15,$fot(complement(top)))]]) ).

cnf(refute_0_369,plain,
    zero = meet(top,complement(top)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(top))]]) ).

cnf(refute_0_370,plain,
    ( zero != meet(top,complement(top))
    | meet(top,complement(top)) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).

cnf(refute_0_371,plain,
    meet(top,complement(top)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    ( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
    | meet(top,complement(top)) != zero
    | complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_373,plain,
    ( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
    | complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
    inference(resolve,[$cnf( $equal(meet(top,complement(top)),zero) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    complement(top) = join(zero,complement(join(top,complement(complement(top))))),
    inference(resolve,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) )],[refute_0_368,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
    | complement(top) != zero
    | zero = join(zero,complement(join(top,complement(complement(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_376,plain,
    ( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
    | zero = join(zero,complement(join(top,complement(complement(top))))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_375]) ).

cnf(refute_0_377,plain,
    complement(complement(top)) = complement(complement(top)),
    introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).

cnf(refute_0_378,plain,
    ( complement(complement(top)) != complement(complement(top))
    | complement(top) != zero
    | complement(complement(top)) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_379,plain,
    ( complement(top) != zero
    | complement(complement(top)) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    complement(complement(top)) = complement(zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_379]) ).

cnf(refute_0_381,plain,
    join(top,complement(complement(top))) = join(top,complement(complement(top))),
    introduced(tautology,[refl,[$fot(join(top,complement(complement(top))))]]) ).

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

cnf(refute_0_383,plain,
    ( complement(complement(top)) != complement(zero)
    | join(top,complement(complement(top))) = join(top,complement(zero)) ),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    join(top,complement(complement(top))) = join(top,complement(zero)),
    inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_380,refute_0_383]) ).

cnf(refute_0_385,plain,
    complement(join(top,complement(complement(top)))) = complement(join(top,complement(complement(top)))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(complement(top)))))]]) ).

cnf(refute_0_386,plain,
    ( complement(join(top,complement(complement(top)))) != complement(join(top,complement(complement(top))))
    | join(top,complement(complement(top))) != join(top,complement(zero))
    | complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) ),[1,0],$fot(join(top,complement(zero)))]]) ).

cnf(refute_0_387,plain,
    ( join(top,complement(complement(top))) != join(top,complement(zero))
    | complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(zero))) )],[refute_0_384,refute_0_387]) ).

cnf(refute_0_389,plain,
    join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(complement(top))))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(complement(top))))))]]) ).

cnf(refute_0_390,plain,
    ( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
    | join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(complement(top)))))
    | join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) ),[1,1],$fot(complement(join(top,complement(zero))))]]) ).

cnf(refute_0_391,plain,
    ( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
    | join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(zero)))) )],[refute_0_388,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(zero))))
    | zero != join(zero,complement(join(top,complement(complement(top)))))
    | zero = join(zero,complement(join(top,complement(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) ),[1],$fot(join(zero,complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_394,plain,
    ( zero != join(zero,complement(join(top,complement(complement(top)))))
    | zero = join(zero,complement(join(top,complement(zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(zero))))) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    ( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
    | zero = join(zero,complement(join(top,complement(zero)))) ),
    inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_376,refute_0_394]) ).

cnf(refute_0_396,plain,
    zero = join(zero,complement(join(top,complement(zero)))),
    inference(resolve,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_374,refute_0_395]) ).

cnf(refute_0_397,plain,
    ( zero != join(zero,complement(join(top,complement(zero))))
    | join(zero,complement(join(top,complement(zero)))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_398,plain,
    join(zero,complement(join(top,complement(zero)))) = zero,
    inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    ( join(zero,complement(join(top,complement(zero)))) != zero
    | meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
    | meet(top,join(top,complement(zero))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_400,plain,
    ( meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
    | meet(top,join(top,complement(zero))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),zero) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    meet(top,join(top,complement(zero))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) )],[refute_0_367,refute_0_400]) ).

cnf(refute_0_402,plain,
    ( join(top,complement(zero)) != join(meet(top,join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))
    | meet(top,join(top,complement(zero))) != complement(zero)
    | join(top,complement(zero)) = join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(meet(top,join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) ),[1,0],$fot(complement(zero))]]) ).

cnf(refute_0_403,plain,
    ( join(top,complement(zero)) != join(meet(top,join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))
    | join(top,complement(zero)) = join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    join(top,complement(zero)) = join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(meet(top,join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) )],[refute_0_366,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( join(top,complement(zero)) != join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(top,complement(zero)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,complement(zero)))),bind(Y,$fot(join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_406,plain,
    join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(top,complement(zero)),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    ( join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) != join(top,complement(zero))
    | meet(zero,join(top,complement(join(top,complement(zero))))) != complement(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))
    | meet(zero,join(top,complement(join(top,complement(zero))))) = complement(join(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))) ),[1,0],$fot(join(top,complement(zero)))]]) ).

cnf(refute_0_408,plain,
    ( meet(zero,join(top,complement(join(top,complement(zero))))) != complement(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))
    | meet(zero,join(top,complement(join(top,complement(zero))))) = complement(join(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),join(top,complement(zero))) )],[refute_0_406,refute_0_407]) ).

cnf(refute_0_409,plain,
    meet(zero,join(top,complement(join(top,complement(zero))))) = complement(join(top,complement(zero))),
    inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))) )],[refute_0_326,refute_0_408]) ).

cnf(refute_0_410,plain,
    ( meet(zero,join(top,complement(join(top,complement(zero))))) != complement(join(top,complement(zero)))
    | zero != join(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))
    | zero = join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))) ),[1,0],$fot(complement(join(top,complement(zero))))]]) ).

cnf(refute_0_411,plain,
    ( zero != join(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))
    | zero = join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) ),
    inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))) )],[refute_0_409,refute_0_410]) ).

cnf(refute_0_412,plain,
    zero = join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))) )],[refute_0_325,refute_0_411]) ).

cnf(refute_0_413,plain,
    ( zero != join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))
    | join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_414,plain,
    join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) = zero,
    inference(resolve,[$cnf( $equal(zero,join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    ( join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) != zero
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),X_62)
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),X_62)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_416,plain,
    ( join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),X_62)
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,X_62) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),zero) )],[refute_0_414,refute_0_415]) ).

cnf(refute_0_417,plain,
    join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,X_62),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(join(complement(join(top,complement(zero))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))),X_62)) )],[refute_0_324,refute_0_416]) ).

cnf(refute_0_418,plain,
    join(complement(join(top,complement(zero))),join(zero,X_62)) = join(zero,join(X_62,complement(join(top,complement(zero))))),
    inference(subst,[],[refute_0_19:[bind(A,$fot(complement(join(top,complement(zero))))),bind(X_60,$fot(zero)),bind(X_61,$fot(X_62))]]) ).

cnf(refute_0_419,plain,
    top = join(join(X_60,X_61),complement(join(X_60,X_61))),
    inference(subst,[],[def_top_12:[bind(A,$fot(join(X_60,X_61)))]]) ).

cnf(refute_0_420,plain,
    join(X_60,join(X_61,complement(join(X_60,X_61)))) = join(join(X_60,X_61),complement(join(X_60,X_61))),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(complement(join(X_60,X_61))))]]) ).

cnf(refute_0_421,plain,
    ( join(X_60,join(X_61,complement(join(X_60,X_61)))) != join(join(X_60,X_61),complement(join(X_60,X_61)))
    | join(join(X_60,X_61),complement(join(X_60,X_61))) = join(X_60,join(X_61,complement(join(X_60,X_61)))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,join(X_61,complement(join(X_60,X_61)))))),bind(Y,$fot(join(join(X_60,X_61),complement(join(X_60,X_61)))))]]) ).

cnf(refute_0_422,plain,
    join(join(X_60,X_61),complement(join(X_60,X_61))) = join(X_60,join(X_61,complement(join(X_60,X_61)))),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,complement(join(X_60,X_61)))),join(join(X_60,X_61),complement(join(X_60,X_61)))) )],[refute_0_420,refute_0_421]) ).

cnf(refute_0_423,plain,
    ( join(join(X_60,X_61),complement(join(X_60,X_61))) != join(X_60,join(X_61,complement(join(X_60,X_61))))
    | top != join(join(X_60,X_61),complement(join(X_60,X_61)))
    | top = join(X_60,join(X_61,complement(join(X_60,X_61)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_60,X_61),complement(join(X_60,X_61)))) ),[1],$fot(join(X_60,join(X_61,complement(join(X_60,X_61)))))]]) ).

cnf(refute_0_424,plain,
    ( top != join(join(X_60,X_61),complement(join(X_60,X_61)))
    | top = join(X_60,join(X_61,complement(join(X_60,X_61)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,X_61),complement(join(X_60,X_61))),join(X_60,join(X_61,complement(join(X_60,X_61))))) )],[refute_0_422,refute_0_423]) ).

cnf(refute_0_425,plain,
    top = join(X_60,join(X_61,complement(join(X_60,X_61)))),
    inference(resolve,[$cnf( $equal(top,join(join(X_60,X_61),complement(join(X_60,X_61)))) )],[refute_0_419,refute_0_424]) ).

cnf(refute_0_426,plain,
    ( top != join(X_60,join(X_61,complement(join(X_60,X_61))))
    | join(X_60,join(X_61,complement(join(X_60,X_61)))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_60,join(X_61,complement(join(X_60,X_61))))))]]) ).

cnf(refute_0_427,plain,
    join(X_60,join(X_61,complement(join(X_60,X_61)))) = top,
    inference(resolve,[$cnf( $equal(top,join(X_60,join(X_61,complement(join(X_60,X_61))))) )],[refute_0_425,refute_0_426]) ).

cnf(refute_0_428,plain,
    join(top,join(complement(zero),complement(join(top,complement(zero))))) = top,
    inference(subst,[],[refute_0_427:[bind(X_60,$fot(top)),bind(X_61,$fot(complement(zero)))]]) ).

cnf(refute_0_429,plain,
    join(X_60,join(X_61,X_62)) = join(join(X_60,X_61),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(X_62))]]) ).

cnf(refute_0_430,plain,
    join(X_62,X_61) = join(X_61,X_62),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_62)),bind(B,$fot(X_61))]]) ).

cnf(refute_0_431,plain,
    ( join(X_62,X_61) != join(X_61,X_62)
    | join(X_61,X_62) = join(X_62,X_61) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_62,X_61))),bind(Y,$fot(join(X_61,X_62)))]]) ).

cnf(refute_0_432,plain,
    join(X_61,X_62) = join(X_62,X_61),
    inference(resolve,[$cnf( $equal(join(X_62,X_61),join(X_61,X_62)) )],[refute_0_430,refute_0_431]) ).

cnf(refute_0_433,plain,
    ( join(X_60,join(X_61,X_62)) != join(join(X_60,X_61),X_62)
    | join(X_61,X_62) != join(X_62,X_61)
    | join(X_60,join(X_62,X_61)) = join(join(X_60,X_61),X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(join(X_60,X_61),X_62)) ),[0,1],$fot(join(X_62,X_61))]]) ).

cnf(refute_0_434,plain,
    ( join(X_60,join(X_61,X_62)) != join(join(X_60,X_61),X_62)
    | join(X_60,join(X_62,X_61)) = join(join(X_60,X_61),X_62) ),
    inference(resolve,[$cnf( $equal(join(X_61,X_62),join(X_62,X_61)) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    join(X_60,join(X_62,X_61)) = join(join(X_60,X_61),X_62),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(join(X_60,X_61),X_62)) )],[refute_0_429,refute_0_434]) ).

cnf(refute_0_436,plain,
    join(join(X_60,X_61),X_62) = join(X_60,join(X_61,X_62)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(X_62))]]) ).

cnf(refute_0_437,plain,
    ( join(X_60,join(X_62,X_61)) != join(join(X_60,X_61),X_62)
    | join(join(X_60,X_61),X_62) != join(X_60,join(X_61,X_62))
    | join(X_60,join(X_62,X_61)) = join(X_60,join(X_61,X_62)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,join(X_62,X_61)),join(X_60,join(X_61,X_62))) ),[0],$fot(join(join(X_60,X_61),X_62))]]) ).

cnf(refute_0_438,plain,
    ( join(X_60,join(X_62,X_61)) != join(join(X_60,X_61),X_62)
    | join(X_60,join(X_62,X_61)) = join(X_60,join(X_61,X_62)) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,X_61),X_62),join(X_60,join(X_61,X_62))) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    join(X_60,join(X_62,X_61)) = join(X_60,join(X_61,X_62)),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_62,X_61)),join(join(X_60,X_61),X_62)) )],[refute_0_435,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( join(X_60,join(X_62,X_61)) != join(X_60,join(X_61,X_62))
    | join(X_60,join(X_61,X_62)) = join(X_60,join(X_62,X_61)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,join(X_62,X_61)))),bind(Y,$fot(join(X_60,join(X_61,X_62))))]]) ).

cnf(refute_0_441,plain,
    join(X_60,join(X_61,X_62)) = join(X_60,join(X_62,X_61)),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_62,X_61)),join(X_60,join(X_61,X_62))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    join(top,join(complement(join(top,complement(zero))),complement(zero))) = join(top,join(complement(zero),complement(join(top,complement(zero))))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(top)),bind(X_61,$fot(complement(join(top,complement(zero))))),bind(X_62,$fot(complement(zero)))]]) ).

cnf(refute_0_443,plain,
    ( join(top,join(complement(join(top,complement(zero))),complement(zero))) != join(top,join(complement(zero),complement(join(top,complement(zero)))))
    | join(top,join(complement(zero),complement(join(top,complement(zero))))) != top
    | join(top,join(complement(join(top,complement(zero))),complement(zero))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,join(complement(join(top,complement(zero))),complement(zero))))),bind(Y,$fot(join(top,join(complement(zero),complement(join(top,complement(zero))))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_444,plain,
    ( join(top,join(complement(zero),complement(join(top,complement(zero))))) != top
    | join(top,join(complement(join(top,complement(zero))),complement(zero))) = top ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),complement(zero))),join(top,join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    join(top,join(complement(join(top,complement(zero))),complement(zero))) = top,
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),complement(join(top,complement(zero))))),top) )],[refute_0_428,refute_0_444]) ).

cnf(refute_0_446,plain,
    join(complement(zero),join(top,complement(join(top,complement(zero))))) = join(top,join(complement(join(top,complement(zero))),complement(zero))),
    inference(subst,[],[refute_0_19:[bind(A,$fot(complement(zero))),bind(X_60,$fot(top)),bind(X_61,$fot(complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_447,plain,
    ( join(complement(zero),join(top,complement(join(top,complement(zero))))) != join(top,join(complement(join(top,complement(zero))),complement(zero)))
    | join(top,join(complement(join(top,complement(zero))),complement(zero))) != top
    | join(complement(zero),join(top,complement(join(top,complement(zero))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),join(top,complement(join(top,complement(zero))))))),bind(Y,$fot(join(top,join(complement(join(top,complement(zero))),complement(zero))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_448,plain,
    ( join(top,join(complement(join(top,complement(zero))),complement(zero))) != top
    | join(complement(zero),join(top,complement(join(top,complement(zero))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(top,complement(join(top,complement(zero))))),join(top,join(complement(join(top,complement(zero))),complement(zero)))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    join(complement(zero),join(top,complement(join(top,complement(zero))))) = top,
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),complement(zero))),top) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),
    introduced(tautology,[refl,[$fot(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_451,plain,
    ( complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) != complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))
    | join(complement(zero),join(top,complement(join(top,complement(zero))))) != top
    | complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_452,plain,
    ( join(complement(zero),join(top,complement(join(top,complement(zero))))) != top
    | complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),complement(join(complement(zero),join(top,complement(join(top,complement(zero))))))) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(top,complement(join(top,complement(zero))))),top) )],[refute_0_449,refute_0_452]) ).

cnf(refute_0_454,plain,
    ( complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) != complement(top)
    | complement(top) != zero
    | complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_455,plain,
    ( complement(top) != zero
    | complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),complement(top)) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_455]) ).

cnf(refute_0_457,plain,
    join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) = join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62),
    introduced(tautology,[refl,[$fot(join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62))]]) ).

cnf(refute_0_458,plain,
    ( complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) != zero
    | join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) != join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)
    | join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) = join(zero,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_459,plain,
    ( complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))) != zero
    | join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) = join(zero,X_62) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) = join(zero,X_62),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),zero) )],[refute_0_456,refute_0_459]) ).

cnf(refute_0_461,plain,
    join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),
    introduced(tautology,[refl,[$fot(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)))]]) ).

cnf(refute_0_462,plain,
    ( join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) != join(zero,X_62)
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62))
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(complement(join(top,complement(zero))),join(zero,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62))) ),[1,1],$fot(join(zero,X_62))]]) ).

cnf(refute_0_463,plain,
    ( join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62) != join(zero,X_62)
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(complement(join(top,complement(zero))),join(zero,X_62)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(complement(join(top,complement(zero))),join(zero,X_62)),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62),join(zero,X_62)) )],[refute_0_460,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(complement(join(top,complement(zero))),join(zero,X_62))
    | join(complement(join(top,complement(zero))),join(zero,X_62)) != join(zero,join(X_62,complement(join(top,complement(zero)))))
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,join(X_62,complement(join(top,complement(zero))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)))),bind(Y,$fot(join(complement(join(top,complement(zero))),join(zero,X_62)))),bind(Z,$fot(join(zero,join(X_62,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_466,plain,
    ( join(complement(join(top,complement(zero))),join(zero,X_62)) != join(zero,join(X_62,complement(join(top,complement(zero)))))
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,join(X_62,complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(complement(join(top,complement(zero))),join(zero,X_62))) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) = join(zero,join(X_62,complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(zero,X_62)),join(zero,join(X_62,complement(join(top,complement(zero)))))) )],[refute_0_418,refute_0_466]) ).

cnf(refute_0_468,plain,
    ( join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(zero,X_62)
    | join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(zero,join(X_62,complement(join(top,complement(zero)))))
    | join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(zero,X_62)) ),[0],$fot(join(zero,join(X_62,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_469,plain,
    ( join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)) != join(zero,X_62)
    | join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,X_62) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(zero,join(X_62,complement(join(top,complement(zero)))))) )],[refute_0_467,refute_0_468]) ).

cnf(refute_0_470,plain,
    join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,X_62),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(complement(join(complement(zero),join(top,complement(join(top,complement(zero)))))),X_62)),join(zero,X_62)) )],[refute_0_417,refute_0_469]) ).

cnf(refute_0_471,plain,
    join(zero,complement(zero)) = top,
    inference(subst,[],[refute_0_255:[bind(A,$fot(zero))]]) ).

cnf(refute_0_472,plain,
    join(complement(zero),zero) = join(zero,complement(zero)),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(zero)))]]) ).

cnf(refute_0_473,plain,
    ( join(complement(zero),zero) != join(zero,complement(zero))
    | join(zero,complement(zero)) != top
    | join(complement(zero),zero) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),zero))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_474,plain,
    ( join(zero,complement(zero)) != top
    | join(complement(zero),zero) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),zero),join(zero,complement(zero))) )],[refute_0_472,refute_0_473]) ).

cnf(refute_0_475,plain,
    join(complement(zero),zero) = top,
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_471,refute_0_474]) ).

cnf(refute_0_476,plain,
    top = join(complement(top),join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero))))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(top)),bind(X_5,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_477,plain,
    ( meet(top,join(top,complement(zero))) != complement(zero)
    | top != join(complement(top),join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero)))))
    | top = join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero)))))) ),[1,1,1],$fot(complement(zero))]]) ).

cnf(refute_0_478,plain,
    ( top != join(complement(top),join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero)))))
    | top = join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_401,refute_0_477]) ).

cnf(refute_0_479,plain,
    top = join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),
    inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero)))))) )],[refute_0_476,refute_0_478]) ).

cnf(refute_0_480,plain,
    join(complement(join(top,complement(zero))),complement(zero)) = join(complement(zero),complement(join(top,complement(zero)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(zero))),bind(B,$fot(complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_481,plain,
    join(zero,join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(join(top,complement(zero))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(join(top,complement(zero))),complement(zero))))]]) ).

cnf(refute_0_482,plain,
    ( join(complement(join(top,complement(zero))),complement(zero)) != join(complement(zero),complement(join(top,complement(zero))))
    | join(zero,join(complement(join(top,complement(zero))),complement(zero))) != join(zero,join(complement(join(top,complement(zero))),complement(zero)))
    | join(zero,join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(join(top,complement(zero))),complement(zero))),join(zero,join(complement(join(top,complement(zero))),complement(zero)))) ),[1,1],$fot(join(complement(zero),complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_483,plain,
    ( join(complement(join(top,complement(zero))),complement(zero)) != join(complement(zero),complement(join(top,complement(zero))))
    | join(zero,join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(join(top,complement(zero))),complement(zero))),join(zero,join(complement(join(top,complement(zero))),complement(zero)))) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    join(zero,join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),complement(zero)),join(complement(zero),complement(join(top,complement(zero))))) )],[refute_0_480,refute_0_483]) ).

cnf(refute_0_485,plain,
    join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))))]]) ).

cnf(refute_0_486,plain,
    ( complement(top) != zero
    | join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) != join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))
    | join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(join(top,complement(zero))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_487,plain,
    ( complement(top) != zero
    | join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(join(top,complement(zero))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))) )],[refute_0_485,refute_0_486]) ).

cnf(refute_0_488,plain,
    join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(join(top,complement(zero))),complement(zero))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_487]) ).

cnf(refute_0_489,plain,
    ( join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) != join(zero,join(complement(join(top,complement(zero))),complement(zero)))
    | join(zero,join(complement(join(top,complement(zero))),complement(zero))) != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))))),bind(Y,$fot(join(zero,join(complement(join(top,complement(zero))),complement(zero))))),bind(Z,$fot(join(zero,join(complement(zero),complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_490,plain,
    ( join(zero,join(complement(join(top,complement(zero))),complement(zero))) != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),join(zero,join(complement(join(top,complement(zero))),complement(zero)))) )],[refute_0_488,refute_0_489]) ).

cnf(refute_0_491,plain,
    join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(join(top,complement(zero))),complement(zero))),join(zero,join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_484,refute_0_490]) ).

cnf(refute_0_492,plain,
    ( join(complement(top),join(complement(join(top,complement(zero))),complement(zero))) != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | top != join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))
    | top = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))) ),[1],$fot(join(zero,join(complement(zero),complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_493,plain,
    ( top != join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))
    | top = join(zero,join(complement(zero),complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(top,complement(zero))),complement(zero))),join(zero,join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_491,refute_0_492]) ).

cnf(refute_0_494,plain,
    top = join(zero,join(complement(zero),complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(join(top,complement(zero))),complement(zero)))) )],[refute_0_479,refute_0_493]) ).

cnf(refute_0_495,plain,
    join(X_60,join(complement(X_60),X_62)) = join(join(X_60,complement(X_60)),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(complement(X_60))),bind(C,$fot(X_62))]]) ).

cnf(refute_0_496,plain,
    top = join(X_60,complement(X_60)),
    inference(subst,[],[def_top_12:[bind(A,$fot(X_60))]]) ).

cnf(refute_0_497,plain,
    ( top != join(X_60,complement(X_60))
    | join(X_60,complement(X_60)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_60,complement(X_60))))]]) ).

cnf(refute_0_498,plain,
    join(X_60,complement(X_60)) = top,
    inference(resolve,[$cnf( $equal(top,join(X_60,complement(X_60))) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    ( join(X_60,complement(X_60)) != top
    | join(X_60,join(complement(X_60),X_62)) != join(join(X_60,complement(X_60)),X_62)
    | join(X_60,join(complement(X_60),X_62)) = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(complement(X_60),X_62)),join(join(X_60,complement(X_60)),X_62)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_500,plain,
    ( join(X_60,join(complement(X_60),X_62)) != join(join(X_60,complement(X_60)),X_62)
    | join(X_60,join(complement(X_60),X_62)) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(X_60,complement(X_60)),top) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    join(X_60,join(complement(X_60),X_62)) = join(top,X_62),
    inference(resolve,[$cnf( $equal(join(X_60,join(complement(X_60),X_62)),join(join(X_60,complement(X_60)),X_62)) )],[refute_0_495,refute_0_500]) ).

cnf(refute_0_502,plain,
    join(zero,join(complement(zero),complement(join(top,complement(zero))))) = join(top,complement(join(top,complement(zero)))),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(zero)),bind(X_62,$fot(complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_503,plain,
    ( join(zero,join(complement(zero),complement(join(top,complement(zero))))) != join(top,complement(join(top,complement(zero))))
    | top != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | top = join(top,complement(join(top,complement(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) ),[1],$fot(join(top,complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_504,plain,
    ( top != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | top = join(top,complement(join(top,complement(zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),complement(join(top,complement(zero))))),join(top,complement(join(top,complement(zero))))) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    top = join(top,complement(join(top,complement(zero)))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_494,refute_0_504]) ).

cnf(refute_0_506,plain,
    ( top != join(top,complement(join(top,complement(zero))))
    | join(top,complement(join(top,complement(zero)))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_507,plain,
    join(top,complement(join(top,complement(zero)))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(join(top,complement(zero))))) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    complement(join(top,complement(join(top,complement(zero))))) = complement(join(top,complement(join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_509,plain,
    ( complement(join(top,complement(join(top,complement(zero))))) != complement(join(top,complement(join(top,complement(zero)))))
    | join(top,complement(join(top,complement(zero)))) != top
    | complement(join(top,complement(join(top,complement(zero))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(join(top,complement(zero)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_510,plain,
    ( join(top,complement(join(top,complement(zero)))) != top
    | complement(join(top,complement(join(top,complement(zero))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(join(top,complement(zero)))))) )],[refute_0_508,refute_0_509]) ).

cnf(refute_0_511,plain,
    complement(join(top,complement(join(top,complement(zero))))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(join(top,complement(zero)))),top) )],[refute_0_507,refute_0_510]) ).

cnf(refute_0_512,plain,
    ( complement(join(top,complement(join(top,complement(zero))))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(join(top,complement(zero))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(join(top,complement(zero))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_513,plain,
    ( complement(top) != zero
    | complement(join(top,complement(join(top,complement(zero))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(top,complement(zero))))),complement(top)) )],[refute_0_511,refute_0_512]) ).

cnf(refute_0_514,plain,
    complement(join(top,complement(join(top,complement(zero))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_513]) ).

cnf(refute_0_515,plain,
    join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_516,plain,
    ( complement(join(top,complement(join(top,complement(zero))))) != zero
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(complement(zero),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_517,plain,
    ( complement(join(top,complement(join(top,complement(zero))))) != zero
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(complement(zero),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = join(complement(zero),zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(top,complement(zero))))),zero) )],[refute_0_514,refute_0_517]) ).

cnf(refute_0_519,plain,
    ( join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) != join(complement(zero),zero)
    | join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))))),bind(Y,$fot(join(complement(zero),zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_520,plain,
    ( join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),join(complement(zero),zero)) )],[refute_0_518,refute_0_519]) ).

cnf(refute_0_521,plain,
    join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),zero),top) )],[refute_0_475,refute_0_520]) ).

cnf(refute_0_522,plain,
    ( join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))) != top
    | join(top,complement(zero)) != join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))
    | join(top,complement(zero)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))) ),[1],$fot(top)]]) ).

cnf(refute_0_523,plain,
    ( join(top,complement(zero)) != join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))
    | join(top,complement(zero)) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(top,complement(zero)))))),top) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    join(top,complement(zero)) = top,
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(complement(zero),complement(join(top,complement(join(top,complement(zero))))))) )],[refute_0_404,refute_0_523]) ).

cnf(refute_0_525,plain,
    complement(join(top,complement(zero))) = complement(join(top,complement(zero))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(zero))))]]) ).

cnf(refute_0_526,plain,
    ( complement(join(top,complement(zero))) != complement(join(top,complement(zero)))
    | join(top,complement(zero)) != top
    | complement(join(top,complement(zero))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_527,plain,
    ( join(top,complement(zero)) != top
    | complement(join(top,complement(zero))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    complement(join(top,complement(zero))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),top) )],[refute_0_524,refute_0_527]) ).

cnf(refute_0_529,plain,
    ( complement(join(top,complement(zero))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(zero))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(zero))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_530,plain,
    ( complement(top) != zero
    | complement(join(top,complement(zero))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(top)) )],[refute_0_528,refute_0_529]) ).

cnf(refute_0_531,plain,
    complement(join(top,complement(zero))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_530]) ).

cnf(refute_0_532,plain,
    join(X_62,complement(join(top,complement(zero)))) = join(X_62,complement(join(top,complement(zero)))),
    introduced(tautology,[refl,[$fot(join(X_62,complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_533,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(X_62,complement(join(top,complement(zero)))) != join(X_62,complement(join(top,complement(zero))))
    | join(X_62,complement(join(top,complement(zero)))) = join(X_62,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_62,complement(join(top,complement(zero)))),join(X_62,complement(join(top,complement(zero))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_534,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(X_62,complement(join(top,complement(zero)))) = join(X_62,zero) ),
    inference(resolve,[$cnf( $equal(join(X_62,complement(join(top,complement(zero)))),join(X_62,complement(join(top,complement(zero))))) )],[refute_0_532,refute_0_533]) ).

cnf(refute_0_535,plain,
    join(X_62,complement(join(top,complement(zero)))) = join(X_62,zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),zero) )],[refute_0_531,refute_0_534]) ).

cnf(refute_0_536,plain,
    join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,join(X_62,complement(join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(join(zero,join(X_62,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_537,plain,
    ( join(X_62,complement(join(top,complement(zero)))) != join(X_62,zero)
    | join(zero,join(X_62,complement(join(top,complement(zero))))) != join(zero,join(X_62,complement(join(top,complement(zero)))))
    | join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,join(X_62,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_62,complement(join(top,complement(zero))))),join(zero,join(X_62,complement(join(top,complement(zero)))))) ),[1,1],$fot(join(X_62,zero))]]) ).

cnf(refute_0_538,plain,
    ( join(X_62,complement(join(top,complement(zero)))) != join(X_62,zero)
    | join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,join(X_62,zero)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_62,complement(join(top,complement(zero))))),join(zero,join(X_62,complement(join(top,complement(zero)))))) )],[refute_0_536,refute_0_537]) ).

cnf(refute_0_539,plain,
    join(zero,join(X_62,complement(join(top,complement(zero))))) = join(zero,join(X_62,zero)),
    inference(resolve,[$cnf( $equal(join(X_62,complement(join(top,complement(zero)))),join(X_62,zero)) )],[refute_0_535,refute_0_538]) ).

cnf(refute_0_540,plain,
    ( join(zero,join(X_62,complement(join(top,complement(zero))))) != join(zero,X_62)
    | join(zero,join(X_62,complement(join(top,complement(zero))))) != join(zero,join(X_62,zero))
    | join(zero,join(X_62,zero)) = join(zero,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_62,complement(join(top,complement(zero))))),join(zero,X_62)) ),[0],$fot(join(zero,join(X_62,zero)))]]) ).

cnf(refute_0_541,plain,
    ( join(zero,join(X_62,complement(join(top,complement(zero))))) != join(zero,X_62)
    | join(zero,join(X_62,zero)) = join(zero,X_62) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_62,complement(join(top,complement(zero))))),join(zero,join(X_62,zero))) )],[refute_0_539,refute_0_540]) ).

cnf(refute_0_542,plain,
    join(zero,join(X_62,zero)) = join(zero,X_62),
    inference(resolve,[$cnf( $equal(join(zero,join(X_62,complement(join(top,complement(zero))))),join(zero,X_62)) )],[refute_0_470,refute_0_541]) ).

cnf(refute_0_543,plain,
    join(zero,join(complement(complement(A)),zero)) = join(zero,complement(complement(A))),
    inference(subst,[],[refute_0_542:[bind(X_62,$fot(complement(complement(A))))]]) ).

cnf(refute_0_544,plain,
    A = join(meet(A,complement(A)),complement(join(complement(A),complement(A)))),
    inference(subst,[],[refute_0_89:[bind(B,$fot(complement(A)))]]) ).

cnf(refute_0_545,plain,
    join(complement(X_8),composition(converse(converse(A)),complement(composition(converse(A),X_8)))) = complement(X_8),
    inference(subst,[],[refute_0_151:[bind(A,$fot(converse(A))),bind(B,$fot(X_8))]]) ).

cnf(refute_0_546,plain,
    ( converse(converse(A)) != A
    | join(complement(X_8),composition(converse(converse(A)),complement(composition(converse(A),X_8)))) != complement(X_8)
    | join(complement(X_8),composition(A,complement(composition(converse(A),X_8)))) = complement(X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),composition(converse(converse(A)),complement(composition(converse(A),X_8)))),complement(X_8)) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_547,plain,
    ( join(complement(X_8),composition(converse(converse(A)),complement(composition(converse(A),X_8)))) != complement(X_8)
    | join(complement(X_8),composition(A,complement(composition(converse(A),X_8)))) = complement(X_8) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_546]) ).

cnf(refute_0_548,plain,
    join(complement(X_8),composition(A,complement(composition(converse(A),X_8)))) = complement(X_8),
    inference(resolve,[$cnf( $equal(join(complement(X_8),composition(converse(converse(A)),complement(composition(converse(A),X_8)))),complement(X_8)) )],[refute_0_545,refute_0_547]) ).

cnf(refute_0_549,plain,
    join(complement(X_8),composition(converse(one),complement(composition(converse(converse(one)),X_8)))) = complement(X_8),
    inference(subst,[],[refute_0_548:[bind(A,$fot(converse(one)))]]) ).

cnf(refute_0_550,plain,
    complement(composition(converse(converse(one)),X_8)) = composition(converse(one),complement(composition(converse(converse(one)),X_8))),
    inference(subst,[],[refute_0_182:[bind(X_68,$fot(complement(composition(converse(converse(one)),X_8))))]]) ).

cnf(refute_0_551,plain,
    ( complement(composition(converse(converse(one)),X_8)) != composition(converse(one),complement(composition(converse(converse(one)),X_8)))
    | composition(converse(one),complement(composition(converse(converse(one)),X_8))) = complement(composition(converse(converse(one)),X_8)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(converse(converse(one)),X_8)))),bind(Y,$fot(composition(converse(one),complement(composition(converse(converse(one)),X_8)))))]]) ).

cnf(refute_0_552,plain,
    composition(converse(one),complement(composition(converse(converse(one)),X_8))) = complement(composition(converse(converse(one)),X_8)),
    inference(resolve,[$cnf( $equal(complement(composition(converse(converse(one)),X_8)),composition(converse(one),complement(composition(converse(converse(one)),X_8)))) )],[refute_0_550,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( composition(converse(one),complement(composition(converse(converse(one)),X_8))) != complement(composition(converse(converse(one)),X_8))
    | join(complement(X_8),composition(converse(one),complement(composition(converse(converse(one)),X_8)))) != complement(X_8)
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = complement(X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),composition(converse(one),complement(composition(converse(converse(one)),X_8)))),complement(X_8)) ),[0,1],$fot(complement(composition(converse(converse(one)),X_8)))]]) ).

cnf(refute_0_554,plain,
    ( join(complement(X_8),composition(converse(one),complement(composition(converse(converse(one)),X_8)))) != complement(X_8)
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = complement(X_8) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),complement(composition(converse(converse(one)),X_8))),complement(composition(converse(converse(one)),X_8))) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = complement(X_8),
    inference(resolve,[$cnf( $equal(join(complement(X_8),composition(converse(one),complement(composition(converse(converse(one)),X_8)))),complement(X_8)) )],[refute_0_549,refute_0_554]) ).

cnf(refute_0_556,plain,
    composition(converse(converse(one)),X_8) = composition(converse(converse(one)),X_8),
    introduced(tautology,[refl,[$fot(composition(converse(converse(one)),X_8))]]) ).

cnf(refute_0_557,plain,
    ( composition(converse(converse(one)),X_8) != composition(converse(converse(one)),X_8)
    | converse(converse(one)) != one
    | composition(converse(converse(one)),X_8) = composition(one,X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),X_8),composition(converse(converse(one)),X_8)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_558,plain,
    ( converse(converse(one)) != one
    | composition(converse(converse(one)),X_8) = composition(one,X_8) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),X_8),composition(converse(converse(one)),X_8)) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    composition(converse(converse(one)),X_8) = composition(one,X_8),
    inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_189,refute_0_558]) ).

cnf(refute_0_560,plain,
    complement(composition(converse(converse(one)),X_8)) = complement(composition(converse(converse(one)),X_8)),
    introduced(tautology,[refl,[$fot(complement(composition(converse(converse(one)),X_8)))]]) ).

cnf(refute_0_561,plain,
    ( complement(composition(converse(converse(one)),X_8)) != complement(composition(converse(converse(one)),X_8))
    | composition(converse(converse(one)),X_8) != composition(one,X_8)
    | complement(composition(converse(converse(one)),X_8)) = complement(composition(one,X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(converse(one)),X_8)),complement(composition(converse(converse(one)),X_8))) ),[1,0],$fot(composition(one,X_8))]]) ).

cnf(refute_0_562,plain,
    ( composition(converse(converse(one)),X_8) != composition(one,X_8)
    | complement(composition(converse(converse(one)),X_8)) = complement(composition(one,X_8)) ),
    inference(resolve,[$cnf( $equal(complement(composition(converse(converse(one)),X_8)),complement(composition(converse(converse(one)),X_8))) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    complement(composition(converse(converse(one)),X_8)) = complement(composition(one,X_8)),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),X_8),composition(one,X_8)) )],[refute_0_559,refute_0_562]) ).

cnf(refute_0_564,plain,
    join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = join(complement(X_8),complement(composition(converse(converse(one)),X_8))),
    introduced(tautology,[refl,[$fot(join(complement(X_8),complement(composition(converse(converse(one)),X_8))))]]) ).

cnf(refute_0_565,plain,
    ( complement(composition(converse(converse(one)),X_8)) != complement(composition(one,X_8))
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) != join(complement(X_8),complement(composition(converse(converse(one)),X_8)))
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = join(complement(X_8),complement(composition(one,X_8))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),complement(composition(converse(converse(one)),X_8))),join(complement(X_8),complement(composition(converse(converse(one)),X_8)))) ),[1,1],$fot(complement(composition(one,X_8)))]]) ).

cnf(refute_0_566,plain,
    ( complement(composition(converse(converse(one)),X_8)) != complement(composition(one,X_8))
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = join(complement(X_8),complement(composition(one,X_8))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(converse(converse(one)),X_8))),join(complement(X_8),complement(composition(converse(converse(one)),X_8)))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    join(complement(X_8),complement(composition(converse(converse(one)),X_8))) = join(complement(X_8),complement(composition(one,X_8))),
    inference(resolve,[$cnf( $equal(complement(composition(converse(converse(one)),X_8)),complement(composition(one,X_8))) )],[refute_0_563,refute_0_566]) ).

cnf(refute_0_568,plain,
    ( join(complement(X_8),complement(composition(converse(converse(one)),X_8))) != complement(X_8)
    | join(complement(X_8),complement(composition(converse(converse(one)),X_8))) != join(complement(X_8),complement(composition(one,X_8)))
    | join(complement(X_8),complement(composition(one,X_8))) = complement(X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),complement(composition(converse(converse(one)),X_8))),complement(X_8)) ),[0],$fot(join(complement(X_8),complement(composition(one,X_8))))]]) ).

cnf(refute_0_569,plain,
    ( join(complement(X_8),complement(composition(converse(converse(one)),X_8))) != complement(X_8)
    | join(complement(X_8),complement(composition(one,X_8))) = complement(X_8) ),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(converse(converse(one)),X_8))),join(complement(X_8),complement(composition(one,X_8)))) )],[refute_0_567,refute_0_568]) ).

cnf(refute_0_570,plain,
    join(complement(X_8),complement(composition(one,X_8))) = complement(X_8),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(converse(converse(one)),X_8))),complement(X_8)) )],[refute_0_555,refute_0_569]) ).

cnf(refute_0_571,plain,
    composition(converse(one),X_68) = composition(converse(one),X_68),
    introduced(tautology,[refl,[$fot(composition(converse(one),X_68))]]) ).

cnf(refute_0_572,plain,
    ( composition(converse(one),X_68) != composition(converse(one),X_68)
    | converse(one) != one
    | composition(converse(one),X_68) = composition(one,X_68) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_68),composition(converse(one),X_68)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_573,plain,
    ( converse(one) != one
    | composition(converse(one),X_68) = composition(one,X_68) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_68),composition(converse(one),X_68)) )],[refute_0_571,refute_0_572]) ).

cnf(refute_0_574,plain,
    composition(converse(one),X_68) = composition(one,X_68),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_213,refute_0_573]) ).

cnf(refute_0_575,plain,
    ( X_68 != composition(converse(one),X_68)
    | composition(converse(one),X_68) != composition(one,X_68)
    | X_68 = composition(one,X_68) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_68,composition(one,X_68)) ),[0],$fot(composition(converse(one),X_68))]]) ).

cnf(refute_0_576,plain,
    ( X_68 != composition(converse(one),X_68)
    | X_68 = composition(one,X_68) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_68),composition(one,X_68)) )],[refute_0_574,refute_0_575]) ).

cnf(refute_0_577,plain,
    X_68 = composition(one,X_68),
    inference(resolve,[$cnf( $equal(X_68,composition(converse(one),X_68)) )],[refute_0_182,refute_0_576]) ).

cnf(refute_0_578,plain,
    ( X_68 != composition(one,X_68)
    | composition(one,X_68) = X_68 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_68)),bind(Y,$fot(composition(one,X_68)))]]) ).

cnf(refute_0_579,plain,
    composition(one,X_68) = X_68,
    inference(resolve,[$cnf( $equal(X_68,composition(one,X_68)) )],[refute_0_577,refute_0_578]) ).

cnf(refute_0_580,plain,
    composition(one,X_8) = X_8,
    inference(subst,[],[refute_0_579:[bind(X_68,$fot(X_8))]]) ).

cnf(refute_0_581,plain,
    complement(composition(one,X_8)) = complement(composition(one,X_8)),
    introduced(tautology,[refl,[$fot(complement(composition(one,X_8)))]]) ).

cnf(refute_0_582,plain,
    ( complement(composition(one,X_8)) != complement(composition(one,X_8))
    | composition(one,X_8) != X_8
    | complement(composition(one,X_8)) = complement(X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_8)),complement(composition(one,X_8))) ),[1,0],$fot(X_8)]]) ).

cnf(refute_0_583,plain,
    ( composition(one,X_8) != X_8
    | complement(composition(one,X_8)) = complement(X_8) ),
    inference(resolve,[$cnf( $equal(complement(composition(one,X_8)),complement(composition(one,X_8))) )],[refute_0_581,refute_0_582]) ).

cnf(refute_0_584,plain,
    complement(composition(one,X_8)) = complement(X_8),
    inference(resolve,[$cnf( $equal(composition(one,X_8),X_8) )],[refute_0_580,refute_0_583]) ).

cnf(refute_0_585,plain,
    join(complement(X_8),complement(composition(one,X_8))) = join(complement(X_8),complement(composition(one,X_8))),
    introduced(tautology,[refl,[$fot(join(complement(X_8),complement(composition(one,X_8))))]]) ).

cnf(refute_0_586,plain,
    ( complement(composition(one,X_8)) != complement(X_8)
    | join(complement(X_8),complement(composition(one,X_8))) != join(complement(X_8),complement(composition(one,X_8)))
    | join(complement(X_8),complement(composition(one,X_8))) = join(complement(X_8),complement(X_8)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),complement(composition(one,X_8))),join(complement(X_8),complement(composition(one,X_8)))) ),[1,1],$fot(complement(X_8))]]) ).

cnf(refute_0_587,plain,
    ( complement(composition(one,X_8)) != complement(X_8)
    | join(complement(X_8),complement(composition(one,X_8))) = join(complement(X_8),complement(X_8)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(one,X_8))),join(complement(X_8),complement(composition(one,X_8)))) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    join(complement(X_8),complement(composition(one,X_8))) = join(complement(X_8),complement(X_8)),
    inference(resolve,[$cnf( $equal(complement(composition(one,X_8)),complement(X_8)) )],[refute_0_584,refute_0_587]) ).

cnf(refute_0_589,plain,
    ( join(complement(X_8),complement(composition(one,X_8))) != complement(X_8)
    | join(complement(X_8),complement(composition(one,X_8))) != join(complement(X_8),complement(X_8))
    | join(complement(X_8),complement(X_8)) = complement(X_8) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_8),complement(composition(one,X_8))),complement(X_8)) ),[0],$fot(join(complement(X_8),complement(X_8)))]]) ).

cnf(refute_0_590,plain,
    ( join(complement(X_8),complement(composition(one,X_8))) != complement(X_8)
    | join(complement(X_8),complement(X_8)) = complement(X_8) ),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(one,X_8))),join(complement(X_8),complement(X_8))) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    join(complement(X_8),complement(X_8)) = complement(X_8),
    inference(resolve,[$cnf( $equal(join(complement(X_8),complement(composition(one,X_8))),complement(X_8)) )],[refute_0_570,refute_0_590]) ).

cnf(refute_0_592,plain,
    join(complement(A),complement(A)) = complement(A),
    inference(subst,[],[refute_0_591:[bind(X_8,$fot(A))]]) ).

cnf(refute_0_593,plain,
    ( A != join(meet(A,complement(A)),complement(join(complement(A),complement(A))))
    | join(complement(A),complement(A)) != complement(A)
    | A = join(meet(A,complement(A)),complement(complement(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,complement(A)),complement(join(complement(A),complement(A))))) ),[1,1,0],$fot(complement(A))]]) ).

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

cnf(refute_0_595,plain,
    A = join(meet(A,complement(A)),complement(complement(A))),
    inference(resolve,[$cnf( $equal(A,join(meet(A,complement(A)),complement(join(complement(A),complement(A))))) )],[refute_0_544,refute_0_594]) ).

cnf(refute_0_596,plain,
    join(complement(complement(A)),zero) = join(zero,complement(complement(A))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(A))))]]) ).

cnf(refute_0_597,plain,
    ( zero != meet(A,complement(A))
    | meet(A,complement(A)) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(A,complement(A))))]]) ).

cnf(refute_0_598,plain,
    meet(A,complement(A)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(A,complement(A))) )],[def_zero_13,refute_0_597]) ).

cnf(refute_0_599,plain,
    join(complement(complement(A)),meet(A,complement(A))) = join(complement(complement(A)),meet(A,complement(A))),
    introduced(tautology,[refl,[$fot(join(complement(complement(A)),meet(A,complement(A))))]]) ).

cnf(refute_0_600,plain,
    ( join(complement(complement(A)),meet(A,complement(A))) != join(complement(complement(A)),meet(A,complement(A)))
    | meet(A,complement(A)) != zero
    | join(complement(complement(A)),meet(A,complement(A))) = join(complement(complement(A)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(A)),meet(A,complement(A))),join(complement(complement(A)),meet(A,complement(A)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_601,plain,
    ( meet(A,complement(A)) != zero
    | join(complement(complement(A)),meet(A,complement(A))) = join(complement(complement(A)),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(A)),meet(A,complement(A))),join(complement(complement(A)),meet(A,complement(A)))) )],[refute_0_599,refute_0_600]) ).

cnf(refute_0_602,plain,
    join(complement(complement(A)),meet(A,complement(A))) = join(complement(complement(A)),zero),
    inference(resolve,[$cnf( $equal(meet(A,complement(A)),zero) )],[refute_0_598,refute_0_601]) ).

cnf(refute_0_603,plain,
    ( join(complement(complement(A)),meet(A,complement(A))) != join(complement(complement(A)),zero)
    | join(complement(complement(A)),zero) != join(zero,complement(complement(A)))
    | join(complement(complement(A)),meet(A,complement(A))) = join(zero,complement(complement(A))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(A)),meet(A,complement(A))))),bind(Y,$fot(join(complement(complement(A)),zero))),bind(Z,$fot(join(zero,complement(complement(A)))))]]) ).

cnf(refute_0_604,plain,
    ( join(complement(complement(A)),zero) != join(zero,complement(complement(A)))
    | join(complement(complement(A)),meet(A,complement(A))) = join(zero,complement(complement(A))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(A)),meet(A,complement(A))),join(complement(complement(A)),zero)) )],[refute_0_602,refute_0_603]) ).

cnf(refute_0_605,plain,
    join(complement(complement(A)),meet(A,complement(A))) = join(zero,complement(complement(A))),
    inference(resolve,[$cnf( $equal(join(complement(complement(A)),zero),join(zero,complement(complement(A)))) )],[refute_0_596,refute_0_604]) ).

cnf(refute_0_606,plain,
    join(meet(A,complement(A)),complement(complement(A))) = join(complement(complement(A)),meet(A,complement(A))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(complement(A)))),bind(B,$fot(meet(A,complement(A))))]]) ).

cnf(refute_0_607,plain,
    ( join(complement(complement(A)),meet(A,complement(A))) != join(zero,complement(complement(A)))
    | join(meet(A,complement(A)),complement(complement(A))) != join(complement(complement(A)),meet(A,complement(A)))
    | join(meet(A,complement(A)),complement(complement(A))) = join(zero,complement(complement(A))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(A,complement(A)),complement(complement(A))))),bind(Y,$fot(join(complement(complement(A)),meet(A,complement(A))))),bind(Z,$fot(join(zero,complement(complement(A)))))]]) ).

cnf(refute_0_608,plain,
    ( join(complement(complement(A)),meet(A,complement(A))) != join(zero,complement(complement(A)))
    | join(meet(A,complement(A)),complement(complement(A))) = join(zero,complement(complement(A))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,complement(A)),complement(complement(A))),join(complement(complement(A)),meet(A,complement(A)))) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    join(meet(A,complement(A)),complement(complement(A))) = join(zero,complement(complement(A))),
    inference(resolve,[$cnf( $equal(join(complement(complement(A)),meet(A,complement(A))),join(zero,complement(complement(A)))) )],[refute_0_605,refute_0_608]) ).

cnf(refute_0_610,plain,
    ( A != join(meet(A,complement(A)),complement(complement(A)))
    | join(meet(A,complement(A)),complement(complement(A))) != join(zero,complement(complement(A)))
    | A = join(zero,complement(complement(A))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,join(zero,complement(complement(A)))) ),[0],$fot(join(meet(A,complement(A)),complement(complement(A))))]]) ).

cnf(refute_0_611,plain,
    ( A != join(meet(A,complement(A)),complement(complement(A)))
    | A = join(zero,complement(complement(A))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,complement(A)),complement(complement(A))),join(zero,complement(complement(A)))) )],[refute_0_609,refute_0_610]) ).

cnf(refute_0_612,plain,
    A = join(zero,complement(complement(A))),
    inference(resolve,[$cnf( $equal(A,join(meet(A,complement(A)),complement(complement(A)))) )],[refute_0_595,refute_0_611]) ).

cnf(refute_0_613,plain,
    ( A != join(zero,complement(complement(A)))
    | join(zero,complement(complement(A))) = A ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(zero,complement(complement(A)))))]]) ).

cnf(refute_0_614,plain,
    join(zero,complement(complement(A))) = A,
    inference(resolve,[$cnf( $equal(A,join(zero,complement(complement(A)))) )],[refute_0_612,refute_0_613]) ).

cnf(refute_0_615,plain,
    ( join(zero,complement(complement(A))) != A
    | join(zero,join(complement(complement(A)),zero)) != join(zero,complement(complement(A)))
    | join(zero,join(complement(complement(A)),zero)) = A ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(A)),zero)),join(zero,complement(complement(A)))) ),[1],$fot(A)]]) ).

cnf(refute_0_616,plain,
    ( join(zero,join(complement(complement(A)),zero)) != join(zero,complement(complement(A)))
    | join(zero,join(complement(complement(A)),zero)) = A ),
    inference(resolve,[$cnf( $equal(join(zero,complement(complement(A))),A) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    join(zero,join(complement(complement(A)),zero)) = A,
    inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(A)),zero)),join(zero,complement(complement(A)))) )],[refute_0_543,refute_0_616]) ).

cnf(refute_0_618,plain,
    join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(join(zero,meet(A,join(zero,complement(complement(A))))),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(meet(A,join(zero,complement(complement(A)))))),bind(C,$fot(X_62))]]) ).

cnf(refute_0_619,plain,
    A = join(meet(A,join(zero,complement(complement(A)))),complement(join(complement(A),join(zero,complement(complement(A)))))),
    inference(subst,[],[refute_0_89:[bind(B,$fot(join(zero,complement(complement(A)))))]]) ).

cnf(refute_0_620,plain,
    top = join(complement(X_34),join(complement(complement(X_34)),meet(X_34,complement(X_34)))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(X_34)),bind(X_5,$fot(complement(X_34)))]]) ).

cnf(refute_0_621,plain,
    zero = meet(X_34,complement(X_34)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(X_34))]]) ).

cnf(refute_0_622,plain,
    ( zero != meet(X_34,complement(X_34))
    | meet(X_34,complement(X_34)) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_34,complement(X_34))))]]) ).

cnf(refute_0_623,plain,
    meet(X_34,complement(X_34)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_34,complement(X_34))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( meet(X_34,complement(X_34)) != zero
    | top != join(complement(X_34),join(complement(complement(X_34)),meet(X_34,complement(X_34))))
    | top = join(complement(X_34),join(complement(complement(X_34)),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),join(complement(complement(X_34)),meet(X_34,complement(X_34))))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_625,plain,
    ( top != join(complement(X_34),join(complement(complement(X_34)),meet(X_34,complement(X_34))))
    | top = join(complement(X_34),join(complement(complement(X_34)),zero)) ),
    inference(resolve,[$cnf( $equal(meet(X_34,complement(X_34)),zero) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    top = join(complement(X_34),join(complement(complement(X_34)),zero)),
    inference(resolve,[$cnf( $equal(top,join(complement(X_34),join(complement(complement(X_34)),meet(X_34,complement(X_34))))) )],[refute_0_620,refute_0_625]) ).

cnf(refute_0_627,plain,
    join(complement(complement(X_34)),zero) = join(zero,complement(complement(X_34))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_34))))]]) ).

cnf(refute_0_628,plain,
    join(complement(X_34),join(complement(complement(X_34)),zero)) = join(complement(X_34),join(complement(complement(X_34)),zero)),
    introduced(tautology,[refl,[$fot(join(complement(X_34),join(complement(complement(X_34)),zero)))]]) ).

cnf(refute_0_629,plain,
    ( join(complement(X_34),join(complement(complement(X_34)),zero)) != join(complement(X_34),join(complement(complement(X_34)),zero))
    | join(complement(complement(X_34)),zero) != join(zero,complement(complement(X_34)))
    | join(complement(X_34),join(complement(complement(X_34)),zero)) = join(complement(X_34),join(zero,complement(complement(X_34)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),join(complement(complement(X_34)),zero)),join(complement(X_34),join(complement(complement(X_34)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_34))))]]) ).

cnf(refute_0_630,plain,
    ( join(complement(complement(X_34)),zero) != join(zero,complement(complement(X_34)))
    | join(complement(X_34),join(complement(complement(X_34)),zero)) = join(complement(X_34),join(zero,complement(complement(X_34)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_34),join(complement(complement(X_34)),zero)),join(complement(X_34),join(complement(complement(X_34)),zero))) )],[refute_0_628,refute_0_629]) ).

cnf(refute_0_631,plain,
    join(complement(X_34),join(complement(complement(X_34)),zero)) = join(complement(X_34),join(zero,complement(complement(X_34)))),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_34)),zero),join(zero,complement(complement(X_34)))) )],[refute_0_627,refute_0_630]) ).

cnf(refute_0_632,plain,
    ( join(complement(X_34),join(complement(complement(X_34)),zero)) != join(complement(X_34),join(zero,complement(complement(X_34))))
    | top != join(complement(X_34),join(complement(complement(X_34)),zero))
    | top = join(complement(X_34),join(zero,complement(complement(X_34)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),join(complement(complement(X_34)),zero))) ),[1],$fot(join(complement(X_34),join(zero,complement(complement(X_34)))))]]) ).

cnf(refute_0_633,plain,
    ( top != join(complement(X_34),join(complement(complement(X_34)),zero))
    | top = join(complement(X_34),join(zero,complement(complement(X_34)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_34),join(complement(complement(X_34)),zero)),join(complement(X_34),join(zero,complement(complement(X_34))))) )],[refute_0_631,refute_0_632]) ).

cnf(refute_0_634,plain,
    top = join(complement(X_34),join(zero,complement(complement(X_34)))),
    inference(resolve,[$cnf( $equal(top,join(complement(X_34),join(complement(complement(X_34)),zero))) )],[refute_0_626,refute_0_633]) ).

cnf(refute_0_635,plain,
    top = join(complement(A),join(zero,complement(complement(A)))),
    inference(subst,[],[refute_0_634:[bind(X_34,$fot(A))]]) ).

cnf(refute_0_636,plain,
    ( top != join(complement(A),join(zero,complement(complement(A))))
    | join(complement(A),join(zero,complement(complement(A)))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(A),join(zero,complement(complement(A))))))]]) ).

cnf(refute_0_637,plain,
    join(complement(A),join(zero,complement(complement(A)))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(A),join(zero,complement(complement(A))))) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    ( A != join(meet(A,join(zero,complement(complement(A)))),complement(join(complement(A),join(zero,complement(complement(A))))))
    | join(complement(A),join(zero,complement(complement(A)))) != top
    | A = join(meet(A,join(zero,complement(complement(A)))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,join(zero,complement(complement(A)))),complement(join(complement(A),join(zero,complement(complement(A))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_639,plain,
    ( A != join(meet(A,join(zero,complement(complement(A)))),complement(join(complement(A),join(zero,complement(complement(A))))))
    | A = join(meet(A,join(zero,complement(complement(A)))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(A),join(zero,complement(complement(A)))),top) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    A = join(meet(A,join(zero,complement(complement(A)))),complement(top)),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(zero,complement(complement(A)))),complement(join(complement(A),join(zero,complement(complement(A))))))) )],[refute_0_619,refute_0_639]) ).

cnf(refute_0_641,plain,
    join(complement(top),meet(A,join(zero,complement(complement(A))))) = join(complement(top),meet(A,join(zero,complement(complement(A))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(A,join(zero,complement(complement(A))))))]]) ).

cnf(refute_0_642,plain,
    ( complement(top) != zero
    | join(complement(top),meet(A,join(zero,complement(complement(A))))) != join(complement(top),meet(A,join(zero,complement(complement(A)))))
    | join(complement(top),meet(A,join(zero,complement(complement(A))))) = join(zero,meet(A,join(zero,complement(complement(A))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(A,join(zero,complement(complement(A))))),join(complement(top),meet(A,join(zero,complement(complement(A)))))) ),[1,0],$fot(zero)]]) ).

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

cnf(refute_0_644,plain,
    join(complement(top),meet(A,join(zero,complement(complement(A))))) = join(zero,meet(A,join(zero,complement(complement(A))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_643]) ).

cnf(refute_0_645,plain,
    join(meet(A,join(zero,complement(complement(A)))),complement(top)) = join(complement(top),meet(A,join(zero,complement(complement(A))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(A,join(zero,complement(complement(A))))))]]) ).

cnf(refute_0_646,plain,
    ( join(complement(top),meet(A,join(zero,complement(complement(A))))) != join(zero,meet(A,join(zero,complement(complement(A)))))
    | join(meet(A,join(zero,complement(complement(A)))),complement(top)) != join(complement(top),meet(A,join(zero,complement(complement(A)))))
    | join(meet(A,join(zero,complement(complement(A)))),complement(top)) = join(zero,meet(A,join(zero,complement(complement(A))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(A,join(zero,complement(complement(A)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(A,join(zero,complement(complement(A))))))),bind(Z,$fot(join(zero,meet(A,join(zero,complement(complement(A)))))))]]) ).

cnf(refute_0_647,plain,
    ( join(complement(top),meet(A,join(zero,complement(complement(A))))) != join(zero,meet(A,join(zero,complement(complement(A)))))
    | join(meet(A,join(zero,complement(complement(A)))),complement(top)) = join(zero,meet(A,join(zero,complement(complement(A))))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(zero,complement(complement(A)))),complement(top)),join(complement(top),meet(A,join(zero,complement(complement(A)))))) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    join(meet(A,join(zero,complement(complement(A)))),complement(top)) = join(zero,meet(A,join(zero,complement(complement(A))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(zero,complement(complement(A))))),join(zero,meet(A,join(zero,complement(complement(A)))))) )],[refute_0_644,refute_0_647]) ).

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

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

cnf(refute_0_651,plain,
    A = join(zero,meet(A,join(zero,complement(complement(A))))),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(zero,complement(complement(A)))),complement(top))) )],[refute_0_640,refute_0_650]) ).

cnf(refute_0_652,plain,
    ( A != join(zero,meet(A,join(zero,complement(complement(A)))))
    | join(zero,meet(A,join(zero,complement(complement(A))))) = A ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(zero,meet(A,join(zero,complement(complement(A)))))))]]) ).

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

cnf(refute_0_654,plain,
    ( join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(join(zero,meet(A,join(zero,complement(complement(A))))),X_62)
    | join(zero,meet(A,join(zero,complement(complement(A))))) != A
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(A,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(join(zero,meet(A,join(zero,complement(complement(A))))),X_62)) ),[1,0],$fot(A)]]) ).

cnf(refute_0_655,plain,
    ( join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(join(zero,meet(A,join(zero,complement(complement(A))))),X_62)
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(A,X_62) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(A,join(zero,complement(complement(A))))),A) )],[refute_0_653,refute_0_654]) ).

cnf(refute_0_656,plain,
    join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(A,X_62),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(join(zero,meet(A,join(zero,complement(complement(A))))),X_62)) )],[refute_0_618,refute_0_655]) ).

cnf(refute_0_657,plain,
    meet(B,B) = complement(join(complement(B),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(B))]]) ).

cnf(refute_0_658,plain,
    join(complement(B),complement(B)) = complement(B),
    inference(subst,[],[refute_0_591:[bind(X_8,$fot(B))]]) ).

cnf(refute_0_659,plain,
    ( join(complement(B),complement(B)) != complement(B)
    | meet(B,B) != complement(join(complement(B),complement(B)))
    | meet(B,B) = complement(complement(B)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) ),[1,0],$fot(complement(B))]]) ).

cnf(refute_0_660,plain,
    ( meet(B,B) != complement(join(complement(B),complement(B)))
    | meet(B,B) = complement(complement(B)) ),
    inference(resolve,[$cnf( $equal(join(complement(B),complement(B)),complement(B)) )],[refute_0_658,refute_0_659]) ).

cnf(refute_0_661,plain,
    meet(B,B) = complement(complement(B)),
    inference(resolve,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) )],[refute_0_657,refute_0_660]) ).

cnf(refute_0_662,plain,
    meet(A,A) = complement(complement(A)),
    inference(subst,[],[refute_0_661:[bind(B,$fot(A))]]) ).

cnf(refute_0_663,plain,
    meet(A,join(zero,complement(complement(A)))) = meet(A,join(zero,complement(complement(A)))),
    introduced(tautology,[refl,[$fot(meet(A,join(zero,complement(complement(A)))))]]) ).

cnf(refute_0_664,plain,
    ( join(zero,complement(complement(A))) != A
    | meet(A,join(zero,complement(complement(A)))) != meet(A,join(zero,complement(complement(A))))
    | meet(A,join(zero,complement(complement(A)))) = meet(A,A) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(complement(A)))),meet(A,join(zero,complement(complement(A))))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_665,plain,
    ( join(zero,complement(complement(A))) != A
    | meet(A,join(zero,complement(complement(A)))) = meet(A,A) ),
    inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(complement(A)))),meet(A,join(zero,complement(complement(A))))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    meet(A,join(zero,complement(complement(A)))) = meet(A,A),
    inference(resolve,[$cnf( $equal(join(zero,complement(complement(A))),A) )],[refute_0_614,refute_0_665]) ).

cnf(refute_0_667,plain,
    ( meet(A,A) != complement(complement(A))
    | meet(A,join(zero,complement(complement(A)))) != meet(A,A)
    | meet(A,join(zero,complement(complement(A)))) = complement(complement(A)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(A,join(zero,complement(complement(A)))))),bind(Y,$fot(meet(A,A))),bind(Z,$fot(complement(complement(A))))]]) ).

cnf(refute_0_668,plain,
    ( meet(A,A) != complement(complement(A))
    | meet(A,join(zero,complement(complement(A)))) = complement(complement(A)) ),
    inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(complement(A)))),meet(A,A)) )],[refute_0_666,refute_0_667]) ).

cnf(refute_0_669,plain,
    meet(A,join(zero,complement(complement(A)))) = complement(complement(A)),
    inference(resolve,[$cnf( $equal(meet(A,A),complement(complement(A))) )],[refute_0_662,refute_0_668]) ).

cnf(refute_0_670,plain,
    join(meet(A,join(zero,complement(complement(A)))),X_62) = join(meet(A,join(zero,complement(complement(A)))),X_62),
    introduced(tautology,[refl,[$fot(join(meet(A,join(zero,complement(complement(A)))),X_62))]]) ).

cnf(refute_0_671,plain,
    ( join(meet(A,join(zero,complement(complement(A)))),X_62) != join(meet(A,join(zero,complement(complement(A)))),X_62)
    | meet(A,join(zero,complement(complement(A)))) != complement(complement(A))
    | join(meet(A,join(zero,complement(complement(A)))),X_62) = join(complement(complement(A)),X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(A,join(zero,complement(complement(A)))),X_62),join(meet(A,join(zero,complement(complement(A)))),X_62)) ),[1,0],$fot(complement(complement(A)))]]) ).

cnf(refute_0_672,plain,
    ( meet(A,join(zero,complement(complement(A)))) != complement(complement(A))
    | join(meet(A,join(zero,complement(complement(A)))),X_62) = join(complement(complement(A)),X_62) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(zero,complement(complement(A)))),X_62),join(meet(A,join(zero,complement(complement(A)))),X_62)) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    join(meet(A,join(zero,complement(complement(A)))),X_62) = join(complement(complement(A)),X_62),
    inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(complement(A)))),complement(complement(A))) )],[refute_0_669,refute_0_672]) ).

cnf(refute_0_674,plain,
    join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)))]]) ).

cnf(refute_0_675,plain,
    ( join(meet(A,join(zero,complement(complement(A)))),X_62) != join(complement(complement(A)),X_62)
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62))
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(zero,join(complement(complement(A)),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62))) ),[1,1],$fot(join(complement(complement(A)),X_62))]]) ).

cnf(refute_0_676,plain,
    ( join(meet(A,join(zero,complement(complement(A)))),X_62) != join(complement(complement(A)),X_62)
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(zero,join(complement(complement(A)),X_62)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62))) )],[refute_0_674,refute_0_675]) ).

cnf(refute_0_677,plain,
    join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) = join(zero,join(complement(complement(A)),X_62)),
    inference(resolve,[$cnf( $equal(join(meet(A,join(zero,complement(complement(A)))),X_62),join(complement(complement(A)),X_62)) )],[refute_0_673,refute_0_676]) ).

cnf(refute_0_678,plain,
    ( join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(A,X_62)
    | join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(zero,join(complement(complement(A)),X_62))
    | join(zero,join(complement(complement(A)),X_62)) = join(A,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(A,X_62)) ),[0],$fot(join(zero,join(complement(complement(A)),X_62)))]]) ).

cnf(refute_0_679,plain,
    ( join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)) != join(A,X_62)
    | join(zero,join(complement(complement(A)),X_62)) = join(A,X_62) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(zero,join(complement(complement(A)),X_62))) )],[refute_0_677,refute_0_678]) ).

cnf(refute_0_680,plain,
    join(zero,join(complement(complement(A)),X_62)) = join(A,X_62),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(A,join(zero,complement(complement(A)))),X_62)),join(A,X_62)) )],[refute_0_656,refute_0_679]) ).

cnf(refute_0_681,plain,
    join(zero,join(complement(complement(A)),zero)) = join(A,zero),
    inference(subst,[],[refute_0_680:[bind(X_62,$fot(zero))]]) ).

cnf(refute_0_682,plain,
    ( join(zero,join(complement(complement(A)),zero)) != A
    | join(zero,join(complement(complement(A)),zero)) != join(A,zero)
    | join(A,zero) = A ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(A)),zero)),A) ),[0],$fot(join(A,zero))]]) ).

cnf(refute_0_683,plain,
    ( join(zero,join(complement(complement(A)),zero)) != A
    | join(A,zero) = A ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(A)),zero)),join(A,zero)) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    join(A,zero) = A,
    inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(A)),zero)),A) )],[refute_0_617,refute_0_683]) ).

cnf(refute_0_685,plain,
    join(B,zero) = B,
    inference(subst,[],[refute_0_684:[bind(A,$fot(B))]]) ).

cnf(refute_0_686,plain,
    ( join(B,zero) != B
    | join(zero,B) != join(B,zero)
    | join(zero,B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,B),join(B,zero)) ),[1],$fot(B)]]) ).

cnf(refute_0_687,plain,
    ( join(zero,B) != join(B,zero)
    | join(zero,B) = B ),
    inference(resolve,[$cnf( $equal(join(B,zero),B) )],[refute_0_685,refute_0_686]) ).

cnf(refute_0_688,plain,
    join(zero,B) = B,
    inference(resolve,[$cnf( $equal(join(zero,B),join(B,zero)) )],[refute_0_323,refute_0_687]) ).

cnf(refute_0_689,plain,
    join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).

cnf(refute_0_690,plain,
    ( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
    | join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(complement(A),complement(B)) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),[0],$fot(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).

cnf(refute_0_691,plain,
    ( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
    | join(complement(A),complement(B)) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    join(complement(A),complement(B)) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
    inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_322,refute_0_691]) ).

cnf(refute_0_693,plain,
    join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) = complement(join(complement(A),complement(B))),
    inference(subst,[],[refute_0_591:[bind(X_8,$fot(join(complement(A),complement(B))))]]) ).

cnf(refute_0_694,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) != complement(join(complement(A),complement(B)))
    | join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))),complement(join(complement(A),complement(B)))) ),[0,1],$fot(meet(A,B))]]) ).

cnf(refute_0_695,plain,
    ( join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) != complement(join(complement(A),complement(B)))
    | join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_79,refute_0_694]) ).

cnf(refute_0_696,plain,
    join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))),complement(join(complement(A),complement(B)))) )],[refute_0_693,refute_0_695]) ).

cnf(refute_0_697,plain,
    join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),complement(B)))),
    introduced(tautology,[refl,[$fot(join(meet(A,B),complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_698,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),complement(B))))
    | join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),complement(B))))) ),[1,1],$fot(meet(A,B))]]) ).

cnf(refute_0_699,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)) ),
    inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),complement(B))))) )],[refute_0_697,refute_0_698]) ).

cnf(refute_0_700,plain,
    join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_79,refute_0_699]) ).

cnf(refute_0_701,plain,
    join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),complement(join(complement(A),complement(B)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_702,plain,
    ( join(complement(join(complement(A),complement(B))),meet(A,B)) != join(meet(A,B),complement(join(complement(A),complement(B))))
    | join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),meet(A,B))
    | join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(complement(A),complement(B))),meet(A,B)))),bind(Y,$fot(join(meet(A,B),complement(join(complement(A),complement(B)))))),bind(Z,$fot(join(meet(A,B),meet(A,B))))]]) ).

cnf(refute_0_703,plain,
    ( join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),meet(A,B))
    | join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),join(meet(A,B),complement(join(complement(A),complement(B))))) )],[refute_0_701,refute_0_702]) ).

cnf(refute_0_704,plain,
    join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)),
    inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),meet(A,B))) )],[refute_0_700,refute_0_703]) ).

cnf(refute_0_705,plain,
    ( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
    | join(complement(join(complement(A),complement(B))),meet(A,B)) != join(meet(A,B),meet(A,B))
    | join(meet(A,B),meet(A,B)) = complement(join(complement(A),complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),complement(join(complement(A),complement(B)))) ),[0],$fot(join(meet(A,B),meet(A,B)))]]) ).

cnf(refute_0_706,plain,
    ( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
    | join(meet(A,B),meet(A,B)) = complement(join(complement(A),complement(B))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),join(meet(A,B),meet(A,B))) )],[refute_0_704,refute_0_705]) ).

cnf(refute_0_707,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(meet(A,B),meet(A,B)) != complement(join(complement(A),complement(B)))
    | join(meet(A,B),meet(A,B)) = meet(A,B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),meet(A,B)),complement(join(complement(A),complement(B)))) ),[1],$fot(meet(A,B))]]) ).

cnf(refute_0_708,plain,
    ( join(meet(A,B),meet(A,B)) != complement(join(complement(A),complement(B)))
    | join(meet(A,B),meet(A,B)) = meet(A,B) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_79,refute_0_707]) ).

cnf(refute_0_709,plain,
    ( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
    | join(meet(A,B),meet(A,B)) = meet(A,B) ),
    inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,B)),complement(join(complement(A),complement(B)))) )],[refute_0_706,refute_0_708]) ).

cnf(refute_0_710,plain,
    join(meet(A,B),meet(A,B)) = meet(A,B),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),complement(join(complement(A),complement(B)))) )],[refute_0_696,refute_0_709]) ).

cnf(refute_0_711,plain,
    meet(top,X_54) = join(meet(meet(top,X_54),join(zero,complement(X_54))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(meet(top,X_54))),bind(B,$fot(join(zero,complement(X_54))))]]) ).

cnf(refute_0_712,plain,
    zero = meet(join(zero,complement(X_28)),complement(join(zero,complement(X_28)))),
    inference(subst,[],[def_zero_13:[bind(A,$fot(join(zero,complement(X_28))))]]) ).

cnf(refute_0_713,plain,
    meet(top,X_28) = complement(join(zero,complement(X_28))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(X_28))]]) ).

cnf(refute_0_714,plain,
    ( meet(top,X_28) != complement(join(zero,complement(X_28)))
    | complement(join(zero,complement(X_28))) = meet(top,X_28) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_28))),bind(Y,$fot(complement(join(zero,complement(X_28)))))]]) ).

cnf(refute_0_715,plain,
    complement(join(zero,complement(X_28))) = meet(top,X_28),
    inference(resolve,[$cnf( $equal(meet(top,X_28),complement(join(zero,complement(X_28)))) )],[refute_0_713,refute_0_714]) ).

cnf(refute_0_716,plain,
    ( complement(join(zero,complement(X_28))) != meet(top,X_28)
    | zero != meet(join(zero,complement(X_28)),complement(join(zero,complement(X_28))))
    | zero = meet(join(zero,complement(X_28)),meet(top,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_28)),complement(join(zero,complement(X_28))))) ),[1,1],$fot(meet(top,X_28))]]) ).

cnf(refute_0_717,plain,
    ( zero != meet(join(zero,complement(X_28)),complement(join(zero,complement(X_28))))
    | zero = meet(join(zero,complement(X_28)),meet(top,X_28)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_28))),meet(top,X_28)) )],[refute_0_715,refute_0_716]) ).

cnf(refute_0_718,plain,
    zero = meet(join(zero,complement(X_28)),meet(top,X_28)),
    inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_28)),complement(join(zero,complement(X_28))))) )],[refute_0_712,refute_0_717]) ).

cnf(refute_0_719,plain,
    meet(join(zero,complement(X_28)),meet(top,X_28)) = meet(meet(top,X_28),join(zero,complement(X_28))),
    inference(subst,[],[refute_0_308:[bind(A,$fot(meet(top,X_28))),bind(B,$fot(join(zero,complement(X_28))))]]) ).

cnf(refute_0_720,plain,
    ( meet(join(zero,complement(X_28)),meet(top,X_28)) != meet(meet(top,X_28),join(zero,complement(X_28)))
    | zero != meet(join(zero,complement(X_28)),meet(top,X_28))
    | zero = meet(meet(top,X_28),join(zero,complement(X_28))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_28)),meet(top,X_28))) ),[1],$fot(meet(meet(top,X_28),join(zero,complement(X_28))))]]) ).

cnf(refute_0_721,plain,
    ( zero != meet(join(zero,complement(X_28)),meet(top,X_28))
    | zero = meet(meet(top,X_28),join(zero,complement(X_28))) ),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_28)),meet(top,X_28)),meet(meet(top,X_28),join(zero,complement(X_28)))) )],[refute_0_719,refute_0_720]) ).

cnf(refute_0_722,plain,
    zero = meet(meet(top,X_28),join(zero,complement(X_28))),
    inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_28)),meet(top,X_28))) )],[refute_0_718,refute_0_721]) ).

cnf(refute_0_723,plain,
    zero = meet(meet(top,X_54),join(zero,complement(X_54))),
    inference(subst,[],[refute_0_722:[bind(X_28,$fot(X_54))]]) ).

cnf(refute_0_724,plain,
    ( zero != meet(meet(top,X_54),join(zero,complement(X_54)))
    | meet(meet(top,X_54),join(zero,complement(X_54))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_54),join(zero,complement(X_54)))))]]) ).

cnf(refute_0_725,plain,
    meet(meet(top,X_54),join(zero,complement(X_54))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_54),join(zero,complement(X_54)))) )],[refute_0_723,refute_0_724]) ).

cnf(refute_0_726,plain,
    ( meet(meet(top,X_54),join(zero,complement(X_54))) != zero
    | meet(top,X_54) != join(meet(meet(top,X_54),join(zero,complement(X_54))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))
    | meet(top,X_54) = join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,X_54),join(meet(meet(top,X_54),join(zero,complement(X_54))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_727,plain,
    ( meet(top,X_54) != join(meet(meet(top,X_54),join(zero,complement(X_54))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))
    | meet(top,X_54) = join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(top,X_54),join(zero,complement(X_54))),zero) )],[refute_0_725,refute_0_726]) ).

cnf(refute_0_728,plain,
    meet(top,X_54) = join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),
    inference(resolve,[$cnf( $equal(meet(top,X_54),join(meet(meet(top,X_54),join(zero,complement(X_54))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) )],[refute_0_711,refute_0_727]) ).

cnf(refute_0_729,plain,
    join(zero,join(complement(meet(top,X_54)),complement(X_54))) = join(zero,join(complement(X_54),complement(meet(top,X_54)))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(zero)),bind(X_61,$fot(complement(meet(top,X_54)))),bind(X_62,$fot(complement(X_54)))]]) ).

cnf(refute_0_730,plain,
    join(X_61,X_60) = join(X_60,X_61),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_61)),bind(B,$fot(X_60))]]) ).

cnf(refute_0_731,plain,
    ( join(X_61,X_60) != join(X_60,X_61)
    | join(X_60,X_61) = join(X_61,X_60) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_61,X_60))),bind(Y,$fot(join(X_60,X_61)))]]) ).

cnf(refute_0_732,plain,
    join(X_60,X_61) = join(X_61,X_60),
    inference(resolve,[$cnf( $equal(join(X_61,X_60),join(X_60,X_61)) )],[refute_0_730,refute_0_731]) ).

cnf(refute_0_733,plain,
    ( join(X_60,X_61) != join(X_61,X_60)
    | join(X_60,join(X_61,X_62)) != join(join(X_60,X_61),X_62)
    | join(X_60,join(X_61,X_62)) = join(join(X_61,X_60),X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(join(X_60,X_61),X_62)) ),[1,0],$fot(join(X_61,X_60))]]) ).

cnf(refute_0_734,plain,
    ( join(X_60,join(X_61,X_62)) != join(join(X_60,X_61),X_62)
    | join(X_60,join(X_61,X_62)) = join(join(X_61,X_60),X_62) ),
    inference(resolve,[$cnf( $equal(join(X_60,X_61),join(X_61,X_60)) )],[refute_0_732,refute_0_733]) ).

cnf(refute_0_735,plain,
    join(X_60,join(X_61,X_62)) = join(join(X_61,X_60),X_62),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(join(X_60,X_61),X_62)) )],[refute_0_429,refute_0_734]) ).

cnf(refute_0_736,plain,
    join(join(X_61,X_60),X_62) = join(X_61,join(X_60,X_62)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_61)),bind(B,$fot(X_60)),bind(C,$fot(X_62))]]) ).

cnf(refute_0_737,plain,
    ( join(X_60,join(X_61,X_62)) != join(join(X_61,X_60),X_62)
    | join(join(X_61,X_60),X_62) != join(X_61,join(X_60,X_62))
    | join(X_60,join(X_61,X_62)) = join(X_61,join(X_60,X_62)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,join(X_61,X_62)),join(X_61,join(X_60,X_62))) ),[0],$fot(join(join(X_61,X_60),X_62))]]) ).

cnf(refute_0_738,plain,
    ( join(X_60,join(X_61,X_62)) != join(join(X_61,X_60),X_62)
    | join(X_60,join(X_61,X_62)) = join(X_61,join(X_60,X_62)) ),
    inference(resolve,[$cnf( $equal(join(join(X_61,X_60),X_62),join(X_61,join(X_60,X_62))) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    join(X_60,join(X_61,X_62)) = join(X_61,join(X_60,X_62)),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(join(X_61,X_60),X_62)) )],[refute_0_735,refute_0_738]) ).

cnf(refute_0_740,plain,
    ( join(X_60,join(X_61,X_62)) != join(X_61,join(X_60,X_62))
    | join(X_61,join(X_60,X_62)) = join(X_60,join(X_61,X_62)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,join(X_61,X_62)))),bind(Y,$fot(join(X_61,join(X_60,X_62))))]]) ).

cnf(refute_0_741,plain,
    join(X_61,join(X_60,X_62)) = join(X_60,join(X_61,X_62)),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,X_62)),join(X_61,join(X_60,X_62))) )],[refute_0_739,refute_0_740]) ).

cnf(refute_0_742,plain,
    join(complement(meet(top,X_54)),join(zero,complement(X_54))) = join(zero,join(complement(meet(top,X_54)),complement(X_54))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(zero)),bind(X_61,$fot(complement(meet(top,X_54)))),bind(X_62,$fot(complement(X_54)))]]) ).

cnf(refute_0_743,plain,
    ( join(complement(meet(top,X_54)),join(zero,complement(X_54))) != join(zero,join(complement(meet(top,X_54)),complement(X_54)))
    | join(zero,join(complement(meet(top,X_54)),complement(X_54))) != join(zero,join(complement(X_54),complement(meet(top,X_54))))
    | join(complement(meet(top,X_54)),join(zero,complement(X_54))) = join(zero,join(complement(X_54),complement(meet(top,X_54)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),bind(Y,$fot(join(zero,join(complement(meet(top,X_54)),complement(X_54))))),bind(Z,$fot(join(zero,join(complement(X_54),complement(meet(top,X_54))))))]]) ).

cnf(refute_0_744,plain,
    ( join(zero,join(complement(meet(top,X_54)),complement(X_54))) != join(zero,join(complement(X_54),complement(meet(top,X_54))))
    | join(complement(meet(top,X_54)),join(zero,complement(X_54))) = join(zero,join(complement(X_54),complement(meet(top,X_54)))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(top,X_54)),join(zero,complement(X_54))),join(zero,join(complement(meet(top,X_54)),complement(X_54)))) )],[refute_0_742,refute_0_743]) ).

cnf(refute_0_745,plain,
    join(complement(meet(top,X_54)),join(zero,complement(X_54))) = join(zero,join(complement(X_54),complement(meet(top,X_54)))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(top,X_54)),complement(X_54))),join(zero,join(complement(X_54),complement(meet(top,X_54))))) )],[refute_0_729,refute_0_744]) ).

cnf(refute_0_746,plain,
    complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) = complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))),
    introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))]]) ).

cnf(refute_0_747,plain,
    ( complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) != complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))
    | join(complement(meet(top,X_54)),join(zero,complement(X_54))) != join(zero,join(complement(X_54),complement(meet(top,X_54))))
    | complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) = complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) ),[1,0],$fot(join(zero,join(complement(X_54),complement(meet(top,X_54)))))]]) ).

cnf(refute_0_748,plain,
    ( join(complement(meet(top,X_54)),join(zero,complement(X_54))) != join(zero,join(complement(X_54),complement(meet(top,X_54))))
    | complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) = complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))),complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) )],[refute_0_746,refute_0_747]) ).

cnf(refute_0_749,plain,
    complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) = complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(top,X_54)),join(zero,complement(X_54))),join(zero,join(complement(X_54),complement(meet(top,X_54))))) )],[refute_0_745,refute_0_748]) ).

cnf(refute_0_750,plain,
    join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) = join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))))]]) ).

cnf(refute_0_751,plain,
    ( complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) != complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))
    | join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) != join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))
    | join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))]]) ).

cnf(refute_0_752,plain,
    ( complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))) != complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))
    | join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) )],[refute_0_750,refute_0_751]) ).

cnf(refute_0_753,plain,
    join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))),complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) )],[refute_0_749,refute_0_752]) ).

cnf(refute_0_754,plain,
    ( join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | meet(top,X_54) != join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))
    | meet(top,X_54) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,X_54),join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))))]]) ).

cnf(refute_0_755,plain,
    ( meet(top,X_54) != join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))
    | meet(top,X_54) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54))))),join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))) )],[refute_0_753,refute_0_754]) ).

cnf(refute_0_756,plain,
    meet(top,X_54) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))),
    inference(resolve,[$cnf( $equal(meet(top,X_54),join(zero,complement(join(complement(meet(top,X_54)),join(zero,complement(X_54)))))) )],[refute_0_728,refute_0_755]) ).

cnf(refute_0_757,plain,
    join(zero,complement(B)) = complement(B),
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(B)))]]) ).

cnf(refute_0_758,plain,
    complement(join(zero,complement(B))) = complement(join(zero,complement(B))),
    introduced(tautology,[refl,[$fot(complement(join(zero,complement(B))))]]) ).

cnf(refute_0_759,plain,
    ( complement(join(zero,complement(B))) != complement(join(zero,complement(B)))
    | join(zero,complement(B)) != complement(B)
    | complement(join(zero,complement(B))) = complement(complement(B)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) ),[1,0],$fot(complement(B))]]) ).

cnf(refute_0_760,plain,
    ( join(zero,complement(B)) != complement(B)
    | complement(join(zero,complement(B))) = complement(complement(B)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) )],[refute_0_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    complement(join(zero,complement(B))) = complement(complement(B)),
    inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_757,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( complement(join(zero,complement(B))) != complement(complement(B))
    | meet(top,B) != complement(join(zero,complement(B)))
    | meet(top,B) = complement(complement(B)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) ),[1],$fot(complement(complement(B)))]]) ).

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

cnf(refute_0_764,plain,
    meet(top,B) = complement(complement(B)),
    inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_335,refute_0_763]) ).

cnf(refute_0_765,plain,
    meet(top,X_54) = complement(complement(X_54)),
    inference(subst,[],[refute_0_764:[bind(B,$fot(X_54))]]) ).

cnf(refute_0_766,plain,
    ( meet(top,X_54) != complement(complement(X_54))
    | meet(top,X_54) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | complement(complement(X_54)) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,X_54),join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))) ),[0],$fot(complement(complement(X_54)))]]) ).

cnf(refute_0_767,plain,
    ( meet(top,X_54) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | complement(complement(X_54)) = join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),
    inference(resolve,[$cnf( $equal(meet(top,X_54),complement(complement(X_54))) )],[refute_0_765,refute_0_766]) ).

cnf(refute_0_768,plain,
    join(zero,meet(X_15,complement(complement(X_15)))) = meet(X_15,complement(complement(X_15))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(X_15,complement(complement(X_15)))))]]) ).

cnf(refute_0_769,plain,
    ( X_15 != join(zero,meet(X_15,complement(complement(X_15))))
    | join(zero,meet(X_15,complement(complement(X_15)))) != meet(X_15,complement(complement(X_15)))
    | X_15 = meet(X_15,complement(complement(X_15))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_15,meet(X_15,complement(complement(X_15)))) ),[0],$fot(join(zero,meet(X_15,complement(complement(X_15)))))]]) ).

cnf(refute_0_770,plain,
    ( X_15 != join(zero,meet(X_15,complement(complement(X_15))))
    | X_15 = meet(X_15,complement(complement(X_15))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_15,complement(complement(X_15)))),meet(X_15,complement(complement(X_15)))) )],[refute_0_768,refute_0_769]) ).

cnf(refute_0_771,plain,
    X_15 = meet(X_15,complement(complement(X_15))),
    inference(resolve,[$cnf( $equal(X_15,join(zero,meet(X_15,complement(complement(X_15))))) )],[refute_0_284,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( X_15 != meet(X_15,complement(complement(X_15)))
    | meet(X_15,complement(complement(X_15))) = X_15 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_15)),bind(Y,$fot(meet(X_15,complement(complement(X_15)))))]]) ).

cnf(refute_0_773,plain,
    meet(X_15,complement(complement(X_15))) = X_15,
    inference(resolve,[$cnf( $equal(X_15,meet(X_15,complement(complement(X_15)))) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    meet(X_54,complement(complement(X_54))) = X_54,
    inference(subst,[],[refute_0_773:[bind(X_15,$fot(X_54))]]) ).

cnf(refute_0_775,plain,
    complement(join(complement(X_54),complement(complement(complement(X_54))))) = meet(X_54,complement(complement(X_54))),
    inference(subst,[],[refute_0_79:[bind(A,$fot(X_54)),bind(B,$fot(complement(complement(X_54))))]]) ).

cnf(refute_0_776,plain,
    ( complement(join(complement(X_54),complement(complement(complement(X_54))))) != meet(X_54,complement(complement(X_54)))
    | meet(X_54,complement(complement(X_54))) != X_54
    | complement(join(complement(X_54),complement(complement(complement(X_54))))) = X_54 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X_54),complement(complement(complement(X_54))))))),bind(Y,$fot(meet(X_54,complement(complement(X_54))))),bind(Z,$fot(X_54))]]) ).

cnf(refute_0_777,plain,
    ( meet(X_54,complement(complement(X_54))) != X_54
    | complement(join(complement(X_54),complement(complement(complement(X_54))))) = X_54 ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_54),complement(complement(complement(X_54))))),meet(X_54,complement(complement(X_54)))) )],[refute_0_775,refute_0_776]) ).

cnf(refute_0_778,plain,
    complement(join(complement(X_54),complement(complement(complement(X_54))))) = X_54,
    inference(resolve,[$cnf( $equal(meet(X_54,complement(complement(X_54))),X_54) )],[refute_0_774,refute_0_777]) ).

cnf(refute_0_779,plain,
    complement(meet(top,X_54)) = complement(meet(top,X_54)),
    introduced(tautology,[refl,[$fot(complement(meet(top,X_54)))]]) ).

cnf(refute_0_780,plain,
    ( complement(meet(top,X_54)) != complement(meet(top,X_54))
    | meet(top,X_54) != complement(complement(X_54))
    | complement(meet(top,X_54)) = complement(complement(complement(X_54))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_54)),complement(meet(top,X_54))) ),[1,0],$fot(complement(complement(X_54)))]]) ).

cnf(refute_0_781,plain,
    ( meet(top,X_54) != complement(complement(X_54))
    | complement(meet(top,X_54)) = complement(complement(complement(X_54))) ),
    inference(resolve,[$cnf( $equal(complement(meet(top,X_54)),complement(meet(top,X_54))) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    complement(meet(top,X_54)) = complement(complement(complement(X_54))),
    inference(resolve,[$cnf( $equal(meet(top,X_54),complement(complement(X_54))) )],[refute_0_765,refute_0_781]) ).

cnf(refute_0_783,plain,
    join(complement(X_54),complement(meet(top,X_54))) = join(complement(X_54),complement(meet(top,X_54))),
    introduced(tautology,[refl,[$fot(join(complement(X_54),complement(meet(top,X_54))))]]) ).

cnf(refute_0_784,plain,
    ( complement(meet(top,X_54)) != complement(complement(complement(X_54)))
    | join(complement(X_54),complement(meet(top,X_54))) != join(complement(X_54),complement(meet(top,X_54)))
    | join(complement(X_54),complement(meet(top,X_54))) = join(complement(X_54),complement(complement(complement(X_54)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_54),complement(meet(top,X_54))),join(complement(X_54),complement(meet(top,X_54)))) ),[1,1],$fot(complement(complement(complement(X_54))))]]) ).

cnf(refute_0_785,plain,
    ( complement(meet(top,X_54)) != complement(complement(complement(X_54)))
    | join(complement(X_54),complement(meet(top,X_54))) = join(complement(X_54),complement(complement(complement(X_54)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_54),complement(meet(top,X_54))),join(complement(X_54),complement(meet(top,X_54)))) )],[refute_0_783,refute_0_784]) ).

cnf(refute_0_786,plain,
    join(complement(X_54),complement(meet(top,X_54))) = join(complement(X_54),complement(complement(complement(X_54)))),
    inference(resolve,[$cnf( $equal(complement(meet(top,X_54)),complement(complement(complement(X_54)))) )],[refute_0_782,refute_0_785]) ).

cnf(refute_0_787,plain,
    join(zero,join(complement(X_54),complement(meet(top,X_54)))) = join(complement(X_54),complement(meet(top,X_54))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(join(complement(X_54),complement(meet(top,X_54)))))]]) ).

cnf(refute_0_788,plain,
    ( join(complement(X_54),complement(meet(top,X_54))) != join(complement(X_54),complement(complement(complement(X_54))))
    | join(zero,join(complement(X_54),complement(meet(top,X_54)))) != join(complement(X_54),complement(meet(top,X_54)))
    | join(zero,join(complement(X_54),complement(meet(top,X_54)))) = join(complement(X_54),complement(complement(complement(X_54)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,join(complement(X_54),complement(meet(top,X_54)))))),bind(Y,$fot(join(complement(X_54),complement(meet(top,X_54))))),bind(Z,$fot(join(complement(X_54),complement(complement(complement(X_54))))))]]) ).

cnf(refute_0_789,plain,
    ( join(complement(X_54),complement(meet(top,X_54))) != join(complement(X_54),complement(complement(complement(X_54))))
    | join(zero,join(complement(X_54),complement(meet(top,X_54)))) = join(complement(X_54),complement(complement(complement(X_54)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_54),complement(meet(top,X_54)))),join(complement(X_54),complement(meet(top,X_54)))) )],[refute_0_787,refute_0_788]) ).

cnf(refute_0_790,plain,
    join(zero,join(complement(X_54),complement(meet(top,X_54)))) = join(complement(X_54),complement(complement(complement(X_54)))),
    inference(resolve,[$cnf( $equal(join(complement(X_54),complement(meet(top,X_54))),join(complement(X_54),complement(complement(complement(X_54))))) )],[refute_0_786,refute_0_789]) ).

cnf(refute_0_791,plain,
    complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),
    introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))]]) ).

cnf(refute_0_792,plain,
    ( complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) != complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))
    | join(zero,join(complement(X_54),complement(meet(top,X_54)))) != join(complement(X_54),complement(complement(complement(X_54))))
    | complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = complement(join(complement(X_54),complement(complement(complement(X_54))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) ),[1,0],$fot(join(complement(X_54),complement(complement(complement(X_54)))))]]) ).

cnf(refute_0_793,plain,
    ( join(zero,join(complement(X_54),complement(meet(top,X_54)))) != join(complement(X_54),complement(complement(complement(X_54))))
    | complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = complement(join(complement(X_54),complement(complement(complement(X_54))))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) )],[refute_0_791,refute_0_792]) ).

cnf(refute_0_794,plain,
    complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = complement(join(complement(X_54),complement(complement(complement(X_54))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_54),complement(meet(top,X_54)))),join(complement(X_54),complement(complement(complement(X_54))))) )],[refute_0_790,refute_0_793]) ).

cnf(refute_0_795,plain,
    ( complement(join(complement(X_54),complement(complement(complement(X_54))))) != X_54
    | complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) != complement(join(complement(X_54),complement(complement(complement(X_54)))))
    | complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = X_54 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))),bind(Y,$fot(complement(join(complement(X_54),complement(complement(complement(X_54))))))),bind(Z,$fot(X_54))]]) ).

cnf(refute_0_796,plain,
    ( complement(join(complement(X_54),complement(complement(complement(X_54))))) != X_54
    | complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = X_54 ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),complement(join(complement(X_54),complement(complement(complement(X_54)))))) )],[refute_0_794,refute_0_795]) ).

cnf(refute_0_797,plain,
    complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) = X_54,
    inference(resolve,[$cnf( $equal(complement(join(complement(X_54),complement(complement(complement(X_54))))),X_54) )],[refute_0_778,refute_0_796]) ).

cnf(refute_0_798,plain,
    join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) = complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))))]]) ).

cnf(refute_0_799,plain,
    ( complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) != X_54
    | join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) != complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))
    | join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) = X_54 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))))),bind(Y,$fot(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))),bind(Z,$fot(X_54))]]) ).

cnf(refute_0_800,plain,
    ( complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))) != X_54
    | join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) = X_54 ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))),complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) )],[refute_0_798,refute_0_799]) ).

cnf(refute_0_801,plain,
    join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) = X_54,
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))),X_54) )],[refute_0_797,refute_0_800]) ).

cnf(refute_0_802,plain,
    ( complement(complement(X_54)) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))) != X_54
    | complement(complement(X_54)) = X_54 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_54)),X_54) ),[0],$fot(join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))))]]) ).

cnf(refute_0_803,plain,
    ( complement(complement(X_54)) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | complement(complement(X_54)) = X_54 ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54)))))),X_54) )],[refute_0_801,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( meet(top,X_54) != join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))
    | complement(complement(X_54)) = X_54 ),
    inference(resolve,[$cnf( $equal(complement(complement(X_54)),join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))) )],[refute_0_767,refute_0_803]) ).

cnf(refute_0_805,plain,
    complement(complement(X_54)) = X_54,
    inference(resolve,[$cnf( $equal(meet(top,X_54),join(zero,complement(join(zero,join(complement(X_54),complement(meet(top,X_54))))))) )],[refute_0_756,refute_0_804]) ).

cnf(refute_0_806,plain,
    complement(complement(meet(A,B))) = meet(A,B),
    inference(subst,[],[refute_0_805:[bind(X_54,$fot(meet(A,B)))]]) ).

cnf(refute_0_807,plain,
    join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),complement(complement(meet(A,B)))),
    introduced(tautology,[refl,[$fot(join(meet(A,B),complement(complement(meet(A,B)))))]]) ).

cnf(refute_0_808,plain,
    ( complement(complement(meet(A,B))) != meet(A,B)
    | join(meet(A,B),complement(complement(meet(A,B)))) != join(meet(A,B),complement(complement(meet(A,B))))
    | join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),complement(complement(meet(A,B))))) ),[1,1],$fot(meet(A,B))]]) ).

cnf(refute_0_809,plain,
    ( complement(complement(meet(A,B))) != meet(A,B)
    | join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)) ),
    inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)),
    inference(resolve,[$cnf( $equal(complement(complement(meet(A,B))),meet(A,B)) )],[refute_0_806,refute_0_809]) ).

cnf(refute_0_811,plain,
    ( join(meet(A,B),complement(complement(meet(A,B)))) != join(meet(A,B),meet(A,B))
    | join(meet(A,B),meet(A,B)) != meet(A,B)
    | join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(A,B),complement(complement(meet(A,B)))))),bind(Y,$fot(join(meet(A,B),meet(A,B)))),bind(Z,$fot(meet(A,B)))]]) ).

cnf(refute_0_812,plain,
    ( join(meet(A,B),meet(A,B)) != meet(A,B)
    | join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B) ),
    inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),meet(A,B))) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B),
    inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,B)),meet(A,B)) )],[refute_0_710,refute_0_812]) ).

cnf(refute_0_814,plain,
    complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
    introduced(tautology,[refl,[$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))]]) ).

cnf(refute_0_815,plain,
    ( complement(join(meet(A,B),complement(complement(meet(A,B))))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(meet(A,B),complement(complement(meet(A,B)))) != meet(A,B)
    | complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),[1,0],$fot(meet(A,B))]]) ).

cnf(refute_0_816,plain,
    ( join(meet(A,B),complement(complement(meet(A,B)))) != meet(A,B)
    | complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)),
    inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),meet(A,B)) )],[refute_0_813,refute_0_816]) ).

cnf(refute_0_818,plain,
    ( complement(join(meet(A,B),complement(complement(meet(A,B))))) != complement(meet(A,B))
    | join(complement(A),complement(B)) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(complement(A),complement(B)) = complement(meet(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),[1],$fot(complement(meet(A,B)))]]) ).

cnf(refute_0_819,plain,
    ( join(complement(A),complement(B)) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
    | join(complement(A),complement(B)) = complement(meet(A,B)) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(meet(A,B))) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,plain,
    join(complement(A),complement(B)) = complement(meet(A,B)),
    inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_692,refute_0_819]) ).

cnf(refute_0_821,plain,
    join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) = complement(meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(subst,[],[refute_0_820:[bind(A,$fot(one)),bind(B,$fot(converse(composition(join(one,one),join(one,one)))))]]) ).

cnf(refute_0_822,plain,
    ( join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) != complement(meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) != complement(one)
    | complement(meet(one,converse(composition(join(one,one),join(one,one))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(converse(composition(join(one,one),join(one,one))))),complement(one)) ),[0],$fot(complement(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_823,plain,
    ( join(complement(one),complement(converse(composition(join(one,one),join(one,one))))) != complement(one)
    | complement(meet(one,converse(composition(join(one,one),join(one,one))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    complement(meet(one,converse(composition(join(one,one),join(one,one))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(join(one,one),join(one,one))))),complement(one)) )],[refute_0_242,refute_0_823]) ).

cnf(refute_0_825,plain,
    ( complement(meet(one,converse(composition(join(one,one),join(one,one))))) != complement(one)
    | top != join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | top = join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) ),[1,1],$fot(complement(one))]]) ).

cnf(refute_0_826,plain,
    ( top != join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | top = join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)) ),
    inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one)) )],[refute_0_824,refute_0_825]) ).

cnf(refute_0_827,plain,
    top = join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)),
    inference(resolve,[$cnf( $equal(top,join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_147,refute_0_826]) ).

cnf(refute_0_828,plain,
    join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)) = join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(one))),bind(B,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_829,plain,
    ( join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)) != join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))
    | top != join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one))
    | top = join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one))) ),[1],$fot(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_830,plain,
    ( top != join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one))
    | top = join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one)),join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    top = join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(top,join(meet(one,converse(composition(join(one,one),join(one,one)))),complement(one))) )],[refute_0_827,refute_0_830]) ).

cnf(refute_0_832,plain,
    ( top != join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_833,plain,
    join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_831,refute_0_832]) ).

cnf(refute_0_834,plain,
    ( join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))) != top
    | one != join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))))
    | one = join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_835,plain,
    ( one != join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))))
    | one = join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one))))),top) )],[refute_0_833,refute_0_834]) ).

cnf(refute_0_836,plain,
    one = join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)),
    inference(resolve,[$cnf( $equal(one,join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(join(complement(one),meet(one,converse(composition(join(one,one),join(one,one)))))))) )],[refute_0_146,refute_0_835]) ).

cnf(refute_0_837,plain,
    join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_838,plain,
    join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_839,plain,
    ( complement(top) != zero
    | join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_840,plain,
    ( complement(top) != zero
    | join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_838,refute_0_839]) ).

cnf(refute_0_841,plain,
    join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_840]) ).

cnf(refute_0_842,plain,
    ( join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Y,$fot(join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Z,$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_843,plain,
    ( join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(join(zero,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_837,refute_0_843]) ).

cnf(refute_0_845,plain,
    join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) = join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_846,plain,
    ( join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) != join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Z,$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_847,plain,
    ( join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)),join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_845,refute_0_846]) ).

cnf(refute_0_848,plain,
    join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_844,refute_0_847]) ).

cnf(refute_0_849,plain,
    ( join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)) != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | one != join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top))
    | one = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top))) ),[1],$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_850,plain,
    ( one != join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top))
    | one = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top)),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_848,refute_0_849]) ).

cnf(refute_0_851,plain,
    one = meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(one,join(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(top))) )],[refute_0_836,refute_0_850]) ).

cnf(refute_0_852,plain,
    ( one != meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_853,plain,
    meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one,
    inference(resolve,[$cnf( $equal(one,meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_851,refute_0_852]) ).

cnf(refute_0_854,plain,
    ( meet(one,meet(one,converse(composition(join(one,one),join(one,one))))) != one
    | top != join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))
    | top = join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) ),[1,1,1],$fot(one)]]) ).

cnf(refute_0_855,plain,
    ( top != join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))
    | top = join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) ),
    inference(resolve,[$cnf( $equal(meet(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) )],[refute_0_853,refute_0_854]) ).

cnf(refute_0_856,plain,
    top = join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)),
    inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),meet(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) )],[refute_0_145,refute_0_855]) ).

cnf(refute_0_857,plain,
    join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),
    introduced(tautology,[refl,[$fot(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_858,plain,
    ( complement(meet(one,converse(composition(join(one,one),join(one,one))))) != complement(one)
    | join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) = join(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) ),[1,1],$fot(complement(one))]]) ).

cnf(refute_0_859,plain,
    ( complement(meet(one,converse(composition(join(one,one),join(one,one))))) != complement(one)
    | join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) = join(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) = join(top,complement(one)),
    inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one)) )],[refute_0_824,refute_0_859]) ).

cnf(refute_0_861,plain,
    join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(one)),bind(X_62,$fot(complement(meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_862,plain,
    join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(one)),bind(X_61,$fot(complement(one))),bind(X_62,$fot(complement(meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_863,plain,
    ( join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one)))))))
    | join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))))),bind(Y,$fot(join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))))),bind(Z,$fot(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_864,plain,
    ( join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))),join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one)))))))) )],[refute_0_862,refute_0_863]) ).

cnf(refute_0_865,plain,
    join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),complement(meet(one,converse(composition(join(one,one),join(one,one))))))),join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_861,refute_0_864]) ).

cnf(refute_0_866,plain,
    join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(complement(one))),bind(X_61,$fot(complement(meet(one,converse(composition(join(one,one),join(one,one))))))),bind(X_62,$fot(one))]]) ).

cnf(refute_0_867,plain,
    ( join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) != join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one)))))))
    | join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)))),bind(Y,$fot(join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))))),bind(Z,$fot(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_868,plain,
    ( join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)),join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one)))))))) )],[refute_0_866,refute_0_867]) ).

cnf(refute_0_869,plain,
    join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(one,complement(meet(one,converse(composition(join(one,one),join(one,one))))))),join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_865,refute_0_868]) ).

cnf(refute_0_870,plain,
    ( join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) != join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) != join(top,complement(one))
    | join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(one)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)))),bind(Y,$fot(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Z,$fot(join(top,complement(one))))]]) ).

cnf(refute_0_871,plain,
    ( join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))) != join(top,complement(one))
    | join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)),join(top,complement(meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_869,refute_0_870]) ).

cnf(refute_0_872,plain,
    join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) = join(top,complement(one)),
    inference(resolve,[$cnf( $equal(join(top,complement(meet(one,converse(composition(join(one,one),join(one,one)))))),join(top,complement(one))) )],[refute_0_860,refute_0_871]) ).

cnf(refute_0_873,plain,
    ( join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)) != join(top,complement(one))
    | top != join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one))
    | top = join(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one))) ),[1],$fot(join(top,complement(one)))]]) ).

cnf(refute_0_874,plain,
    ( top != join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one))
    | top = join(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one)),join(top,complement(one))) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    top = join(top,complement(one)),
    inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(meet(one,converse(composition(join(one,one),join(one,one))))),one))) )],[refute_0_856,refute_0_874]) ).

cnf(refute_0_876,plain,
    ( top != join(top,complement(one))
    | join(top,complement(one)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(one))))]]) ).

cnf(refute_0_877,plain,
    join(top,complement(one)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(one))) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    ( join(top,complement(one)) != top
    | join(top,join(complement(one),C)) != join(join(top,complement(one)),C)
    | join(top,join(complement(one),C)) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),C)),join(join(top,complement(one)),C)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_879,plain,
    ( join(top,join(complement(one),C)) != join(join(top,complement(one)),C)
    | join(top,join(complement(one),C)) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_877,refute_0_878]) ).

cnf(refute_0_880,plain,
    join(top,join(complement(one),C)) = join(top,C),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),C)),join(join(top,complement(one)),C)) )],[refute_0_133,refute_0_879]) ).

cnf(refute_0_881,plain,
    join(top,join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) = join(top,join(converse(complement(converse(top))),complement(complement(one)))),
    inference(subst,[],[refute_0_880:[bind(C,$fot(join(converse(complement(converse(top))),complement(complement(one)))))]]) ).

cnf(refute_0_882,plain,
    converse(top) = join(join(X_19,converse(A)),converse(complement(converse(join(X_19,converse(A)))))),
    inference(subst,[],[refute_0_122:[bind(X_23,$fot(join(X_19,converse(A))))]]) ).

cnf(refute_0_883,plain,
    converse(join(X_19,converse(A))) = join(converse(X_19),converse(converse(A))),
    inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_19)),bind(B,$fot(converse(A)))]]) ).

cnf(refute_0_884,plain,
    ( converse(converse(A)) != A
    | converse(join(X_19,converse(A))) != join(converse(X_19),converse(converse(A)))
    | converse(join(X_19,converse(A))) = join(converse(X_19),A) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_19,converse(A))),join(converse(X_19),converse(converse(A)))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_885,plain,
    ( converse(join(X_19,converse(A))) != join(converse(X_19),converse(converse(A)))
    | converse(join(X_19,converse(A))) = join(converse(X_19),A) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_884]) ).

cnf(refute_0_886,plain,
    converse(join(X_19,converse(A))) = join(converse(X_19),A),
    inference(resolve,[$cnf( $equal(converse(join(X_19,converse(A))),join(converse(X_19),converse(converse(A)))) )],[refute_0_883,refute_0_885]) ).

cnf(refute_0_887,plain,
    ( converse(join(X_19,converse(A))) != join(converse(X_19),A)
    | converse(top) != join(join(X_19,converse(A)),converse(complement(converse(join(X_19,converse(A))))))
    | converse(top) = join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_19,converse(A)),converse(complement(converse(join(X_19,converse(A))))))) ),[1,1,0,0],$fot(join(converse(X_19),A))]]) ).

cnf(refute_0_888,plain,
    ( converse(top) != join(join(X_19,converse(A)),converse(complement(converse(join(X_19,converse(A))))))
    | converse(top) = join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_19,converse(A))),join(converse(X_19),A)) )],[refute_0_886,refute_0_887]) ).

cnf(refute_0_889,plain,
    converse(top) = join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_19,converse(A)),converse(complement(converse(join(X_19,converse(A))))))) )],[refute_0_882,refute_0_888]) ).

cnf(refute_0_890,plain,
    join(converse(A),converse(complement(join(converse(X_19),A)))) = converse(join(A,complement(join(converse(X_19),A)))),
    inference(subst,[],[refute_0_65:[bind(B,$fot(complement(join(converse(X_19),A))))]]) ).

cnf(refute_0_891,plain,
    join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) = join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))),
    introduced(tautology,[refl,[$fot(join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))))]]) ).

cnf(refute_0_892,plain,
    ( join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) != join(X_19,join(converse(A),converse(complement(join(converse(X_19),A)))))
    | join(converse(A),converse(complement(join(converse(X_19),A)))) != converse(join(A,complement(join(converse(X_19),A))))
    | join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))),join(X_19,join(converse(A),converse(complement(join(converse(X_19),A)))))) ),[1,1],$fot(converse(join(A,complement(join(converse(X_19),A)))))]]) ).

cnf(refute_0_893,plain,
    ( join(converse(A),converse(complement(join(converse(X_19),A)))) != converse(join(A,complement(join(converse(X_19),A))))
    | join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    inference(resolve,[$cnf( $equal(join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))),join(X_19,join(converse(A),converse(complement(join(converse(X_19),A)))))) )],[refute_0_891,refute_0_892]) ).

cnf(refute_0_894,plain,
    join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))),
    inference(resolve,[$cnf( $equal(join(converse(A),converse(complement(join(converse(X_19),A)))),converse(join(A,complement(join(converse(X_19),A))))) )],[refute_0_890,refute_0_893]) ).

cnf(refute_0_895,plain,
    join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) = join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_19)),bind(B,$fot(converse(A))),bind(C,$fot(converse(complement(join(converse(X_19),A)))))]]) ).

cnf(refute_0_896,plain,
    ( join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) != join(X_19,converse(join(A,complement(join(converse(X_19),A)))))
    | join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) != join(X_19,join(converse(A),converse(complement(join(converse(X_19),A)))))
    | join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))))),bind(Y,$fot(join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))))),bind(Z,$fot(join(X_19,converse(join(A,complement(join(converse(X_19),A)))))))]]) ).

cnf(refute_0_897,plain,
    ( join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))) != join(X_19,converse(join(A,complement(join(converse(X_19),A)))))
    | join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))),join(X_19,join(converse(A),converse(complement(join(converse(X_19),A)))))) )],[refute_0_895,refute_0_896]) ).

cnf(refute_0_898,plain,
    join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))),
    inference(resolve,[$cnf( $equal(join(X_19,join(converse(A),converse(complement(join(converse(X_19),A))))),join(X_19,converse(join(A,complement(join(converse(X_19),A)))))) )],[refute_0_894,refute_0_897]) ).

cnf(refute_0_899,plain,
    ( converse(top) != join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A))))
    | join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))) != join(X_19,converse(join(A,complement(join(converse(X_19),A)))))
    | converse(top) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_19,converse(join(A,complement(join(converse(X_19),A)))))) ),[0],$fot(join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))))]]) ).

cnf(refute_0_900,plain,
    ( converse(top) != join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A))))
    | converse(top) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A)))),join(X_19,converse(join(A,complement(join(converse(X_19),A)))))) )],[refute_0_898,refute_0_899]) ).

cnf(refute_0_901,plain,
    converse(top) = join(X_19,converse(join(A,complement(join(converse(X_19),A))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_19,converse(A)),converse(complement(join(converse(X_19),A))))) )],[refute_0_889,refute_0_900]) ).

cnf(refute_0_902,plain,
    converse(top) = join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(join(converse(X_100),converse(complement(converse(converse(X_100))))))))),
    inference(subst,[],[refute_0_901:[bind(A,$fot(converse(complement(converse(converse(X_100)))))),bind(X_19,$fot(X_100))]]) ).

cnf(refute_0_903,plain,
    converse(top) = join(converse(X_100),converse(complement(converse(converse(X_100))))),
    inference(subst,[],[refute_0_122:[bind(X_23,$fot(converse(X_100)))]]) ).

cnf(refute_0_904,plain,
    ( converse(top) != join(converse(X_100),converse(complement(converse(converse(X_100)))))
    | join(converse(X_100),converse(complement(converse(converse(X_100))))) = converse(top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X_100),converse(complement(converse(converse(X_100)))))))]]) ).

cnf(refute_0_905,plain,
    join(converse(X_100),converse(complement(converse(converse(X_100))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(X_100),converse(complement(converse(converse(X_100)))))) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    ( converse(top) != join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(join(converse(X_100),converse(complement(converse(converse(X_100)))))))))
    | join(converse(X_100),converse(complement(converse(converse(X_100))))) != converse(top)
    | converse(top) = join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(join(converse(X_100),converse(complement(converse(converse(X_100)))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).

cnf(refute_0_907,plain,
    ( converse(top) != join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(join(converse(X_100),converse(complement(converse(converse(X_100)))))))))
    | converse(top) = join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_100),converse(complement(converse(converse(X_100))))),converse(top)) )],[refute_0_905,refute_0_906]) ).

cnf(refute_0_908,plain,
    converse(top) = join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(join(converse(X_100),converse(complement(converse(converse(X_100)))))))))) )],[refute_0_902,refute_0_907]) ).

cnf(refute_0_909,plain,
    converse(converse(X_100)) = X_100,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_100))]]) ).

cnf(refute_0_910,plain,
    complement(converse(converse(X_100))) = complement(converse(converse(X_100))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(X_100))))]]) ).

cnf(refute_0_911,plain,
    ( complement(converse(converse(X_100))) != complement(converse(converse(X_100)))
    | converse(converse(X_100)) != X_100
    | complement(converse(converse(X_100))) = complement(X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_100))),complement(converse(converse(X_100)))) ),[1,0],$fot(X_100)]]) ).

cnf(refute_0_912,plain,
    ( converse(converse(X_100)) != X_100
    | complement(converse(converse(X_100))) = complement(X_100) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_100))),complement(converse(converse(X_100)))) )],[refute_0_910,refute_0_911]) ).

cnf(refute_0_913,plain,
    complement(converse(converse(X_100))) = complement(X_100),
    inference(resolve,[$cnf( $equal(converse(converse(X_100)),X_100) )],[refute_0_909,refute_0_912]) ).

cnf(refute_0_914,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_100)))) = join(converse(complement(converse(top))),complement(converse(converse(X_100)))),
    introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),complement(converse(converse(X_100)))))]]) ).

cnf(refute_0_915,plain,
    ( complement(converse(converse(X_100))) != complement(X_100)
    | join(converse(complement(converse(top))),complement(converse(converse(X_100)))) != join(converse(complement(converse(top))),complement(converse(converse(X_100))))
    | join(converse(complement(converse(top))),complement(converse(converse(X_100)))) = join(converse(complement(converse(top))),complement(X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_100)))),join(converse(complement(converse(top))),complement(converse(converse(X_100))))) ),[1,1],$fot(complement(X_100))]]) ).

cnf(refute_0_916,plain,
    ( complement(converse(converse(X_100))) != complement(X_100)
    | join(converse(complement(converse(top))),complement(converse(converse(X_100)))) = join(converse(complement(converse(top))),complement(X_100)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_100)))),join(converse(complement(converse(top))),complement(converse(converse(X_100))))) )],[refute_0_914,refute_0_915]) ).

cnf(refute_0_917,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_100)))) = join(converse(complement(converse(top))),complement(X_100)),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_100))),complement(X_100)) )],[refute_0_913,refute_0_916]) ).

cnf(refute_0_918,plain,
    converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) = join(converse(complement(converse(top))),complement(converse(converse(X_100)))),
    inference(subst,[],[refute_0_886:[bind(A,$fot(complement(converse(converse(X_100))))),bind(X_19,$fot(complement(converse(top))))]]) ).

cnf(refute_0_919,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) != join(converse(complement(converse(top))),complement(converse(converse(X_100))))
    | join(converse(complement(converse(top))),complement(converse(converse(X_100)))) != join(converse(complement(converse(top))),complement(X_100))
    | converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) = join(converse(complement(converse(top))),complement(X_100)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))),bind(Y,$fot(join(converse(complement(converse(top))),complement(converse(converse(X_100)))))),bind(Z,$fot(join(converse(complement(converse(top))),complement(X_100))))]]) ).

cnf(refute_0_920,plain,
    ( join(converse(complement(converse(top))),complement(converse(converse(X_100)))) != join(converse(complement(converse(top))),complement(X_100))
    | converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) = join(converse(complement(converse(top))),complement(X_100)) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))),join(converse(complement(converse(top))),complement(converse(converse(X_100))))) )],[refute_0_918,refute_0_919]) ).

cnf(refute_0_921,plain,
    converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) = join(converse(complement(converse(top))),complement(X_100)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_100)))),join(converse(complement(converse(top))),complement(X_100))) )],[refute_0_917,refute_0_920]) ).

cnf(refute_0_922,plain,
    join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) = join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))),
    introduced(tautology,[refl,[$fot(join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))))]]) ).

cnf(refute_0_923,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) != join(converse(complement(converse(top))),complement(X_100))
    | join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) != join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))
    | join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))),join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))) ),[1,1],$fot(join(converse(complement(converse(top))),complement(X_100)))]]) ).

cnf(refute_0_924,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))) != join(converse(complement(converse(top))),complement(X_100))
    | join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    inference(resolve,[$cnf( $equal(join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))),join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))),join(converse(complement(converse(top))),complement(X_100))) )],[refute_0_921,refute_0_924]) ).

cnf(refute_0_926,plain,
    converse(join(converse(A),join(X_41,X_40))) = join(A,converse(join(X_41,X_40))),
    inference(subst,[],[refute_0_115:[bind(X_20,$fot(join(X_41,X_40)))]]) ).

cnf(refute_0_927,plain,
    ( converse(join(X_41,X_40)) != converse(join(X_40,X_41))
    | converse(join(converse(A),join(X_41,X_40))) != join(A,converse(join(X_41,X_40)))
    | converse(join(converse(A),join(X_41,X_40))) = join(A,converse(join(X_40,X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_41,X_40))),join(A,converse(join(X_41,X_40)))) ),[1,1],$fot(converse(join(X_40,X_41)))]]) ).

cnf(refute_0_928,plain,
    ( converse(join(converse(A),join(X_41,X_40))) != join(A,converse(join(X_41,X_40)))
    | converse(join(converse(A),join(X_41,X_40))) = join(A,converse(join(X_40,X_41))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_41,X_40)),converse(join(X_40,X_41))) )],[refute_0_124,refute_0_927]) ).

cnf(refute_0_929,plain,
    converse(join(converse(A),join(X_41,X_40))) = join(A,converse(join(X_40,X_41))),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_41,X_40))),join(A,converse(join(X_41,X_40)))) )],[refute_0_926,refute_0_928]) ).

cnf(refute_0_930,plain,
    ( converse(join(converse(A),join(X_41,X_40))) != join(A,converse(join(X_40,X_41)))
    | converse(join(converse(A),join(X_41,X_40))) != join(A,converse(join(X_41,X_40)))
    | join(A,converse(join(X_41,X_40))) = join(A,converse(join(X_40,X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_41,X_40))),join(A,converse(join(X_40,X_41)))) ),[0],$fot(join(A,converse(join(X_41,X_40))))]]) ).

cnf(refute_0_931,plain,
    ( converse(join(converse(A),join(X_41,X_40))) != join(A,converse(join(X_40,X_41)))
    | join(A,converse(join(X_41,X_40))) = join(A,converse(join(X_40,X_41))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_41,X_40))),join(A,converse(join(X_41,X_40)))) )],[refute_0_926,refute_0_930]) ).

cnf(refute_0_932,plain,
    join(A,converse(join(X_41,X_40))) = join(A,converse(join(X_40,X_41))),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_41,X_40))),join(A,converse(join(X_40,X_41)))) )],[refute_0_929,refute_0_931]) ).

cnf(refute_0_933,plain,
    ( join(A,converse(join(X_41,X_40))) != join(A,converse(join(X_40,X_41)))
    | join(A,converse(join(X_40,X_41))) = join(A,converse(join(X_41,X_40))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(X_41,X_40))))),bind(Y,$fot(join(A,converse(join(X_40,X_41)))))]]) ).

cnf(refute_0_934,plain,
    join(A,converse(join(X_40,X_41))) = join(A,converse(join(X_41,X_40))),
    inference(resolve,[$cnf( $equal(join(A,converse(join(X_41,X_40))),join(A,converse(join(X_40,X_41)))) )],[refute_0_932,refute_0_933]) ).

cnf(refute_0_935,plain,
    join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) = join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))),
    inference(subst,[],[refute_0_934:[bind(A,$fot(X_100)),bind(X_40,$fot(converse(complement(converse(converse(X_100)))))),bind(X_41,$fot(complement(converse(top))))]]) ).

cnf(refute_0_936,plain,
    ( join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) != join(X_100,join(converse(complement(converse(top))),complement(X_100)))
    | join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) != join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))
    | join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))))),bind(Y,$fot(join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))))),bind(Z,$fot(join(X_100,join(converse(complement(converse(top))),complement(X_100)))))]]) ).

cnf(refute_0_937,plain,
    ( join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))) != join(X_100,join(converse(complement(converse(top))),complement(X_100)))
    | join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    inference(resolve,[$cnf( $equal(join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))),join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100)))))))) )],[refute_0_935,refute_0_936]) ).

cnf(refute_0_938,plain,
    join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) = join(X_100,join(converse(complement(converse(top))),complement(X_100))),
    inference(resolve,[$cnf( $equal(join(X_100,converse(join(complement(converse(top)),converse(complement(converse(converse(X_100))))))),join(X_100,join(converse(complement(converse(top))),complement(X_100)))) )],[refute_0_925,refute_0_937]) ).

cnf(refute_0_939,plain,
    ( converse(top) != join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top)))))
    | join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))) != join(X_100,join(converse(complement(converse(top))),complement(X_100)))
    | converse(top) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_100,join(converse(complement(converse(top))),complement(X_100)))) ),[0],$fot(join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))))]]) ).

cnf(refute_0_940,plain,
    ( converse(top) != join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top)))))
    | converse(top) = join(X_100,join(converse(complement(converse(top))),complement(X_100))) ),
    inference(resolve,[$cnf( $equal(join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top))))),join(X_100,join(converse(complement(converse(top))),complement(X_100)))) )],[refute_0_938,refute_0_939]) ).

cnf(refute_0_941,plain,
    converse(top) = join(X_100,join(converse(complement(converse(top))),complement(X_100))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_100,converse(join(converse(complement(converse(converse(X_100)))),complement(converse(top)))))) )],[refute_0_908,refute_0_940]) ).

cnf(refute_0_942,plain,
    converse(top) = join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))),
    inference(subst,[],[refute_0_941:[bind(X_100,$fot(complement(one)))]]) ).

cnf(refute_0_943,plain,
    ( converse(top) != join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))
    | join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))) = converse(top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))))]]) ).

cnf(refute_0_944,plain,
    join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) )],[refute_0_942,refute_0_943]) ).

cnf(refute_0_945,plain,
    ( join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))) != converse(top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) != join(top,join(converse(complement(converse(top))),complement(complement(one))))
    | join(top,converse(top)) = join(top,join(converse(complement(converse(top))),complement(complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))),join(top,join(converse(complement(converse(top))),complement(complement(one))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_946,plain,
    ( join(top,join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) != join(top,join(converse(complement(converse(top))),complement(complement(one))))
    | join(top,converse(top)) = join(top,join(converse(complement(converse(top))),complement(complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))),converse(top)) )],[refute_0_944,refute_0_945]) ).

cnf(refute_0_947,plain,
    join(top,converse(top)) = join(top,join(converse(complement(converse(top))),complement(complement(one)))),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))),join(top,join(converse(complement(converse(top))),complement(complement(one))))) )],[refute_0_881,refute_0_946]) ).

cnf(refute_0_948,plain,
    join(top,join(complement(one),complement(complement(one)))) = join(top,complement(complement(one))),
    inference(subst,[],[refute_0_880:[bind(C,$fot(complement(complement(one))))]]) ).

cnf(refute_0_949,plain,
    top = join(complement(one),complement(complement(one))),
    inference(subst,[],[def_top_12:[bind(A,$fot(complement(one)))]]) ).

cnf(refute_0_950,plain,
    ( top != join(complement(one),complement(complement(one)))
    | join(complement(one),complement(complement(one))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),complement(complement(one)))))]]) ).

cnf(refute_0_951,plain,
    join(complement(one),complement(complement(one))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(one),complement(complement(one)))) )],[refute_0_949,refute_0_950]) ).

cnf(refute_0_952,plain,
    ( join(complement(one),complement(complement(one))) != top
    | join(top,join(complement(one),complement(complement(one)))) != join(top,complement(complement(one)))
    | join(top,top) = join(top,complement(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),complement(complement(one)))),join(top,complement(complement(one)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_953,plain,
    ( join(top,join(complement(one),complement(complement(one)))) != join(top,complement(complement(one)))
    | join(top,top) = join(top,complement(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(one))),top) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    join(top,top) = join(top,complement(complement(one))),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),complement(complement(one)))),join(top,complement(complement(one)))) )],[refute_0_948,refute_0_953]) ).

cnf(refute_0_955,plain,
    join(complement(zero),join(zero,join(top,complement(zero)))) = join(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),
    inference(subst,[],[refute_0_365:[bind(X_15,$fot(join(complement(zero),join(zero,join(top,complement(zero))))))]]) ).

cnf(refute_0_956,plain,
    meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) = complement(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(complement(zero),join(zero,join(top,complement(zero))))))]]) ).

cnf(refute_0_957,plain,
    zero = join(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),join(zero,join(top,complement(zero)))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(zero)),bind(B,$fot(join(zero,join(top,complement(zero)))))]]) ).

cnf(refute_0_958,plain,
    meet(zero,join(zero,join(top,complement(zero)))) = complement(join(complement(zero),complement(join(zero,join(top,complement(zero)))))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(zero)),bind(B,$fot(join(zero,join(top,complement(zero)))))]]) ).

cnf(refute_0_959,plain,
    top = join(meet(top,join(top,complement(zero))),complement(join(complement(top),join(top,complement(zero))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(top)),bind(B,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_960,plain,
    ( meet(top,join(top,complement(zero))) != complement(zero)
    | top != join(meet(top,join(top,complement(zero))),complement(join(complement(top),join(top,complement(zero)))))
    | top = join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(top,complement(zero))),complement(join(complement(top),join(top,complement(zero)))))) ),[1,0],$fot(complement(zero))]]) ).

cnf(refute_0_961,plain,
    ( top != join(meet(top,join(top,complement(zero))),complement(join(complement(top),join(top,complement(zero)))))
    | top = join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_401,refute_0_960]) ).

cnf(refute_0_962,plain,
    top = join(complement(zero),complement(join(complement(top),join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,join(top,complement(zero))),complement(join(complement(top),join(top,complement(zero)))))) )],[refute_0_959,refute_0_961]) ).

cnf(refute_0_963,plain,
    join(complement(top),join(top,complement(zero))) = join(complement(top),join(top,complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(top),join(top,complement(zero))))]]) ).

cnf(refute_0_964,plain,
    ( complement(top) != zero
    | join(complement(top),join(top,complement(zero))) != join(complement(top),join(top,complement(zero)))
    | join(complement(top),join(top,complement(zero))) = join(zero,join(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(top,complement(zero))),join(complement(top),join(top,complement(zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_965,plain,
    ( complement(top) != zero
    | join(complement(top),join(top,complement(zero))) = join(zero,join(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(top,complement(zero))),join(complement(top),join(top,complement(zero)))) )],[refute_0_963,refute_0_964]) ).

cnf(refute_0_966,plain,
    join(complement(top),join(top,complement(zero))) = join(zero,join(top,complement(zero))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_965]) ).

cnf(refute_0_967,plain,
    complement(join(complement(top),join(top,complement(zero)))) = complement(join(complement(top),join(top,complement(zero)))),
    introduced(tautology,[refl,[$fot(complement(join(complement(top),join(top,complement(zero)))))]]) ).

cnf(refute_0_968,plain,
    ( complement(join(complement(top),join(top,complement(zero)))) != complement(join(complement(top),join(top,complement(zero))))
    | join(complement(top),join(top,complement(zero))) != join(zero,join(top,complement(zero)))
    | complement(join(complement(top),join(top,complement(zero)))) = complement(join(zero,join(top,complement(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),join(top,complement(zero)))),complement(join(complement(top),join(top,complement(zero))))) ),[1,0],$fot(join(zero,join(top,complement(zero))))]]) ).

cnf(refute_0_969,plain,
    ( join(complement(top),join(top,complement(zero))) != join(zero,join(top,complement(zero)))
    | complement(join(complement(top),join(top,complement(zero)))) = complement(join(zero,join(top,complement(zero)))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),join(top,complement(zero)))),complement(join(complement(top),join(top,complement(zero))))) )],[refute_0_967,refute_0_968]) ).

cnf(refute_0_970,plain,
    complement(join(complement(top),join(top,complement(zero)))) = complement(join(zero,join(top,complement(zero)))),
    inference(resolve,[$cnf( $equal(join(complement(top),join(top,complement(zero))),join(zero,join(top,complement(zero)))) )],[refute_0_966,refute_0_969]) ).

cnf(refute_0_971,plain,
    join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) = join(complement(zero),complement(join(complement(top),join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),complement(join(complement(top),join(top,complement(zero))))))]]) ).

cnf(refute_0_972,plain,
    ( complement(join(complement(top),join(top,complement(zero)))) != complement(join(zero,join(top,complement(zero))))
    | join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) != join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))
    | join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) = join(complement(zero),complement(join(zero,join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,complement(zero))))),join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))) ),[1,1],$fot(complement(join(zero,join(top,complement(zero)))))]]) ).

cnf(refute_0_973,plain,
    ( complement(join(complement(top),join(top,complement(zero)))) != complement(join(zero,join(top,complement(zero))))
    | join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) = join(complement(zero),complement(join(zero,join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,complement(zero))))),join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) = join(complement(zero),complement(join(zero,join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),join(top,complement(zero)))),complement(join(zero,join(top,complement(zero))))) )],[refute_0_970,refute_0_973]) ).

cnf(refute_0_975,plain,
    ( join(complement(zero),complement(join(complement(top),join(top,complement(zero))))) != join(complement(zero),complement(join(zero,join(top,complement(zero)))))
    | top != join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))
    | top = join(complement(zero),complement(join(zero,join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))) ),[1],$fot(join(complement(zero),complement(join(zero,join(top,complement(zero))))))]]) ).

cnf(refute_0_976,plain,
    ( top != join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))
    | top = join(complement(zero),complement(join(zero,join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,complement(zero))))),join(complement(zero),complement(join(zero,join(top,complement(zero)))))) )],[refute_0_974,refute_0_975]) ).

cnf(refute_0_977,plain,
    top = join(complement(zero),complement(join(zero,join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(join(complement(top),join(top,complement(zero)))))) )],[refute_0_962,refute_0_976]) ).

cnf(refute_0_978,plain,
    ( top != join(complement(zero),complement(join(zero,join(top,complement(zero)))))
    | join(complement(zero),complement(join(zero,join(top,complement(zero))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(zero),complement(join(zero,join(top,complement(zero)))))))]]) ).

cnf(refute_0_979,plain,
    join(complement(zero),complement(join(zero,join(top,complement(zero))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(join(zero,join(top,complement(zero)))))) )],[refute_0_977,refute_0_978]) ).

cnf(refute_0_980,plain,
    ( join(complement(zero),complement(join(zero,join(top,complement(zero))))) != top
    | meet(zero,join(zero,join(top,complement(zero)))) != complement(join(complement(zero),complement(join(zero,join(top,complement(zero))))))
    | meet(zero,join(zero,join(top,complement(zero)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),complement(join(zero,join(top,complement(zero))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_981,plain,
    ( meet(zero,join(zero,join(top,complement(zero)))) != complement(join(complement(zero),complement(join(zero,join(top,complement(zero))))))
    | meet(zero,join(zero,join(top,complement(zero)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(zero,join(top,complement(zero))))),top) )],[refute_0_979,refute_0_980]) ).

cnf(refute_0_982,plain,
    meet(zero,join(zero,join(top,complement(zero)))) = complement(top),
    inference(resolve,[$cnf( $equal(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),complement(join(zero,join(top,complement(zero))))))) )],[refute_0_958,refute_0_981]) ).

cnf(refute_0_983,plain,
    ( complement(top) != zero
    | meet(zero,join(zero,join(top,complement(zero)))) != complement(top)
    | meet(zero,join(zero,join(top,complement(zero)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(zero,join(top,complement(zero)))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_984,plain,
    ( meet(zero,join(zero,join(top,complement(zero)))) != complement(top)
    | meet(zero,join(zero,join(top,complement(zero)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_983]) ).

cnf(refute_0_985,plain,
    meet(zero,join(zero,join(top,complement(zero)))) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,join(zero,join(top,complement(zero)))),complement(top)) )],[refute_0_982,refute_0_984]) ).

cnf(refute_0_986,plain,
    ( meet(zero,join(zero,join(top,complement(zero)))) != zero
    | zero != join(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),join(zero,join(top,complement(zero))))))
    | zero = join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),join(zero,join(top,complement(zero))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_987,plain,
    ( zero != join(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),join(zero,join(top,complement(zero))))))
    | zero = join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) ),
    inference(resolve,[$cnf( $equal(meet(zero,join(zero,join(top,complement(zero)))),zero) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    zero = join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(zero,join(top,complement(zero)))),complement(join(complement(zero),join(zero,join(top,complement(zero))))))) )],[refute_0_957,refute_0_987]) ).

cnf(refute_0_989,plain,
    ( zero != join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero))))))
    | join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))]]) ).

cnf(refute_0_990,plain,
    join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = zero,
    inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    ( join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) != zero
    | meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) != complement(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))
    | meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_992,plain,
    ( meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) != complement(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))
    | meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),zero) )],[refute_0_990,refute_0_991]) ).

cnf(refute_0_993,plain,
    meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(zero,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) )],[refute_0_956,refute_0_992]) ).

cnf(refute_0_994,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | meet(top,join(complement(zero),join(zero,join(top,complement(zero))))) != complement(zero)
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) ),[1,0],$fot(complement(zero))]]) ).

cnf(refute_0_995,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(zero)) )],[refute_0_993,refute_0_994]) ).

cnf(refute_0_996,plain,
    join(complement(zero),join(zero,join(top,complement(zero)))) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(meet(top,join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) )],[refute_0_955,refute_0_995]) ).

cnf(refute_0_997,plain,
    join(top,join(top,complement(zero))) = join(top,join(top,complement(zero))),
    introduced(tautology,[refl,[$fot(join(top,join(top,complement(zero))))]]) ).

cnf(refute_0_998,plain,
    ( join(top,complement(zero)) != top
    | join(top,join(top,complement(zero))) != join(top,join(top,complement(zero)))
    | join(top,join(top,complement(zero))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,complement(zero))),join(top,join(top,complement(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_999,plain,
    ( join(top,complement(zero)) != top
    | join(top,join(top,complement(zero))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(top,complement(zero))),join(top,join(top,complement(zero)))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    join(top,join(top,complement(zero))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),top) )],[refute_0_524,refute_0_999]) ).

cnf(refute_0_1001,plain,
    join(zero,join(complement(zero),join(top,complement(zero)))) = join(top,join(top,complement(zero))),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(zero)),bind(X_62,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_1002,plain,
    join(complement(zero),join(zero,join(top,complement(zero)))) = join(zero,join(complement(zero),join(top,complement(zero)))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(zero)),bind(X_61,$fot(complement(zero))),bind(X_62,$fot(join(top,complement(zero))))]]) ).

cnf(refute_0_1003,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(zero,join(complement(zero),join(top,complement(zero))))
    | join(zero,join(complement(zero),join(top,complement(zero)))) != join(top,join(top,complement(zero)))
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,join(top,complement(zero))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),join(zero,join(top,complement(zero)))))),bind(Y,$fot(join(zero,join(complement(zero),join(top,complement(zero)))))),bind(Z,$fot(join(top,join(top,complement(zero)))))]]) ).

cnf(refute_0_1004,plain,
    ( join(zero,join(complement(zero),join(top,complement(zero)))) != join(top,join(top,complement(zero)))
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,join(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(zero,join(complement(zero),join(top,complement(zero))))) )],[refute_0_1002,refute_0_1003]) ).

cnf(refute_0_1005,plain,
    join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,join(top,complement(zero))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),join(top,complement(zero)))),join(top,join(top,complement(zero)))) )],[refute_0_1001,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(top,join(top,complement(zero)))
    | join(top,join(top,complement(zero))) != join(top,top)
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),join(zero,join(top,complement(zero)))))),bind(Y,$fot(join(top,join(top,complement(zero))))),bind(Z,$fot(join(top,top)))]]) ).

cnf(refute_0_1007,plain,
    ( join(top,join(top,complement(zero))) != join(top,top)
    | join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(top,join(top,complement(zero)))) )],[refute_0_1005,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    join(complement(zero),join(zero,join(top,complement(zero)))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(top,join(top,complement(zero))),join(top,top)) )],[refute_0_1000,refute_0_1007]) ).

cnf(refute_0_1009,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(complement(zero),join(zero,join(top,complement(zero)))) != join(top,top)
    | join(top,top) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) ),[0],$fot(join(top,top))]]) ).

cnf(refute_0_1010,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(top,top) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(top,top)) )],[refute_0_1008,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    top = join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),meet(join(top,top),join(zero,join(zero,zero))))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(join(top,top))),bind(X_5,$fot(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1012,plain,
    meet(join(top,top),join(zero,join(zero,zero))) = complement(join(complement(join(top,top)),complement(join(zero,join(zero,zero))))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(top,top))),bind(B,$fot(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1013,plain,
    top = join(meet(top,X_16),complement(join(complement(top),X_16))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(top)),bind(B,$fot(X_16))]]) ).

cnf(refute_0_1014,plain,
    ( complement(top) != zero
    | top != join(meet(top,X_16),complement(join(complement(top),X_16)))
    | top = join(meet(top,X_16),complement(join(zero,X_16))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_16),complement(join(complement(top),X_16)))) ),[1,1,0,0],$fot(zero)]]) ).

cnf(refute_0_1015,plain,
    ( top != join(meet(top,X_16),complement(join(complement(top),X_16)))
    | top = join(meet(top,X_16),complement(join(zero,X_16))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    top = join(meet(top,X_16),complement(join(zero,X_16))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,X_16),complement(join(complement(top),X_16)))) )],[refute_0_1013,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    top = join(meet(top,X_31),complement(join(zero,X_31))),
    inference(subst,[],[refute_0_1016:[bind(X_16,$fot(X_31))]]) ).

cnf(refute_0_1018,plain,
    join(X_31,zero) = join(zero,X_31),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_31)),bind(B,$fot(zero))]]) ).

cnf(refute_0_1019,plain,
    ( join(X_31,zero) != join(zero,X_31)
    | join(zero,X_31) = join(X_31,zero) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,zero))),bind(Y,$fot(join(zero,X_31)))]]) ).

cnf(refute_0_1020,plain,
    join(zero,X_31) = join(X_31,zero),
    inference(resolve,[$cnf( $equal(join(X_31,zero),join(zero,X_31)) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    ( join(zero,X_31) != join(X_31,zero)
    | top != join(meet(top,X_31),complement(join(zero,X_31)))
    | top = join(meet(top,X_31),complement(join(X_31,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_31),complement(join(zero,X_31)))) ),[1,1,0],$fot(join(X_31,zero))]]) ).

cnf(refute_0_1022,plain,
    ( top != join(meet(top,X_31),complement(join(zero,X_31)))
    | top = join(meet(top,X_31),complement(join(X_31,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,X_31),join(X_31,zero)) )],[refute_0_1020,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    top = join(meet(top,X_31),complement(join(X_31,zero))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,X_31),complement(join(zero,X_31)))) )],[refute_0_1017,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    top = join(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),
    inference(subst,[],[refute_0_1023:[bind(X_31,$fot(join(top,complement(join(zero,join(zero,zero))))))]]) ).

cnf(refute_0_1025,plain,
    meet(top,join(top,complement(join(zero,join(zero,zero))))) = complement(join(zero,complement(join(top,complement(join(zero,join(zero,zero))))))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(top,complement(join(zero,join(zero,zero))))))]]) ).

cnf(refute_0_1026,plain,
    join(zero,join(zero,zero)) = join(meet(top,join(zero,join(zero,zero))),complement(join(top,complement(join(zero,join(zero,zero)))))),
    inference(subst,[],[refute_0_365:[bind(X_15,$fot(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1027,plain,
    meet(top,join(zero,join(zero,zero))) = complement(join(zero,complement(join(zero,join(zero,zero))))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1028,plain,
    top = join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero)))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(top)),bind(B,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1029,plain,
    meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1030,plain,
    top = join(meet(top,zero),complement(join(complement(top),zero))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(top)),bind(B,$fot(zero))]]) ).

cnf(refute_0_1031,plain,
    ( complement(top) != zero
    | zero != meet(top,complement(top))
    | zero = meet(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1032,plain,
    ( zero != meet(top,complement(top))
    | zero = meet(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    zero = meet(top,zero),
    inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_369,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    ( zero != meet(top,zero)
    | meet(top,zero) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).

cnf(refute_0_1035,plain,
    meet(top,zero) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_1033,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    ( meet(top,zero) != zero
    | top != join(meet(top,zero),complement(join(complement(top),zero)))
    | top = join(zero,complement(join(complement(top),zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,zero),complement(join(complement(top),zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1037,plain,
    ( top != join(meet(top,zero),complement(join(complement(top),zero)))
    | top = join(zero,complement(join(complement(top),zero))) ),
    inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_1035,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    top = join(zero,complement(join(complement(top),zero))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,zero),complement(join(complement(top),zero)))) )],[refute_0_1030,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    join(zero,complement(top)) = join(zero,complement(top)),
    introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).

cnf(refute_0_1040,plain,
    ( complement(top) != zero
    | join(zero,complement(top)) != join(zero,complement(top))
    | join(zero,complement(top)) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1041,plain,
    ( complement(top) != zero
    | join(zero,complement(top)) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    join(zero,complement(top)) = join(zero,zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    join(complement(top),zero) = join(zero,complement(top)),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(top)))]]) ).

cnf(refute_0_1044,plain,
    ( join(complement(top),zero) != join(zero,complement(top))
    | join(zero,complement(top)) != join(zero,zero)
    | join(complement(top),zero) = join(zero,zero) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1045,plain,
    ( join(zero,complement(top)) != join(zero,zero)
    | join(complement(top),zero) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_1043,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    join(complement(top),zero) = join(zero,zero),
    inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_1042,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    complement(join(complement(top),zero)) = complement(join(complement(top),zero)),
    introduced(tautology,[refl,[$fot(complement(join(complement(top),zero)))]]) ).

cnf(refute_0_1048,plain,
    ( complement(join(complement(top),zero)) != complement(join(complement(top),zero))
    | join(complement(top),zero) != join(zero,zero)
    | complement(join(complement(top),zero)) = complement(join(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(complement(top),zero))) ),[1,0],$fot(join(zero,zero))]]) ).

cnf(refute_0_1049,plain,
    ( join(complement(top),zero) != join(zero,zero)
    | complement(join(complement(top),zero)) = complement(join(zero,zero)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(complement(top),zero))) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    complement(join(complement(top),zero)) = complement(join(zero,zero)),
    inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_1046,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(complement(top),zero))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(top),zero))))]]) ).

cnf(refute_0_1052,plain,
    ( complement(join(complement(top),zero)) != complement(join(zero,zero))
    | join(zero,complement(join(complement(top),zero))) != join(zero,complement(join(complement(top),zero)))
    | join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(complement(top),zero)))) ),[1,1],$fot(complement(join(zero,zero)))]]) ).

cnf(refute_0_1053,plain,
    ( complement(join(complement(top),zero)) != complement(join(zero,zero))
    | join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(complement(top),zero)))) )],[refute_0_1051,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(zero,zero))) )],[refute_0_1050,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    ( join(zero,complement(join(complement(top),zero))) != join(zero,complement(join(zero,zero)))
    | top != join(zero,complement(join(complement(top),zero)))
    | top = join(zero,complement(join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(join(complement(top),zero)))) ),[1],$fot(join(zero,complement(join(zero,zero))))]]) ).

cnf(refute_0_1056,plain,
    ( top != join(zero,complement(join(complement(top),zero)))
    | top = join(zero,complement(join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(zero,zero)))) )],[refute_0_1054,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    top = join(zero,complement(join(zero,zero))),
    inference(resolve,[$cnf( $equal(top,join(zero,complement(join(complement(top),zero)))) )],[refute_0_1038,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    ( top != join(zero,complement(join(zero,zero)))
    | join(zero,complement(join(zero,zero))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(join(zero,zero)))))]]) ).

cnf(refute_0_1059,plain,
    join(zero,complement(join(zero,zero))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,complement(join(zero,zero)))) )],[refute_0_1057,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    ( join(zero,complement(join(zero,zero))) != top
    | meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
    | meet(top,join(zero,zero)) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1061,plain,
    ( meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
    | meet(top,join(zero,zero)) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,zero))),top) )],[refute_0_1059,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    meet(top,join(zero,zero)) = complement(top),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) )],[refute_0_1029,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    ( complement(top) != zero
    | meet(top,join(zero,zero)) != complement(top)
    | meet(top,join(zero,zero)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1064,plain,
    ( meet(top,join(zero,zero)) != complement(top)
    | meet(top,join(zero,zero)) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    meet(top,join(zero,zero)) = zero,
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(top)) )],[refute_0_1062,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    ( meet(top,join(zero,zero)) != zero
    | top != join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))
    | top = join(zero,complement(join(complement(top),join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1067,plain,
    ( top != join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))
    | top = join(zero,complement(join(complement(top),join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_1065,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    top = join(zero,complement(join(complement(top),join(zero,zero)))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))) )],[refute_0_1028,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    join(complement(top),join(zero,zero)) = join(complement(top),join(zero,zero)),
    introduced(tautology,[refl,[$fot(join(complement(top),join(zero,zero)))]]) ).

cnf(refute_0_1070,plain,
    ( complement(top) != zero
    | join(complement(top),join(zero,zero)) != join(complement(top),join(zero,zero))
    | join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(zero,zero)),join(complement(top),join(zero,zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1071,plain,
    ( complement(top) != zero
    | join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(zero,zero)),join(complement(top),join(zero,zero))) )],[refute_0_1069,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    complement(join(complement(top),join(zero,zero))) = complement(join(complement(top),join(zero,zero))),
    introduced(tautology,[refl,[$fot(complement(join(complement(top),join(zero,zero))))]]) ).

cnf(refute_0_1074,plain,
    ( complement(join(complement(top),join(zero,zero))) != complement(join(complement(top),join(zero,zero)))
    | join(complement(top),join(zero,zero)) != join(zero,join(zero,zero))
    | complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(complement(top),join(zero,zero)))) ),[1,0],$fot(join(zero,join(zero,zero)))]]) ).

cnf(refute_0_1075,plain,
    ( join(complement(top),join(zero,zero)) != join(zero,join(zero,zero))
    | complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(complement(top),join(zero,zero)))) )],[refute_0_1073,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))),
    inference(resolve,[$cnf( $equal(join(complement(top),join(zero,zero)),join(zero,join(zero,zero))) )],[refute_0_1072,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(complement(top),join(zero,zero)))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(top),join(zero,zero)))))]]) ).

cnf(refute_0_1078,plain,
    ( complement(join(complement(top),join(zero,zero))) != complement(join(zero,join(zero,zero)))
    | join(zero,complement(join(complement(top),join(zero,zero)))) != join(zero,complement(join(complement(top),join(zero,zero))))
    | join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(complement(top),join(zero,zero))))) ),[1,1],$fot(complement(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1079,plain,
    ( complement(join(complement(top),join(zero,zero))) != complement(join(zero,join(zero,zero)))
    | join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(complement(top),join(zero,zero))))) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(zero,join(zero,zero)))) )],[refute_0_1076,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    ( join(zero,complement(join(complement(top),join(zero,zero)))) != join(zero,complement(join(zero,join(zero,zero))))
    | top != join(zero,complement(join(complement(top),join(zero,zero))))
    | top = join(zero,complement(join(zero,join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(join(complement(top),join(zero,zero))))) ),[1],$fot(join(zero,complement(join(zero,join(zero,zero)))))]]) ).

cnf(refute_0_1082,plain,
    ( top != join(zero,complement(join(complement(top),join(zero,zero))))
    | top = join(zero,complement(join(zero,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(zero,join(zero,zero))))) )],[refute_0_1080,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    top = join(zero,complement(join(zero,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(top,join(zero,complement(join(complement(top),join(zero,zero))))) )],[refute_0_1068,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    ( top != join(zero,complement(join(zero,join(zero,zero))))
    | join(zero,complement(join(zero,join(zero,zero)))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(join(zero,join(zero,zero))))))]]) ).

cnf(refute_0_1085,plain,
    join(zero,complement(join(zero,join(zero,zero)))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,complement(join(zero,join(zero,zero))))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    ( join(zero,complement(join(zero,join(zero,zero)))) != top
    | meet(top,join(zero,join(zero,zero))) != complement(join(zero,complement(join(zero,join(zero,zero)))))
    | meet(top,join(zero,join(zero,zero))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,join(zero,zero))),complement(join(zero,complement(join(zero,join(zero,zero)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1087,plain,
    ( meet(top,join(zero,join(zero,zero))) != complement(join(zero,complement(join(zero,join(zero,zero)))))
    | meet(top,join(zero,join(zero,zero))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(zero,zero)))),top) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    meet(top,join(zero,join(zero,zero))) = complement(top),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,join(zero,zero))),complement(join(zero,complement(join(zero,join(zero,zero)))))) )],[refute_0_1027,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    ( complement(top) != zero
    | meet(top,join(zero,join(zero,zero))) != complement(top)
    | meet(top,join(zero,join(zero,zero))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,join(zero,zero))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1090,plain,
    ( meet(top,join(zero,join(zero,zero))) != complement(top)
    | meet(top,join(zero,join(zero,zero))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    meet(top,join(zero,join(zero,zero))) = zero,
    inference(resolve,[$cnf( $equal(meet(top,join(zero,join(zero,zero))),complement(top)) )],[refute_0_1088,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    ( join(zero,join(zero,zero)) != join(meet(top,join(zero,join(zero,zero))),complement(join(top,complement(join(zero,join(zero,zero))))))
    | meet(top,join(zero,join(zero,zero))) != zero
    | join(zero,join(zero,zero)) = join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,zero)),join(meet(top,join(zero,join(zero,zero))),complement(join(top,complement(join(zero,join(zero,zero))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1093,plain,
    ( join(zero,join(zero,zero)) != join(meet(top,join(zero,join(zero,zero))),complement(join(top,complement(join(zero,join(zero,zero))))))
    | join(zero,join(zero,zero)) = join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,join(zero,zero))),zero) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    join(zero,join(zero,zero)) = join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,zero)),join(meet(top,join(zero,join(zero,zero))),complement(join(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_1026,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    ( join(zero,join(zero,zero)) != join(zero,complement(join(top,complement(join(zero,join(zero,zero))))))
    | join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))) = join(zero,join(zero,zero)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(zero,join(zero,zero)))),bind(Y,$fot(join(zero,complement(join(top,complement(join(zero,join(zero,zero))))))))]]) ).

cnf(refute_0_1096,plain,
    join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))) = join(zero,join(zero,zero)),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,zero)),join(zero,complement(join(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_1094,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    ( join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))) != join(zero,join(zero,zero))
    | meet(top,join(top,complement(join(zero,join(zero,zero))))) != complement(join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))))
    | meet(top,join(top,complement(join(zero,join(zero,zero))))) = complement(join(zero,join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))))) ),[1,0],$fot(join(zero,join(zero,zero)))]]) ).

cnf(refute_0_1098,plain,
    ( meet(top,join(top,complement(join(zero,join(zero,zero))))) != complement(join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))))
    | meet(top,join(top,complement(join(zero,join(zero,zero))))) = complement(join(zero,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))),join(zero,join(zero,zero))) )],[refute_0_1096,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    meet(top,join(top,complement(join(zero,join(zero,zero))))) = complement(join(zero,join(zero,zero))),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(zero,complement(join(top,complement(join(zero,join(zero,zero)))))))) )],[refute_0_1025,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    ( meet(top,join(top,complement(join(zero,join(zero,zero))))) != complement(join(zero,join(zero,zero)))
    | top != join(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))
    | top = join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) ),[1,0],$fot(complement(join(zero,join(zero,zero))))]]) ).

cnf(refute_0_1101,plain,
    ( top != join(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))
    | top = join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(zero,join(zero,zero)))) )],[refute_0_1099,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    top = join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,join(top,complement(join(zero,join(zero,zero))))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) )],[refute_0_1024,refute_0_1101]) ).

cnf(refute_0_1103,plain,
    join(complement(join(zero,join(zero,zero))),complement(join(top,top))) = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(join(top,top)))),bind(B,$fot(complement(join(zero,join(zero,zero)))))]]) ).

cnf(refute_0_1104,plain,
    join(complement(join(zero,join(zero,zero))),zero) = join(zero,complement(join(zero,join(zero,zero)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(zero)),bind(B,$fot(complement(join(zero,join(zero,zero)))))]]) ).

cnf(refute_0_1105,plain,
    ( join(complement(join(zero,join(zero,zero))),zero) != join(zero,complement(join(zero,join(zero,zero))))
    | join(zero,complement(join(zero,join(zero,zero)))) != top
    | join(complement(join(zero,join(zero,zero))),zero) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(zero,join(zero,zero))),zero))),bind(Y,$fot(join(zero,complement(join(zero,join(zero,zero)))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1106,plain,
    ( join(zero,complement(join(zero,join(zero,zero)))) != top
    | join(complement(join(zero,join(zero,zero))),zero) = top ),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),zero),join(zero,complement(join(zero,join(zero,zero))))) )],[refute_0_1104,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    join(complement(join(zero,join(zero,zero))),zero) = top,
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(zero,zero)))),top) )],[refute_0_1085,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    join(top,join(complement(join(zero,join(zero,zero))),zero)) = join(top,join(complement(join(zero,join(zero,zero))),zero)),
    introduced(tautology,[refl,[$fot(join(top,join(complement(join(zero,join(zero,zero))),zero)))]]) ).

cnf(refute_0_1109,plain,
    ( join(complement(join(zero,join(zero,zero))),zero) != top
    | join(top,join(complement(join(zero,join(zero,zero))),zero)) != join(top,join(complement(join(zero,join(zero,zero))),zero))
    | join(top,join(complement(join(zero,join(zero,zero))),zero)) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(join(zero,join(zero,zero))),zero)),join(top,join(complement(join(zero,join(zero,zero))),zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1110,plain,
    ( join(complement(join(zero,join(zero,zero))),zero) != top
    | join(top,join(complement(join(zero,join(zero,zero))),zero)) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(zero,join(zero,zero))),zero)),join(top,join(complement(join(zero,join(zero,zero))),zero))) )],[refute_0_1108,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    join(top,join(complement(join(zero,join(zero,zero))),zero)) = join(top,top),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),zero),top) )],[refute_0_1107,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    join(join(top,complement(join(zero,join(zero,zero)))),zero) = join(top,join(complement(join(zero,join(zero,zero))),zero)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(join(zero,join(zero,zero))))),bind(C,$fot(zero))]]) ).

cnf(refute_0_1113,plain,
    ( join(join(top,complement(join(zero,join(zero,zero)))),zero) != join(top,join(complement(join(zero,join(zero,zero))),zero))
    | join(top,join(complement(join(zero,join(zero,zero))),zero)) != join(top,top)
    | join(join(top,complement(join(zero,join(zero,zero)))),zero) = join(top,top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(top,complement(join(zero,join(zero,zero)))),zero))),bind(Y,$fot(join(top,join(complement(join(zero,join(zero,zero))),zero)))),bind(Z,$fot(join(top,top)))]]) ).

cnf(refute_0_1114,plain,
    ( join(top,join(complement(join(zero,join(zero,zero))),zero)) != join(top,top)
    | join(join(top,complement(join(zero,join(zero,zero)))),zero) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(top,complement(join(zero,join(zero,zero)))),zero),join(top,join(complement(join(zero,join(zero,zero))),zero))) )],[refute_0_1112,refute_0_1113]) ).

cnf(refute_0_1115,plain,
    join(join(top,complement(join(zero,join(zero,zero)))),zero) = join(top,top),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(zero,join(zero,zero))),zero)),join(top,top)) )],[refute_0_1111,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) = complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)),
    introduced(tautology,[refl,[$fot(complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))]]) ).

cnf(refute_0_1117,plain,
    ( complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) != complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))
    | join(join(top,complement(join(zero,join(zero,zero)))),zero) != join(top,top)
    | complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) = complement(join(top,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) ),[1,0],$fot(join(top,top))]]) ).

cnf(refute_0_1118,plain,
    ( join(join(top,complement(join(zero,join(zero,zero)))),zero) != join(top,top)
    | complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) = complement(join(top,top)) ),
    inference(resolve,[$cnf( $equal(complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) )],[refute_0_1116,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) = complement(join(top,top)),
    inference(resolve,[$cnf( $equal(join(join(top,complement(join(zero,join(zero,zero)))),zero),join(top,top)) )],[refute_0_1115,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),
    introduced(tautology,[refl,[$fot(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))))]]) ).

cnf(refute_0_1121,plain,
    ( complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) != complement(join(top,top))
    | join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) != join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))
    | join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(zero,join(zero,zero))),complement(join(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) ),[1,1],$fot(complement(join(top,top)))]]) ).

cnf(refute_0_1122,plain,
    ( complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)) != complement(join(top,top))
    | join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(zero,join(zero,zero))),complement(join(top,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) )],[refute_0_1120,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(zero,join(zero,zero))),complement(join(top,top))),
    inference(resolve,[$cnf( $equal(complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)),complement(join(top,top))) )],[refute_0_1119,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    ( join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) != join(complement(join(zero,join(zero,zero))),complement(join(top,top)))
    | join(complement(join(zero,join(zero,zero))),complement(join(top,top))) != join(complement(join(top,top)),complement(join(zero,join(zero,zero))))
    | join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))))),bind(Y,$fot(join(complement(join(zero,join(zero,zero))),complement(join(top,top))))),bind(Z,$fot(join(complement(join(top,top)),complement(join(zero,join(zero,zero))))))]]) ).

cnf(refute_0_1125,plain,
    ( join(complement(join(zero,join(zero,zero))),complement(join(top,top))) != join(complement(join(top,top)),complement(join(zero,join(zero,zero))))
    | join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),join(complement(join(zero,join(zero,zero))),complement(join(top,top)))) )],[refute_0_1123,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),complement(join(top,top))),join(complement(join(top,top)),complement(join(zero,join(zero,zero))))) )],[refute_0_1103,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    ( join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))) != join(complement(join(top,top)),complement(join(zero,join(zero,zero))))
    | top != join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))
    | top = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) ),[1],$fot(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))))]]) ).

cnf(refute_0_1128,plain,
    ( top != join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))
    | top = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero))),join(complement(join(top,top)),complement(join(zero,join(zero,zero))))) )],[refute_0_1126,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    top = join(complement(join(top,top)),complement(join(zero,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(top,join(complement(join(zero,join(zero,zero))),complement(join(join(top,complement(join(zero,join(zero,zero)))),zero)))) )],[refute_0_1102,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    ( top != join(complement(join(top,top)),complement(join(zero,join(zero,zero))))
    | join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(join(top,top)),complement(join(zero,join(zero,zero))))))]]) ).

cnf(refute_0_1131,plain,
    join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(join(top,top)),complement(join(zero,join(zero,zero))))) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    ( join(complement(join(top,top)),complement(join(zero,join(zero,zero)))) != top
    | meet(join(top,top),join(zero,join(zero,zero))) != complement(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))))
    | meet(join(top,top),join(zero,join(zero,zero))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(top,top),join(zero,join(zero,zero))),complement(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1133,plain,
    ( meet(join(top,top),join(zero,join(zero,zero))) != complement(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))))
    | meet(join(top,top),join(zero,join(zero,zero))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))),top) )],[refute_0_1131,refute_0_1132]) ).

cnf(refute_0_1134,plain,
    meet(join(top,top),join(zero,join(zero,zero))) = complement(top),
    inference(resolve,[$cnf( $equal(meet(join(top,top),join(zero,join(zero,zero))),complement(join(complement(join(top,top)),complement(join(zero,join(zero,zero)))))) )],[refute_0_1012,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    ( complement(top) != zero
    | meet(join(top,top),join(zero,join(zero,zero))) != complement(top)
    | meet(join(top,top),join(zero,join(zero,zero))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(top,top),join(zero,join(zero,zero))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1136,plain,
    ( meet(join(top,top),join(zero,join(zero,zero))) != complement(top)
    | meet(join(top,top),join(zero,join(zero,zero))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    meet(join(top,top),join(zero,join(zero,zero))) = zero,
    inference(resolve,[$cnf( $equal(meet(join(top,top),join(zero,join(zero,zero))),complement(top)) )],[refute_0_1134,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    ( meet(join(top,top),join(zero,join(zero,zero))) != zero
    | top != join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),meet(join(top,top),join(zero,join(zero,zero)))))
    | top = join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),meet(join(top,top),join(zero,join(zero,zero)))))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_1139,plain,
    ( top != join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),meet(join(top,top),join(zero,join(zero,zero)))))
    | top = join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) ),
    inference(resolve,[$cnf( $equal(meet(join(top,top),join(zero,join(zero,zero))),zero) )],[refute_0_1137,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    top = join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),
    inference(resolve,[$cnf( $equal(top,join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),meet(join(top,top),join(zero,join(zero,zero)))))) )],[refute_0_1011,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    join(complement(join(top,top)),top) = join(top,complement(join(top,top))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(top)),bind(B,$fot(complement(join(top,top))))]]) ).

cnf(refute_0_1142,plain,
    join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),
    introduced(tautology,[refl,[$fot(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)))]]) ).

cnf(refute_0_1143,plain,
    ( join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) != join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))
    | join(complement(join(zero,join(zero,zero))),zero) != top
    | join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(complement(join(top,top)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1144,plain,
    ( join(complement(join(zero,join(zero,zero))),zero) != top
    | join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(complement(join(top,top)),top) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))) )],[refute_0_1142,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(complement(join(top,top)),top),
    inference(resolve,[$cnf( $equal(join(complement(join(zero,join(zero,zero))),zero),top) )],[refute_0_1107,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    ( join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) != join(complement(join(top,top)),top)
    | join(complement(join(top,top)),top) != join(top,complement(join(top,top)))
    | join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(top,complement(join(top,top))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)))),bind(Y,$fot(join(complement(join(top,top)),top))),bind(Z,$fot(join(top,complement(join(top,top)))))]]) ).

cnf(refute_0_1147,plain,
    ( join(complement(join(top,top)),top) != join(top,complement(join(top,top)))
    | join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(top,complement(join(top,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),join(complement(join(top,top)),top)) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) = join(top,complement(join(top,top))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,top)),top),join(top,complement(join(top,top)))) )],[refute_0_1141,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    ( join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)) != join(top,complement(join(top,top)))
    | top != join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))
    | top = join(top,complement(join(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))) ),[1],$fot(join(top,complement(join(top,top))))]]) ).

cnf(refute_0_1150,plain,
    ( top != join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))
    | top = join(top,complement(join(top,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero)),join(top,complement(join(top,top)))) )],[refute_0_1148,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    top = join(top,complement(join(top,top))),
    inference(resolve,[$cnf( $equal(top,join(complement(join(top,top)),join(complement(join(zero,join(zero,zero))),zero))) )],[refute_0_1140,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    ( top != join(top,complement(join(top,top)))
    | join(top,complement(join(top,top))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(top,top)))))]]) ).

cnf(refute_0_1153,plain,
    join(top,complement(join(top,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(join(top,top)))) )],[refute_0_1151,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    complement(join(complement(zero),join(zero,join(top,complement(zero))))) = complement(join(complement(zero),join(zero,join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(complement(join(complement(zero),join(zero,join(top,complement(zero))))))]]) ).

cnf(refute_0_1155,plain,
    ( complement(join(complement(zero),join(zero,join(top,complement(zero))))) != complement(join(complement(zero),join(zero,join(top,complement(zero)))))
    | join(complement(zero),join(zero,join(top,complement(zero)))) != join(top,top)
    | complement(join(complement(zero),join(zero,join(top,complement(zero))))) = complement(join(top,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(complement(zero),join(zero,join(top,complement(zero)))))) ),[1,0],$fot(join(top,top))]]) ).

cnf(refute_0_1156,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(top,top)
    | complement(join(complement(zero),join(zero,join(top,complement(zero))))) = complement(join(top,top)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(complement(zero),join(zero,join(top,complement(zero)))))) )],[refute_0_1154,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    complement(join(complement(zero),join(zero,join(top,complement(zero))))) = complement(join(top,top)),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(top,top)) )],[refute_0_1008,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),
    introduced(tautology,[refl,[$fot(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))]]) ).

cnf(refute_0_1159,plain,
    ( complement(join(complement(zero),join(zero,join(top,complement(zero))))) != complement(join(top,top))
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) != join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = join(top,complement(join(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) ),[1,1],$fot(complement(join(top,top)))]]) ).

cnf(refute_0_1160,plain,
    ( complement(join(complement(zero),join(zero,join(top,complement(zero))))) != complement(join(top,top))
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = join(top,complement(join(top,top))) ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) )],[refute_0_1158,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = join(top,complement(join(top,top))),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(zero,join(top,complement(zero))))),complement(join(top,top))) )],[refute_0_1157,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    ( join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) != join(top,complement(join(top,top)))
    | join(top,complement(join(top,top))) != top
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),bind(Y,$fot(join(top,complement(join(top,top))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1163,plain,
    ( join(top,complement(join(top,top))) != top
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = top ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),join(top,complement(join(top,top)))) )],[refute_0_1161,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) = top,
    inference(resolve,[$cnf( $equal(join(top,complement(join(top,top))),top) )],[refute_0_1153,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))]]) ).

cnf(refute_0_1166,plain,
    ( complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) != complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))
    | join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) != top
    | complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1167,plain,
    ( join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))) != top
    | complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))),top) )],[refute_0_1164,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    ( complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1170,plain,
    ( complement(top) != zero
    | complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),complement(top)) )],[refute_0_1168,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1173,plain,
    ( complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) != zero
    | join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = join(complement(zero),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1174,plain,
    ( complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))) != zero
    | join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = join(complement(zero),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) )],[refute_0_1172,refute_0_1173]) ).

cnf(refute_0_1175,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = join(complement(zero),zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))),zero) )],[refute_0_1171,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    ( join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) != join(complement(zero),zero)
    | join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))))),bind(Y,$fot(join(complement(zero),zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1177,plain,
    ( join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),join(complement(zero),zero)) )],[refute_0_1175,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),zero),top) )],[refute_0_475,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    ( join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))) != top
    | join(top,top) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(top,top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) ),[1],$fot(top)]]) ).

cnf(refute_0_1180,plain,
    ( join(top,top) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(top,top) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero)))))))),top) )],[refute_0_1178,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    ( join(complement(zero),join(zero,join(top,complement(zero)))) != join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))
    | join(top,top) = top ),
    inference(resolve,[$cnf( $equal(join(top,top),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) )],[refute_0_1010,refute_0_1180]) ).

cnf(refute_0_1182,plain,
    join(top,top) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(top,complement(zero)))),join(complement(zero),complement(join(top,complement(join(complement(zero),join(zero,join(top,complement(zero))))))))) )],[refute_0_996,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    ( join(top,top) != join(top,complement(complement(one)))
    | join(top,top) != top
    | top = join(top,complement(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(top,complement(complement(one)))) ),[0],$fot(top)]]) ).

cnf(refute_0_1184,plain,
    ( join(top,top) != join(top,complement(complement(one)))
    | top = join(top,complement(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_1182,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    join(X_60,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) = join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(zero)),bind(C,$fot(join(complement(zero),complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1186,plain,
    ( top != join(zero,join(complement(zero),complement(join(top,complement(zero)))))
    | join(zero,join(complement(zero),complement(join(top,complement(zero))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(zero),complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_1187,plain,
    join(zero,join(complement(zero),complement(join(top,complement(zero))))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_494,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    ( join(X_60,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) != join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))
    | join(zero,join(complement(zero),complement(join(top,complement(zero))))) != top
    | join(X_60,top) = join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(zero,join(complement(zero),complement(join(top,complement(zero)))))),join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1189,plain,
    ( join(X_60,join(zero,join(complement(zero),complement(join(top,complement(zero)))))) != join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))
    | join(X_60,top) = join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),complement(join(top,complement(zero))))),top) )],[refute_0_1187,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    join(X_60,top) = join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(join(X_60,join(zero,join(complement(zero),complement(join(top,complement(zero)))))),join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_1185,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    join(complement(join(top,complement(zero))),join(X_60,complement(zero))) = join(complement(zero),join(complement(join(top,complement(zero))),X_60)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(complement(zero))),bind(X_60,$fot(complement(join(top,complement(zero))))),bind(X_61,$fot(X_60))]]) ).

cnf(refute_0_1192,plain,
    join(join(complement(join(top,complement(zero))),X_60),complement(zero)) = join(complement(join(top,complement(zero))),join(X_60,complement(zero))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(top,complement(zero))))),bind(B,$fot(X_60)),bind(C,$fot(complement(zero)))]]) ).

cnf(refute_0_1193,plain,
    ( join(complement(join(top,complement(zero))),join(X_60,complement(zero))) != join(complement(zero),join(complement(join(top,complement(zero))),X_60))
    | join(join(complement(join(top,complement(zero))),X_60),complement(zero)) != join(complement(join(top,complement(zero))),join(X_60,complement(zero)))
    | join(join(complement(join(top,complement(zero))),X_60),complement(zero)) = join(complement(zero),join(complement(join(top,complement(zero))),X_60)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(complement(join(top,complement(zero))),X_60),complement(zero)))),bind(Y,$fot(join(complement(join(top,complement(zero))),join(X_60,complement(zero))))),bind(Z,$fot(join(complement(zero),join(complement(join(top,complement(zero))),X_60))))]]) ).

cnf(refute_0_1194,plain,
    ( join(complement(join(top,complement(zero))),join(X_60,complement(zero))) != join(complement(zero),join(complement(join(top,complement(zero))),X_60))
    | join(join(complement(join(top,complement(zero))),X_60),complement(zero)) = join(complement(zero),join(complement(join(top,complement(zero))),X_60)) ),
    inference(resolve,[$cnf( $equal(join(join(complement(join(top,complement(zero))),X_60),complement(zero)),join(complement(join(top,complement(zero))),join(X_60,complement(zero)))) )],[refute_0_1192,refute_0_1193]) ).

cnf(refute_0_1195,plain,
    join(join(complement(join(top,complement(zero))),X_60),complement(zero)) = join(complement(zero),join(complement(join(top,complement(zero))),X_60)),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(X_60,complement(zero))),join(complement(zero),join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1191,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) = join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))),
    introduced(tautology,[refl,[$fot(join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))))]]) ).

cnf(refute_0_1197,plain,
    ( join(join(complement(join(top,complement(zero))),X_60),complement(zero)) != join(complement(zero),join(complement(join(top,complement(zero))),X_60))
    | join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) != join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero)))
    | join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))),join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero)))) ),[1,1],$fot(join(complement(zero),join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1198,plain,
    ( join(join(complement(join(top,complement(zero))),X_60),complement(zero)) != join(complement(zero),join(complement(join(top,complement(zero))),X_60))
    | join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))),join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero)))) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(join(complement(join(top,complement(zero))),X_60),complement(zero)),join(complement(zero),join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1195,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) = join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))),
    inference(subst,[],[refute_0_19:[bind(A,$fot(complement(zero))),bind(X_60,$fot(zero)),bind(X_61,$fot(join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1201,plain,
    ( join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) != join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero)))
    | join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))))),bind(Y,$fot(join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))))),bind(Z,$fot(join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))))]]) ).

cnf(refute_0_1202,plain,
    ( join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))),join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero)))) )],[refute_0_1200,refute_0_1201]) ).

cnf(refute_0_1203,plain,
    join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(zero,join(join(complement(join(top,complement(zero))),X_60),complement(zero))),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1199,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    join(complement(join(top,complement(zero))),join(X_60,zero)) = join(zero,join(complement(join(top,complement(zero))),X_60)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(zero)),bind(X_60,$fot(complement(join(top,complement(zero))))),bind(X_61,$fot(X_60))]]) ).

cnf(refute_0_1205,plain,
    join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),
    introduced(tautology,[refl,[$fot(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))))]]) ).

cnf(refute_0_1206,plain,
    ( join(complement(join(top,complement(zero))),join(X_60,zero)) != join(zero,join(complement(join(top,complement(zero))),X_60))
    | join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) != join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero)))
    | join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero)))) ),[1,1],$fot(join(zero,join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1207,plain,
    ( join(complement(join(top,complement(zero))),join(X_60,zero)) != join(zero,join(complement(join(top,complement(zero))),X_60))
    | join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero)))) )],[refute_0_1205,refute_0_1206]) ).

cnf(refute_0_1208,plain,
    join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),join(X_60,zero)),join(zero,join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1204,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    ( join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) != join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60)))
    | join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))))),bind(Y,$fot(join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))))),bind(Z,$fot(join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))))]]) ).

cnf(refute_0_1210,plain,
    ( join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1208,refute_0_1209]) ).

cnf(refute_0_1211,plain,
    join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,join(complement(join(top,complement(zero))),X_60))),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1203,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) = join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),
    inference(subst,[],[refute_0_19:[bind(A,$fot(join(X_60,zero))),bind(X_60,$fot(complement(zero))),bind(X_61,$fot(complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_1213,plain,
    ( join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) != join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero)))
    | join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))))),bind(Y,$fot(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))))),bind(Z,$fot(join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))))]]) ).

cnf(refute_0_1214,plain,
    ( join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))),join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero)))) )],[refute_0_1212,refute_0_1213]) ).

cnf(refute_0_1215,plain,
    join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(zero))),join(X_60,zero))),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1211,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    ( join(X_60,top) != join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))
    | join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(X_60,top) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,top),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) ),[0],$fot(join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1217,plain,
    ( join(X_60,top) != join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))
    | join(X_60,top) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero))))),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1215,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    join(X_60,top) = join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),
    inference(resolve,[$cnf( $equal(join(X_60,top),join(join(X_60,zero),join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_1190,refute_0_1217]) ).

cnf(refute_0_1219,plain,
    join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) = join(top,join(complement(join(top,complement(zero))),X_60)),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(zero)),bind(X_62,$fot(join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1220,plain,
    ( join(X_60,top) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))) != join(top,join(complement(join(top,complement(zero))),X_60))
    | join(X_60,top) = join(top,join(complement(join(top,complement(zero))),X_60)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,top),join(top,join(complement(join(top,complement(zero))),X_60))) ),[0],$fot(join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))))]]) ).

cnf(refute_0_1221,plain,
    ( join(X_60,top) != join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))
    | join(X_60,top) = join(top,join(complement(join(top,complement(zero))),X_60)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60))),join(top,join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1219,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    join(X_60,top) = join(top,join(complement(join(top,complement(zero))),X_60)),
    inference(resolve,[$cnf( $equal(join(X_60,top),join(zero,join(complement(zero),join(complement(join(top,complement(zero))),X_60)))) )],[refute_0_1218,refute_0_1221]) ).

cnf(refute_0_1223,plain,
    join(top,join(zero,X_62)) = join(join(top,zero),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(zero)),bind(C,$fot(X_62))]]) ).

cnf(refute_0_1224,plain,
    top = join(top,complement(top)),
    inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).

cnf(refute_0_1225,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_1226,plain,
    ( top != join(top,complement(top))
    | top = join(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1225]) ).

cnf(refute_0_1227,plain,
    top = join(top,zero),
    inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_1224,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    ( top != join(top,zero)
    | join(top,zero) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).

cnf(refute_0_1229,plain,
    join(top,zero) = top,
    inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_1227,refute_0_1228]) ).

cnf(refute_0_1230,plain,
    ( join(top,join(zero,X_62)) != join(join(top,zero),X_62)
    | join(top,zero) != top
    | join(top,join(zero,X_62)) = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_62)),join(join(top,zero),X_62)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1231,plain,
    ( join(top,join(zero,X_62)) != join(join(top,zero),X_62)
    | join(top,join(zero,X_62)) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_1229,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    join(top,join(zero,X_62)) = join(top,X_62),
    inference(resolve,[$cnf( $equal(join(top,join(zero,X_62)),join(join(top,zero),X_62)) )],[refute_0_1223,refute_0_1231]) ).

cnf(refute_0_1233,plain,
    join(top,join(zero,X_60)) = join(top,X_60),
    inference(subst,[],[refute_0_1232:[bind(X_62,$fot(X_60))]]) ).

cnf(refute_0_1234,plain,
    join(complement(join(top,complement(zero))),X_60) = join(complement(join(top,complement(zero))),X_60),
    introduced(tautology,[refl,[$fot(join(complement(join(top,complement(zero))),X_60))]]) ).

cnf(refute_0_1235,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(complement(join(top,complement(zero))),X_60) != join(complement(join(top,complement(zero))),X_60)
    | join(complement(join(top,complement(zero))),X_60) = join(zero,X_60) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,complement(zero))),X_60),join(complement(join(top,complement(zero))),X_60)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1236,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(complement(join(top,complement(zero))),X_60) = join(zero,X_60) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),X_60),join(complement(join(top,complement(zero))),X_60)) )],[refute_0_1234,refute_0_1235]) ).

cnf(refute_0_1237,plain,
    join(complement(join(top,complement(zero))),X_60) = join(zero,X_60),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),zero) )],[refute_0_531,refute_0_1236]) ).

cnf(refute_0_1238,plain,
    join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,join(complement(join(top,complement(zero))),X_60)),
    introduced(tautology,[refl,[$fot(join(top,join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1239,plain,
    ( join(complement(join(top,complement(zero))),X_60) != join(zero,X_60)
    | join(top,join(complement(join(top,complement(zero))),X_60)) != join(top,join(complement(join(top,complement(zero))),X_60))
    | join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,join(zero,X_60)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),X_60)),join(top,join(complement(join(top,complement(zero))),X_60))) ),[1,1],$fot(join(zero,X_60))]]) ).

cnf(refute_0_1240,plain,
    ( join(complement(join(top,complement(zero))),X_60) != join(zero,X_60)
    | join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,join(zero,X_60)) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),X_60)),join(top,join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1238,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,join(zero,X_60)),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),X_60),join(zero,X_60)) )],[refute_0_1237,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    ( join(top,join(complement(join(top,complement(zero))),X_60)) != join(top,join(zero,X_60))
    | join(top,join(zero,X_60)) != join(top,X_60)
    | join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,X_60) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,join(complement(join(top,complement(zero))),X_60)))),bind(Y,$fot(join(top,join(zero,X_60)))),bind(Z,$fot(join(top,X_60)))]]) ).

cnf(refute_0_1243,plain,
    ( join(top,join(zero,X_60)) != join(top,X_60)
    | join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,X_60) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),X_60)),join(top,join(zero,X_60))) )],[refute_0_1241,refute_0_1242]) ).

cnf(refute_0_1244,plain,
    join(top,join(complement(join(top,complement(zero))),X_60)) = join(top,X_60),
    inference(resolve,[$cnf( $equal(join(top,join(zero,X_60)),join(top,X_60)) )],[refute_0_1233,refute_0_1243]) ).

cnf(refute_0_1245,plain,
    ( join(X_60,top) != join(top,join(complement(join(top,complement(zero))),X_60))
    | join(top,join(complement(join(top,complement(zero))),X_60)) != join(top,X_60)
    | join(X_60,top) = join(top,X_60) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,top),join(top,X_60)) ),[0],$fot(join(top,join(complement(join(top,complement(zero))),X_60)))]]) ).

cnf(refute_0_1246,plain,
    ( join(X_60,top) != join(top,join(complement(join(top,complement(zero))),X_60))
    | join(X_60,top) = join(top,X_60) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,complement(zero))),X_60)),join(top,X_60)) )],[refute_0_1244,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    join(X_60,top) = join(top,X_60),
    inference(resolve,[$cnf( $equal(join(X_60,top),join(top,join(complement(join(top,complement(zero))),X_60))) )],[refute_0_1222,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    ( join(X_60,top) != join(top,X_60)
    | join(top,X_60) = join(X_60,top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,top))),bind(Y,$fot(join(top,X_60)))]]) ).

cnf(refute_0_1249,plain,
    join(top,X_60) = join(X_60,top),
    inference(resolve,[$cnf( $equal(join(X_60,top),join(top,X_60)) )],[refute_0_1247,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    join(top,one) = join(one,top),
    inference(subst,[],[refute_0_1249:[bind(X_60,$fot(one))]]) ).

cnf(refute_0_1251,plain,
    complement(complement(one)) = one,
    inference(subst,[],[refute_0_805:[bind(X_54,$fot(one))]]) ).

cnf(refute_0_1252,plain,
    join(top,complement(complement(one))) = join(top,complement(complement(one))),
    introduced(tautology,[refl,[$fot(join(top,complement(complement(one))))]]) ).

cnf(refute_0_1253,plain,
    ( complement(complement(one)) != one
    | join(top,complement(complement(one))) != join(top,complement(complement(one)))
    | join(top,complement(complement(one))) = join(top,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(complement(one))),join(top,complement(complement(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1254,plain,
    ( complement(complement(one)) != one
    | join(top,complement(complement(one))) = join(top,one) ),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(one))),join(top,complement(complement(one)))) )],[refute_0_1252,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    join(top,complement(complement(one))) = join(top,one),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    ( join(top,complement(complement(one))) != join(top,one)
    | join(top,one) != join(one,top)
    | join(top,complement(complement(one))) = join(one,top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,complement(complement(one))))),bind(Y,$fot(join(top,one))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_1257,plain,
    ( join(top,one) != join(one,top)
    | join(top,complement(complement(one))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(one))),join(top,one)) )],[refute_0_1255,refute_0_1256]) ).

cnf(refute_0_1258,plain,
    join(top,complement(complement(one))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,one),join(one,top)) )],[refute_0_1250,refute_0_1257]) ).

cnf(refute_0_1259,plain,
    ( join(top,complement(complement(one))) != join(one,top)
    | top != join(top,complement(complement(one)))
    | top = join(one,top) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(complement(one)))) ),[1],$fot(join(one,top))]]) ).

cnf(refute_0_1260,plain,
    ( top != join(top,complement(complement(one)))
    | top = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(one))),join(one,top)) )],[refute_0_1258,refute_0_1259]) ).

cnf(refute_0_1261,plain,
    ( join(top,top) != join(top,complement(complement(one)))
    | top = join(one,top) ),
    inference(resolve,[$cnf( $equal(top,join(top,complement(complement(one)))) )],[refute_0_1184,refute_0_1260]) ).

cnf(refute_0_1262,plain,
    top = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,top),join(top,complement(complement(one)))) )],[refute_0_954,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    ( top != join(one,top)
    | join(one,top) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,top)))]]) ).

cnf(refute_0_1264,plain,
    join(one,top) = top,
    inference(resolve,[$cnf( $equal(top,join(one,top)) )],[refute_0_1262,refute_0_1263]) ).

cnf(refute_0_1265,plain,
    converse(join(one,top)) = converse(join(one,top)),
    introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).

cnf(refute_0_1266,plain,
    ( converse(join(one,top)) != converse(join(one,top))
    | join(one,top) != top
    | converse(join(one,top)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1267,plain,
    ( join(one,top) != top
    | converse(join(one,top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1265,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    converse(join(one,top)) = converse(top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1264,refute_0_1267]) ).

cnf(refute_0_1269,plain,
    converse(join(converse(one),X_20)) = join(one,converse(X_20)),
    inference(subst,[],[refute_0_115:[bind(A,$fot(one))]]) ).

cnf(refute_0_1270,plain,
    ( converse(join(converse(one),X_20)) != join(one,converse(X_20))
    | converse(one) != one
    | converse(join(one,X_20)) = join(one,converse(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_20)),join(one,converse(X_20))) ),[0,0,0],$fot(one)]]) ).

cnf(refute_0_1271,plain,
    ( converse(join(converse(one),X_20)) != join(one,converse(X_20))
    | converse(join(one,X_20)) = join(one,converse(X_20)) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_213,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    converse(join(one,X_20)) = join(one,converse(X_20)),
    inference(resolve,[$cnf( $equal(converse(join(converse(one),X_20)),join(one,converse(X_20))) )],[refute_0_1269,refute_0_1271]) ).

cnf(refute_0_1273,plain,
    ( converse(join(one,X_20)) != join(one,converse(X_20))
    | join(one,converse(X_20)) = converse(join(one,X_20)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_20)))),bind(Y,$fot(join(one,converse(X_20))))]]) ).

cnf(refute_0_1274,plain,
    join(one,converse(X_20)) = converse(join(one,X_20)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_20)),join(one,converse(X_20))) )],[refute_0_1272,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    join(one,converse(top)) = converse(join(one,top)),
    inference(subst,[],[refute_0_1274:[bind(X_20,$fot(top))]]) ).

cnf(refute_0_1276,plain,
    ( converse(join(one,top)) != converse(top)
    | join(one,converse(top)) != converse(join(one,top))
    | join(one,converse(top)) = converse(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1277,plain,
    ( converse(join(one,top)) != converse(top)
    | join(one,converse(top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1275,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    join(one,converse(top)) = converse(top),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1268,refute_0_1277]) ).

cnf(refute_0_1279,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = join(composition(A,join(one,join(one,one))),composition(converse(top),join(one,join(one,one)))),
    inference(subst,[],[composition_distributivity_7:[bind(B,$fot(converse(top))),bind(C,$fot(join(one,join(one,one))))]]) ).

cnf(refute_0_1280,plain,
    converse(composition(converse(join(one,join(one,one))),top)) = composition(converse(top),converse(converse(join(one,join(one,one))))),
    inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(join(one,join(one,one))))),bind(B,$fot(top))]]) ).

cnf(refute_0_1281,plain,
    join(complement(zero),composition(converse(join(one,one)),complement(composition(join(one,one),zero)))) = complement(zero),
    inference(subst,[],[refute_0_151:[bind(A,$fot(join(one,one))),bind(B,$fot(zero))]]) ).

cnf(refute_0_1282,plain,
    join(complement(top),composition(converse(X_7),complement(composition(X_7,top)))) = complement(top),
    inference(subst,[],[refute_0_151:[bind(A,$fot(X_7)),bind(B,$fot(top))]]) ).

cnf(refute_0_1283,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(X_7),complement(composition(X_7,top)))) != complement(top)
    | join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_7),complement(composition(X_7,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_1284,plain,
    ( join(complement(top),composition(converse(X_7),complement(composition(X_7,top)))) != complement(top)
    | join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1283]) ).

cnf(refute_0_1285,plain,
    join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_7),complement(composition(X_7,top)))),complement(top)) )],[refute_0_1282,refute_0_1284]) ).

cnf(refute_0_1286,plain,
    ( complement(top) != zero
    | join(zero,composition(converse(X_7),complement(composition(X_7,top)))) != complement(top)
    | join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_7),complement(composition(X_7,top)))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1287,plain,
    ( join(zero,composition(converse(X_7),complement(composition(X_7,top)))) != complement(top)
    | join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1286]) ).

cnf(refute_0_1288,plain,
    join(zero,composition(converse(X_7),complement(composition(X_7,top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_7),complement(composition(X_7,top)))),complement(top)) )],[refute_0_1285,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) = zero,
    inference(subst,[],[refute_0_1288:[bind(X_7,$fot(converse(A)))]]) ).

cnf(refute_0_1290,plain,
    ( converse(converse(A)) != A
    | join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) != zero
    | join(zero,composition(A,complement(composition(converse(A),top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))),zero) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_1291,plain,
    ( join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) != zero
    | join(zero,composition(A,complement(composition(converse(A),top)))) = zero ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    join(zero,composition(A,complement(composition(converse(A),top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))),zero) )],[refute_0_1289,refute_0_1291]) ).

cnf(refute_0_1293,plain,
    join(zero,composition(one,complement(composition(converse(one),top)))) = zero,
    inference(subst,[],[refute_0_1292:[bind(A,$fot(one))]]) ).

cnf(refute_0_1294,plain,
    top = composition(converse(one),top),
    inference(subst,[],[refute_0_182:[bind(X_68,$fot(top))]]) ).

cnf(refute_0_1295,plain,
    ( top != composition(converse(one),top)
    | composition(converse(one),top) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(converse(one),top)))]]) ).

cnf(refute_0_1296,plain,
    composition(converse(one),top) = top,
    inference(resolve,[$cnf( $equal(top,composition(converse(one),top)) )],[refute_0_1294,refute_0_1295]) ).

cnf(refute_0_1297,plain,
    ( composition(converse(one),top) != top
    | join(zero,composition(one,complement(composition(converse(one),top)))) != zero
    | join(zero,composition(one,complement(top))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(one,complement(composition(converse(one),top)))),zero) ),[0,1,1,0],$fot(top)]]) ).

cnf(refute_0_1298,plain,
    ( join(zero,composition(one,complement(composition(converse(one),top)))) != zero
    | join(zero,composition(one,complement(top))) = zero ),
    inference(resolve,[$cnf( $equal(composition(converse(one),top),top) )],[refute_0_1296,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    join(zero,composition(one,complement(top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(one,complement(composition(converse(one),top)))),zero) )],[refute_0_1293,refute_0_1298]) ).

cnf(refute_0_1300,plain,
    join(zero,composition(one,zero)) = composition(join(one,one),zero),
    inference(subst,[],[refute_0_226:[bind(B,$fot(one)),bind(C,$fot(zero))]]) ).

cnf(refute_0_1301,plain,
    composition(one,complement(top)) = composition(one,complement(top)),
    introduced(tautology,[refl,[$fot(composition(one,complement(top)))]]) ).

cnf(refute_0_1302,plain,
    ( complement(top) != zero
    | composition(one,complement(top)) != composition(one,complement(top))
    | composition(one,complement(top)) = composition(one,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1303,plain,
    ( complement(top) != zero
    | composition(one,complement(top)) = composition(one,zero) ),
    inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) )],[refute_0_1301,refute_0_1302]) ).

cnf(refute_0_1304,plain,
    composition(one,complement(top)) = composition(one,zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    join(zero,composition(one,complement(top))) = join(zero,composition(one,complement(top))),
    introduced(tautology,[refl,[$fot(join(zero,composition(one,complement(top))))]]) ).

cnf(refute_0_1306,plain,
    ( composition(one,complement(top)) != composition(one,zero)
    | join(zero,composition(one,complement(top))) != join(zero,composition(one,complement(top)))
    | join(zero,composition(one,complement(top))) = join(zero,composition(one,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(one,complement(top))),join(zero,composition(one,complement(top)))) ),[1,1],$fot(composition(one,zero))]]) ).

cnf(refute_0_1307,plain,
    ( composition(one,complement(top)) != composition(one,zero)
    | join(zero,composition(one,complement(top))) = join(zero,composition(one,zero)) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(one,complement(top))),join(zero,composition(one,complement(top)))) )],[refute_0_1305,refute_0_1306]) ).

cnf(refute_0_1308,plain,
    join(zero,composition(one,complement(top))) = join(zero,composition(one,zero)),
    inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,zero)) )],[refute_0_1304,refute_0_1307]) ).

cnf(refute_0_1309,plain,
    ( join(zero,composition(one,complement(top))) != join(zero,composition(one,zero))
    | join(zero,composition(one,zero)) != composition(join(one,one),zero)
    | join(zero,composition(one,complement(top))) = composition(join(one,one),zero) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,composition(one,complement(top))))),bind(Y,$fot(join(zero,composition(one,zero)))),bind(Z,$fot(composition(join(one,one),zero)))]]) ).

cnf(refute_0_1310,plain,
    ( join(zero,composition(one,zero)) != composition(join(one,one),zero)
    | join(zero,composition(one,complement(top))) = composition(join(one,one),zero) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(one,complement(top))),join(zero,composition(one,zero))) )],[refute_0_1308,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    join(zero,composition(one,complement(top))) = composition(join(one,one),zero),
    inference(resolve,[$cnf( $equal(join(zero,composition(one,zero)),composition(join(one,one),zero)) )],[refute_0_1300,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    ( join(zero,composition(one,complement(top))) != composition(join(one,one),zero)
    | join(zero,composition(one,complement(top))) != zero
    | composition(join(one,one),zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(one,complement(top))),zero) ),[0],$fot(composition(join(one,one),zero))]]) ).

cnf(refute_0_1313,plain,
    ( join(zero,composition(one,complement(top))) != zero
    | composition(join(one,one),zero) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(one,complement(top))),composition(join(one,one),zero)) )],[refute_0_1311,refute_0_1312]) ).

cnf(refute_0_1314,plain,
    composition(join(one,one),zero) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(one,complement(top))),zero) )],[refute_0_1299,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    ( composition(join(one,one),zero) != zero
    | join(complement(zero),composition(converse(join(one,one)),complement(composition(join(one,one),zero)))) != complement(zero)
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(composition(join(one,one),zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_1316,plain,
    ( join(complement(zero),composition(converse(join(one,one)),complement(composition(join(one,one),zero)))) != complement(zero)
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),zero),zero) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    join(complement(zero),composition(converse(join(one,one)),complement(zero))) = complement(zero),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(composition(join(one,one),zero)))),complement(zero)) )],[refute_0_1281,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),
    inference(subst,[],[refute_0_365:[bind(X_15,$fot(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1319,plain,
    meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1320,plain,
    zero = join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(zero)),bind(B,$fot(join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1321,plain,
    top = join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),meet(zero,join(top,complement(join(top,complement(zero))))))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(zero)),bind(X_5,$fot(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1322,plain,
    ( meet(zero,join(top,complement(join(top,complement(zero))))) != complement(join(top,complement(zero)))
    | top != join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),meet(zero,join(top,complement(join(top,complement(zero)))))))
    | top = join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),meet(zero,join(top,complement(join(top,complement(zero)))))))) ),[1,1,1],$fot(complement(join(top,complement(zero))))]]) ).

cnf(refute_0_1323,plain,
    ( top != join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),meet(zero,join(top,complement(join(top,complement(zero)))))))
    | top = join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))) )],[refute_0_409,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    top = join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(top,join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),meet(zero,join(top,complement(join(top,complement(zero)))))))) )],[refute_0_1321,refute_0_1323]) ).

cnf(refute_0_1325,plain,
    join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))) = join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(join(top,complement(zero))))),bind(B,$fot(complement(join(top,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_1326,plain,
    join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) = join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1327,plain,
    ( join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))) != join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))
    | join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) != join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))
    | join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))),join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))) ),[1,1],$fot(join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_1328,plain,
    ( join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))) != join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))
    | join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))),join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))) )],[refute_0_1326,refute_0_1327]) ).

cnf(refute_0_1329,plain,
    join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) )],[refute_0_1325,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    ( join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))) != join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))
    | top != join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))
    | top = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))) ),[1],$fot(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1331,plain,
    ( top != join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))
    | top = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero))))),join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) )],[refute_0_1329,refute_0_1330]) ).

cnf(refute_0_1332,plain,
    top = join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),
    inference(resolve,[$cnf( $equal(top,join(complement(zero),join(complement(join(top,complement(join(top,complement(zero))))),complement(join(top,complement(zero)))))) )],[refute_0_1324,refute_0_1331]) ).

cnf(refute_0_1333,plain,
    ( top != join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))
    | join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1334,plain,
    join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) )],[refute_0_1332,refute_0_1333]) ).

cnf(refute_0_1335,plain,
    ( join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) != top
    | zero != join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))
    | zero = join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1336,plain,
    ( zero != join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))
    | zero = join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),top) )],[refute_0_1334,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    zero = join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1320,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) = complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),
    inference(subst,[],[refute_0_297:[bind(A,$fot(zero)),bind(X_4,$fot(join(top,complement(zero)))),bind(X_5,$fot(join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1339,plain,
    join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),
    introduced(tautology,[refl,[$fot(join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1340,plain,
    ( join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))
    | meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) != complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))
    | join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) ),[1,1],$fot(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1341,plain,
    ( meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))) != complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))
    | join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1339,refute_0_1340]) ).

cnf(refute_0_1342,plain,
    join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) )],[refute_0_1338,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1344,plain,
    ( complement(top) != zero
    | join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))
    | join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1345,plain,
    ( complement(top) != zero
    | join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1343,refute_0_1344]) ).

cnf(refute_0_1346,plain,
    join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1345]) ).

cnf(refute_0_1347,plain,
    ( join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))
    | join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))),bind(Y,$fot(join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))),bind(Z,$fot(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))]]) ).

cnf(refute_0_1348,plain,
    ( join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1346,refute_0_1347]) ).

cnf(refute_0_1349,plain,
    join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(join(zero,meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1342,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) = join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1351,plain,
    ( join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) != join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))
    | join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))))),bind(Z,$fot(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))]]) ).

cnf(refute_0_1352,plain,
    ( join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))) != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)),join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1350,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero)))))))),join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1349,refute_0_1352]) ).

cnf(refute_0_1354,plain,
    ( join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)) != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | zero != join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top))
    | zero = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top))) ),[1],$fot(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1355,plain,
    ( zero != join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top))
    | zero = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top)),join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1353,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    zero = join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(complement(join(top,complement(zero))),complement(join(top,complement(join(top,complement(zero))))))),complement(top))) )],[refute_0_1337,refute_0_1355]) ).

cnf(refute_0_1357,plain,
    ( zero != join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))]]) ).

cnf(refute_0_1358,plain,
    join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = zero,
    inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1356,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    ( join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != zero
    | meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1360,plain,
    ( meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),zero) )],[refute_0_1358,refute_0_1359]) ).

cnf(refute_0_1361,plain,
    meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(zero,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1319,refute_0_1360]) ).

cnf(refute_0_1362,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(zero)
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) ),[1,0],$fot(complement(zero))]]) ).

cnf(refute_0_1363,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)) )],[refute_0_1361,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) )],[refute_0_1318,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    meet(top,top) = complement(join(zero,complement(top))),
    inference(subst,[],[refute_0_335:[bind(B,$fot(top))]]) ).

cnf(refute_0_1366,plain,
    ( complement(top) != zero
    | meet(top,top) != complement(join(zero,complement(top)))
    | meet(top,top) = complement(join(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).

cnf(refute_0_1367,plain,
    ( meet(top,top) != complement(join(zero,complement(top)))
    | meet(top,top) = complement(join(zero,zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1366]) ).

cnf(refute_0_1368,plain,
    meet(top,top) = complement(join(zero,zero)),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_1365,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,complement(zero)))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(zero)))))]]) ).

cnf(refute_0_1370,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(zero,complement(join(top,complement(zero)))) != join(zero,complement(join(top,complement(zero))))
    | join(zero,complement(join(top,complement(zero)))) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1371,plain,
    ( complement(join(top,complement(zero))) != zero
    | join(zero,complement(join(top,complement(zero)))) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) )],[refute_0_1369,refute_0_1370]) ).

cnf(refute_0_1372,plain,
    join(zero,complement(join(top,complement(zero)))) = join(zero,zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),zero) )],[refute_0_531,refute_0_1371]) ).

cnf(refute_0_1373,plain,
    ( join(zero,complement(join(top,complement(zero)))) != join(zero,zero)
    | zero != join(zero,complement(join(top,complement(zero))))
    | zero = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) ),[1],$fot(join(zero,zero))]]) ).

cnf(refute_0_1374,plain,
    ( zero != join(zero,complement(join(top,complement(zero))))
    | zero = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,zero)) )],[refute_0_1372,refute_0_1373]) ).

cnf(refute_0_1375,plain,
    zero = join(zero,zero),
    inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_0_396,refute_0_1374]) ).

cnf(refute_0_1376,plain,
    ( zero != join(zero,zero)
    | join(zero,zero) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1377,plain,
    join(zero,zero) = zero,
    inference(resolve,[$cnf( $equal(zero,join(zero,zero)) )],[refute_0_1375,refute_0_1376]) ).

cnf(refute_0_1378,plain,
    complement(join(zero,zero)) = complement(join(zero,zero)),
    introduced(tautology,[refl,[$fot(complement(join(zero,zero)))]]) ).

cnf(refute_0_1379,plain,
    ( complement(join(zero,zero)) != complement(join(zero,zero))
    | join(zero,zero) != zero
    | complement(join(zero,zero)) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1380,plain,
    ( join(zero,zero) != zero
    | complement(join(zero,zero)) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) )],[refute_0_1378,refute_0_1379]) ).

cnf(refute_0_1381,plain,
    complement(join(zero,zero)) = complement(zero),
    inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_1377,refute_0_1380]) ).

cnf(refute_0_1382,plain,
    ( complement(join(zero,zero)) != complement(zero)
    | meet(top,top) != complement(join(zero,zero))
    | meet(top,top) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) ),[1],$fot(complement(zero))]]) ).

cnf(refute_0_1383,plain,
    ( meet(top,top) != complement(join(zero,zero))
    | meet(top,top) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(zero)) )],[refute_0_1381,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    meet(top,top) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_1368,refute_0_1383]) ).

cnf(refute_0_1385,plain,
    meet(top,join(top,complement(join(top,complement(zero))))) = meet(top,join(top,complement(join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(meet(top,join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1386,plain,
    ( join(top,complement(join(top,complement(zero)))) != top
    | meet(top,join(top,complement(join(top,complement(zero))))) != meet(top,join(top,complement(join(top,complement(zero)))))
    | meet(top,join(top,complement(join(top,complement(zero))))) = meet(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(join(top,complement(zero))))),meet(top,join(top,complement(join(top,complement(zero)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1387,plain,
    ( join(top,complement(join(top,complement(zero)))) != top
    | meet(top,join(top,complement(join(top,complement(zero))))) = meet(top,top) ),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(join(top,complement(zero))))),meet(top,join(top,complement(join(top,complement(zero)))))) )],[refute_0_1385,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    meet(top,join(top,complement(join(top,complement(zero))))) = meet(top,top),
    inference(resolve,[$cnf( $equal(join(top,complement(join(top,complement(zero)))),top) )],[refute_0_507,refute_0_1387]) ).

cnf(refute_0_1389,plain,
    meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),
    introduced(tautology,[refl,[$fot(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))]]) ).

cnf(refute_0_1390,plain,
    ( join(top,complement(zero)) != top
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) != meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,join(top,complement(join(top,complement(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1391,plain,
    ( join(top,complement(zero)) != top
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,join(top,complement(join(top,complement(zero))))) ),
    inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) )],[refute_0_1389,refute_0_1390]) ).

cnf(refute_0_1392,plain,
    meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,join(top,complement(join(top,complement(zero))))),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),top) )],[refute_0_524,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    ( meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) != meet(top,join(top,complement(join(top,complement(zero)))))
    | meet(top,join(top,complement(join(top,complement(zero))))) != meet(top,top)
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),bind(Y,$fot(meet(top,join(top,complement(join(top,complement(zero))))))),bind(Z,$fot(meet(top,top)))]]) ).

cnf(refute_0_1394,plain,
    ( meet(top,join(top,complement(join(top,complement(zero))))) != meet(top,top)
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,top) ),
    inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),meet(top,join(top,complement(join(top,complement(zero)))))) )],[refute_0_1392,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = meet(top,top),
    inference(resolve,[$cnf( $equal(meet(top,join(top,complement(join(top,complement(zero))))),meet(top,top)) )],[refute_0_1388,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    ( meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) != meet(top,top)
    | meet(top,top) != complement(zero)
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = complement(zero) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(complement(zero)))]]) ).

cnf(refute_0_1397,plain,
    ( meet(top,top) != complement(zero)
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),meet(top,top)) )],[refute_0_1395,refute_0_1396]) ).

cnf(refute_0_1398,plain,
    meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_1384,refute_0_1397]) ).

cnf(refute_0_1399,plain,
    join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))]]) ).

cnf(refute_0_1400,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))
    | meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) != complement(zero)
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) ),[1,1],$fot(complement(zero))]]) ).

cnf(refute_0_1401,plain,
    ( meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))) != complement(zero)
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) )],[refute_0_1399,refute_0_1400]) ).

cnf(refute_0_1402,plain,
    join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) = join(complement(zero),complement(zero)),
    inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))),complement(zero)) )],[refute_0_1398,refute_0_1401]) ).

cnf(refute_0_1403,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(zero))
    | join(complement(zero),complement(zero)) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) ),[0],$fot(join(complement(zero),complement(zero)))]]) ).

cnf(refute_0_1404,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),complement(zero)) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(zero))) )],[refute_0_1402,refute_0_1403]) ).

cnf(refute_0_1405,plain,
    top = join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(top)),bind(X_5,$fot(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1406,plain,
    ( meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(zero)
    | top != join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | top = join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),[1,1,1],$fot(complement(zero))]]) ).

cnf(refute_0_1407,plain,
    ( top != join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | top = join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)) )],[refute_0_1361,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    top = join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),
    inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(top,join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1405,refute_0_1407]) ).

cnf(refute_0_1409,plain,
    join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)) = join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(zero))),bind(B,$fot(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1410,plain,
    join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))))]]) ).

cnf(refute_0_1411,plain,
    ( join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)) != join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))
    | join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) ),[1,1],$fot(join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1412,plain,
    ( join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)) != join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) )],[refute_0_1410,refute_0_1411]) ).

cnf(refute_0_1413,plain,
    join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)),join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1409,refute_0_1412]) ).

cnf(refute_0_1414,plain,
    join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))))]]) ).

cnf(refute_0_1415,plain,
    ( complement(top) != zero
    | join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))
    | join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1416,plain,
    ( complement(top) != zero
    | join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) )],[refute_0_1414,refute_0_1415]) ).

cnf(refute_0_1417,plain,
    join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1416]) ).

cnf(refute_0_1418,plain,
    ( join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))
    | join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))))),bind(Y,$fot(join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))))),bind(Z,$fot(join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))))]]) ).

cnf(refute_0_1419,plain,
    ( join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) )],[refute_0_1417,refute_0_1418]) ).

cnf(refute_0_1420,plain,
    join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1413,refute_0_1419]) ).

cnf(refute_0_1421,plain,
    ( join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))) != join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | top != join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))
    | top = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) ),[1],$fot(join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))]]) ).

cnf(refute_0_1422,plain,
    ( top != join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))
    | top = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero))),join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1420,refute_0_1421]) ).

cnf(refute_0_1423,plain,
    top = join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(zero)))) )],[refute_0_1408,refute_0_1422]) ).

cnf(refute_0_1424,plain,
    complement(join(complement(zero),complement(zero))) = meet(zero,zero),
    inference(subst,[],[refute_0_79:[bind(A,$fot(zero)),bind(B,$fot(zero))]]) ).

cnf(refute_0_1425,plain,
    complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),
    introduced(tautology,[refl,[$fot(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))]]) ).

cnf(refute_0_1426,plain,
    ( complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))
    | join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(zero))
    | complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(join(complement(zero),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) ),[1,0],$fot(join(complement(zero),complement(zero)))]]) ).

cnf(refute_0_1427,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(zero))
    | complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(join(complement(zero),complement(zero))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) )],[refute_0_1425,refute_0_1426]) ).

cnf(refute_0_1428,plain,
    complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = complement(join(complement(zero),complement(zero))),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(zero))) )],[refute_0_1402,refute_0_1427]) ).

cnf(refute_0_1429,plain,
    ( complement(join(complement(zero),complement(zero))) != meet(zero,zero)
    | complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != complement(join(complement(zero),complement(zero)))
    | complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = meet(zero,zero) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),bind(Y,$fot(complement(join(complement(zero),complement(zero))))),bind(Z,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_1430,plain,
    ( complement(join(complement(zero),complement(zero))) != meet(zero,zero)
    | complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = meet(zero,zero) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),complement(join(complement(zero),complement(zero)))) )],[refute_0_1428,refute_0_1429]) ).

cnf(refute_0_1431,plain,
    complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) = meet(zero,zero),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),complement(zero))),meet(zero,zero)) )],[refute_0_1424,refute_0_1430]) ).

cnf(refute_0_1432,plain,
    join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    introduced(tautology,[refl,[$fot(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1433,plain,
    ( complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != meet(zero,zero)
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = join(top,meet(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) ),[1,1],$fot(meet(zero,zero))]]) ).

cnf(refute_0_1434,plain,
    ( complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))) != meet(zero,zero)
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = join(top,meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1432,refute_0_1433]) ).

cnf(refute_0_1435,plain,
    join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = join(top,meet(zero,zero)),
    inference(resolve,[$cnf( $equal(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))),meet(zero,zero)) )],[refute_0_1431,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(zero)),bind(X_62,$fot(complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))]]) ).

cnf(refute_0_1437,plain,
    ( join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != join(top,meet(zero,zero))
    | join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))
    | join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = join(top,meet(zero,zero)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))),bind(Y,$fot(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),bind(Z,$fot(join(top,meet(zero,zero))))]]) ).

cnf(refute_0_1438,plain,
    ( join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != join(top,meet(zero,zero))
    | join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = join(top,meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) )],[refute_0_1436,refute_0_1437]) ).

cnf(refute_0_1439,plain,
    join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = join(top,meet(zero,zero)),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),join(top,meet(zero,zero))) )],[refute_0_1435,refute_0_1438]) ).

cnf(refute_0_1440,plain,
    ( join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != join(top,meet(zero,zero))
    | top != join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | top = join(top,meet(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),[1],$fot(join(top,meet(zero,zero)))]]) ).

cnf(refute_0_1441,plain,
    ( top != join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | top = join(top,meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),join(top,meet(zero,zero))) )],[refute_0_1439,refute_0_1440]) ).

cnf(refute_0_1442,plain,
    top = join(top,meet(zero,zero)),
    inference(resolve,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1423,refute_0_1441]) ).

cnf(refute_0_1443,plain,
    ( top != join(top,meet(zero,zero))
    | join(top,meet(zero,zero)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,meet(zero,zero))))]]) ).

cnf(refute_0_1444,plain,
    join(top,meet(zero,zero)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,meet(zero,zero))) )],[refute_0_1442,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    ( join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != join(top,meet(zero,zero))
    | join(top,meet(zero,zero)) != top
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),bind(Y,$fot(join(top,meet(zero,zero)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1446,plain,
    ( join(top,meet(zero,zero)) != top
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = top ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),join(top,meet(zero,zero))) )],[refute_0_1435,refute_0_1445]) ).

cnf(refute_0_1447,plain,
    join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) = top,
    inference(resolve,[$cnf( $equal(join(top,meet(zero,zero)),top) )],[refute_0_1444,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))]]) ).

cnf(refute_0_1449,plain,
    ( complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))
    | join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != top
    | complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1450,plain,
    ( join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))) != top
    | complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) )],[refute_0_1448,refute_0_1449]) ).

cnf(refute_0_1451,plain,
    complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))),top) )],[refute_0_1447,refute_0_1450]) ).

cnf(refute_0_1452,plain,
    ( complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1453,plain,
    ( complement(top) != zero
    | complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),complement(top)) )],[refute_0_1451,refute_0_1452]) ).

cnf(refute_0_1454,plain,
    complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1453]) ).

cnf(refute_0_1455,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))))]]) ).

cnf(refute_0_1456,plain,
    ( complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != zero
    | join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = join(complement(zero),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1457,plain,
    ( complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))) != zero
    | join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = join(complement(zero),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) )],[refute_0_1455,refute_0_1456]) ).

cnf(refute_0_1458,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = join(complement(zero),zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))),zero) )],[refute_0_1454,refute_0_1457]) ).

cnf(refute_0_1459,plain,
    ( join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) != join(complement(zero),zero)
    | join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))))),bind(Y,$fot(join(complement(zero),zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1460,plain,
    ( join(complement(zero),zero) != top
    | join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),join(complement(zero),zero)) )],[refute_0_1458,refute_0_1459]) ).

cnf(refute_0_1461,plain,
    join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),zero),top) )],[refute_0_475,refute_0_1460]) ).

cnf(refute_0_1462,plain,
    ( join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))) != top
    | join(complement(zero),complement(zero)) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),complement(zero)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(zero)),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) ),[1],$fot(top)]]) ).

cnf(refute_0_1463,plain,
    ( join(complement(zero),complement(zero)) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),complement(zero)) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))))))),top) )],[refute_0_1461,refute_0_1462]) ).

cnf(refute_0_1464,plain,
    ( join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))) != join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))
    | join(complement(zero),complement(zero)) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(zero)),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) )],[refute_0_1404,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    join(complement(zero),complement(zero)) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero)))))),join(complement(zero),complement(join(top,complement(join(complement(zero),meet(join(top,complement(zero)),join(top,complement(join(top,complement(zero))))))))))) )],[refute_0_1364,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    join(complement(zero),complement(zero)) = complement(zero),
    inference(subst,[],[refute_0_591:[bind(X_8,$fot(zero))]]) ).

cnf(refute_0_1467,plain,
    ( join(complement(zero),complement(zero)) != complement(zero)
    | join(complement(zero),complement(zero)) != top
    | complement(zero) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(zero)),top) ),[0],$fot(complement(zero))]]) ).

cnf(refute_0_1468,plain,
    ( join(complement(zero),complement(zero)) != top
    | complement(zero) = top ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(zero)),complement(zero)) )],[refute_0_1466,refute_0_1467]) ).

cnf(refute_0_1469,plain,
    complement(zero) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(zero)),top) )],[refute_0_1465,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    composition(join(one,converse(join(one,one))),complement(zero)) = composition(join(one,converse(join(one,one))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(join(one,one))),complement(zero)))]]) ).

cnf(refute_0_1471,plain,
    ( complement(zero) != top
    | composition(join(one,converse(join(one,one))),complement(zero)) != composition(join(one,converse(join(one,one))),complement(zero))
    | composition(join(one,converse(join(one,one))),complement(zero)) = composition(join(one,converse(join(one,one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(zero)),composition(join(one,converse(join(one,one))),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1472,plain,
    ( complement(zero) != top
    | composition(join(one,converse(join(one,one))),complement(zero)) = composition(join(one,converse(join(one,one))),top) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(zero)),composition(join(one,converse(join(one,one))),complement(zero))) )],[refute_0_1470,refute_0_1471]) ).

cnf(refute_0_1473,plain,
    composition(join(one,converse(join(one,one))),complement(zero)) = composition(join(one,converse(join(one,one))),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1469,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    join(complement(zero),composition(converse(join(one,one)),complement(zero))) = composition(join(one,converse(join(one,one))),complement(zero)),
    inference(subst,[],[refute_0_226:[bind(B,$fot(converse(join(one,one)))),bind(C,$fot(complement(zero)))]]) ).

cnf(refute_0_1475,plain,
    ( composition(join(one,converse(join(one,one))),complement(zero)) != composition(join(one,converse(join(one,one))),top)
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) != composition(join(one,converse(join(one,one))),complement(zero))
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) = composition(join(one,converse(join(one,one))),top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),composition(converse(join(one,one)),complement(zero))))),bind(Y,$fot(composition(join(one,converse(join(one,one))),complement(zero)))),bind(Z,$fot(composition(join(one,converse(join(one,one))),top)))]]) ).

cnf(refute_0_1476,plain,
    ( composition(join(one,converse(join(one,one))),complement(zero)) != composition(join(one,converse(join(one,one))),top)
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) = composition(join(one,converse(join(one,one))),top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(zero))),composition(join(one,converse(join(one,one))),complement(zero))) )],[refute_0_1474,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    join(complement(zero),composition(converse(join(one,one)),complement(zero))) = composition(join(one,converse(join(one,one))),top),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(zero)),composition(join(one,converse(join(one,one))),top)) )],[refute_0_1473,refute_0_1476]) ).

cnf(refute_0_1478,plain,
    ( join(complement(zero),composition(converse(join(one,one)),complement(zero))) != complement(zero)
    | join(complement(zero),composition(converse(join(one,one)),complement(zero))) != composition(join(one,converse(join(one,one))),top)
    | composition(join(one,converse(join(one,one))),top) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(zero))),complement(zero)) ),[0],$fot(composition(join(one,converse(join(one,one))),top))]]) ).

cnf(refute_0_1479,plain,
    ( join(complement(zero),composition(converse(join(one,one)),complement(zero))) != complement(zero)
    | composition(join(one,converse(join(one,one))),top) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(zero))),composition(join(one,converse(join(one,one))),top)) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    ( complement(zero) != top
    | composition(join(one,converse(join(one,one))),top) != complement(zero)
    | composition(join(one,converse(join(one,one))),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),complement(zero)) ),[1],$fot(top)]]) ).

cnf(refute_0_1481,plain,
    ( composition(join(one,converse(join(one,one))),top) != complement(zero)
    | composition(join(one,converse(join(one,one))),top) = top ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1469,refute_0_1480]) ).

cnf(refute_0_1482,plain,
    ( join(complement(zero),composition(converse(join(one,one)),complement(zero))) != complement(zero)
    | composition(join(one,converse(join(one,one))),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),complement(zero)) )],[refute_0_1479,refute_0_1481]) ).

cnf(refute_0_1483,plain,
    composition(join(one,converse(join(one,one))),top) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(join(one,one)),complement(zero))),complement(zero)) )],[refute_0_1317,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    join(one,converse(join(one,one))) = converse(join(one,join(one,one))),
    inference(subst,[],[refute_0_1274:[bind(X_20,$fot(join(one,one)))]]) ).

cnf(refute_0_1485,plain,
    composition(join(one,converse(join(one,one))),top) = composition(join(one,converse(join(one,one))),top),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(join(one,one))),top))]]) ).

cnf(refute_0_1486,plain,
    ( composition(join(one,converse(join(one,one))),top) != composition(join(one,converse(join(one,one))),top)
    | join(one,converse(join(one,one))) != converse(join(one,join(one,one)))
    | composition(join(one,converse(join(one,one))),top) = composition(converse(join(one,join(one,one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),composition(join(one,converse(join(one,one))),top)) ),[1,0],$fot(converse(join(one,join(one,one))))]]) ).

cnf(refute_0_1487,plain,
    ( join(one,converse(join(one,one))) != converse(join(one,join(one,one)))
    | composition(join(one,converse(join(one,one))),top) = composition(converse(join(one,join(one,one))),top) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),composition(join(one,converse(join(one,one))),top)) )],[refute_0_1485,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    composition(join(one,converse(join(one,one))),top) = composition(converse(join(one,join(one,one))),top),
    inference(resolve,[$cnf( $equal(join(one,converse(join(one,one))),converse(join(one,join(one,one)))) )],[refute_0_1484,refute_0_1487]) ).

cnf(refute_0_1489,plain,
    ( composition(join(one,converse(join(one,one))),top) != composition(converse(join(one,join(one,one))),top)
    | composition(join(one,converse(join(one,one))),top) != top
    | composition(converse(join(one,join(one,one))),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),top) ),[0],$fot(composition(converse(join(one,join(one,one))),top))]]) ).

cnf(refute_0_1490,plain,
    ( composition(join(one,converse(join(one,one))),top) != top
    | composition(converse(join(one,join(one,one))),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),composition(converse(join(one,join(one,one))),top)) )],[refute_0_1488,refute_0_1489]) ).

cnf(refute_0_1491,plain,
    composition(converse(join(one,join(one,one))),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),top),top) )],[refute_0_1483,refute_0_1490]) ).

cnf(refute_0_1492,plain,
    ( composition(converse(join(one,join(one,one))),top) != top
    | converse(composition(converse(join(one,join(one,one))),top)) != composition(converse(top),converse(converse(join(one,join(one,one)))))
    | converse(top) = composition(converse(top),converse(converse(join(one,join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(one,join(one,one))),top)),composition(converse(top),converse(converse(join(one,join(one,one)))))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_1493,plain,
    ( converse(composition(converse(join(one,join(one,one))),top)) != composition(converse(top),converse(converse(join(one,join(one,one)))))
    | converse(top) = composition(converse(top),converse(converse(join(one,join(one,one))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(one,join(one,one))),top),top) )],[refute_0_1491,refute_0_1492]) ).

cnf(refute_0_1494,plain,
    converse(top) = composition(converse(top),converse(converse(join(one,join(one,one))))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,join(one,one))),top)),composition(converse(top),converse(converse(join(one,join(one,one)))))) )],[refute_0_1280,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    converse(composition(converse(join(one,join(one,one))),top)) = composition(converse(top),join(one,join(one,one))),
    inference(subst,[],[refute_0_173:[bind(A,$fot(join(one,join(one,one)))),bind(X_27,$fot(top))]]) ).

cnf(refute_0_1496,plain,
    ( converse(composition(A,B)) != composition(converse(B),converse(A))
    | composition(converse(B),converse(A)) = converse(composition(A,B)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,B)))),bind(Y,$fot(composition(converse(B),converse(A))))]]) ).

cnf(refute_0_1497,plain,
    composition(converse(B),converse(A)) = converse(composition(A,B)),
    inference(resolve,[$cnf( $equal(converse(composition(A,B)),composition(converse(B),converse(A))) )],[converse_multiplicativity_10,refute_0_1496]) ).

cnf(refute_0_1498,plain,
    composition(converse(top),converse(converse(join(one,join(one,one))))) = converse(composition(converse(join(one,join(one,one))),top)),
    inference(subst,[],[refute_0_1497:[bind(A,$fot(converse(join(one,join(one,one))))),bind(B,$fot(top))]]) ).

cnf(refute_0_1499,plain,
    ( composition(converse(top),converse(converse(join(one,join(one,one))))) != converse(composition(converse(join(one,join(one,one))),top))
    | converse(composition(converse(join(one,join(one,one))),top)) != composition(converse(top),join(one,join(one,one)))
    | composition(converse(top),converse(converse(join(one,join(one,one))))) = composition(converse(top),join(one,join(one,one))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(converse(top),converse(converse(join(one,join(one,one))))))),bind(Y,$fot(converse(composition(converse(join(one,join(one,one))),top)))),bind(Z,$fot(composition(converse(top),join(one,join(one,one)))))]]) ).

cnf(refute_0_1500,plain,
    ( converse(composition(converse(join(one,join(one,one))),top)) != composition(converse(top),join(one,join(one,one)))
    | composition(converse(top),converse(converse(join(one,join(one,one))))) = composition(converse(top),join(one,join(one,one))) ),
    inference(resolve,[$cnf( $equal(composition(converse(top),converse(converse(join(one,join(one,one))))),converse(composition(converse(join(one,join(one,one))),top))) )],[refute_0_1498,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    composition(converse(top),converse(converse(join(one,join(one,one))))) = composition(converse(top),join(one,join(one,one))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,join(one,one))),top)),composition(converse(top),join(one,join(one,one)))) )],[refute_0_1495,refute_0_1500]) ).

cnf(refute_0_1502,plain,
    ( composition(converse(top),converse(converse(join(one,join(one,one))))) != composition(converse(top),join(one,join(one,one)))
    | converse(top) != composition(converse(top),converse(converse(join(one,join(one,one)))))
    | converse(top) = composition(converse(top),join(one,join(one,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),composition(converse(top),converse(converse(join(one,join(one,one)))))) ),[1],$fot(composition(converse(top),join(one,join(one,one))))]]) ).

cnf(refute_0_1503,plain,
    ( converse(top) != composition(converse(top),converse(converse(join(one,join(one,one)))))
    | converse(top) = composition(converse(top),join(one,join(one,one))) ),
    inference(resolve,[$cnf( $equal(composition(converse(top),converse(converse(join(one,join(one,one))))),composition(converse(top),join(one,join(one,one)))) )],[refute_0_1501,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    converse(top) = composition(converse(top),join(one,join(one,one))),
    inference(resolve,[$cnf( $equal(converse(top),composition(converse(top),converse(converse(join(one,join(one,one)))))) )],[refute_0_1494,refute_0_1503]) ).

cnf(refute_0_1505,plain,
    ( converse(top) != composition(converse(top),join(one,join(one,one)))
    | composition(converse(top),join(one,join(one,one))) = converse(top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(composition(converse(top),join(one,join(one,one)))))]]) ).

cnf(refute_0_1506,plain,
    composition(converse(top),join(one,join(one,one))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),composition(converse(top),join(one,join(one,one)))) )],[refute_0_1504,refute_0_1505]) ).

cnf(refute_0_1507,plain,
    ( composition(converse(top),join(one,join(one,one))) != converse(top)
    | composition(join(A,converse(top)),join(one,join(one,one))) != join(composition(A,join(one,join(one,one))),composition(converse(top),join(one,join(one,one))))
    | composition(join(A,converse(top)),join(one,join(one,one))) = join(composition(A,join(one,join(one,one))),converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),join(composition(A,join(one,join(one,one))),composition(converse(top),join(one,join(one,one))))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1508,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != join(composition(A,join(one,join(one,one))),composition(converse(top),join(one,join(one,one))))
    | composition(join(A,converse(top)),join(one,join(one,one))) = join(composition(A,join(one,join(one,one))),converse(top)) ),
    inference(resolve,[$cnf( $equal(composition(converse(top),join(one,join(one,one))),converse(top)) )],[refute_0_1506,refute_0_1507]) ).

cnf(refute_0_1509,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = join(composition(A,join(one,join(one,one))),converse(top)),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),join(composition(A,join(one,join(one,one))),composition(converse(top),join(one,join(one,one))))) )],[refute_0_1279,refute_0_1508]) ).

cnf(refute_0_1510,plain,
    composition(join(converse(top),B),join(one,join(one,one))) = join(composition(converse(top),join(one,join(one,one))),composition(B,join(one,join(one,one)))),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(top))),bind(C,$fot(join(one,join(one,one))))]]) ).

cnf(refute_0_1511,plain,
    ( composition(converse(top),join(one,join(one,one))) != converse(top)
    | composition(join(converse(top),B),join(one,join(one,one))) != join(composition(converse(top),join(one,join(one,one))),composition(B,join(one,join(one,one))))
    | composition(join(converse(top),B),join(one,join(one,one))) = join(converse(top),composition(B,join(one,join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(top),B),join(one,join(one,one))),join(composition(converse(top),join(one,join(one,one))),composition(B,join(one,join(one,one))))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_1512,plain,
    ( composition(join(converse(top),B),join(one,join(one,one))) != join(composition(converse(top),join(one,join(one,one))),composition(B,join(one,join(one,one))))
    | composition(join(converse(top),B),join(one,join(one,one))) = join(converse(top),composition(B,join(one,join(one,one)))) ),
    inference(resolve,[$cnf( $equal(composition(converse(top),join(one,join(one,one))),converse(top)) )],[refute_0_1506,refute_0_1511]) ).

cnf(refute_0_1513,plain,
    composition(join(converse(top),B),join(one,join(one,one))) = join(converse(top),composition(B,join(one,join(one,one)))),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),B),join(one,join(one,one))),join(composition(converse(top),join(one,join(one,one))),composition(B,join(one,join(one,one))))) )],[refute_0_1510,refute_0_1512]) ).

cnf(refute_0_1514,plain,
    ( composition(join(converse(top),B),join(one,join(one,one))) != join(converse(top),composition(B,join(one,join(one,one))))
    | join(converse(top),composition(B,join(one,join(one,one)))) = composition(join(converse(top),B),join(one,join(one,one))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(converse(top),B),join(one,join(one,one))))),bind(Y,$fot(join(converse(top),composition(B,join(one,join(one,one))))))]]) ).

cnf(refute_0_1515,plain,
    join(converse(top),composition(B,join(one,join(one,one)))) = composition(join(converse(top),B),join(one,join(one,one))),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),B),join(one,join(one,one))),join(converse(top),composition(B,join(one,join(one,one))))) )],[refute_0_1513,refute_0_1514]) ).

cnf(refute_0_1516,plain,
    join(converse(top),composition(A,join(one,join(one,one)))) = composition(join(converse(top),A),join(one,join(one,one))),
    inference(subst,[],[refute_0_1515:[bind(B,$fot(A))]]) ).

cnf(refute_0_1517,plain,
    join(composition(A,join(one,join(one,one))),converse(top)) = join(converse(top),composition(A,join(one,join(one,one)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(converse(top))),bind(B,$fot(composition(A,join(one,join(one,one)))))]]) ).

cnf(refute_0_1518,plain,
    ( join(composition(A,join(one,join(one,one))),converse(top)) != join(converse(top),composition(A,join(one,join(one,one))))
    | join(converse(top),composition(A,join(one,join(one,one)))) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(composition(A,join(one,join(one,one))),converse(top)) = composition(join(converse(top),A),join(one,join(one,one))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(composition(A,join(one,join(one,one))),converse(top)))),bind(Y,$fot(join(converse(top),composition(A,join(one,join(one,one)))))),bind(Z,$fot(composition(join(converse(top),A),join(one,join(one,one)))))]]) ).

cnf(refute_0_1519,plain,
    ( join(converse(top),composition(A,join(one,join(one,one)))) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(composition(A,join(one,join(one,one))),converse(top)) = composition(join(converse(top),A),join(one,join(one,one))) ),
    inference(resolve,[$cnf( $equal(join(composition(A,join(one,join(one,one))),converse(top)),join(converse(top),composition(A,join(one,join(one,one))))) )],[refute_0_1517,refute_0_1518]) ).

cnf(refute_0_1520,plain,
    join(composition(A,join(one,join(one,one))),converse(top)) = composition(join(converse(top),A),join(one,join(one,one))),
    inference(resolve,[$cnf( $equal(join(converse(top),composition(A,join(one,join(one,one)))),composition(join(converse(top),A),join(one,join(one,one)))) )],[refute_0_1516,refute_0_1519]) ).

cnf(refute_0_1521,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != join(composition(A,join(one,join(one,one))),converse(top))
    | join(composition(A,join(one,join(one,one))),converse(top)) != composition(join(converse(top),A),join(one,join(one,one)))
    | composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(converse(top),A),join(one,join(one,one))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(converse(top),A),join(one,join(one,one)))) ),[0],$fot(join(composition(A,join(one,join(one,one))),converse(top)))]]) ).

cnf(refute_0_1522,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != join(composition(A,join(one,join(one,one))),converse(top))
    | composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(converse(top),A),join(one,join(one,one))) ),
    inference(resolve,[$cnf( $equal(join(composition(A,join(one,join(one,one))),converse(top)),composition(join(converse(top),A),join(one,join(one,one)))) )],[refute_0_1520,refute_0_1521]) ).

cnf(refute_0_1523,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(converse(top),A),join(one,join(one,one))),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),join(composition(A,join(one,join(one,one))),converse(top))) )],[refute_0_1509,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    composition(join(A,converse(top)),one) = join(A,converse(top)),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(join(A,converse(top))))]]) ).

cnf(refute_0_1525,plain,
    join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) = complement(complement(one)),
    inference(subst,[],[refute_0_151:[bind(A,$fot(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(B,$fot(complement(one)))]]) ).

cnf(refute_0_1526,plain,
    join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) = complement(one),
    inference(subst,[],[refute_0_156:[bind(X_7,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1527,plain,
    ( complement(meet(one,converse(composition(join(one,one),join(one,one))))) != complement(one)
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != complement(one)
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))),complement(one)) ),[0,1,1],$fot(complement(one))]]) ).

cnf(refute_0_1528,plain,
    ( join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))) != complement(one)
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = complement(one) ),
    inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one)) )],[refute_0_824,refute_0_1527]) ).

cnf(refute_0_1529,plain,
    join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(meet(one,converse(composition(join(one,one),join(one,one))))))),complement(one)) )],[refute_0_1526,refute_0_1528]) ).

cnf(refute_0_1530,plain,
    join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))) = converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[refute_0_1274:[bind(X_20,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1531,plain,
    composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)))]]) ).

cnf(refute_0_1532,plain,
    ( composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) != composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))
    | join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))) != converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))) ),[1,0],$fot(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1533,plain,
    ( join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))) != converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))) )],[refute_0_1531,refute_0_1532]) ).

cnf(refute_0_1534,plain,
    composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),
    inference(resolve,[$cnf( $equal(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1530,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),
    inference(subst,[],[refute_0_226:[bind(B,$fot(converse(meet(one,converse(composition(join(one,one),join(one,one))))))),bind(C,$fot(complement(one)))]]) ).

cnf(refute_0_1536,plain,
    ( composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) != composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) != composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))))),bind(Y,$fot(composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)))),bind(Z,$fot(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))]]) ).

cnf(refute_0_1537,plain,
    ( composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) != composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))),composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))) )],[refute_0_1535,refute_0_1536]) ).

cnf(refute_0_1538,plain,
    join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) = composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))) )],[refute_0_1534,refute_0_1537]) ).

cnf(refute_0_1539,plain,
    ( join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) != complement(one)
    | join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) != composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))
    | composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))),complement(one)) ),[0],$fot(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)))]]) ).

cnf(refute_0_1540,plain,
    ( join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))) != complement(one)
    | composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))),composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))) )],[refute_0_1538,refute_0_1539]) ).

cnf(refute_0_1541,plain,
    composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,converse(composition(join(one,one),join(one,one))))),complement(one))),complement(one)) )],[refute_0_1529,refute_0_1540]) ).

cnf(refute_0_1542,plain,
    ( composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) != complement(one)
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) != complement(complement(one))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))),complement(complement(one))) ),[0,1,1,0],$fot(complement(one))]]) ).

cnf(refute_0_1543,plain,
    ( join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) != complement(complement(one))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),complement(one)) )],[refute_0_1541,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = complement(complement(one)),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))),complement(complement(one))) )],[refute_0_1525,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1546,plain,
    composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),
    introduced(tautology,[refl,[$fot(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))))]]) ).

cnf(refute_0_1547,plain,
    ( complement(complement(one)) != one
    | composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))
    | composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1548,plain,
    ( complement(complement(one)) != one
    | composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))) )],[refute_0_1546,refute_0_1547]) ).

cnf(refute_0_1549,plain,
    composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1548]) ).

cnf(refute_0_1550,plain,
    join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) = join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))),
    introduced(tautology,[refl,[$fot(join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1551,plain,
    ( converse(one) != one
    | join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) != join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))),join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1552,plain,
    ( converse(one) != one
    | join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))),join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_1550,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_213,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),
    introduced(tautology,[refl,[$fot(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1555,plain,
    ( join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))) ),[1,1],$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1556,plain,
    ( join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1554,refute_0_1555]) ).

cnf(refute_0_1557,plain,
    join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_1553,refute_0_1556]) ).

cnf(refute_0_1558,plain,
    join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(one)),bind(X_61,$fot(converse(one))),bind(X_62,$fot(meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1559,plain,
    converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(subst,[],[refute_0_886:[bind(A,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),bind(X_19,$fot(one))]]) ).

cnf(refute_0_1560,plain,
    ( converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))))),bind(Y,$fot(join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Z,$fot(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1561,plain,
    ( join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1559,refute_0_1560]) ).

cnf(refute_0_1562,plain,
    converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(join(converse(one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1558,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),
    inference(subst,[],[refute_0_1274:[bind(X_20,$fot(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1564,plain,
    ( converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))))),bind(Y,$fot(converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))))),bind(Z,$fot(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1565,plain,
    ( converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))) )],[refute_0_1563,refute_0_1564]) ).

cnf(refute_0_1566,plain,
    join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(converse(join(one,converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1562,refute_0_1565]) ).

cnf(refute_0_1567,plain,
    ( join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))))),bind(Y,$fot(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))))),bind(Z,$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1568,plain,
    ( join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1566,refute_0_1567]) ).

cnf(refute_0_1569,plain,
    join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(join(one,join(converse(one),meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1557,refute_0_1568]) ).

cnf(refute_0_1570,plain,
    composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))))]]) ).

cnf(refute_0_1571,plain,
    ( composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) != composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one)))
    | join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one)))) ),[1,0],$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1572,plain,
    ( join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one)))) )],[refute_0_1570,refute_0_1571]) ).

cnf(refute_0_1573,plain,
    composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1569,refute_0_1572]) ).

cnf(refute_0_1574,plain,
    ( composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))
    | composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))))),bind(Y,$fot(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))))),bind(Z,$fot(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)))]]) ).

cnf(refute_0_1575,plain,
    ( composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))) )],[refute_0_1573,refute_0_1574]) ).

cnf(refute_0_1576,plain,
    composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)) )],[refute_0_1549,refute_0_1575]) ).

cnf(refute_0_1577,plain,
    ( composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)
    | composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))))),bind(Y,$fot(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one))),bind(Z,$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1578,plain,
    ( composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one)) )],[refute_0_1576,refute_0_1577]) ).

cnf(refute_0_1579,plain,
    composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1545,refute_0_1578]) ).

cnf(refute_0_1580,plain,
    join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),
    inference(subst,[],[refute_0_226:[bind(B,$fot(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))),bind(C,$fot(complement(complement(one))))]]) ).

cnf(refute_0_1581,plain,
    ( composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) != composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one)))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))))),bind(Y,$fot(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))))),bind(Z,$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))))]]) ).

cnf(refute_0_1582,plain,
    ( composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))),composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one)))) )],[refute_0_1580,refute_0_1581]) ).

cnf(refute_0_1583,plain,
    join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))),complement(complement(one))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1579,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    ( join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) != complement(complement(one))
    | join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))),complement(complement(one))) ),[0],$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1585,plain,
    ( join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) != complement(complement(one))
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1583,refute_0_1584]) ).

cnf(refute_0_1586,plain,
    ( complement(complement(one)) != one
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != complement(complement(one))
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) ),[1],$fot(one)]]) ).

cnf(refute_0_1587,plain,
    ( join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != complement(complement(one))
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = one ),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    ( join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))) != complement(complement(one))
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = one ),
    inference(resolve,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) )],[refute_0_1585,refute_0_1587]) ).

cnf(refute_0_1589,plain,
    join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = one,
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),complement(complement(one)))),complement(complement(one))) )],[refute_0_1544,refute_0_1588]) ).

cnf(refute_0_1590,plain,
    join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) = complement(complement(one)),
    inference(subst,[],[refute_0_548:[bind(A,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),bind(X_8,$fot(complement(one)))]]) ).

cnf(refute_0_1591,plain,
    ( composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)) != complement(one)
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) != complement(complement(one))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))),complement(complement(one))) ),[0,1,1,0],$fot(complement(one))]]) ).

cnf(refute_0_1592,plain,
    ( join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))) != complement(complement(one))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one)),complement(one)) )],[refute_0_1541,refute_0_1591]) ).

cnf(refute_0_1593,plain,
    join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = complement(complement(one)),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(composition(converse(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(one))))),complement(complement(one))) )],[refute_0_1590,refute_0_1592]) ).

cnf(refute_0_1594,plain,
    composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1595,plain,
    composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),
    introduced(tautology,[refl,[$fot(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))))]]) ).

cnf(refute_0_1596,plain,
    ( complement(complement(one)) != one
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) != composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1597,plain,
    ( complement(complement(one)) != one
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) )],[refute_0_1595,refute_0_1596]) ).

cnf(refute_0_1598,plain,
    composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1597]) ).

cnf(refute_0_1599,plain,
    ( composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) != composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one)
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))))),bind(Y,$fot(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one))),bind(Z,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1600,plain,
    ( composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one)) )],[refute_0_1598,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_1594,refute_0_1600]) ).

cnf(refute_0_1602,plain,
    composition(join(join(one,one),B),complement(X_77)) = join(composition(join(one,one),complement(X_77)),composition(B,complement(X_77))),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(join(one,one))),bind(C,$fot(complement(X_77)))]]) ).

cnf(refute_0_1603,plain,
    composition(join(one,one),complement(X_77)) = complement(X_77),
    inference(subst,[],[refute_0_233:[bind(B,$fot(X_77))]]) ).

cnf(refute_0_1604,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != join(composition(join(one,one),complement(X_77)),composition(B,complement(X_77)))
    | composition(join(one,one),complement(X_77)) != complement(X_77)
    | composition(join(join(one,one),B),complement(X_77)) = join(complement(X_77),composition(B,complement(X_77))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),join(composition(join(one,one),complement(X_77)),composition(B,complement(X_77)))) ),[1,0],$fot(complement(X_77))]]) ).

cnf(refute_0_1605,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != join(composition(join(one,one),complement(X_77)),composition(B,complement(X_77)))
    | composition(join(join(one,one),B),complement(X_77)) = join(complement(X_77),composition(B,complement(X_77))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_77)),complement(X_77)) )],[refute_0_1603,refute_0_1604]) ).

cnf(refute_0_1606,plain,
    composition(join(join(one,one),B),complement(X_77)) = join(complement(X_77),composition(B,complement(X_77))),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),join(composition(join(one,one),complement(X_77)),composition(B,complement(X_77)))) )],[refute_0_1602,refute_0_1605]) ).

cnf(refute_0_1607,plain,
    join(join(one,one),B) = join(one,join(one,B)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(B))]]) ).

cnf(refute_0_1608,plain,
    composition(join(join(one,one),B),complement(X_77)) = composition(join(join(one,one),B),complement(X_77)),
    introduced(tautology,[refl,[$fot(composition(join(join(one,one),B),complement(X_77)))]]) ).

cnf(refute_0_1609,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != composition(join(join(one,one),B),complement(X_77))
    | join(join(one,one),B) != join(one,join(one,B))
    | composition(join(join(one,one),B),complement(X_77)) = composition(join(one,join(one,B)),complement(X_77)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),composition(join(join(one,one),B),complement(X_77))) ),[1,0],$fot(join(one,join(one,B)))]]) ).

cnf(refute_0_1610,plain,
    ( join(join(one,one),B) != join(one,join(one,B))
    | composition(join(join(one,one),B),complement(X_77)) = composition(join(one,join(one,B)),complement(X_77)) ),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),composition(join(join(one,one),B),complement(X_77))) )],[refute_0_1608,refute_0_1609]) ).

cnf(refute_0_1611,plain,
    composition(join(join(one,one),B),complement(X_77)) = composition(join(one,join(one,B)),complement(X_77)),
    inference(resolve,[$cnf( $equal(join(join(one,one),B),join(one,join(one,B))) )],[refute_0_1607,refute_0_1610]) ).

cnf(refute_0_1612,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != composition(join(one,join(one,B)),complement(X_77))
    | composition(join(join(one,one),B),complement(X_77)) != join(complement(X_77),composition(B,complement(X_77)))
    | composition(join(one,join(one,B)),complement(X_77)) = join(complement(X_77),composition(B,complement(X_77))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),join(complement(X_77),composition(B,complement(X_77)))) ),[0],$fot(composition(join(one,join(one,B)),complement(X_77)))]]) ).

cnf(refute_0_1613,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != join(complement(X_77),composition(B,complement(X_77)))
    | composition(join(one,join(one,B)),complement(X_77)) = join(complement(X_77),composition(B,complement(X_77))) ),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),composition(join(one,join(one,B)),complement(X_77))) )],[refute_0_1611,refute_0_1612]) ).

cnf(refute_0_1614,plain,
    join(complement(X_77),composition(B,complement(X_77))) = composition(join(one,B),complement(X_77)),
    inference(subst,[],[refute_0_226:[bind(C,$fot(complement(X_77)))]]) ).

cnf(refute_0_1615,plain,
    ( composition(join(one,join(one,B)),complement(X_77)) != join(complement(X_77),composition(B,complement(X_77)))
    | join(complement(X_77),composition(B,complement(X_77))) != composition(join(one,B),complement(X_77))
    | composition(join(one,join(one,B)),complement(X_77)) = composition(join(one,B),complement(X_77)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(one,B)),complement(X_77)),composition(join(one,B),complement(X_77))) ),[0],$fot(join(complement(X_77),composition(B,complement(X_77))))]]) ).

cnf(refute_0_1616,plain,
    ( composition(join(one,join(one,B)),complement(X_77)) != join(complement(X_77),composition(B,complement(X_77)))
    | composition(join(one,join(one,B)),complement(X_77)) = composition(join(one,B),complement(X_77)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_77),composition(B,complement(X_77))),composition(join(one,B),complement(X_77))) )],[refute_0_1614,refute_0_1615]) ).

cnf(refute_0_1617,plain,
    ( composition(join(join(one,one),B),complement(X_77)) != join(complement(X_77),composition(B,complement(X_77)))
    | composition(join(one,join(one,B)),complement(X_77)) = composition(join(one,B),complement(X_77)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,B)),complement(X_77)),join(complement(X_77),composition(B,complement(X_77)))) )],[refute_0_1613,refute_0_1616]) ).

cnf(refute_0_1618,plain,
    composition(join(one,join(one,B)),complement(X_77)) = composition(join(one,B),complement(X_77)),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),complement(X_77)),join(complement(X_77),composition(B,complement(X_77)))) )],[refute_0_1606,refute_0_1617]) ).

cnf(refute_0_1619,plain,
    composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),
    inference(subst,[],[refute_0_1618:[bind(B,$fot(meet(one,converse(composition(join(one,one),join(one,one)))))),bind(X_77,$fot(complement(one)))]]) ).

cnf(refute_0_1620,plain,
    join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),
    inference(subst,[],[refute_0_226:[bind(B,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))),bind(C,$fot(complement(complement(one))))]]) ).

cnf(refute_0_1621,plain,
    ( composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) != composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))))),bind(Y,$fot(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))))),bind(Z,$fot(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))))]]) ).

cnf(refute_0_1622,plain,
    ( composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))) != composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))),composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one)))) )],[refute_0_1620,refute_0_1621]) ).

cnf(refute_0_1623,plain,
    join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),complement(complement(one))),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) )],[refute_0_1619,refute_0_1622]) ).

cnf(refute_0_1624,plain,
    ( composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))))),bind(Y,$fot(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))))),bind(Z,$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1625,plain,
    ( composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) )],[refute_0_1623,refute_0_1624]) ).

cnf(refute_0_1626,plain,
    join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) = join(one,meet(one,converse(composition(join(one,one),join(one,one))))),
    inference(resolve,[$cnf( $equal(composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_1601,refute_0_1625]) ).

cnf(refute_0_1627,plain,
    ( join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != complement(complement(one))
    | join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != join(one,meet(one,converse(composition(join(one,one),join(one,one)))))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))),complement(complement(one))) ),[0],$fot(join(one,meet(one,converse(composition(join(one,one),join(one,one))))))]]) ).

cnf(refute_0_1628,plain,
    ( join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != complement(complement(one))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))),join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) )],[refute_0_1626,refute_0_1627]) ).

cnf(refute_0_1629,plain,
    ( complement(complement(one)) != one
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) != complement(complement(one))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) ),[1],$fot(one)]]) ).

cnf(refute_0_1630,plain,
    ( join(one,meet(one,converse(composition(join(one,one),join(one,one))))) != complement(complement(one))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one ),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1629]) ).

cnf(refute_0_1631,plain,
    ( join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))) != complement(complement(one))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one ),
    inference(resolve,[$cnf( $equal(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one))) )],[refute_0_1628,refute_0_1630]) ).

cnf(refute_0_1632,plain,
    join(one,meet(one,converse(composition(join(one,one),join(one,one))))) = one,
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),complement(complement(one)))),complement(complement(one))) )],[refute_0_1593,refute_0_1631]) ).

cnf(refute_0_1633,plain,
    join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),
    introduced(tautology,[refl,[$fot(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))))]]) ).

cnf(refute_0_1634,plain,
    ( join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))
    | join(one,meet(one,converse(composition(join(one,one),join(one,one))))) != one
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1635,plain,
    ( join(one,meet(one,converse(composition(join(one,one),join(one,one))))) != one
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,one) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one))))))) )],[refute_0_1633,refute_0_1634]) ).

cnf(refute_0_1636,plain,
    join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) = join(one,one),
    inference(resolve,[$cnf( $equal(join(one,meet(one,converse(composition(join(one,one),join(one,one))))),one) )],[refute_0_1632,refute_0_1635]) ).

cnf(refute_0_1637,plain,
    ( join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != join(one,one)
    | join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != one
    | join(one,one) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) ),[0],$fot(join(one,one))]]) ).

cnf(refute_0_1638,plain,
    ( join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))) != one
    | join(one,one) = one ),
    inference(resolve,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),join(one,one)) )],[refute_0_1636,refute_0_1637]) ).

cnf(refute_0_1639,plain,
    join(one,one) = one,
    inference(resolve,[$cnf( $equal(join(one,join(one,meet(one,converse(composition(join(one,one),join(one,one)))))),one) )],[refute_0_1589,refute_0_1638]) ).

cnf(refute_0_1640,plain,
    join(one,join(one,one)) = join(one,join(one,one)),
    introduced(tautology,[refl,[$fot(join(one,join(one,one)))]]) ).

cnf(refute_0_1641,plain,
    ( join(one,join(one,one)) != join(one,join(one,one))
    | join(one,one) != one
    | join(one,join(one,one)) = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,one)),join(one,join(one,one))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1642,plain,
    ( join(one,one) != one
    | join(one,join(one,one)) = join(one,one) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(one,join(one,one))) )],[refute_0_1640,refute_0_1641]) ).

cnf(refute_0_1643,plain,
    join(one,join(one,one)) = join(one,one),
    inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1639,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    ( join(one,join(one,one)) != join(one,one)
    | join(one,one) != one
    | join(one,join(one,one)) = one ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,join(one,one)))),bind(Y,$fot(join(one,one))),bind(Z,$fot(one))]]) ).

cnf(refute_0_1645,plain,
    ( join(one,one) != one
    | join(one,join(one,one)) = one ),
    inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(one,one)) )],[refute_0_1643,refute_0_1644]) ).

cnf(refute_0_1646,plain,
    join(one,join(one,one)) = one,
    inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1639,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(A,converse(top)),join(one,join(one,one))),
    introduced(tautology,[refl,[$fot(composition(join(A,converse(top)),join(one,join(one,one))))]]) ).

cnf(refute_0_1648,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != composition(join(A,converse(top)),join(one,join(one,one)))
    | join(one,join(one,one)) != one
    | composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(A,converse(top)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(A,converse(top)),join(one,join(one,one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1649,plain,
    ( join(one,join(one,one)) != one
    | composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(A,converse(top)),one) ),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(A,converse(top)),join(one,join(one,one)))) )],[refute_0_1647,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = composition(join(A,converse(top)),one),
    inference(resolve,[$cnf( $equal(join(one,join(one,one)),one) )],[refute_0_1646,refute_0_1649]) ).

cnf(refute_0_1651,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != composition(join(A,converse(top)),one)
    | composition(join(A,converse(top)),one) != join(A,converse(top))
    | composition(join(A,converse(top)),join(one,join(one,one))) = join(A,converse(top)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(A,converse(top)),join(one,join(one,one))))),bind(Y,$fot(composition(join(A,converse(top)),one))),bind(Z,$fot(join(A,converse(top))))]]) ).

cnf(refute_0_1652,plain,
    ( composition(join(A,converse(top)),one) != join(A,converse(top))
    | composition(join(A,converse(top)),join(one,join(one,one))) = join(A,converse(top)) ),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(A,converse(top)),one)) )],[refute_0_1650,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    composition(join(A,converse(top)),join(one,join(one,one))) = join(A,converse(top)),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),one),join(A,converse(top))) )],[refute_0_1524,refute_0_1652]) ).

cnf(refute_0_1654,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != composition(join(converse(top),A),join(one,join(one,one)))
    | composition(join(A,converse(top)),join(one,join(one,one))) != join(A,converse(top))
    | join(A,converse(top)) = composition(join(converse(top),A),join(one,join(one,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(converse(top),A),join(one,join(one,one)))) ),[0],$fot(join(A,converse(top)))]]) ).

cnf(refute_0_1655,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(A,converse(top)) = composition(join(converse(top),A),join(one,join(one,one))) ),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),join(A,converse(top))) )],[refute_0_1653,refute_0_1654]) ).

cnf(refute_0_1656,plain,
    composition(join(converse(top),A),one) = join(converse(top),A),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(join(converse(top),A)))]]) ).

cnf(refute_0_1657,plain,
    composition(join(converse(top),A),join(one,join(one,one))) = composition(join(converse(top),A),join(one,join(one,one))),
    introduced(tautology,[refl,[$fot(composition(join(converse(top),A),join(one,join(one,one))))]]) ).

cnf(refute_0_1658,plain,
    ( composition(join(converse(top),A),join(one,join(one,one))) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(one,join(one,one)) != one
    | composition(join(converse(top),A),join(one,join(one,one))) = composition(join(converse(top),A),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(top),A),join(one,join(one,one))),composition(join(converse(top),A),join(one,join(one,one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1659,plain,
    ( join(one,join(one,one)) != one
    | composition(join(converse(top),A),join(one,join(one,one))) = composition(join(converse(top),A),one) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),A),join(one,join(one,one))),composition(join(converse(top),A),join(one,join(one,one)))) )],[refute_0_1657,refute_0_1658]) ).

cnf(refute_0_1660,plain,
    composition(join(converse(top),A),join(one,join(one,one))) = composition(join(converse(top),A),one),
    inference(resolve,[$cnf( $equal(join(one,join(one,one)),one) )],[refute_0_1646,refute_0_1659]) ).

cnf(refute_0_1661,plain,
    ( composition(join(converse(top),A),join(one,join(one,one))) != composition(join(converse(top),A),one)
    | composition(join(converse(top),A),one) != join(converse(top),A)
    | composition(join(converse(top),A),join(one,join(one,one))) = join(converse(top),A) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(converse(top),A),join(one,join(one,one))))),bind(Y,$fot(composition(join(converse(top),A),one))),bind(Z,$fot(join(converse(top),A)))]]) ).

cnf(refute_0_1662,plain,
    ( composition(join(converse(top),A),one) != join(converse(top),A)
    | composition(join(converse(top),A),join(one,join(one,one))) = join(converse(top),A) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),A),join(one,join(one,one))),composition(join(converse(top),A),one)) )],[refute_0_1660,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    composition(join(converse(top),A),join(one,join(one,one))) = join(converse(top),A),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),A),one),join(converse(top),A)) )],[refute_0_1656,refute_0_1662]) ).

cnf(refute_0_1664,plain,
    ( composition(join(converse(top),A),join(one,join(one,one))) != join(converse(top),A)
    | join(A,converse(top)) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(A,converse(top)) = join(converse(top),A) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,converse(top)),composition(join(converse(top),A),join(one,join(one,one)))) ),[1],$fot(join(converse(top),A))]]) ).

cnf(refute_0_1665,plain,
    ( join(A,converse(top)) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(A,converse(top)) = join(converse(top),A) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(top),A),join(one,join(one,one))),join(converse(top),A)) )],[refute_0_1663,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    ( composition(join(A,converse(top)),join(one,join(one,one))) != composition(join(converse(top),A),join(one,join(one,one)))
    | join(A,converse(top)) = join(converse(top),A) ),
    inference(resolve,[$cnf( $equal(join(A,converse(top)),composition(join(converse(top),A),join(one,join(one,one)))) )],[refute_0_1655,refute_0_1665]) ).

cnf(refute_0_1667,plain,
    join(A,converse(top)) = join(converse(top),A),
    inference(resolve,[$cnf( $equal(composition(join(A,converse(top)),join(one,join(one,one))),composition(join(converse(top),A),join(one,join(one,one)))) )],[refute_0_1523,refute_0_1666]) ).

cnf(refute_0_1668,plain,
    ( join(A,converse(top)) != join(converse(top),A)
    | join(converse(top),A) = join(A,converse(top)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(top)))),bind(Y,$fot(join(converse(top),A)))]]) ).

cnf(refute_0_1669,plain,
    join(converse(top),A) = join(A,converse(top)),
    inference(resolve,[$cnf( $equal(join(A,converse(top)),join(converse(top),A)) )],[refute_0_1667,refute_0_1668]) ).

cnf(refute_0_1670,plain,
    join(converse(top),one) = join(one,converse(top)),
    inference(subst,[],[refute_0_1669:[bind(A,$fot(one))]]) ).

cnf(refute_0_1671,plain,
    ( join(converse(top),one) != join(one,converse(top))
    | join(one,converse(top)) != converse(top)
    | join(converse(top),one) = converse(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(top),one))),bind(Y,$fot(join(one,converse(top)))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1672,plain,
    ( join(one,converse(top)) != converse(top)
    | join(converse(top),one) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(converse(top),one),join(one,converse(top))) )],[refute_0_1670,refute_0_1671]) ).

cnf(refute_0_1673,plain,
    join(converse(top),one) = converse(top),
    inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(top)) )],[refute_0_1278,refute_0_1672]) ).

cnf(refute_0_1674,plain,
    join(converse(top),complement(complement(one))) = join(converse(top),complement(complement(one))),
    introduced(tautology,[refl,[$fot(join(converse(top),complement(complement(one))))]]) ).

cnf(refute_0_1675,plain,
    ( complement(complement(one)) != one
    | join(converse(top),complement(complement(one))) != join(converse(top),complement(complement(one)))
    | join(converse(top),complement(complement(one))) = join(converse(top),one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(complement(one))),join(converse(top),complement(complement(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1676,plain,
    ( complement(complement(one)) != one
    | join(converse(top),complement(complement(one))) = join(converse(top),one) ),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(complement(one))),join(converse(top),complement(complement(one)))) )],[refute_0_1674,refute_0_1675]) ).

cnf(refute_0_1677,plain,
    join(converse(top),complement(complement(one))) = join(converse(top),one),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1251,refute_0_1676]) ).

cnf(refute_0_1678,plain,
    ( join(converse(top),complement(complement(one))) != join(converse(top),one)
    | join(converse(top),one) != converse(top)
    | join(converse(top),complement(complement(one))) = converse(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(top),complement(complement(one))))),bind(Y,$fot(join(converse(top),one))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1679,plain,
    ( join(converse(top),one) != converse(top)
    | join(converse(top),complement(complement(one))) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(complement(one))),join(converse(top),one)) )],[refute_0_1677,refute_0_1678]) ).

cnf(refute_0_1680,plain,
    join(converse(top),complement(complement(one))) = converse(top),
    inference(resolve,[$cnf( $equal(join(converse(top),one),converse(top)) )],[refute_0_1673,refute_0_1679]) ).

cnf(refute_0_1681,plain,
    join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(join(X_60,converse(complement(converse(X_60)))),X_62),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(converse(complement(converse(X_60))))),bind(C,$fot(X_62))]]) ).

cnf(refute_0_1682,plain,
    converse(top) = join(X_60,converse(complement(converse(X_60)))),
    inference(subst,[],[refute_0_122:[bind(X_23,$fot(X_60))]]) ).

cnf(refute_0_1683,plain,
    ( converse(top) != join(X_60,converse(complement(converse(X_60))))
    | join(X_60,converse(complement(converse(X_60)))) = converse(top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_60,converse(complement(converse(X_60))))))]]) ).

cnf(refute_0_1684,plain,
    join(X_60,converse(complement(converse(X_60)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(X_60,converse(complement(converse(X_60))))) )],[refute_0_1682,refute_0_1683]) ).

cnf(refute_0_1685,plain,
    ( join(X_60,converse(complement(converse(X_60)))) != converse(top)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(join(X_60,converse(complement(converse(X_60)))),X_62)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(converse(top),X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),join(join(X_60,converse(complement(converse(X_60)))),X_62)) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_1686,plain,
    ( join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(join(X_60,converse(complement(converse(X_60)))),X_62)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(converse(top),X_62) ),
    inference(resolve,[$cnf( $equal(join(X_60,converse(complement(converse(X_60)))),converse(top)) )],[refute_0_1684,refute_0_1685]) ).

cnf(refute_0_1687,plain,
    join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(converse(top),X_62),
    inference(resolve,[$cnf( $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),join(join(X_60,converse(complement(converse(X_60)))),X_62)) )],[refute_0_1681,refute_0_1686]) ).

cnf(refute_0_1688,plain,
    join(top,join(converse(complement(converse(top))),complement(complement(one)))) = join(converse(top),complement(complement(one))),
    inference(subst,[],[refute_0_1687:[bind(X_60,$fot(top)),bind(X_62,$fot(complement(complement(one))))]]) ).

cnf(refute_0_1689,plain,
    ( join(converse(top),complement(complement(one))) != converse(top)
    | join(top,join(converse(complement(converse(top))),complement(complement(one)))) != join(converse(top),complement(complement(one)))
    | join(top,join(converse(complement(converse(top))),complement(complement(one)))) = converse(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,join(converse(complement(converse(top))),complement(complement(one)))))),bind(Y,$fot(join(converse(top),complement(complement(one))))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1690,plain,
    ( join(converse(top),complement(complement(one))) != converse(top)
    | join(top,join(converse(complement(converse(top))),complement(complement(one)))) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),complement(complement(one)))),join(converse(top),complement(complement(one)))) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    join(top,join(converse(complement(converse(top))),complement(complement(one)))) = converse(top),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(complement(one))),converse(top)) )],[refute_0_1680,refute_0_1690]) ).

cnf(refute_0_1692,plain,
    ( join(top,converse(top)) != join(top,join(converse(complement(converse(top))),complement(complement(one))))
    | join(top,join(converse(complement(converse(top))),complement(complement(one)))) != converse(top)
    | join(top,converse(top)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(top)),converse(top)) ),[0],$fot(join(top,join(converse(complement(converse(top))),complement(complement(one)))))]]) ).

cnf(refute_0_1693,plain,
    ( join(top,converse(top)) != join(top,join(converse(complement(converse(top))),complement(complement(one))))
    | join(top,converse(top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),complement(complement(one)))),converse(top)) )],[refute_0_1691,refute_0_1692]) ).

cnf(refute_0_1694,plain,
    join(top,converse(top)) = converse(top),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,join(converse(complement(converse(top))),complement(complement(one))))) )],[refute_0_947,refute_0_1693]) ).

cnf(refute_0_1695,plain,
    ( converse(join(converse(top),top)) != converse(join(top,converse(top)))
    | join(top,converse(top)) != converse(top)
    | converse(join(converse(top),top)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_1696,plain,
    ( converse(join(converse(top),top)) != converse(join(top,converse(top)))
    | converse(join(converse(top),top)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_1694,refute_0_1695]) ).

cnf(refute_0_1697,plain,
    converse(join(converse(top),top)) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_132,refute_0_1696]) ).

cnf(refute_0_1698,plain,
    converse(join(converse(top),top)) = join(top,converse(top)),
    inference(subst,[],[refute_0_115:[bind(A,$fot(top)),bind(X_20,$fot(top))]]) ).

cnf(refute_0_1699,plain,
    ( converse(join(converse(top),top)) != join(top,converse(top))
    | join(top,converse(top)) != converse(top)
    | converse(join(converse(top),top)) = converse(top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(converse(top),top)))),bind(Y,$fot(join(top,converse(top)))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1700,plain,
    ( join(top,converse(top)) != converse(top)
    | converse(join(converse(top),top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),join(top,converse(top))) )],[refute_0_1698,refute_0_1699]) ).

cnf(refute_0_1701,plain,
    converse(join(converse(top),top)) = converse(top),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_1694,refute_0_1700]) ).

cnf(refute_0_1702,plain,
    ( converse(join(converse(top),top)) != converse(converse(top))
    | converse(join(converse(top),top)) != converse(top)
    | converse(top) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) ),[0],$fot(converse(top))]]) ).

cnf(refute_0_1703,plain,
    ( converse(join(converse(top),top)) != converse(converse(top))
    | converse(top) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(top)) )],[refute_0_1701,refute_0_1702]) ).

cnf(refute_0_1704,plain,
    converse(converse(top)) = top,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(top))]]) ).

cnf(refute_0_1705,plain,
    ( converse(converse(top)) != top
    | converse(top) != converse(converse(top))
    | converse(top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_1706,plain,
    ( converse(top) != converse(converse(top))
    | converse(top) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_1704,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    ( converse(join(converse(top),top)) != converse(converse(top))
    | converse(top) = top ),
    inference(resolve,[$cnf( $equal(converse(top),converse(converse(top))) )],[refute_0_1703,refute_0_1706]) ).

cnf(refute_0_1708,plain,
    converse(top) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) )],[refute_0_1697,refute_0_1707]) ).

cnf(refute_0_1709,plain,
    ( converse(top) != join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))
    | converse(top) != top
    | top = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))) ),[0],$fot(top)]]) ).

cnf(refute_0_1710,plain,
    ( converse(top) != join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))
    | top = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1708,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    top = join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_41,join(X_40,converse(complement(converse(join(X_40,X_41))))))) )],[refute_0_131,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    top = join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))),
    inference(subst,[],[refute_0_1711:[bind(X_40,$fot(sk3)),bind(X_41,$fot(sk2))]]) ).

cnf(refute_0_1713,plain,
    ( top != join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2))))))
    | join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2))))))))]]) ).

cnf(refute_0_1714,plain,
    join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))) = top,
    inference(resolve,[$cnf( $equal(top,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2))))))) )],[refute_0_1712,refute_0_1713]) ).

cnf(refute_0_1715,plain,
    ( join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk1,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))))
    | join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))) != top
    | join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk1,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk1,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1716,plain,
    ( join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk1,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))))
    | join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk1,top) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))),top) )],[refute_0_1714,refute_0_1715]) ).

cnf(refute_0_1717,plain,
    join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk1,top),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk1,join(sk2,join(sk3,converse(complement(converse(join(sk3,sk2)))))))) )],[refute_0_111,refute_0_1716]) ).

cnf(refute_0_1718,plain,
    ( converse(join(X_20,X_19)) != converse(join(X_19,X_20))
    | converse(join(X_19,X_20)) = converse(join(X_20,X_19)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_20,X_19)))),bind(Y,$fot(converse(join(X_19,X_20))))]]) ).

cnf(refute_0_1719,plain,
    converse(join(X_19,X_20)) = converse(join(X_20,X_19)),
    inference(resolve,[$cnf( $equal(converse(join(X_20,X_19)),converse(join(X_19,X_20))) )],[refute_0_69,refute_0_1718]) ).

cnf(refute_0_1720,plain,
    converse(join(sk3,sk2)) = converse(join(sk2,sk3)),
    inference(subst,[],[refute_0_1719:[bind(X_19,$fot(sk3)),bind(X_20,$fot(sk2))]]) ).

cnf(refute_0_1721,plain,
    complement(converse(join(sk3,sk2))) = complement(converse(join(sk3,sk2))),
    introduced(tautology,[refl,[$fot(complement(converse(join(sk3,sk2))))]]) ).

cnf(refute_0_1722,plain,
    ( complement(converse(join(sk3,sk2))) != complement(converse(join(sk3,sk2)))
    | converse(join(sk3,sk2)) != converse(join(sk2,sk3))
    | complement(converse(join(sk3,sk2))) = complement(converse(join(sk2,sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk3,sk2))),complement(converse(join(sk3,sk2)))) ),[1,0],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_1723,plain,
    ( converse(join(sk3,sk2)) != converse(join(sk2,sk3))
    | complement(converse(join(sk3,sk2))) = complement(converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(complement(converse(join(sk3,sk2))),complement(converse(join(sk3,sk2)))) )],[refute_0_1721,refute_0_1722]) ).

cnf(refute_0_1724,plain,
    complement(converse(join(sk3,sk2))) = complement(converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(converse(join(sk3,sk2)),converse(join(sk2,sk3))) )],[refute_0_1720,refute_0_1723]) ).

cnf(refute_0_1725,plain,
    converse(complement(converse(join(sk3,sk2)))) = converse(complement(converse(join(sk3,sk2)))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(join(sk3,sk2)))))]]) ).

cnf(refute_0_1726,plain,
    ( complement(converse(join(sk3,sk2))) != complement(converse(join(sk2,sk3)))
    | converse(complement(converse(join(sk3,sk2)))) != converse(complement(converse(join(sk3,sk2))))
    | converse(complement(converse(join(sk3,sk2)))) = converse(complement(converse(join(sk2,sk3)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(sk3,sk2)))),converse(complement(converse(join(sk3,sk2))))) ),[1,0],$fot(complement(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_1727,plain,
    ( complement(converse(join(sk3,sk2))) != complement(converse(join(sk2,sk3)))
    | converse(complement(converse(join(sk3,sk2)))) = converse(complement(converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(join(sk3,sk2)))),converse(complement(converse(join(sk3,sk2))))) )],[refute_0_1725,refute_0_1726]) ).

cnf(refute_0_1728,plain,
    converse(complement(converse(join(sk3,sk2)))) = converse(complement(converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(complement(converse(join(sk3,sk2))),complement(converse(join(sk2,sk3)))) )],[refute_0_1724,refute_0_1727]) ).

cnf(refute_0_1729,plain,
    join(sk3,converse(complement(converse(join(sk3,sk2))))) = join(sk3,converse(complement(converse(join(sk3,sk2))))),
    introduced(tautology,[refl,[$fot(join(sk3,converse(complement(converse(join(sk3,sk2))))))]]) ).

cnf(refute_0_1730,plain,
    ( converse(complement(converse(join(sk3,sk2)))) != converse(complement(converse(join(sk2,sk3))))
    | join(sk3,converse(complement(converse(join(sk3,sk2))))) != join(sk3,converse(complement(converse(join(sk3,sk2)))))
    | join(sk3,converse(complement(converse(join(sk3,sk2))))) = join(sk3,converse(complement(converse(join(sk2,sk3))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk3,sk2))))),join(sk3,converse(complement(converse(join(sk3,sk2)))))) ),[1,1],$fot(converse(complement(converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_1731,plain,
    ( converse(complement(converse(join(sk3,sk2)))) != converse(complement(converse(join(sk2,sk3))))
    | join(sk3,converse(complement(converse(join(sk3,sk2))))) = join(sk3,converse(complement(converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk3,sk2))))),join(sk3,converse(complement(converse(join(sk3,sk2)))))) )],[refute_0_1729,refute_0_1730]) ).

cnf(refute_0_1732,plain,
    join(sk3,converse(complement(converse(join(sk3,sk2))))) = join(sk3,converse(complement(converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(join(sk3,sk2)))),converse(complement(converse(join(sk2,sk3))))) )],[refute_0_1728,refute_0_1731]) ).

cnf(refute_0_1733,plain,
    join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk3,converse(complement(converse(join(sk3,sk2))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(sk3)),bind(B,$fot(converse(complement(converse(join(sk3,sk2))))))]]) ).

cnf(refute_0_1734,plain,
    ( join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk3,converse(complement(converse(join(sk3,sk2)))))
    | join(sk3,converse(complement(converse(join(sk3,sk2))))) != join(sk3,converse(complement(converse(join(sk2,sk3)))))
    | join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk3,converse(complement(converse(join(sk2,sk3))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(complement(converse(join(sk3,sk2)))),sk3))),bind(Y,$fot(join(sk3,converse(complement(converse(join(sk3,sk2))))))),bind(Z,$fot(join(sk3,converse(complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_1735,plain,
    ( join(sk3,converse(complement(converse(join(sk3,sk2))))) != join(sk3,converse(complement(converse(join(sk2,sk3)))))
    | join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk3,converse(complement(converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk3,converse(complement(converse(join(sk3,sk2)))))) )],[refute_0_1733,refute_0_1734]) ).

cnf(refute_0_1736,plain,
    join(converse(complement(converse(join(sk3,sk2)))),sk3) = join(sk3,converse(complement(converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk3,sk2))))),join(sk3,converse(complement(converse(join(sk2,sk3)))))) )],[refute_0_1732,refute_0_1735]) ).

cnf(refute_0_1737,plain,
    ( join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk1,top)
    | join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk3,converse(complement(converse(join(sk2,sk3)))))
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) = join(sk1,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk1,top)) ),[0],$fot(join(sk3,converse(complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_1738,plain,
    ( join(converse(complement(converse(join(sk3,sk2)))),sk3) != join(sk1,top)
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) = join(sk1,top) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk3,converse(complement(converse(join(sk2,sk3)))))) )],[refute_0_1736,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    join(sk3,converse(complement(converse(join(sk2,sk3))))) = join(sk1,top),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk3,sk2)))),sk3),join(sk1,top)) )],[refute_0_1717,refute_0_1738]) ).

cnf(refute_0_1740,plain,
    join(sk1,join(join(sk2,top),C)) = join(join(sk1,join(sk2,top)),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(join(sk2,top)))]]) ).

cnf(refute_0_1741,plain,
    join(complement(sk3),sk3) = join(sk1,join(sk2,join(sk3,complement(sk3)))),
    inference(subst,[],[refute_0_55:[bind(X_60,$fot(complement(sk3)))]]) ).

cnf(refute_0_1742,plain,
    top = join(sk3,complement(sk3)),
    inference(subst,[],[def_top_12:[bind(A,$fot(sk3))]]) ).

cnf(refute_0_1743,plain,
    ( top != join(sk3,complement(sk3))
    | join(sk3,complement(sk3)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk3,complement(sk3))))]]) ).

cnf(refute_0_1744,plain,
    join(sk3,complement(sk3)) = top,
    inference(resolve,[$cnf( $equal(top,join(sk3,complement(sk3))) )],[refute_0_1742,refute_0_1743]) ).

cnf(refute_0_1745,plain,
    ( join(complement(sk3),sk3) != join(sk1,join(sk2,join(sk3,complement(sk3))))
    | join(sk3,complement(sk3)) != top
    | join(complement(sk3),sk3) = join(sk1,join(sk2,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),sk3),join(sk1,join(sk2,join(sk3,complement(sk3))))) ),[1,1,1],$fot(top)]]) ).

cnf(refute_0_1746,plain,
    ( join(complement(sk3),sk3) != join(sk1,join(sk2,join(sk3,complement(sk3))))
    | join(complement(sk3),sk3) = join(sk1,join(sk2,top)) ),
    inference(resolve,[$cnf( $equal(join(sk3,complement(sk3)),top) )],[refute_0_1744,refute_0_1745]) ).

cnf(refute_0_1747,plain,
    join(complement(sk3),sk3) = join(sk1,join(sk2,top)),
    inference(resolve,[$cnf( $equal(join(complement(sk3),sk3),join(sk1,join(sk2,join(sk3,complement(sk3))))) )],[refute_0_1741,refute_0_1746]) ).

cnf(refute_0_1748,plain,
    join(complement(sk3),sk3) = join(sk3,complement(sk3)),
    inference(subst,[],[refute_0_72:[bind(A,$fot(sk3)),bind(B,$fot(complement(sk3)))]]) ).

cnf(refute_0_1749,plain,
    ( join(complement(sk3),sk3) != join(sk3,complement(sk3))
    | join(sk3,complement(sk3)) != top
    | join(complement(sk3),sk3) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(sk3),sk3))),bind(Y,$fot(join(sk3,complement(sk3)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1750,plain,
    ( join(sk3,complement(sk3)) != top
    | join(complement(sk3),sk3) = top ),
    inference(resolve,[$cnf( $equal(join(complement(sk3),sk3),join(sk3,complement(sk3))) )],[refute_0_1748,refute_0_1749]) ).

cnf(refute_0_1751,plain,
    join(complement(sk3),sk3) = top,
    inference(resolve,[$cnf( $equal(join(sk3,complement(sk3)),top) )],[refute_0_1744,refute_0_1750]) ).

cnf(refute_0_1752,plain,
    ( join(complement(sk3),sk3) != join(sk1,join(sk2,top))
    | join(complement(sk3),sk3) != top
    | top = join(sk1,join(sk2,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),sk3),join(sk1,join(sk2,top))) ),[0],$fot(top)]]) ).

cnf(refute_0_1753,plain,
    ( join(complement(sk3),sk3) != join(sk1,join(sk2,top))
    | top = join(sk1,join(sk2,top)) ),
    inference(resolve,[$cnf( $equal(join(complement(sk3),sk3),top) )],[refute_0_1751,refute_0_1752]) ).

cnf(refute_0_1754,plain,
    top = join(sk1,join(sk2,top)),
    inference(resolve,[$cnf( $equal(join(complement(sk3),sk3),join(sk1,join(sk2,top))) )],[refute_0_1747,refute_0_1753]) ).

cnf(refute_0_1755,plain,
    ( top != join(sk1,join(sk2,top))
    | join(sk1,join(sk2,top)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(sk2,top))))]]) ).

cnf(refute_0_1756,plain,
    join(sk1,join(sk2,top)) = top,
    inference(resolve,[$cnf( $equal(top,join(sk1,join(sk2,top))) )],[refute_0_1754,refute_0_1755]) ).

cnf(refute_0_1757,plain,
    ( join(sk1,join(join(sk2,top),C)) != join(join(sk1,join(sk2,top)),C)
    | join(sk1,join(sk2,top)) != top
    | join(sk1,join(join(sk2,top),C)) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(join(sk1,join(sk2,top)),C)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1758,plain,
    ( join(sk1,join(join(sk2,top),C)) != join(join(sk1,join(sk2,top)),C)
    | join(sk1,join(join(sk2,top),C)) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,top)),top) )],[refute_0_1756,refute_0_1757]) ).

cnf(refute_0_1759,plain,
    join(sk1,join(join(sk2,top),C)) = join(top,C),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(join(sk1,join(sk2,top)),C)) )],[refute_0_1740,refute_0_1758]) ).

cnf(refute_0_1760,plain,
    join(join(sk2,top),C) = join(sk2,join(top,C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk2)),bind(B,$fot(top))]]) ).

cnf(refute_0_1761,plain,
    join(sk1,join(join(sk2,top),C)) = join(sk1,join(join(sk2,top),C)),
    introduced(tautology,[refl,[$fot(join(sk1,join(join(sk2,top),C)))]]) ).

cnf(refute_0_1762,plain,
    ( join(join(sk2,top),C) != join(sk2,join(top,C))
    | join(sk1,join(join(sk2,top),C)) != join(sk1,join(join(sk2,top),C))
    | join(sk1,join(join(sk2,top),C)) = join(sk1,join(sk2,join(top,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(sk1,join(join(sk2,top),C))) ),[1,1],$fot(join(sk2,join(top,C)))]]) ).

cnf(refute_0_1763,plain,
    ( join(join(sk2,top),C) != join(sk2,join(top,C))
    | join(sk1,join(join(sk2,top),C)) = join(sk1,join(sk2,join(top,C))) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(sk1,join(join(sk2,top),C))) )],[refute_0_1761,refute_0_1762]) ).

cnf(refute_0_1764,plain,
    join(sk1,join(join(sk2,top),C)) = join(sk1,join(sk2,join(top,C))),
    inference(resolve,[$cnf( $equal(join(join(sk2,top),C),join(sk2,join(top,C))) )],[refute_0_1760,refute_0_1763]) ).

cnf(refute_0_1765,plain,
    ( join(sk1,join(join(sk2,top),C)) != join(sk1,join(sk2,join(top,C)))
    | join(sk1,join(join(sk2,top),C)) != join(top,C)
    | join(sk1,join(sk2,join(top,C))) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(top,C)) ),[0],$fot(join(sk1,join(sk2,join(top,C))))]]) ).

cnf(refute_0_1766,plain,
    ( join(sk1,join(join(sk2,top),C)) != join(top,C)
    | join(sk1,join(sk2,join(top,C))) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(sk1,join(sk2,join(top,C)))) )],[refute_0_1764,refute_0_1765]) ).

cnf(refute_0_1767,plain,
    join(sk1,join(sk2,join(top,C))) = join(top,C),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,top),C)),join(top,C)) )],[refute_0_1759,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    join(sk1,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))) = join(top,converse(complement(converse(join(top,sk2))))),
    inference(subst,[],[refute_0_1767:[bind(C,$fot(converse(complement(converse(join(top,sk2))))))]]) ).

cnf(refute_0_1769,plain,
    top = join(sk2,join(top,converse(complement(converse(join(top,sk2)))))),
    inference(subst,[],[refute_0_1711:[bind(X_40,$fot(top)),bind(X_41,$fot(sk2))]]) ).

cnf(refute_0_1770,plain,
    ( top != join(sk2,join(top,converse(complement(converse(join(top,sk2))))))
    | join(sk2,join(top,converse(complement(converse(join(top,sk2)))))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk2,join(top,converse(complement(converse(join(top,sk2))))))))]]) ).

cnf(refute_0_1771,plain,
    join(sk2,join(top,converse(complement(converse(join(top,sk2)))))) = top,
    inference(resolve,[$cnf( $equal(top,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))) )],[refute_0_1769,refute_0_1770]) ).

cnf(refute_0_1772,plain,
    ( join(sk1,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))) != join(top,converse(complement(converse(join(top,sk2)))))
    | join(sk2,join(top,converse(complement(converse(join(top,sk2)))))) != top
    | join(sk1,top) = join(top,converse(complement(converse(join(top,sk2))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))),join(top,converse(complement(converse(join(top,sk2)))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1773,plain,
    ( join(sk1,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))) != join(top,converse(complement(converse(join(top,sk2)))))
    | join(sk1,top) = join(top,converse(complement(converse(join(top,sk2))))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(top,converse(complement(converse(join(top,sk2)))))),top) )],[refute_0_1771,refute_0_1772]) ).

cnf(refute_0_1774,plain,
    join(sk1,top) = join(top,converse(complement(converse(join(top,sk2))))),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(top,converse(complement(converse(join(top,sk2))))))),join(top,converse(complement(converse(join(top,sk2)))))) )],[refute_0_1768,refute_0_1773]) ).

cnf(refute_0_1775,plain,
    top = join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_4,join(complement(X_98),meet(X_4,X_98))))),
    inference(subst,[],[refute_0_144:[bind(X_5,$fot(join(complement(X_98),meet(X_4,X_98))))]]) ).

cnf(refute_0_1776,plain,
    A = join(meet(A,join(complement(X_35),meet(A,X_35))),complement(join(complement(A),join(complement(X_35),meet(A,X_35))))),
    inference(subst,[],[refute_0_89:[bind(B,$fot(join(complement(X_35),meet(A,X_35))))]]) ).

cnf(refute_0_1777,plain,
    top = join(complement(A),join(complement(X_35),meet(A,X_35))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(A)),bind(X_5,$fot(X_35))]]) ).

cnf(refute_0_1778,plain,
    ( top != join(complement(A),join(complement(X_35),meet(A,X_35)))
    | join(complement(A),join(complement(X_35),meet(A,X_35))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(A),join(complement(X_35),meet(A,X_35)))))]]) ).

cnf(refute_0_1779,plain,
    join(complement(A),join(complement(X_35),meet(A,X_35))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(A),join(complement(X_35),meet(A,X_35)))) )],[refute_0_1777,refute_0_1778]) ).

cnf(refute_0_1780,plain,
    ( A != join(meet(A,join(complement(X_35),meet(A,X_35))),complement(join(complement(A),join(complement(X_35),meet(A,X_35)))))
    | join(complement(A),join(complement(X_35),meet(A,X_35))) != top
    | A = join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,join(complement(X_35),meet(A,X_35))),complement(join(complement(A),join(complement(X_35),meet(A,X_35)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1781,plain,
    ( A != join(meet(A,join(complement(X_35),meet(A,X_35))),complement(join(complement(A),join(complement(X_35),meet(A,X_35)))))
    | A = join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(A),join(complement(X_35),meet(A,X_35))),top) )],[refute_0_1779,refute_0_1780]) ).

cnf(refute_0_1782,plain,
    A = join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(complement(X_35),meet(A,X_35))),complement(join(complement(A),join(complement(X_35),meet(A,X_35)))))) )],[refute_0_1776,refute_0_1781]) ).

cnf(refute_0_1783,plain,
    join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) = join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))))]]) ).

cnf(refute_0_1784,plain,
    ( complement(top) != zero
    | join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) != join(complement(top),meet(A,join(complement(X_35),meet(A,X_35))))
    | join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))),join(complement(top),meet(A,join(complement(X_35),meet(A,X_35))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1785,plain,
    ( complement(top) != zero
    | join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))),join(complement(top),meet(A,join(complement(X_35),meet(A,X_35))))) )],[refute_0_1783,refute_0_1784]) ).

cnf(refute_0_1786,plain,
    join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1785]) ).

cnf(refute_0_1787,plain,
    join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) = join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(A,join(complement(X_35),meet(A,X_35)))))]]) ).

cnf(refute_0_1788,plain,
    ( join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) != join(zero,meet(A,join(complement(X_35),meet(A,X_35))))
    | join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) != join(complement(top),meet(A,join(complement(X_35),meet(A,X_35))))
    | join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)))),bind(Y,$fot(join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))))),bind(Z,$fot(join(zero,meet(A,join(complement(X_35),meet(A,X_35))))))]]) ).

cnf(refute_0_1789,plain,
    ( join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))) != join(zero,meet(A,join(complement(X_35),meet(A,X_35))))
    | join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)),join(complement(top),meet(A,join(complement(X_35),meet(A,X_35))))) )],[refute_0_1787,refute_0_1788]) ).

cnf(refute_0_1790,plain,
    join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(complement(X_35),meet(A,X_35)))),join(zero,meet(A,join(complement(X_35),meet(A,X_35))))) )],[refute_0_1786,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    ( A != join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top))
    | join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)) != join(zero,meet(A,join(complement(X_35),meet(A,X_35))))
    | A = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,join(zero,meet(A,join(complement(X_35),meet(A,X_35))))) ),[0],$fot(join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)))]]) ).

cnf(refute_0_1792,plain,
    ( A != join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top))
    | A = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top)),join(zero,meet(A,join(complement(X_35),meet(A,X_35))))) )],[refute_0_1790,refute_0_1791]) ).

cnf(refute_0_1793,plain,
    A = join(zero,meet(A,join(complement(X_35),meet(A,X_35)))),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(complement(X_35),meet(A,X_35))),complement(top))) )],[refute_0_1782,refute_0_1792]) ).

cnf(refute_0_1794,plain,
    join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) = meet(A,join(complement(X_35),meet(A,X_35))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(A,join(complement(X_35),meet(A,X_35)))))]]) ).

cnf(refute_0_1795,plain,
    ( A != join(zero,meet(A,join(complement(X_35),meet(A,X_35))))
    | join(zero,meet(A,join(complement(X_35),meet(A,X_35)))) != meet(A,join(complement(X_35),meet(A,X_35)))
    | A = meet(A,join(complement(X_35),meet(A,X_35))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,meet(A,join(complement(X_35),meet(A,X_35)))) ),[0],$fot(join(zero,meet(A,join(complement(X_35),meet(A,X_35)))))]]) ).

cnf(refute_0_1796,plain,
    ( A != join(zero,meet(A,join(complement(X_35),meet(A,X_35))))
    | A = meet(A,join(complement(X_35),meet(A,X_35))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(A,join(complement(X_35),meet(A,X_35)))),meet(A,join(complement(X_35),meet(A,X_35)))) )],[refute_0_1794,refute_0_1795]) ).

cnf(refute_0_1797,plain,
    A = meet(A,join(complement(X_35),meet(A,X_35))),
    inference(resolve,[$cnf( $equal(A,join(zero,meet(A,join(complement(X_35),meet(A,X_35))))) )],[refute_0_1793,refute_0_1796]) ).

cnf(refute_0_1798,plain,
    X_4 = meet(X_4,join(complement(X_98),meet(X_4,X_98))),
    inference(subst,[],[refute_0_1797:[bind(A,$fot(X_4)),bind(X_35,$fot(X_98))]]) ).

cnf(refute_0_1799,plain,
    ( X_4 != meet(X_4,join(complement(X_98),meet(X_4,X_98)))
    | meet(X_4,join(complement(X_98),meet(X_4,X_98))) = X_4 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_4)),bind(Y,$fot(meet(X_4,join(complement(X_98),meet(X_4,X_98)))))]]) ).

cnf(refute_0_1800,plain,
    meet(X_4,join(complement(X_98),meet(X_4,X_98))) = X_4,
    inference(resolve,[$cnf( $equal(X_4,meet(X_4,join(complement(X_98),meet(X_4,X_98)))) )],[refute_0_1798,refute_0_1799]) ).

cnf(refute_0_1801,plain,
    ( meet(X_4,join(complement(X_98),meet(X_4,X_98))) != X_4
    | top != join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_4,join(complement(X_98),meet(X_4,X_98)))))
    | top = join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_4,join(complement(X_98),meet(X_4,X_98)))))) ),[1,1,1],$fot(X_4)]]) ).

cnf(refute_0_1802,plain,
    ( top != join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_4,join(complement(X_98),meet(X_4,X_98)))))
    | top = join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) ),
    inference(resolve,[$cnf( $equal(meet(X_4,join(complement(X_98),meet(X_4,X_98))),X_4) )],[refute_0_1800,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    top = join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)),
    inference(resolve,[$cnf( $equal(top,join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_4,join(complement(X_98),meet(X_4,X_98)))))) )],[refute_0_1775,refute_0_1802]) ).

cnf(refute_0_1804,plain,
    join(complement(X_4),complement(X_5)) = complement(meet(X_4,X_5)),
    inference(subst,[],[refute_0_820:[bind(A,$fot(X_4)),bind(B,$fot(X_5))]]) ).

cnf(refute_0_1805,plain,
    meet(A,join(complement(X_4),complement(X_5))) = meet(A,join(complement(X_4),complement(X_5))),
    introduced(tautology,[refl,[$fot(meet(A,join(complement(X_4),complement(X_5))))]]) ).

cnf(refute_0_1806,plain,
    ( join(complement(X_4),complement(X_5)) != complement(meet(X_4,X_5))
    | meet(A,join(complement(X_4),complement(X_5))) != meet(A,join(complement(X_4),complement(X_5)))
    | meet(A,join(complement(X_4),complement(X_5))) = meet(A,complement(meet(X_4,X_5))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),meet(A,join(complement(X_4),complement(X_5)))) ),[1,1],$fot(complement(meet(X_4,X_5)))]]) ).

cnf(refute_0_1807,plain,
    ( join(complement(X_4),complement(X_5)) != complement(meet(X_4,X_5))
    | meet(A,join(complement(X_4),complement(X_5))) = meet(A,complement(meet(X_4,X_5))) ),
    inference(resolve,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),meet(A,join(complement(X_4),complement(X_5)))) )],[refute_0_1805,refute_0_1806]) ).

cnf(refute_0_1808,plain,
    meet(A,join(complement(X_4),complement(X_5))) = meet(A,complement(meet(X_4,X_5))),
    inference(resolve,[$cnf( $equal(join(complement(X_4),complement(X_5)),complement(meet(X_4,X_5))) )],[refute_0_1804,refute_0_1807]) ).

cnf(refute_0_1809,plain,
    ( meet(A,join(complement(X_4),complement(X_5))) != complement(join(complement(A),meet(X_4,X_5)))
    | meet(A,join(complement(X_4),complement(X_5))) != meet(A,complement(meet(X_4,X_5)))
    | meet(A,complement(meet(X_4,X_5))) = complement(join(complement(A),meet(X_4,X_5))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),complement(join(complement(A),meet(X_4,X_5)))) ),[0],$fot(meet(A,complement(meet(X_4,X_5))))]]) ).

cnf(refute_0_1810,plain,
    ( meet(A,join(complement(X_4),complement(X_5))) != complement(join(complement(A),meet(X_4,X_5)))
    | meet(A,complement(meet(X_4,X_5))) = complement(join(complement(A),meet(X_4,X_5))) ),
    inference(resolve,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),meet(A,complement(meet(X_4,X_5)))) )],[refute_0_1808,refute_0_1809]) ).

cnf(refute_0_1811,plain,
    meet(A,complement(meet(X_4,X_5))) = complement(join(complement(A),meet(X_4,X_5))),
    inference(resolve,[$cnf( $equal(meet(A,join(complement(X_4),complement(X_5))),complement(join(complement(A),meet(X_4,X_5)))) )],[refute_0_297,refute_0_1810]) ).

cnf(refute_0_1812,plain,
    ( meet(A,complement(meet(X_4,X_5))) != complement(join(complement(A),meet(X_4,X_5)))
    | complement(join(complement(A),meet(X_4,X_5))) = meet(A,complement(meet(X_4,X_5))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,complement(meet(X_4,X_5))))),bind(Y,$fot(complement(join(complement(A),meet(X_4,X_5)))))]]) ).

cnf(refute_0_1813,plain,
    complement(join(complement(A),meet(X_4,X_5))) = meet(A,complement(meet(X_4,X_5))),
    inference(resolve,[$cnf( $equal(meet(A,complement(meet(X_4,X_5))),complement(join(complement(A),meet(X_4,X_5)))) )],[refute_0_1811,refute_0_1812]) ).

cnf(refute_0_1814,plain,
    complement(join(complement(X_98),meet(X_4,X_98))) = meet(X_98,complement(meet(X_4,X_98))),
    inference(subst,[],[refute_0_1813:[bind(A,$fot(X_98)),bind(X_5,$fot(X_98))]]) ).

cnf(refute_0_1815,plain,
    join(top,complement(join(complement(X_98),meet(X_4,X_98)))) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))),
    introduced(tautology,[refl,[$fot(join(top,complement(join(complement(X_98),meet(X_4,X_98)))))]]) ).

cnf(refute_0_1816,plain,
    ( complement(join(complement(X_98),meet(X_4,X_98))) != meet(X_98,complement(meet(X_4,X_98)))
    | join(top,complement(join(complement(X_98),meet(X_4,X_98)))) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(top,complement(join(complement(X_98),meet(X_4,X_98)))) = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(complement(X_98),meet(X_4,X_98)))),join(top,complement(join(complement(X_98),meet(X_4,X_98))))) ),[1,1],$fot(meet(X_98,complement(meet(X_4,X_98))))]]) ).

cnf(refute_0_1817,plain,
    ( complement(join(complement(X_98),meet(X_4,X_98))) != meet(X_98,complement(meet(X_4,X_98)))
    | join(top,complement(join(complement(X_98),meet(X_4,X_98)))) = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(X_98),meet(X_4,X_98)))),join(top,complement(join(complement(X_98),meet(X_4,X_98))))) )],[refute_0_1815,refute_0_1816]) ).

cnf(refute_0_1818,plain,
    join(top,complement(join(complement(X_98),meet(X_4,X_98)))) = join(top,meet(X_98,complement(meet(X_4,X_98)))),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_98),meet(X_4,X_98))),meet(X_98,complement(meet(X_4,X_98)))) )],[refute_0_1814,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))),
    inference(subst,[],[refute_0_501:[bind(X_60,$fot(X_4)),bind(X_62,$fot(complement(join(complement(X_98),meet(X_4,X_98)))))]]) ).

cnf(refute_0_1820,plain,
    join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) = join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(X_4)),bind(X_61,$fot(complement(X_4))),bind(X_62,$fot(complement(join(complement(X_98),meet(X_4,X_98)))))]]) ).

cnf(refute_0_1821,plain,
    ( join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) != join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98)))))
    | join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))))),bind(Y,$fot(join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))))),bind(Z,$fot(join(top,complement(join(complement(X_98),meet(X_4,X_98))))))]]) ).

cnf(refute_0_1822,plain,
    ( join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))),join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98)))))) )],[refute_0_1820,refute_0_1821]) ).

cnf(refute_0_1823,plain,
    join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))),
    inference(resolve,[$cnf( $equal(join(X_4,join(complement(X_4),complement(join(complement(X_98),meet(X_4,X_98))))),join(top,complement(join(complement(X_98),meet(X_4,X_98))))) )],[refute_0_1819,refute_0_1822]) ).

cnf(refute_0_1824,plain,
    join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(complement(X_4))),bind(X_61,$fot(complement(join(complement(X_98),meet(X_4,X_98))))),bind(X_62,$fot(X_4))]]) ).

cnf(refute_0_1825,plain,
    ( join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) != join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98)))))
    | join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)))),bind(Y,$fot(join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))))),bind(Z,$fot(join(top,complement(join(complement(X_98),meet(X_4,X_98))))))]]) ).

cnf(refute_0_1826,plain,
    ( join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)),join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98)))))) )],[refute_0_1824,refute_0_1825]) ).

cnf(refute_0_1827,plain,
    join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,complement(join(complement(X_98),meet(X_4,X_98)))),
    inference(resolve,[$cnf( $equal(join(complement(X_4),join(X_4,complement(join(complement(X_98),meet(X_4,X_98))))),join(top,complement(join(complement(X_98),meet(X_4,X_98))))) )],[refute_0_1823,refute_0_1826]) ).

cnf(refute_0_1828,plain,
    ( join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) != join(top,complement(join(complement(X_98),meet(X_4,X_98))))
    | join(top,complement(join(complement(X_98),meet(X_4,X_98)))) != join(top,meet(X_98,complement(meet(X_4,X_98))))
    | join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)))),bind(Y,$fot(join(top,complement(join(complement(X_98),meet(X_4,X_98)))))),bind(Z,$fot(join(top,meet(X_98,complement(meet(X_4,X_98))))))]]) ).

cnf(refute_0_1829,plain,
    ( join(top,complement(join(complement(X_98),meet(X_4,X_98)))) != join(top,meet(X_98,complement(meet(X_4,X_98))))
    | join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)),join(top,complement(join(complement(X_98),meet(X_4,X_98))))) )],[refute_0_1827,refute_0_1828]) ).

cnf(refute_0_1830,plain,
    join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) = join(top,meet(X_98,complement(meet(X_4,X_98)))),
    inference(resolve,[$cnf( $equal(join(top,complement(join(complement(X_98),meet(X_4,X_98)))),join(top,meet(X_98,complement(meet(X_4,X_98))))) )],[refute_0_1818,refute_0_1829]) ).

cnf(refute_0_1831,plain,
    ( join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)) != join(top,meet(X_98,complement(meet(X_4,X_98))))
    | top != join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4))
    | top = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4))) ),[1],$fot(join(top,meet(X_98,complement(meet(X_4,X_98)))))]]) ).

cnf(refute_0_1832,plain,
    ( top != join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4))
    | top = join(top,meet(X_98,complement(meet(X_4,X_98)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4)),join(top,meet(X_98,complement(meet(X_4,X_98))))) )],[refute_0_1830,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    top = join(top,meet(X_98,complement(meet(X_4,X_98)))),
    inference(resolve,[$cnf( $equal(top,join(complement(X_4),join(complement(join(complement(X_98),meet(X_4,X_98))),X_4))) )],[refute_0_1803,refute_0_1832]) ).

cnf(refute_0_1834,plain,
    top = join(top,meet(complement(X_104),complement(meet(X_104,complement(X_104))))),
    inference(subst,[],[refute_0_1833:[bind(X_4,$fot(X_104)),bind(X_98,$fot(complement(X_104)))]]) ).

cnf(refute_0_1835,plain,
    zero = meet(X_104,complement(X_104)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(X_104))]]) ).

cnf(refute_0_1836,plain,
    ( zero != meet(X_104,complement(X_104))
    | meet(X_104,complement(X_104)) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_104,complement(X_104))))]]) ).

cnf(refute_0_1837,plain,
    meet(X_104,complement(X_104)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_104,complement(X_104))) )],[refute_0_1835,refute_0_1836]) ).

cnf(refute_0_1838,plain,
    ( meet(X_104,complement(X_104)) != zero
    | top != join(top,meet(complement(X_104),complement(meet(X_104,complement(X_104)))))
    | top = join(top,meet(complement(X_104),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,meet(complement(X_104),complement(meet(X_104,complement(X_104)))))) ),[1,1,1,0],$fot(zero)]]) ).

cnf(refute_0_1839,plain,
    ( top != join(top,meet(complement(X_104),complement(meet(X_104,complement(X_104)))))
    | top = join(top,meet(complement(X_104),complement(zero))) ),
    inference(resolve,[$cnf( $equal(meet(X_104,complement(X_104)),zero) )],[refute_0_1837,refute_0_1838]) ).

cnf(refute_0_1840,plain,
    top = join(top,meet(complement(X_104),complement(zero))),
    inference(resolve,[$cnf( $equal(top,join(top,meet(complement(X_104),complement(meet(X_104,complement(X_104)))))) )],[refute_0_1834,refute_0_1839]) ).

cnf(refute_0_1841,plain,
    meet(X_55,top) = join(meet(meet(X_55,top),join(zero,complement(X_55))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),
    inference(subst,[],[refute_0_89:[bind(A,$fot(meet(X_55,top))),bind(B,$fot(join(zero,complement(X_55))))]]) ).

cnf(refute_0_1842,plain,
    meet(X_54,top) = meet(top,X_54),
    inference(subst,[],[refute_0_306:[bind(A,$fot(X_54)),bind(B,$fot(top))]]) ).

cnf(refute_0_1843,plain,
    ( meet(X_54,top) != meet(top,X_54)
    | meet(top,X_54) = meet(X_54,top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_54,top))),bind(Y,$fot(meet(top,X_54)))]]) ).

cnf(refute_0_1844,plain,
    meet(top,X_54) = meet(X_54,top),
    inference(resolve,[$cnf( $equal(meet(X_54,top),meet(top,X_54)) )],[refute_0_1842,refute_0_1843]) ).

cnf(refute_0_1845,plain,
    ( meet(top,X_54) != meet(X_54,top)
    | zero != meet(meet(top,X_54),join(zero,complement(X_54)))
    | zero = meet(meet(X_54,top),join(zero,complement(X_54))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,X_54),join(zero,complement(X_54)))) ),[1,0],$fot(meet(X_54,top))]]) ).

cnf(refute_0_1846,plain,
    ( zero != meet(meet(top,X_54),join(zero,complement(X_54)))
    | zero = meet(meet(X_54,top),join(zero,complement(X_54))) ),
    inference(resolve,[$cnf( $equal(meet(top,X_54),meet(X_54,top)) )],[refute_0_1844,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    zero = meet(meet(X_54,top),join(zero,complement(X_54))),
    inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_54),join(zero,complement(X_54)))) )],[refute_0_723,refute_0_1846]) ).

cnf(refute_0_1848,plain,
    zero = meet(meet(X_55,top),join(zero,complement(X_55))),
    inference(subst,[],[refute_0_1847:[bind(X_54,$fot(X_55))]]) ).

cnf(refute_0_1849,plain,
    ( zero != meet(meet(X_55,top),join(zero,complement(X_55)))
    | meet(meet(X_55,top),join(zero,complement(X_55))) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_55,top),join(zero,complement(X_55)))))]]) ).

cnf(refute_0_1850,plain,
    meet(meet(X_55,top),join(zero,complement(X_55))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(meet(X_55,top),join(zero,complement(X_55)))) )],[refute_0_1848,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    ( meet(X_55,top) != join(meet(meet(X_55,top),join(zero,complement(X_55))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))
    | meet(meet(X_55,top),join(zero,complement(X_55))) != zero
    | meet(X_55,top) = join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_55,top),join(meet(meet(X_55,top),join(zero,complement(X_55))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1852,plain,
    ( meet(X_55,top) != join(meet(meet(X_55,top),join(zero,complement(X_55))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))
    | meet(X_55,top) = join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_55,top),join(zero,complement(X_55))),zero) )],[refute_0_1850,refute_0_1851]) ).

cnf(refute_0_1853,plain,
    meet(X_55,top) = join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),
    inference(resolve,[$cnf( $equal(meet(X_55,top),join(meet(meet(X_55,top),join(zero,complement(X_55))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) )],[refute_0_1841,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    join(zero,join(complement(meet(X_55,top)),complement(X_55))) = join(zero,join(complement(X_55),complement(meet(X_55,top)))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(zero)),bind(X_61,$fot(complement(meet(X_55,top)))),bind(X_62,$fot(complement(X_55)))]]) ).

cnf(refute_0_1855,plain,
    join(complement(meet(X_55,top)),join(zero,complement(X_55))) = join(zero,join(complement(meet(X_55,top)),complement(X_55))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(zero)),bind(X_61,$fot(complement(meet(X_55,top)))),bind(X_62,$fot(complement(X_55)))]]) ).

cnf(refute_0_1856,plain,
    ( join(complement(meet(X_55,top)),join(zero,complement(X_55))) != join(zero,join(complement(meet(X_55,top)),complement(X_55)))
    | join(zero,join(complement(meet(X_55,top)),complement(X_55))) != join(zero,join(complement(X_55),complement(meet(X_55,top))))
    | join(complement(meet(X_55,top)),join(zero,complement(X_55))) = join(zero,join(complement(X_55),complement(meet(X_55,top)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),bind(Y,$fot(join(zero,join(complement(meet(X_55,top)),complement(X_55))))),bind(Z,$fot(join(zero,join(complement(X_55),complement(meet(X_55,top))))))]]) ).

cnf(refute_0_1857,plain,
    ( join(zero,join(complement(meet(X_55,top)),complement(X_55))) != join(zero,join(complement(X_55),complement(meet(X_55,top))))
    | join(complement(meet(X_55,top)),join(zero,complement(X_55))) = join(zero,join(complement(X_55),complement(meet(X_55,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_55,top)),join(zero,complement(X_55))),join(zero,join(complement(meet(X_55,top)),complement(X_55)))) )],[refute_0_1855,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    join(complement(meet(X_55,top)),join(zero,complement(X_55))) = join(zero,join(complement(X_55),complement(meet(X_55,top)))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(X_55,top)),complement(X_55))),join(zero,join(complement(X_55),complement(meet(X_55,top))))) )],[refute_0_1854,refute_0_1857]) ).

cnf(refute_0_1859,plain,
    complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) = complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))),
    introduced(tautology,[refl,[$fot(complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))]]) ).

cnf(refute_0_1860,plain,
    ( complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) != complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))
    | join(complement(meet(X_55,top)),join(zero,complement(X_55))) != join(zero,join(complement(X_55),complement(meet(X_55,top))))
    | complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) = complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) ),[1,0],$fot(join(zero,join(complement(X_55),complement(meet(X_55,top)))))]]) ).

cnf(refute_0_1861,plain,
    ( join(complement(meet(X_55,top)),join(zero,complement(X_55))) != join(zero,join(complement(X_55),complement(meet(X_55,top))))
    | complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) = complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))),complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) )],[refute_0_1859,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) = complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_55,top)),join(zero,complement(X_55))),join(zero,join(complement(X_55),complement(meet(X_55,top))))) )],[refute_0_1858,refute_0_1861]) ).

cnf(refute_0_1863,plain,
    join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) = join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))))]]) ).

cnf(refute_0_1864,plain,
    ( complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) != complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))
    | join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) != join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))
    | join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))]]) ).

cnf(refute_0_1865,plain,
    ( complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))) != complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))
    | join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) )],[refute_0_1863,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))),complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) )],[refute_0_1862,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    ( join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))) != join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))
    | meet(X_55,top) != join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))
    | meet(X_55,top) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_55,top),join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))))]]) ).

cnf(refute_0_1868,plain,
    ( meet(X_55,top) != join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))
    | meet(X_55,top) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55))))),join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))) )],[refute_0_1866,refute_0_1867]) ).

cnf(refute_0_1869,plain,
    meet(X_55,top) = join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),
    inference(resolve,[$cnf( $equal(meet(X_55,top),join(zero,complement(join(complement(meet(X_55,top)),join(zero,complement(X_55)))))) )],[refute_0_1853,refute_0_1868]) ).

cnf(refute_0_1870,plain,
    complement(complement(X_55)) = X_55,
    inference(subst,[],[refute_0_805:[bind(X_54,$fot(X_55))]]) ).

cnf(refute_0_1871,plain,
    A = join(meet(A,join(zero,meet(A,top))),complement(join(complement(A),join(zero,meet(A,top))))),
    inference(subst,[],[refute_0_89:[bind(B,$fot(join(zero,meet(A,top))))]]) ).

cnf(refute_0_1872,plain,
    top = join(complement(X_34),join(complement(top),meet(X_34,top))),
    inference(subst,[],[refute_0_144:[bind(X_4,$fot(X_34)),bind(X_5,$fot(top))]]) ).

cnf(refute_0_1873,plain,
    ( complement(top) != zero
    | top != join(complement(X_34),join(complement(top),meet(X_34,top)))
    | top = join(complement(X_34),join(zero,meet(X_34,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),join(complement(top),meet(X_34,top)))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_1874,plain,
    ( top != join(complement(X_34),join(complement(top),meet(X_34,top)))
    | top = join(complement(X_34),join(zero,meet(X_34,top))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1873]) ).

cnf(refute_0_1875,plain,
    top = join(complement(X_34),join(zero,meet(X_34,top))),
    inference(resolve,[$cnf( $equal(top,join(complement(X_34),join(complement(top),meet(X_34,top)))) )],[refute_0_1872,refute_0_1874]) ).

cnf(refute_0_1876,plain,
    top = join(complement(A),join(zero,meet(A,top))),
    inference(subst,[],[refute_0_1875:[bind(X_34,$fot(A))]]) ).

cnf(refute_0_1877,plain,
    ( top != join(complement(A),join(zero,meet(A,top)))
    | join(complement(A),join(zero,meet(A,top))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(A),join(zero,meet(A,top)))))]]) ).

cnf(refute_0_1878,plain,
    join(complement(A),join(zero,meet(A,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(A),join(zero,meet(A,top)))) )],[refute_0_1876,refute_0_1877]) ).

cnf(refute_0_1879,plain,
    ( A != join(meet(A,join(zero,meet(A,top))),complement(join(complement(A),join(zero,meet(A,top)))))
    | join(complement(A),join(zero,meet(A,top))) != top
    | A = join(meet(A,join(zero,meet(A,top))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,join(zero,meet(A,top))),complement(join(complement(A),join(zero,meet(A,top)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1880,plain,
    ( A != join(meet(A,join(zero,meet(A,top))),complement(join(complement(A),join(zero,meet(A,top)))))
    | A = join(meet(A,join(zero,meet(A,top))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(A),join(zero,meet(A,top))),top) )],[refute_0_1878,refute_0_1879]) ).

cnf(refute_0_1881,plain,
    A = join(meet(A,join(zero,meet(A,top))),complement(top)),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(zero,meet(A,top))),complement(join(complement(A),join(zero,meet(A,top)))))) )],[refute_0_1871,refute_0_1880]) ).

cnf(refute_0_1882,plain,
    join(complement(top),meet(A,join(zero,meet(A,top)))) = join(complement(top),meet(A,join(zero,meet(A,top)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(A,join(zero,meet(A,top)))))]]) ).

cnf(refute_0_1883,plain,
    ( complement(top) != zero
    | join(complement(top),meet(A,join(zero,meet(A,top)))) != join(complement(top),meet(A,join(zero,meet(A,top))))
    | join(complement(top),meet(A,join(zero,meet(A,top)))) = join(zero,meet(A,join(zero,meet(A,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(A,join(zero,meet(A,top)))),join(complement(top),meet(A,join(zero,meet(A,top))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1884,plain,
    ( complement(top) != zero
    | join(complement(top),meet(A,join(zero,meet(A,top)))) = join(zero,meet(A,join(zero,meet(A,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(zero,meet(A,top)))),join(complement(top),meet(A,join(zero,meet(A,top))))) )],[refute_0_1882,refute_0_1883]) ).

cnf(refute_0_1885,plain,
    join(complement(top),meet(A,join(zero,meet(A,top)))) = join(zero,meet(A,join(zero,meet(A,top)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_1884]) ).

cnf(refute_0_1886,plain,
    join(meet(A,join(zero,meet(A,top))),complement(top)) = join(complement(top),meet(A,join(zero,meet(A,top)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(A,join(zero,meet(A,top)))))]]) ).

cnf(refute_0_1887,plain,
    ( join(complement(top),meet(A,join(zero,meet(A,top)))) != join(zero,meet(A,join(zero,meet(A,top))))
    | join(meet(A,join(zero,meet(A,top))),complement(top)) != join(complement(top),meet(A,join(zero,meet(A,top))))
    | join(meet(A,join(zero,meet(A,top))),complement(top)) = join(zero,meet(A,join(zero,meet(A,top)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(A,join(zero,meet(A,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(A,join(zero,meet(A,top)))))),bind(Z,$fot(join(zero,meet(A,join(zero,meet(A,top))))))]]) ).

cnf(refute_0_1888,plain,
    ( join(complement(top),meet(A,join(zero,meet(A,top)))) != join(zero,meet(A,join(zero,meet(A,top))))
    | join(meet(A,join(zero,meet(A,top))),complement(top)) = join(zero,meet(A,join(zero,meet(A,top)))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(zero,meet(A,top))),complement(top)),join(complement(top),meet(A,join(zero,meet(A,top))))) )],[refute_0_1886,refute_0_1887]) ).

cnf(refute_0_1889,plain,
    join(meet(A,join(zero,meet(A,top))),complement(top)) = join(zero,meet(A,join(zero,meet(A,top)))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(zero,meet(A,top)))),join(zero,meet(A,join(zero,meet(A,top))))) )],[refute_0_1885,refute_0_1888]) ).

cnf(refute_0_1890,plain,
    ( A != join(meet(A,join(zero,meet(A,top))),complement(top))
    | join(meet(A,join(zero,meet(A,top))),complement(top)) != join(zero,meet(A,join(zero,meet(A,top))))
    | A = join(zero,meet(A,join(zero,meet(A,top)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,join(zero,meet(A,join(zero,meet(A,top))))) ),[0],$fot(join(meet(A,join(zero,meet(A,top))),complement(top)))]]) ).

cnf(refute_0_1891,plain,
    ( A != join(meet(A,join(zero,meet(A,top))),complement(top))
    | A = join(zero,meet(A,join(zero,meet(A,top)))) ),
    inference(resolve,[$cnf( $equal(join(meet(A,join(zero,meet(A,top))),complement(top)),join(zero,meet(A,join(zero,meet(A,top))))) )],[refute_0_1889,refute_0_1890]) ).

cnf(refute_0_1892,plain,
    A = join(zero,meet(A,join(zero,meet(A,top)))),
    inference(resolve,[$cnf( $equal(A,join(meet(A,join(zero,meet(A,top))),complement(top))) )],[refute_0_1881,refute_0_1891]) ).

cnf(refute_0_1893,plain,
    join(zero,meet(A,top)) = meet(A,top),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(A,top)))]]) ).

cnf(refute_0_1894,plain,
    meet(A,join(zero,meet(A,top))) = meet(A,join(zero,meet(A,top))),
    introduced(tautology,[refl,[$fot(meet(A,join(zero,meet(A,top))))]]) ).

cnf(refute_0_1895,plain,
    ( join(zero,meet(A,top)) != meet(A,top)
    | meet(A,join(zero,meet(A,top))) != meet(A,join(zero,meet(A,top)))
    | meet(A,join(zero,meet(A,top))) = meet(A,meet(A,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,meet(A,top))),meet(A,join(zero,meet(A,top)))) ),[1,1],$fot(meet(A,top))]]) ).

cnf(refute_0_1896,plain,
    ( join(zero,meet(A,top)) != meet(A,top)
    | meet(A,join(zero,meet(A,top))) = meet(A,meet(A,top)) ),
    inference(resolve,[$cnf( $equal(meet(A,join(zero,meet(A,top))),meet(A,join(zero,meet(A,top)))) )],[refute_0_1894,refute_0_1895]) ).

cnf(refute_0_1897,plain,
    meet(A,join(zero,meet(A,top))) = meet(A,meet(A,top)),
    inference(resolve,[$cnf( $equal(join(zero,meet(A,top)),meet(A,top)) )],[refute_0_1893,refute_0_1896]) ).

cnf(refute_0_1898,plain,
    join(zero,meet(A,join(zero,meet(A,top)))) = meet(A,join(zero,meet(A,top))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(A,join(zero,meet(A,top)))))]]) ).

cnf(refute_0_1899,plain,
    ( join(zero,meet(A,join(zero,meet(A,top)))) != meet(A,join(zero,meet(A,top)))
    | meet(A,join(zero,meet(A,top))) != meet(A,meet(A,top))
    | join(zero,meet(A,join(zero,meet(A,top)))) = meet(A,meet(A,top)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(A,join(zero,meet(A,top)))))),bind(Y,$fot(meet(A,join(zero,meet(A,top))))),bind(Z,$fot(meet(A,meet(A,top))))]]) ).

cnf(refute_0_1900,plain,
    ( meet(A,join(zero,meet(A,top))) != meet(A,meet(A,top))
    | join(zero,meet(A,join(zero,meet(A,top)))) = meet(A,meet(A,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(A,join(zero,meet(A,top)))),meet(A,join(zero,meet(A,top)))) )],[refute_0_1898,refute_0_1899]) ).

cnf(refute_0_1901,plain,
    join(zero,meet(A,join(zero,meet(A,top)))) = meet(A,meet(A,top)),
    inference(resolve,[$cnf( $equal(meet(A,join(zero,meet(A,top))),meet(A,meet(A,top))) )],[refute_0_1897,refute_0_1900]) ).

cnf(refute_0_1902,plain,
    ( A != join(zero,meet(A,join(zero,meet(A,top))))
    | join(zero,meet(A,join(zero,meet(A,top)))) != meet(A,meet(A,top))
    | A = meet(A,meet(A,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,meet(A,meet(A,top))) ),[0],$fot(join(zero,meet(A,join(zero,meet(A,top)))))]]) ).

cnf(refute_0_1903,plain,
    ( A != join(zero,meet(A,join(zero,meet(A,top))))
    | A = meet(A,meet(A,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(A,join(zero,meet(A,top)))),meet(A,meet(A,top))) )],[refute_0_1901,refute_0_1902]) ).

cnf(refute_0_1904,plain,
    A = meet(A,meet(A,top)),
    inference(resolve,[$cnf( $equal(A,join(zero,meet(A,join(zero,meet(A,top))))) )],[refute_0_1892,refute_0_1903]) ).

cnf(refute_0_1905,plain,
    ( A != meet(A,meet(A,top))
    | meet(A,meet(A,top)) = A ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(meet(A,meet(A,top))))]]) ).

cnf(refute_0_1906,plain,
    meet(A,meet(A,top)) = A,
    inference(resolve,[$cnf( $equal(A,meet(A,meet(A,top))) )],[refute_0_1904,refute_0_1905]) ).

cnf(refute_0_1907,plain,
    meet(X_55,meet(X_55,top)) = X_55,
    inference(subst,[],[refute_0_1906:[bind(A,$fot(X_55))]]) ).

cnf(refute_0_1908,plain,
    complement(meet(X_55,meet(X_55,top))) = complement(meet(X_55,meet(X_55,top))),
    introduced(tautology,[refl,[$fot(complement(meet(X_55,meet(X_55,top))))]]) ).

cnf(refute_0_1909,plain,
    ( complement(meet(X_55,meet(X_55,top))) != complement(meet(X_55,meet(X_55,top)))
    | meet(X_55,meet(X_55,top)) != X_55
    | complement(meet(X_55,meet(X_55,top))) = complement(X_55) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_55,meet(X_55,top))),complement(meet(X_55,meet(X_55,top)))) ),[1,0],$fot(X_55)]]) ).

cnf(refute_0_1910,plain,
    ( meet(X_55,meet(X_55,top)) != X_55
    | complement(meet(X_55,meet(X_55,top))) = complement(X_55) ),
    inference(resolve,[$cnf( $equal(complement(meet(X_55,meet(X_55,top))),complement(meet(X_55,meet(X_55,top)))) )],[refute_0_1908,refute_0_1909]) ).

cnf(refute_0_1911,plain,
    complement(meet(X_55,meet(X_55,top))) = complement(X_55),
    inference(resolve,[$cnf( $equal(meet(X_55,meet(X_55,top)),X_55) )],[refute_0_1907,refute_0_1910]) ).

cnf(refute_0_1912,plain,
    join(complement(X_55),complement(meet(X_55,top))) = complement(meet(X_55,meet(X_55,top))),
    inference(subst,[],[refute_0_820:[bind(A,$fot(X_55)),bind(B,$fot(meet(X_55,top)))]]) ).

cnf(refute_0_1913,plain,
    join(zero,join(complement(X_55),complement(meet(X_55,top)))) = join(complement(X_55),complement(meet(X_55,top))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(join(complement(X_55),complement(meet(X_55,top)))))]]) ).

cnf(refute_0_1914,plain,
    ( join(complement(X_55),complement(meet(X_55,top))) != complement(meet(X_55,meet(X_55,top)))
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) != join(complement(X_55),complement(meet(X_55,top)))
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(meet(X_55,meet(X_55,top))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),bind(Y,$fot(join(complement(X_55),complement(meet(X_55,top))))),bind(Z,$fot(complement(meet(X_55,meet(X_55,top)))))]]) ).

cnf(refute_0_1915,plain,
    ( join(complement(X_55),complement(meet(X_55,top))) != complement(meet(X_55,meet(X_55,top)))
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(meet(X_55,meet(X_55,top))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_55),complement(meet(X_55,top)))),join(complement(X_55),complement(meet(X_55,top)))) )],[refute_0_1913,refute_0_1914]) ).

cnf(refute_0_1916,plain,
    join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(meet(X_55,meet(X_55,top))),
    inference(resolve,[$cnf( $equal(join(complement(X_55),complement(meet(X_55,top))),complement(meet(X_55,meet(X_55,top)))) )],[refute_0_1912,refute_0_1915]) ).

cnf(refute_0_1917,plain,
    ( complement(meet(X_55,meet(X_55,top))) != complement(X_55)
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) != complement(meet(X_55,meet(X_55,top)))
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(X_55) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),bind(Y,$fot(complement(meet(X_55,meet(X_55,top))))),bind(Z,$fot(complement(X_55)))]]) ).

cnf(refute_0_1918,plain,
    ( complement(meet(X_55,meet(X_55,top))) != complement(X_55)
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(X_55) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_55),complement(meet(X_55,top)))),complement(meet(X_55,meet(X_55,top)))) )],[refute_0_1916,refute_0_1917]) ).

cnf(refute_0_1919,plain,
    join(zero,join(complement(X_55),complement(meet(X_55,top)))) = complement(X_55),
    inference(resolve,[$cnf( $equal(complement(meet(X_55,meet(X_55,top))),complement(X_55)) )],[refute_0_1911,refute_0_1918]) ).

cnf(refute_0_1920,plain,
    complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),
    introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))]]) ).

cnf(refute_0_1921,plain,
    ( complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) != complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))
    | join(zero,join(complement(X_55),complement(meet(X_55,top)))) != complement(X_55)
    | complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = complement(complement(X_55)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) ),[1,0],$fot(complement(X_55))]]) ).

cnf(refute_0_1922,plain,
    ( join(zero,join(complement(X_55),complement(meet(X_55,top)))) != complement(X_55)
    | complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = complement(complement(X_55)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) )],[refute_0_1920,refute_0_1921]) ).

cnf(refute_0_1923,plain,
    complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = complement(complement(X_55)),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_55),complement(meet(X_55,top)))),complement(X_55)) )],[refute_0_1919,refute_0_1922]) ).

cnf(refute_0_1924,plain,
    ( complement(complement(X_55)) != X_55
    | complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) != complement(complement(X_55))
    | complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = X_55 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))),bind(Y,$fot(complement(complement(X_55)))),bind(Z,$fot(X_55))]]) ).

cnf(refute_0_1925,plain,
    ( complement(complement(X_55)) != X_55
    | complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = X_55 ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),complement(complement(X_55))) )],[refute_0_1923,refute_0_1924]) ).

cnf(refute_0_1926,plain,
    complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) = X_55,
    inference(resolve,[$cnf( $equal(complement(complement(X_55)),X_55) )],[refute_0_1870,refute_0_1925]) ).

cnf(refute_0_1927,plain,
    join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) = complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))))]]) ).

cnf(refute_0_1928,plain,
    ( complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) != X_55
    | join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) != complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))
    | join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) = X_55 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))))),bind(Y,$fot(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))),bind(Z,$fot(X_55))]]) ).

cnf(refute_0_1929,plain,
    ( complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))) != X_55
    | join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) = X_55 ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) )],[refute_0_1927,refute_0_1928]) ).

cnf(refute_0_1930,plain,
    join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) = X_55,
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))),X_55) )],[refute_0_1926,refute_0_1929]) ).

cnf(refute_0_1931,plain,
    ( join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))) != X_55
    | meet(X_55,top) != join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))
    | meet(X_55,top) = X_55 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_55,top),join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))) ),[1],$fot(X_55)]]) ).

cnf(refute_0_1932,plain,
    ( meet(X_55,top) != join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))
    | meet(X_55,top) = X_55 ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top)))))),X_55) )],[refute_0_1930,refute_0_1931]) ).

cnf(refute_0_1933,plain,
    meet(X_55,top) = X_55,
    inference(resolve,[$cnf( $equal(meet(X_55,top),join(zero,complement(join(zero,join(complement(X_55),complement(meet(X_55,top))))))) )],[refute_0_1869,refute_0_1932]) ).

cnf(refute_0_1934,plain,
    meet(complement(X_104),top) = complement(X_104),
    inference(subst,[],[refute_0_1933:[bind(X_55,$fot(complement(X_104)))]]) ).

cnf(refute_0_1935,plain,
    meet(complement(X_104),complement(zero)) = meet(complement(X_104),complement(zero)),
    introduced(tautology,[refl,[$fot(meet(complement(X_104),complement(zero)))]]) ).

cnf(refute_0_1936,plain,
    ( complement(zero) != top
    | meet(complement(X_104),complement(zero)) != meet(complement(X_104),complement(zero))
    | meet(complement(X_104),complement(zero)) = meet(complement(X_104),top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_104),complement(zero)),meet(complement(X_104),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1937,plain,
    ( complement(zero) != top
    | meet(complement(X_104),complement(zero)) = meet(complement(X_104),top) ),
    inference(resolve,[$cnf( $equal(meet(complement(X_104),complement(zero)),meet(complement(X_104),complement(zero))) )],[refute_0_1935,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    meet(complement(X_104),complement(zero)) = meet(complement(X_104),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1469,refute_0_1937]) ).

cnf(refute_0_1939,plain,
    ( meet(complement(X_104),complement(zero)) != meet(complement(X_104),top)
    | meet(complement(X_104),top) != complement(X_104)
    | meet(complement(X_104),complement(zero)) = complement(X_104) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(X_104),complement(zero)))),bind(Y,$fot(meet(complement(X_104),top))),bind(Z,$fot(complement(X_104)))]]) ).

cnf(refute_0_1940,plain,
    ( meet(complement(X_104),top) != complement(X_104)
    | meet(complement(X_104),complement(zero)) = complement(X_104) ),
    inference(resolve,[$cnf( $equal(meet(complement(X_104),complement(zero)),meet(complement(X_104),top)) )],[refute_0_1938,refute_0_1939]) ).

cnf(refute_0_1941,plain,
    meet(complement(X_104),complement(zero)) = complement(X_104),
    inference(resolve,[$cnf( $equal(meet(complement(X_104),top),complement(X_104)) )],[refute_0_1934,refute_0_1940]) ).

cnf(refute_0_1942,plain,
    join(top,meet(complement(X_104),complement(zero))) = join(top,meet(complement(X_104),complement(zero))),
    introduced(tautology,[refl,[$fot(join(top,meet(complement(X_104),complement(zero))))]]) ).

cnf(refute_0_1943,plain,
    ( join(top,meet(complement(X_104),complement(zero))) != join(top,meet(complement(X_104),complement(zero)))
    | meet(complement(X_104),complement(zero)) != complement(X_104)
    | join(top,meet(complement(X_104),complement(zero))) = join(top,complement(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,meet(complement(X_104),complement(zero))),join(top,meet(complement(X_104),complement(zero)))) ),[1,1],$fot(complement(X_104))]]) ).

cnf(refute_0_1944,plain,
    ( meet(complement(X_104),complement(zero)) != complement(X_104)
    | join(top,meet(complement(X_104),complement(zero))) = join(top,complement(X_104)) ),
    inference(resolve,[$cnf( $equal(join(top,meet(complement(X_104),complement(zero))),join(top,meet(complement(X_104),complement(zero)))) )],[refute_0_1942,refute_0_1943]) ).

cnf(refute_0_1945,plain,
    join(top,meet(complement(X_104),complement(zero))) = join(top,complement(X_104)),
    inference(resolve,[$cnf( $equal(meet(complement(X_104),complement(zero)),complement(X_104)) )],[refute_0_1941,refute_0_1944]) ).

cnf(refute_0_1946,plain,
    ( join(top,meet(complement(X_104),complement(zero))) != join(top,complement(X_104))
    | top != join(top,meet(complement(X_104),complement(zero)))
    | top = join(top,complement(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,meet(complement(X_104),complement(zero)))) ),[1],$fot(join(top,complement(X_104)))]]) ).

cnf(refute_0_1947,plain,
    ( top != join(top,meet(complement(X_104),complement(zero)))
    | top = join(top,complement(X_104)) ),
    inference(resolve,[$cnf( $equal(join(top,meet(complement(X_104),complement(zero))),join(top,complement(X_104))) )],[refute_0_1945,refute_0_1946]) ).

cnf(refute_0_1948,plain,
    top = join(top,complement(X_104)),
    inference(resolve,[$cnf( $equal(top,join(top,meet(complement(X_104),complement(zero)))) )],[refute_0_1840,refute_0_1947]) ).

cnf(refute_0_1949,plain,
    ( top != join(top,complement(X_104))
    | join(top,complement(X_104)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_104))))]]) ).

cnf(refute_0_1950,plain,
    join(top,complement(X_104)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(X_104))) )],[refute_0_1948,refute_0_1949]) ).

cnf(refute_0_1951,plain,
    join(top,complement(converse(join(top,sk2)))) = top,
    inference(subst,[],[refute_0_1950:[bind(X_104,$fot(converse(join(top,sk2))))]]) ).

cnf(refute_0_1952,plain,
    converse(join(top,complement(converse(join(top,sk2))))) = converse(join(top,complement(converse(join(top,sk2))))),
    introduced(tautology,[refl,[$fot(converse(join(top,complement(converse(join(top,sk2))))))]]) ).

cnf(refute_0_1953,plain,
    ( converse(join(top,complement(converse(join(top,sk2))))) != converse(join(top,complement(converse(join(top,sk2)))))
    | join(top,complement(converse(join(top,sk2)))) != top
    | converse(join(top,complement(converse(join(top,sk2))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(converse(join(top,sk2))))),converse(join(top,complement(converse(join(top,sk2)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1954,plain,
    ( join(top,complement(converse(join(top,sk2)))) != top
    | converse(join(top,complement(converse(join(top,sk2))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(join(top,sk2))))),converse(join(top,complement(converse(join(top,sk2)))))) )],[refute_0_1952,refute_0_1953]) ).

cnf(refute_0_1955,plain,
    converse(join(top,complement(converse(join(top,sk2))))) = converse(top),
    inference(resolve,[$cnf( $equal(join(top,complement(converse(join(top,sk2)))),top) )],[refute_0_1951,refute_0_1954]) ).

cnf(refute_0_1956,plain,
    ( converse(join(top,complement(converse(join(top,sk2))))) != converse(top)
    | converse(top) != top
    | converse(join(top,complement(converse(join(top,sk2))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(top,complement(converse(join(top,sk2))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1957,plain,
    ( converse(top) != top
    | converse(join(top,complement(converse(join(top,sk2))))) = top ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(join(top,sk2))))),converse(top)) )],[refute_0_1955,refute_0_1956]) ).

cnf(refute_0_1958,plain,
    converse(join(top,complement(converse(join(top,sk2))))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1708,refute_0_1957]) ).

cnf(refute_0_1959,plain,
    converse(join(converse(top),X_20)) = join(top,converse(X_20)),
    inference(subst,[],[refute_0_115:[bind(A,$fot(top))]]) ).

cnf(refute_0_1960,plain,
    ( converse(join(converse(top),X_20)) != join(top,converse(X_20))
    | converse(top) != top
    | converse(join(top,X_20)) = join(top,converse(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),X_20)),join(top,converse(X_20))) ),[0,0,0],$fot(top)]]) ).

cnf(refute_0_1961,plain,
    ( converse(join(converse(top),X_20)) != join(top,converse(X_20))
    | converse(join(top,X_20)) = join(top,converse(X_20)) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1708,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    converse(join(top,X_20)) = join(top,converse(X_20)),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),X_20)),join(top,converse(X_20))) )],[refute_0_1959,refute_0_1961]) ).

cnf(refute_0_1963,plain,
    ( converse(join(top,X_20)) != join(top,converse(X_20))
    | join(top,converse(X_20)) = converse(join(top,X_20)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(top,X_20)))),bind(Y,$fot(join(top,converse(X_20))))]]) ).

cnf(refute_0_1964,plain,
    join(top,converse(X_20)) = converse(join(top,X_20)),
    inference(resolve,[$cnf( $equal(converse(join(top,X_20)),join(top,converse(X_20))) )],[refute_0_1962,refute_0_1963]) ).

cnf(refute_0_1965,plain,
    join(top,converse(complement(converse(join(top,sk2))))) = converse(join(top,complement(converse(join(top,sk2))))),
    inference(subst,[],[refute_0_1964:[bind(X_20,$fot(complement(converse(join(top,sk2)))))]]) ).

cnf(refute_0_1966,plain,
    ( converse(join(top,complement(converse(join(top,sk2))))) != top
    | join(top,converse(complement(converse(join(top,sk2))))) != converse(join(top,complement(converse(join(top,sk2)))))
    | join(top,converse(complement(converse(join(top,sk2))))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,converse(complement(converse(join(top,sk2))))))),bind(Y,$fot(converse(join(top,complement(converse(join(top,sk2))))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1967,plain,
    ( converse(join(top,complement(converse(join(top,sk2))))) != top
    | join(top,converse(complement(converse(join(top,sk2))))) = top ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(top,sk2))))),converse(join(top,complement(converse(join(top,sk2)))))) )],[refute_0_1965,refute_0_1966]) ).

cnf(refute_0_1968,plain,
    join(top,converse(complement(converse(join(top,sk2))))) = top,
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(join(top,sk2))))),top) )],[refute_0_1958,refute_0_1967]) ).

cnf(refute_0_1969,plain,
    ( join(sk1,top) != join(top,converse(complement(converse(join(top,sk2)))))
    | join(top,converse(complement(converse(join(top,sk2))))) != top
    | join(sk1,top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,top),top) ),[0],$fot(join(top,converse(complement(converse(join(top,sk2))))))]]) ).

cnf(refute_0_1970,plain,
    ( join(sk1,top) != join(top,converse(complement(converse(join(top,sk2)))))
    | join(sk1,top) = top ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(top,sk2))))),top) )],[refute_0_1968,refute_0_1969]) ).

cnf(refute_0_1971,plain,
    join(sk1,top) = top,
    inference(resolve,[$cnf( $equal(join(sk1,top),join(top,converse(complement(converse(join(top,sk2)))))) )],[refute_0_1774,refute_0_1970]) ).

cnf(refute_0_1972,plain,
    ( join(sk1,top) != top
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) != join(sk1,top)
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk2,sk3))))),join(sk1,top)) ),[1],$fot(top)]]) ).

cnf(refute_0_1973,plain,
    ( join(sk3,converse(complement(converse(join(sk2,sk3))))) != join(sk1,top)
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) = top ),
    inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1971,refute_0_1972]) ).

cnf(refute_0_1974,plain,
    join(sk3,converse(complement(converse(join(sk2,sk3))))) = top,
    inference(resolve,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk2,sk3))))),join(sk1,top)) )],[refute_0_1739,refute_0_1973]) ).

cnf(refute_0_1975,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != converse(join(sk3,converse(complement(converse(join(sk2,sk3))))))
    | join(sk3,converse(complement(converse(join(sk2,sk3))))) != top
    | converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),converse(join(sk3,converse(complement(converse(join(sk2,sk3))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1976,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != converse(join(sk3,converse(complement(converse(join(sk2,sk3))))))
    | converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(complement(converse(join(sk2,sk3))))),top) )],[refute_0_1974,refute_0_1975]) ).

cnf(refute_0_1977,plain,
    converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = converse(top),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),converse(join(sk3,converse(complement(converse(join(sk2,sk3))))))) )],[refute_0_110,refute_0_1976]) ).

cnf(refute_0_1978,plain,
    join(complement(converse(join(sk2,sk3))),converse(sk3)) = join(converse(sk3),complement(converse(join(sk2,sk3)))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(converse(sk3))),bind(B,$fot(complement(converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_1979,plain,
    converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = join(complement(converse(join(sk2,sk3))),converse(sk3)),
    inference(subst,[],[refute_0_115:[bind(A,$fot(complement(converse(join(sk2,sk3))))),bind(X_20,$fot(sk3))]]) ).

cnf(refute_0_1980,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != join(complement(converse(join(sk2,sk3))),converse(sk3))
    | join(complement(converse(join(sk2,sk3))),converse(sk3)) != join(converse(sk3),complement(converse(join(sk2,sk3))))
    | converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = join(converse(sk3),complement(converse(join(sk2,sk3)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)))),bind(Y,$fot(join(complement(converse(join(sk2,sk3))),converse(sk3)))),bind(Z,$fot(join(converse(sk3),complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_1981,plain,
    ( join(complement(converse(join(sk2,sk3))),converse(sk3)) != join(converse(sk3),complement(converse(join(sk2,sk3))))
    | converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = join(converse(sk3),complement(converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),join(complement(converse(join(sk2,sk3))),converse(sk3))) )],[refute_0_1979,refute_0_1980]) ).

cnf(refute_0_1982,plain,
    converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) = join(converse(sk3),complement(converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(join(sk2,sk3))),converse(sk3)),join(converse(sk3),complement(converse(join(sk2,sk3))))) )],[refute_0_1978,refute_0_1981]) ).

cnf(refute_0_1983,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != converse(top)
    | converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != join(converse(sk3),complement(converse(join(sk2,sk3))))
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),converse(top)) ),[0],$fot(join(converse(sk3),complement(converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_1984,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != converse(top)
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),join(converse(sk3),complement(converse(join(sk2,sk3))))) )],[refute_0_1982,refute_0_1983]) ).

cnf(refute_0_1985,plain,
    ( converse(top) != top
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) != converse(top)
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(sk3),complement(converse(join(sk2,sk3)))),converse(top)) ),[1],$fot(top)]]) ).

cnf(refute_0_1986,plain,
    ( join(converse(sk3),complement(converse(join(sk2,sk3)))) != converse(top)
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) = top ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1708,refute_0_1985]) ).

cnf(refute_0_1987,plain,
    ( converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)) != converse(top)
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(sk3),complement(converse(join(sk2,sk3)))),converse(top)) )],[refute_0_1984,refute_0_1986]) ).

cnf(refute_0_1988,plain,
    join(converse(sk3),complement(converse(join(sk2,sk3)))) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk2,sk3)))),sk3)),converse(top)) )],[refute_0_1977,refute_0_1987]) ).

cnf(refute_0_1989,plain,
    ( converse(join(sk2,sk3)) != join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(join(converse(sk3),complement(converse(join(sk2,sk3))))))
    | join(converse(sk3),complement(converse(join(sk2,sk3)))) != top
    | converse(join(sk2,sk3)) = join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(sk2,sk3)),join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(join(converse(sk3),complement(converse(join(sk2,sk3))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1990,plain,
    ( converse(join(sk2,sk3)) != join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(join(converse(sk3),complement(converse(join(sk2,sk3))))))
    | converse(join(sk2,sk3)) = join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(sk3),complement(converse(join(sk2,sk3)))),top) )],[refute_0_1988,refute_0_1989]) ).

cnf(refute_0_1991,plain,
    converse(join(sk2,sk3)) = join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(join(converse(sk3),complement(converse(join(sk2,sk3))))))) )],[refute_0_109,refute_0_1990]) ).

cnf(refute_0_1992,plain,
    join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) = meet(converse(sk3),converse(join(sk2,sk3))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(meet(converse(sk3),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_1993,plain,
    meet(converse(join(sk2,sk3)),converse(sk3)) = meet(converse(sk3),converse(join(sk2,sk3))),
    inference(subst,[],[refute_0_308:[bind(A,$fot(converse(sk3))),bind(B,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_1994,plain,
    join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(join(sk2,sk3)),converse(sk3))),
    introduced(tautology,[refl,[$fot(join(zero,meet(converse(join(sk2,sk3)),converse(sk3))))]]) ).

cnf(refute_0_1995,plain,
    ( join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) != join(zero,meet(converse(join(sk2,sk3)),converse(sk3)))
    | meet(converse(join(sk2,sk3)),converse(sk3)) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(join(sk2,sk3)),converse(sk3))),join(zero,meet(converse(join(sk2,sk3)),converse(sk3)))) ),[1,1],$fot(meet(converse(sk3),converse(join(sk2,sk3))))]]) ).

cnf(refute_0_1996,plain,
    ( meet(converse(join(sk2,sk3)),converse(sk3)) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(join(sk2,sk3)),converse(sk3))),join(zero,meet(converse(join(sk2,sk3)),converse(sk3)))) )],[refute_0_1994,refute_0_1995]) ).

cnf(refute_0_1997,plain,
    join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(meet(converse(join(sk2,sk3)),converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3)))) )],[refute_0_1993,refute_0_1996]) ).

cnf(refute_0_1998,plain,
    join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))))]]) ).

cnf(refute_0_1999,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) != join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3)))
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2000,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3)))) )],[refute_0_1998,refute_0_1999]) ).

cnf(refute_0_2001,plain,
    join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(join(sk2,sk3)),converse(sk3))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_2000]) ).

cnf(refute_0_2002,plain,
    ( join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) != join(zero,meet(converse(join(sk2,sk3)),converse(sk3)))
    | join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) != join(zero,meet(converse(sk3),converse(join(sk2,sk3))))
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))))),bind(Y,$fot(join(zero,meet(converse(join(sk2,sk3)),converse(sk3))))),bind(Z,$fot(join(zero,meet(converse(sk3),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2003,plain,
    ( join(zero,meet(converse(join(sk2,sk3)),converse(sk3))) != join(zero,meet(converse(sk3),converse(join(sk2,sk3))))
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),join(zero,meet(converse(join(sk2,sk3)),converse(sk3)))) )],[refute_0_2001,refute_0_2002]) ).

cnf(refute_0_2004,plain,
    join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = join(zero,meet(converse(sk3),converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(join(sk2,sk3)),converse(sk3))),join(zero,meet(converse(sk3),converse(join(sk2,sk3))))) )],[refute_0_1997,refute_0_2003]) ).

cnf(refute_0_2005,plain,
    ( join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) != join(zero,meet(converse(sk3),converse(join(sk2,sk3))))
    | join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))))),bind(Y,$fot(join(zero,meet(converse(sk3),converse(join(sk2,sk3)))))),bind(Z,$fot(meet(converse(sk3),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2006,plain,
    ( join(zero,meet(converse(sk3),converse(join(sk2,sk3)))) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),join(zero,meet(converse(sk3),converse(join(sk2,sk3))))) )],[refute_0_2004,refute_0_2005]) ).

cnf(refute_0_2007,plain,
    join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) = meet(converse(sk3),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk3),converse(join(sk2,sk3)))),meet(converse(sk3),converse(join(sk2,sk3)))) )],[refute_0_1992,refute_0_2006]) ).

cnf(refute_0_2008,plain,
    join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) = join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(top))),bind(B,$fot(meet(converse(join(sk2,sk3)),converse(sk3))))]]) ).

cnf(refute_0_2009,plain,
    ( join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) != join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3)))
    | join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))))),bind(Z,$fot(meet(converse(sk3),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2010,plain,
    ( join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))) != meet(converse(sk3),converse(join(sk2,sk3)))
    | join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)),join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3)))) )],[refute_0_2008,refute_0_2009]) ).

cnf(refute_0_2011,plain,
    join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) = meet(converse(sk3),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(sk2,sk3)),converse(sk3))),meet(converse(sk3),converse(join(sk2,sk3)))) )],[refute_0_2007,refute_0_2010]) ).

cnf(refute_0_2012,plain,
    ( converse(join(sk2,sk3)) != join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top))
    | join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)) != meet(converse(sk3),converse(join(sk2,sk3)))
    | converse(join(sk2,sk3)) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(sk2,sk3)),meet(converse(sk3),converse(join(sk2,sk3)))) ),[0],$fot(join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)))]]) ).

cnf(refute_0_2013,plain,
    ( converse(join(sk2,sk3)) != join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top))
    | converse(join(sk2,sk3)) = meet(converse(sk3),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top)),meet(converse(sk3),converse(join(sk2,sk3)))) )],[refute_0_2011,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    converse(join(sk2,sk3)) = meet(converse(sk3),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),join(meet(converse(join(sk2,sk3)),converse(sk3)),complement(top))) )],[refute_0_1991,refute_0_2013]) ).

cnf(refute_0_2015,plain,
    ( converse(join(sk2,sk3)) != meet(converse(sk3),converse(join(sk2,sk3)))
    | meet(converse(sk3),converse(join(sk2,sk3))) = converse(join(sk2,sk3)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(sk2,sk3)))),bind(Y,$fot(meet(converse(sk3),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2016,plain,
    meet(converse(sk3),converse(join(sk2,sk3))) = converse(join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),meet(converse(sk3),converse(join(sk2,sk3)))) )],[refute_0_2014,refute_0_2015]) ).

cnf(refute_0_2017,plain,
    ( converse(sk3) != join(meet(converse(sk3),converse(join(sk2,sk3))),meet(converse(sk3),complement(converse(join(sk2,sk3)))))
    | meet(converse(sk3),converse(join(sk2,sk3))) != converse(join(sk2,sk3))
    | converse(sk3) = join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(join(sk2,sk3))),meet(converse(sk3),complement(converse(join(sk2,sk3)))))) ),[1,0],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_2018,plain,
    ( converse(sk3) != join(meet(converse(sk3),converse(join(sk2,sk3))),meet(converse(sk3),complement(converse(join(sk2,sk3)))))
    | converse(sk3) = join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),converse(join(sk2,sk3))),converse(join(sk2,sk3))) )],[refute_0_2016,refute_0_2017]) ).

cnf(refute_0_2019,plain,
    converse(sk3) = join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(join(sk2,sk3))),meet(converse(sk3),complement(converse(join(sk2,sk3)))))) )],[refute_0_101,refute_0_2018]) ).

cnf(refute_0_2020,plain,
    ( converse(sk3) != join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3)))))
    | join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk3))),bind(Y,$fot(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2021,plain,
    join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(sk3),
    inference(resolve,[$cnf( $equal(converse(sk3),join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3)))))) )],[refute_0_2019,refute_0_2020]) ).

cnf(refute_0_2022,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != converse(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))))
    | join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))) != converse(sk3)
    | converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = converse(converse(sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),converse(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),[1,0],$fot(converse(sk3))]]) ).

cnf(refute_0_2023,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != converse(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))))
    | converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = converse(converse(sk3)) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))),converse(sk3)) )],[refute_0_2021,refute_0_2022]) ).

cnf(refute_0_2024,plain,
    converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = converse(converse(sk3)),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),converse(join(converse(join(sk2,sk3)),meet(converse(sk3),complement(converse(join(sk2,sk3))))))) )],[refute_0_70,refute_0_2023]) ).

cnf(refute_0_2025,plain,
    join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(join(sk1,join(sk2,join(sk3,X_64))),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(join(sk2,join(sk3,X_64))))]]) ).

cnf(refute_0_2026,plain,
    join(X_64,sk3) = join(sk1,join(sk2,join(sk3,X_64))),
    inference(subst,[],[refute_0_55:[bind(X_60,$fot(X_64))]]) ).

cnf(refute_0_2027,plain,
    ( join(X_64,sk3) != join(sk1,join(sk2,join(sk3,X_64)))
    | join(sk1,join(sk2,join(sk3,X_64))) = join(X_64,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_64,sk3))),bind(Y,$fot(join(sk1,join(sk2,join(sk3,X_64)))))]]) ).

cnf(refute_0_2028,plain,
    join(sk1,join(sk2,join(sk3,X_64))) = join(X_64,sk3),
    inference(resolve,[$cnf( $equal(join(X_64,sk3),join(sk1,join(sk2,join(sk3,X_64)))) )],[refute_0_2026,refute_0_2027]) ).

cnf(refute_0_2029,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(join(sk1,join(sk2,join(sk3,X_64))),C)
    | join(sk1,join(sk2,join(sk3,X_64))) != join(X_64,sk3)
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(join(X_64,sk3),C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(join(sk1,join(sk2,join(sk3,X_64))),C)) ),[1,0],$fot(join(X_64,sk3))]]) ).

cnf(refute_0_2030,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(join(sk1,join(sk2,join(sk3,X_64))),C)
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(join(X_64,sk3),C) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,X_64))),join(X_64,sk3)) )],[refute_0_2028,refute_0_2029]) ).

cnf(refute_0_2031,plain,
    join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(join(X_64,sk3),C),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(join(sk1,join(sk2,join(sk3,X_64))),C)) )],[refute_0_2025,refute_0_2030]) ).

cnf(refute_0_2032,plain,
    join(join(X_64,C),sk3) = join(X_64,join(C,sk3)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_64)),bind(B,$fot(C)),bind(C,$fot(sk3))]]) ).

cnf(refute_0_2033,plain,
    ( join(X_60,sk3) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk1,join(sk2,join(sk3,X_60))) = join(X_60,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,sk3))),bind(Y,$fot(join(sk1,join(sk2,join(sk3,X_60)))))]]) ).

cnf(refute_0_2034,plain,
    join(sk1,join(sk2,join(sk3,X_60))) = join(X_60,sk3),
    inference(resolve,[$cnf( $equal(join(X_60,sk3),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_55,refute_0_2033]) ).

cnf(refute_0_2035,plain,
    join(sk1,join(sk2,join(sk3,join(X_64,C)))) = join(join(X_64,C),sk3),
    inference(subst,[],[refute_0_2034:[bind(X_60,$fot(join(X_64,C)))]]) ).

cnf(refute_0_2036,plain,
    ( join(join(X_64,C),sk3) != join(X_64,join(C,sk3))
    | join(sk1,join(sk2,join(sk3,join(X_64,C)))) != join(join(X_64,C),sk3)
    | join(sk1,join(sk2,join(sk3,join(X_64,C)))) = join(X_64,join(C,sk3)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk1,join(sk2,join(sk3,join(X_64,C)))))),bind(Y,$fot(join(join(X_64,C),sk3))),bind(Z,$fot(join(X_64,join(C,sk3))))]]) ).

cnf(refute_0_2037,plain,
    ( join(join(X_64,C),sk3) != join(X_64,join(C,sk3))
    | join(sk1,join(sk2,join(sk3,join(X_64,C)))) = join(X_64,join(C,sk3)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,join(X_64,C)))),join(join(X_64,C),sk3)) )],[refute_0_2035,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    join(sk1,join(sk2,join(sk3,join(X_64,C)))) = join(X_64,join(C,sk3)),
    inference(resolve,[$cnf( $equal(join(join(X_64,C),sk3),join(X_64,join(C,sk3))) )],[refute_0_2032,refute_0_2037]) ).

cnf(refute_0_2039,plain,
    join(join(sk3,X_64),C) = join(sk3,join(X_64,C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk3)),bind(B,$fot(X_64))]]) ).

cnf(refute_0_2040,plain,
    join(sk2,join(join(sk3,X_64),C)) = join(sk2,join(join(sk3,X_64),C)),
    introduced(tautology,[refl,[$fot(join(sk2,join(join(sk3,X_64),C)))]]) ).

cnf(refute_0_2041,plain,
    ( join(join(sk3,X_64),C) != join(sk3,join(X_64,C))
    | join(sk2,join(join(sk3,X_64),C)) != join(sk2,join(join(sk3,X_64),C))
    | join(sk2,join(join(sk3,X_64),C)) = join(sk2,join(sk3,join(X_64,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(join(sk3,X_64),C)),join(sk2,join(join(sk3,X_64),C))) ),[1,1],$fot(join(sk3,join(X_64,C)))]]) ).

cnf(refute_0_2042,plain,
    ( join(join(sk3,X_64),C) != join(sk3,join(X_64,C))
    | join(sk2,join(join(sk3,X_64),C)) = join(sk2,join(sk3,join(X_64,C))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,X_64),C)),join(sk2,join(join(sk3,X_64),C))) )],[refute_0_2040,refute_0_2041]) ).

cnf(refute_0_2043,plain,
    join(sk2,join(join(sk3,X_64),C)) = join(sk2,join(sk3,join(X_64,C))),
    inference(resolve,[$cnf( $equal(join(join(sk3,X_64),C),join(sk3,join(X_64,C))) )],[refute_0_2039,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    join(join(sk2,join(sk3,X_64)),C) = join(sk2,join(join(sk3,X_64),C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk2)),bind(B,$fot(join(sk3,X_64)))]]) ).

cnf(refute_0_2045,plain,
    ( join(join(sk2,join(sk3,X_64)),C) != join(sk2,join(join(sk3,X_64),C))
    | join(sk2,join(join(sk3,X_64),C)) != join(sk2,join(sk3,join(X_64,C)))
    | join(join(sk2,join(sk3,X_64)),C) = join(sk2,join(sk3,join(X_64,C))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(sk2,join(sk3,X_64)),C))),bind(Y,$fot(join(sk2,join(join(sk3,X_64),C)))),bind(Z,$fot(join(sk2,join(sk3,join(X_64,C)))))]]) ).

cnf(refute_0_2046,plain,
    ( join(sk2,join(join(sk3,X_64),C)) != join(sk2,join(sk3,join(X_64,C)))
    | join(join(sk2,join(sk3,X_64)),C) = join(sk2,join(sk3,join(X_64,C))) ),
    inference(resolve,[$cnf( $equal(join(join(sk2,join(sk3,X_64)),C),join(sk2,join(join(sk3,X_64),C))) )],[refute_0_2044,refute_0_2045]) ).

cnf(refute_0_2047,plain,
    join(join(sk2,join(sk3,X_64)),C) = join(sk2,join(sk3,join(X_64,C))),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,X_64),C)),join(sk2,join(sk3,join(X_64,C)))) )],[refute_0_2043,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(sk1,join(join(sk2,join(sk3,X_64)),C)),
    introduced(tautology,[refl,[$fot(join(sk1,join(join(sk2,join(sk3,X_64)),C)))]]) ).

cnf(refute_0_2049,plain,
    ( join(join(sk2,join(sk3,X_64)),C) != join(sk2,join(sk3,join(X_64,C)))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(sk1,join(join(sk2,join(sk3,X_64)),C))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(sk1,join(sk2,join(sk3,join(X_64,C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(sk1,join(join(sk2,join(sk3,X_64)),C))) ),[1,1],$fot(join(sk2,join(sk3,join(X_64,C))))]]) ).

cnf(refute_0_2050,plain,
    ( join(join(sk2,join(sk3,X_64)),C) != join(sk2,join(sk3,join(X_64,C)))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(sk1,join(sk2,join(sk3,join(X_64,C)))) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(sk1,join(join(sk2,join(sk3,X_64)),C))) )],[refute_0_2048,refute_0_2049]) ).

cnf(refute_0_2051,plain,
    join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(sk1,join(sk2,join(sk3,join(X_64,C)))),
    inference(resolve,[$cnf( $equal(join(join(sk2,join(sk3,X_64)),C),join(sk2,join(sk3,join(X_64,C)))) )],[refute_0_2047,refute_0_2050]) ).

cnf(refute_0_2052,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(sk1,join(sk2,join(sk3,join(X_64,C))))
    | join(sk1,join(sk2,join(sk3,join(X_64,C)))) != join(X_64,join(C,sk3))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(X_64,join(C,sk3)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk1,join(join(sk2,join(sk3,X_64)),C)))),bind(Y,$fot(join(sk1,join(sk2,join(sk3,join(X_64,C)))))),bind(Z,$fot(join(X_64,join(C,sk3))))]]) ).

cnf(refute_0_2053,plain,
    ( join(sk1,join(sk2,join(sk3,join(X_64,C)))) != join(X_64,join(C,sk3))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(X_64,join(C,sk3)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(sk1,join(sk2,join(sk3,join(X_64,C))))) )],[refute_0_2051,refute_0_2052]) ).

cnf(refute_0_2054,plain,
    join(sk1,join(join(sk2,join(sk3,X_64)),C)) = join(X_64,join(C,sk3)),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,join(X_64,C)))),join(X_64,join(C,sk3))) )],[refute_0_2038,refute_0_2053]) ).

cnf(refute_0_2055,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(X_64,join(C,sk3))
    | join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(join(X_64,sk3),C)
    | join(X_64,join(C,sk3)) = join(join(X_64,sk3),C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(join(X_64,sk3),C)) ),[0],$fot(join(X_64,join(C,sk3)))]]) ).

cnf(refute_0_2056,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(join(X_64,sk3),C)
    | join(X_64,join(C,sk3)) = join(join(X_64,sk3),C) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(X_64,join(C,sk3))) )],[refute_0_2054,refute_0_2055]) ).

cnf(refute_0_2057,plain,
    join(join(X_64,sk3),C) = join(X_64,join(sk3,C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_64)),bind(B,$fot(sk3))]]) ).

cnf(refute_0_2058,plain,
    ( join(X_64,join(C,sk3)) != join(join(X_64,sk3),C)
    | join(join(X_64,sk3),C) != join(X_64,join(sk3,C))
    | join(X_64,join(C,sk3)) = join(X_64,join(sk3,C)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_64,join(C,sk3)),join(X_64,join(sk3,C))) ),[0],$fot(join(join(X_64,sk3),C))]]) ).

cnf(refute_0_2059,plain,
    ( join(X_64,join(C,sk3)) != join(join(X_64,sk3),C)
    | join(X_64,join(C,sk3)) = join(X_64,join(sk3,C)) ),
    inference(resolve,[$cnf( $equal(join(join(X_64,sk3),C),join(X_64,join(sk3,C))) )],[refute_0_2057,refute_0_2058]) ).

cnf(refute_0_2060,plain,
    ( join(sk1,join(join(sk2,join(sk3,X_64)),C)) != join(join(X_64,sk3),C)
    | join(X_64,join(C,sk3)) = join(X_64,join(sk3,C)) ),
    inference(resolve,[$cnf( $equal(join(X_64,join(C,sk3)),join(join(X_64,sk3),C)) )],[refute_0_2056,refute_0_2059]) ).

cnf(refute_0_2061,plain,
    join(X_64,join(C,sk3)) = join(X_64,join(sk3,C)),
    inference(resolve,[$cnf( $equal(join(sk1,join(join(sk2,join(sk3,X_64)),C)),join(join(X_64,sk3),C)) )],[refute_0_2031,refute_0_2060]) ).

cnf(refute_0_2062,plain,
    join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(subst,[],[refute_0_2061:[bind(C,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),bind(X_64,$fot(sk2))]]) ).

cnf(refute_0_2063,plain,
    join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) = join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(sk2)),bind(X_61,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),bind(X_62,$fot(sk3))]]) ).

cnf(refute_0_2064,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) != join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3))
    | join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)) != join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)))),bind(Y,$fot(join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)))),bind(Z,$fot(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2065,plain,
    ( join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)) != join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)),join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3))) )],[refute_0_2063,refute_0_2064]) ).

cnf(refute_0_2066,plain,
    join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(resolve,[$cnf( $equal(join(sk2,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3)),join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2062,refute_0_2065]) ).

cnf(refute_0_2067,plain,
    converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)),
    inference(subst,[],[refute_0_886:[bind(A,$fot(join(sk2,sk3))),bind(X_19,$fot(meet(converse(sk3),complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2068,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3))
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) != join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))))),bind(Y,$fot(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)))),bind(Z,$fot(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2069,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)) != join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3))) )],[refute_0_2067,refute_0_2068]) ).

cnf(refute_0_2070,plain,
    converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) = join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),join(sk2,sk3)),join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2066,refute_0_2069]) ).

cnf(refute_0_2071,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != converse(converse(sk3))
    | converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = converse(converse(sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),converse(converse(sk3))) ),[0],$fot(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2072,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != converse(converse(sk3))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = converse(converse(sk3)) ),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2070,refute_0_2071]) ).

cnf(refute_0_2073,plain,
    converse(converse(sk3)) = sk3,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk3))]]) ).

cnf(refute_0_2074,plain,
    ( converse(converse(sk3)) != sk3
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != converse(converse(sk3))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = sk3 ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),converse(converse(sk3))) ),[1],$fot(sk3)]]) ).

cnf(refute_0_2075,plain,
    ( join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != converse(converse(sk3))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = sk3 ),
    inference(resolve,[$cnf( $equal(converse(converse(sk3)),sk3) )],[refute_0_2073,refute_0_2074]) ).

cnf(refute_0_2076,plain,
    ( converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) != converse(converse(sk3))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),converse(converse(sk3))) )],[refute_0_2072,refute_0_2075]) ).

cnf(refute_0_2077,plain,
    join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = sk3,
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(join(sk2,sk3)))),converse(join(sk2,sk3)))),converse(converse(sk3))) )],[refute_0_2024,refute_0_2076]) ).

cnf(refute_0_2078,plain,
    ( join(A,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) != join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != sk3
    | join(A,sk3) = join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),[0,1],$fot(sk3)]]) ).

cnf(refute_0_2079,plain,
    ( join(A,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) != join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(A,sk3) = join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),sk3) )],[refute_0_2077,refute_0_2078]) ).

cnf(refute_0_2080,plain,
    join(A,sk3) = join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(resolve,[$cnf( $equal(join(A,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_56,refute_0_2079]) ).

cnf(refute_0_2081,plain,
    join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(subst,[],[refute_0_4:[bind(B,$fot(sk2)),bind(C,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2082,plain,
    join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    introduced(tautology,[refl,[$fot(join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2083,plain,
    ( join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),[1,1],$fot(join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2084,plain,
    ( join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2082,refute_0_2083]) ).

cnf(refute_0_2085,plain,
    join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2081,refute_0_2084]) ).

cnf(refute_0_2086,plain,
    join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(sk3)),bind(X_61,$fot(join(A,sk2))),bind(X_62,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2087,plain,
    ( join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))),bind(Y,$fot(join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))),bind(Z,$fot(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))))]]) ).

cnf(refute_0_2088,plain,
    ( join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2086,refute_0_2087]) ).

cnf(refute_0_2089,plain,
    join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(sk3,join(join(A,sk2),converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) )],[refute_0_2085,refute_0_2088]) ).

cnf(refute_0_2090,plain,
    ( join(A,sk3) != join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(A,sk3) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(A,sk3),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) ),[0],$fot(join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2091,plain,
    ( join(A,sk3) != join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(A,sk3) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) )],[refute_0_2089,refute_0_2090]) ).

cnf(refute_0_2092,plain,
    join(A,sk3) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(A,sk3),join(join(A,sk2),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2080,refute_0_2091]) ).

cnf(refute_0_2093,plain,
    join(sk3,join(A,sk2)) = join(sk2,join(sk3,A)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(sk2)),bind(X_60,$fot(sk3)),bind(X_61,$fot(A))]]) ).

cnf(refute_0_2094,plain,
    join(sk2,zero) = sk2,
    inference(subst,[],[refute_0_684:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_2095,plain,
    zero = meet(converse(zero),complement(converse(zero))),
    inference(subst,[],[def_zero_13:[bind(A,$fot(converse(zero)))]]) ).

cnf(refute_0_2096,plain,
    converse(converse(complement(converse(zero)))) = complement(converse(zero)),
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_2097,plain,
    converse(top) = join(zero,converse(complement(converse(zero)))),
    inference(subst,[],[refute_0_122:[bind(X_23,$fot(zero))]]) ).

cnf(refute_0_2098,plain,
    join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
    inference(subst,[],[refute_0_688:[bind(B,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2099,plain,
    ( converse(top) != join(zero,converse(complement(converse(zero))))
    | join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
    | converse(top) = converse(complement(converse(zero))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(complement(converse(zero)))) ),[0],$fot(join(zero,converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2100,plain,
    ( converse(top) != join(zero,converse(complement(converse(zero))))
    | converse(top) = converse(complement(converse(zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_2098,refute_0_2099]) ).

cnf(refute_0_2101,plain,
    converse(top) = converse(complement(converse(zero))),
    inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_2097,refute_0_2100]) ).

cnf(refute_0_2102,plain,
    ( converse(top) != converse(complement(converse(zero)))
    | converse(complement(converse(zero))) = converse(top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2103,plain,
    converse(complement(converse(zero))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),converse(complement(converse(zero)))) )],[refute_0_2101,refute_0_2102]) ).

cnf(refute_0_2104,plain,
    ( converse(complement(converse(zero))) != converse(top)
    | converse(converse(complement(converse(zero)))) != complement(converse(zero))
    | converse(converse(top)) = complement(converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(converse(top))]]) ).

cnf(refute_0_2105,plain,
    ( converse(converse(complement(converse(zero)))) != complement(converse(zero))
    | converse(converse(top)) = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),converse(top)) )],[refute_0_2103,refute_0_2104]) ).

cnf(refute_0_2106,plain,
    converse(converse(top)) = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2096,refute_0_2105]) ).

cnf(refute_0_2107,plain,
    ( converse(converse(top)) != complement(converse(zero))
    | converse(converse(top)) != top
    | top = complement(converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) ),[0],$fot(top)]]) ).

cnf(refute_0_2108,plain,
    ( converse(converse(top)) != complement(converse(zero))
    | top = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_1704,refute_0_2107]) ).

cnf(refute_0_2109,plain,
    top = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) )],[refute_0_2106,refute_0_2108]) ).

cnf(refute_0_2110,plain,
    ( top != complement(converse(zero))
    | complement(converse(zero)) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_2111,plain,
    complement(converse(zero)) = top,
    inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2109,refute_0_2110]) ).

cnf(refute_0_2112,plain,
    ( complement(converse(zero)) != top
    | zero != meet(converse(zero),complement(converse(zero)))
    | zero = meet(converse(zero),top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2113,plain,
    ( zero != meet(converse(zero),complement(converse(zero)))
    | zero = meet(converse(zero),top) ),
    inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2111,refute_0_2112]) ).

cnf(refute_0_2114,plain,
    zero = meet(converse(zero),top),
    inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_2095,refute_0_2113]) ).

cnf(refute_0_2115,plain,
    meet(converse(zero),top) = converse(zero),
    inference(subst,[],[refute_0_1933:[bind(X_55,$fot(converse(zero)))]]) ).

cnf(refute_0_2116,plain,
    ( meet(converse(zero),top) != converse(zero)
    | zero != meet(converse(zero),top)
    | zero = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).

cnf(refute_0_2117,plain,
    ( zero != meet(converse(zero),top)
    | zero = converse(zero) ),
    inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_2115,refute_0_2116]) ).

cnf(refute_0_2118,plain,
    zero = converse(zero),
    inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_2114,refute_0_2117]) ).

cnf(refute_0_2119,plain,
    ( zero != converse(zero)
    | converse(zero) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).

cnf(refute_0_2120,plain,
    converse(zero) = zero,
    inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_2118,refute_0_2119]) ).

cnf(refute_0_2121,plain,
    meet(converse(sk3),complement(converse(sk3))) = zero,
    inference(subst,[],[refute_0_598:[bind(A,$fot(converse(sk3)))]]) ).

cnf(refute_0_2122,plain,
    converse(sk3) = join(meet(converse(sk3),converse(join(sk2,sk3))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),
    inference(subst,[],[refute_0_108:[bind(X_15,$fot(converse(sk3))),bind(X_16,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2123,plain,
    ( converse(sk3) != join(meet(converse(sk3),converse(join(sk2,sk3))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))
    | meet(converse(sk3),converse(join(sk2,sk3))) != converse(join(sk2,sk3))
    | converse(sk3) = join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(join(sk2,sk3))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))) ),[1,0],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_2124,plain,
    ( converse(sk3) != join(meet(converse(sk3),converse(join(sk2,sk3))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))
    | converse(sk3) = join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) ),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),converse(join(sk2,sk3))),converse(join(sk2,sk3))) )],[refute_0_2016,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    converse(sk3) = join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),
    inference(resolve,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(join(sk2,sk3))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))) )],[refute_0_2122,refute_0_2124]) ).

cnf(refute_0_2126,plain,
    join(converse(join(sk2,sk3)),complement(converse(sk3))) = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(complement(converse(sk3)))),bind(B,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2127,plain,
    complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) = complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))),
    introduced(tautology,[refl,[$fot(complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))]]) ).

cnf(refute_0_2128,plain,
    ( complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) != complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))
    | join(converse(join(sk2,sk3)),complement(converse(sk3))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) = complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) ),[1,0],$fot(join(complement(converse(sk3)),converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2129,plain,
    ( join(converse(join(sk2,sk3)),complement(converse(sk3))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) = complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) )],[refute_0_2127,refute_0_2128]) ).

cnf(refute_0_2130,plain,
    complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) = complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(converse(sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2126,refute_0_2129]) ).

cnf(refute_0_2131,plain,
    join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) = join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),
    introduced(tautology,[refl,[$fot(join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))))]]) ).

cnf(refute_0_2132,plain,
    ( complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) != complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))
    | join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) != join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))
    | join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))) ),[1,1],$fot(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2133,plain,
    ( complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))) != complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))
    | join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))) )],[refute_0_2131,refute_0_2132]) ).

cnf(refute_0_2134,plain,
    join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) )],[refute_0_2130,refute_0_2133]) ).

cnf(refute_0_2135,plain,
    ( converse(sk3) != join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))
    | join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))) != join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | converse(sk3) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk3),join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) ),[0],$fot(join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))))]]) ).

cnf(refute_0_2136,plain,
    ( converse(sk3) != join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))
    | converse(sk3) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3))))),join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2134,refute_0_2135]) ).

cnf(refute_0_2137,plain,
    converse(sk3) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(converse(sk3),join(converse(join(sk2,sk3)),complement(join(converse(join(sk2,sk3)),complement(converse(sk3)))))) )],[refute_0_2125,refute_0_2136]) ).

cnf(refute_0_2138,plain,
    join(converse(join(sk2,sk3)),zero) = converse(join(sk2,sk3)),
    inference(subst,[],[refute_0_684:[bind(A,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2139,plain,
    top = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),
    inference(subst,[],[refute_0_1711:[bind(X_40,$fot(converse(join(sk2,sk3)))),bind(X_41,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2140,plain,
    X_94 = join(meet(X_94,X_93),meet(X_94,complement(X_93))),
    inference(subst,[],[refute_0_100:[bind(B,$fot(X_93)),bind(X_15,$fot(X_94))]]) ).

cnf(refute_0_2141,plain,
    meet(complement(X_93),X_94) = meet(X_94,complement(X_93)),
    inference(subst,[],[refute_0_306:[bind(A,$fot(complement(X_93))),bind(B,$fot(X_94))]]) ).

cnf(refute_0_2142,plain,
    ( meet(complement(X_93),X_94) != meet(X_94,complement(X_93))
    | meet(X_94,complement(X_93)) = meet(complement(X_93),X_94) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_93),X_94))),bind(Y,$fot(meet(X_94,complement(X_93))))]]) ).

cnf(refute_0_2143,plain,
    meet(X_94,complement(X_93)) = meet(complement(X_93),X_94),
    inference(resolve,[$cnf( $equal(meet(complement(X_93),X_94),meet(X_94,complement(X_93))) )],[refute_0_2141,refute_0_2142]) ).

cnf(refute_0_2144,plain,
    ( X_94 != join(meet(X_94,X_93),meet(X_94,complement(X_93)))
    | meet(X_94,complement(X_93)) != meet(complement(X_93),X_94)
    | X_94 = join(meet(X_94,X_93),meet(complement(X_93),X_94)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_94,join(meet(X_94,X_93),meet(X_94,complement(X_93)))) ),[1,1],$fot(meet(complement(X_93),X_94))]]) ).

cnf(refute_0_2145,plain,
    ( X_94 != join(meet(X_94,X_93),meet(X_94,complement(X_93)))
    | X_94 = join(meet(X_94,X_93),meet(complement(X_93),X_94)) ),
    inference(resolve,[$cnf( $equal(meet(X_94,complement(X_93)),meet(complement(X_93),X_94)) )],[refute_0_2143,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    X_94 = join(meet(X_94,X_93),meet(complement(X_93),X_94)),
    inference(resolve,[$cnf( $equal(X_94,join(meet(X_94,X_93),meet(X_94,complement(X_93)))) )],[refute_0_2140,refute_0_2145]) ).

cnf(refute_0_2147,plain,
    X_169 = join(meet(X_169,X_168),meet(complement(X_168),X_169)),
    inference(subst,[],[refute_0_2146:[bind(X_93,$fot(X_168)),bind(X_94,$fot(X_169))]]) ).

cnf(refute_0_2148,plain,
    meet(X_168,X_169) = meet(X_169,X_168),
    inference(subst,[],[refute_0_306:[bind(A,$fot(X_168)),bind(B,$fot(X_169))]]) ).

cnf(refute_0_2149,plain,
    ( meet(X_168,X_169) != meet(X_169,X_168)
    | meet(X_169,X_168) = meet(X_168,X_169) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_168,X_169))),bind(Y,$fot(meet(X_169,X_168)))]]) ).

cnf(refute_0_2150,plain,
    meet(X_169,X_168) = meet(X_168,X_169),
    inference(resolve,[$cnf( $equal(meet(X_168,X_169),meet(X_169,X_168)) )],[refute_0_2148,refute_0_2149]) ).

cnf(refute_0_2151,plain,
    ( X_169 != join(meet(X_169,X_168),meet(complement(X_168),X_169))
    | meet(X_169,X_168) != meet(X_168,X_169)
    | X_169 = join(meet(X_168,X_169),meet(complement(X_168),X_169)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_169,join(meet(X_169,X_168),meet(complement(X_168),X_169))) ),[1,0],$fot(meet(X_168,X_169))]]) ).

cnf(refute_0_2152,plain,
    ( X_169 != join(meet(X_169,X_168),meet(complement(X_168),X_169))
    | X_169 = join(meet(X_168,X_169),meet(complement(X_168),X_169)) ),
    inference(resolve,[$cnf( $equal(meet(X_169,X_168),meet(X_168,X_169)) )],[refute_0_2150,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    X_169 = join(meet(X_168,X_169),meet(complement(X_168),X_169)),
    inference(resolve,[$cnf( $equal(X_169,join(meet(X_169,X_168),meet(complement(X_168),X_169))) )],[refute_0_2147,refute_0_2152]) ).

cnf(refute_0_2154,plain,
    join(complement(converse(sk3)),converse(join(sk2,sk3))) = join(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(subst,[],[refute_0_2153:[bind(X_168,$fot(converse(join(sk2,sk3)))),bind(X_169,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2155,plain,
    X_97 = meet(X_97,join(complement(X_98),meet(X_97,X_98))),
    inference(subst,[],[refute_0_1797:[bind(A,$fot(X_97)),bind(X_35,$fot(X_98))]]) ).

cnf(refute_0_2156,plain,
    meet(X_98,X_97) = meet(X_97,X_98),
    inference(subst,[],[refute_0_306:[bind(A,$fot(X_98)),bind(B,$fot(X_97))]]) ).

cnf(refute_0_2157,plain,
    ( meet(X_98,X_97) != meet(X_97,X_98)
    | meet(X_97,X_98) = meet(X_98,X_97) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_98,X_97))),bind(Y,$fot(meet(X_97,X_98)))]]) ).

cnf(refute_0_2158,plain,
    meet(X_97,X_98) = meet(X_98,X_97),
    inference(resolve,[$cnf( $equal(meet(X_98,X_97),meet(X_97,X_98)) )],[refute_0_2156,refute_0_2157]) ).

cnf(refute_0_2159,plain,
    ( X_97 != meet(X_97,join(complement(X_98),meet(X_97,X_98)))
    | meet(X_97,X_98) != meet(X_98,X_97)
    | X_97 = meet(X_97,join(complement(X_98),meet(X_98,X_97))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_97,meet(X_97,join(complement(X_98),meet(X_97,X_98)))) ),[1,1,1],$fot(meet(X_98,X_97))]]) ).

cnf(refute_0_2160,plain,
    ( X_97 != meet(X_97,join(complement(X_98),meet(X_97,X_98)))
    | X_97 = meet(X_97,join(complement(X_98),meet(X_98,X_97))) ),
    inference(resolve,[$cnf( $equal(meet(X_97,X_98),meet(X_98,X_97)) )],[refute_0_2158,refute_0_2159]) ).

cnf(refute_0_2161,plain,
    X_97 = meet(X_97,join(complement(X_98),meet(X_98,X_97))),
    inference(resolve,[$cnf( $equal(X_97,meet(X_97,join(complement(X_98),meet(X_97,X_98)))) )],[refute_0_2155,refute_0_2160]) ).

cnf(refute_0_2162,plain,
    converse(join(sk2,sk3)) = meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3))))),
    inference(subst,[],[refute_0_2161:[bind(X_97,$fot(converse(join(sk2,sk3)))),bind(X_98,$fot(converse(sk3)))]]) ).

cnf(refute_0_2163,plain,
    ( converse(join(sk2,sk3)) != meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3)))))
    | meet(converse(sk3),converse(join(sk2,sk3))) != converse(join(sk2,sk3))
    | converse(join(sk2,sk3)) = meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(sk2,sk3)),meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3)))))) ),[1,1,1],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_2164,plain,
    ( converse(join(sk2,sk3)) != meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3)))))
    | converse(join(sk2,sk3)) = meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))) ),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),converse(join(sk2,sk3))),converse(join(sk2,sk3))) )],[refute_0_2016,refute_0_2163]) ).

cnf(refute_0_2165,plain,
    converse(join(sk2,sk3)) = meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),meet(converse(sk3),converse(join(sk2,sk3)))))) )],[refute_0_2162,refute_0_2164]) ).

cnf(refute_0_2166,plain,
    ( converse(join(sk2,sk3)) != meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3))))
    | meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))) = converse(join(sk2,sk3)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(sk2,sk3)))),bind(Y,$fot(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2167,plain,
    meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))) = converse(join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3))))) )],[refute_0_2165,refute_0_2166]) ).

cnf(refute_0_2168,plain,
    ( join(complement(converse(sk3)),converse(join(sk2,sk3))) != join(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))) != converse(join(sk2,sk3))
    | join(complement(converse(sk3)),converse(join(sk2,sk3))) = join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk3)),converse(join(sk2,sk3))),join(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) ),[1,0],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_2169,plain,
    ( join(complement(converse(sk3)),converse(join(sk2,sk3))) != join(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(complement(converse(sk3)),converse(join(sk2,sk3))) = join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),
    inference(resolve,[$cnf( $equal(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) )],[refute_0_2167,refute_0_2168]) ).

cnf(refute_0_2170,plain,
    join(complement(converse(sk3)),converse(join(sk2,sk3))) = join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),converse(join(sk2,sk3))),join(meet(converse(join(sk2,sk3)),join(complement(converse(sk3)),converse(join(sk2,sk3)))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2154,refute_0_2169]) ).

cnf(refute_0_2171,plain,
    ( join(complement(converse(sk3)),converse(join(sk2,sk3))) != join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3))))),bind(Y,$fot(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2172,plain,
    join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),converse(join(sk2,sk3))),join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2170,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    ( join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | top != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))
    | top = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))) ),[1,1,1,0,0,0],$fot(join(complement(converse(sk3)),converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2174,plain,
    ( top != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))
    | top = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2172,refute_0_2173]) ).

cnf(refute_0_2175,plain,
    top = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(top,join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))) )],[refute_0_2139,refute_0_2174]) ).

cnf(refute_0_2176,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) = join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(converse(join(sk2,sk3)))),bind(B,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2177,plain,
    ( join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) != join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))))),bind(Y,$fot(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))),bind(Z,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2178,plain,
    ( join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))),join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2176,refute_0_2177]) ).

cnf(refute_0_2179,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2172,refute_0_2178]) ).

cnf(refute_0_2180,plain,
    join(sk3,zero) = sk3,
    inference(subst,[],[refute_0_684:[bind(A,$fot(sk3))]]) ).

cnf(refute_0_2181,plain,
    join(converse(top),X_62) = join(converse(top),X_62),
    introduced(tautology,[refl,[$fot(join(converse(top),X_62))]]) ).

cnf(refute_0_2182,plain,
    ( converse(top) != top
    | join(converse(top),X_62) != join(converse(top),X_62)
    | join(converse(top),X_62) = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_62),join(converse(top),X_62)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2183,plain,
    ( converse(top) != top
    | join(converse(top),X_62) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(converse(top),X_62),join(converse(top),X_62)) )],[refute_0_2181,refute_0_2182]) ).

cnf(refute_0_2184,plain,
    join(converse(top),X_62) = join(top,X_62),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1708,refute_0_2183]) ).

cnf(refute_0_2185,plain,
    ( join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(converse(top),X_62)
    | join(converse(top),X_62) != join(top,X_62)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),join(top,X_62)) ),[0],$fot(join(converse(top),X_62))]]) ).

cnf(refute_0_2186,plain,
    ( join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(converse(top),X_62)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(converse(top),X_62),join(top,X_62)) )],[refute_0_2184,refute_0_2185]) ).

cnf(refute_0_2187,plain,
    join(X_60,join(converse(complement(converse(X_60))),X_62)) = join(top,X_62),
    inference(resolve,[$cnf( $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),join(converse(top),X_62)) )],[refute_0_1687,refute_0_2186]) ).

cnf(refute_0_2188,plain,
    join(sk1,join(top,C)) = join(join(sk1,top),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(top))]]) ).

cnf(refute_0_2189,plain,
    ( join(sk1,join(top,C)) != join(join(sk1,top),C)
    | join(sk1,top) != top
    | join(sk1,join(top,C)) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2190,plain,
    ( join(sk1,join(top,C)) != join(join(sk1,top),C)
    | join(sk1,join(top,C)) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1971,refute_0_2189]) ).

cnf(refute_0_2191,plain,
    join(sk1,join(top,C)) = join(top,C),
    inference(resolve,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) )],[refute_0_2188,refute_0_2190]) ).

cnf(refute_0_2192,plain,
    join(sk1,join(top,X_119)) = join(top,X_119),
    inference(subst,[],[refute_0_2191:[bind(C,$fot(X_119))]]) ).

cnf(refute_0_2193,plain,
    join(X_119,top) = join(top,X_119),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_119)),bind(B,$fot(top))]]) ).

cnf(refute_0_2194,plain,
    ( join(X_119,top) != join(top,X_119)
    | join(top,X_119) = join(X_119,top) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,top))),bind(Y,$fot(join(top,X_119)))]]) ).

cnf(refute_0_2195,plain,
    join(top,X_119) = join(X_119,top),
    inference(resolve,[$cnf( $equal(join(X_119,top),join(top,X_119)) )],[refute_0_2193,refute_0_2194]) ).

cnf(refute_0_2196,plain,
    ( join(sk1,join(top,X_119)) != join(top,X_119)
    | join(top,X_119) != join(X_119,top)
    | join(sk1,join(X_119,top)) = join(top,X_119) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,X_119)),join(top,X_119)) ),[0,1],$fot(join(X_119,top))]]) ).

cnf(refute_0_2197,plain,
    ( join(sk1,join(top,X_119)) != join(top,X_119)
    | join(sk1,join(X_119,top)) = join(top,X_119) ),
    inference(resolve,[$cnf( $equal(join(top,X_119),join(X_119,top)) )],[refute_0_2195,refute_0_2196]) ).

cnf(refute_0_2198,plain,
    join(sk1,join(X_119,top)) = join(top,X_119),
    inference(resolve,[$cnf( $equal(join(sk1,join(top,X_119)),join(top,X_119)) )],[refute_0_2192,refute_0_2197]) ).

cnf(refute_0_2199,plain,
    top = join(join(X_132,X_132),complement(join(X_132,X_132))),
    inference(subst,[],[def_top_12:[bind(A,$fot(join(X_132,X_132)))]]) ).

cnf(refute_0_2200,plain,
    meet(X_16,X_15) = meet(X_15,X_16),
    inference(subst,[],[refute_0_306:[bind(A,$fot(X_16)),bind(B,$fot(X_15))]]) ).

cnf(refute_0_2201,plain,
    ( meet(X_16,X_15) != meet(X_15,X_16)
    | meet(X_15,X_16) = meet(X_16,X_15) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_16,X_15))),bind(Y,$fot(meet(X_15,X_16)))]]) ).

cnf(refute_0_2202,plain,
    meet(X_15,X_16) = meet(X_16,X_15),
    inference(resolve,[$cnf( $equal(meet(X_16,X_15),meet(X_15,X_16)) )],[refute_0_2200,refute_0_2201]) ).

cnf(refute_0_2203,plain,
    ( X_15 != join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))
    | meet(X_15,X_16) != meet(X_16,X_15)
    | X_15 = join(meet(X_16,X_15),complement(join(complement(X_15),X_16))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))) ),[1,0],$fot(meet(X_16,X_15))]]) ).

cnf(refute_0_2204,plain,
    ( X_15 != join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))
    | X_15 = join(meet(X_16,X_15),complement(join(complement(X_15),X_16))) ),
    inference(resolve,[$cnf( $equal(meet(X_15,X_16),meet(X_16,X_15)) )],[refute_0_2202,refute_0_2203]) ).

cnf(refute_0_2205,plain,
    X_15 = join(meet(X_16,X_15),complement(join(complement(X_15),X_16))),
    inference(resolve,[$cnf( $equal(X_15,join(meet(X_15,X_16),complement(join(complement(X_15),X_16)))) )],[refute_0_102,refute_0_2204]) ).

cnf(refute_0_2206,plain,
    complement(X_130) = join(meet(X_130,complement(X_130)),complement(join(complement(complement(X_130)),X_130))),
    inference(subst,[],[refute_0_2205:[bind(X_15,$fot(complement(X_130))),bind(X_16,$fot(X_130))]]) ).

cnf(refute_0_2207,plain,
    zero = meet(X_130,complement(X_130)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(X_130))]]) ).

cnf(refute_0_2208,plain,
    ( zero != meet(X_130,complement(X_130))
    | meet(X_130,complement(X_130)) = zero ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_130,complement(X_130))))]]) ).

cnf(refute_0_2209,plain,
    meet(X_130,complement(X_130)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_130,complement(X_130))) )],[refute_0_2207,refute_0_2208]) ).

cnf(refute_0_2210,plain,
    ( complement(X_130) != join(meet(X_130,complement(X_130)),complement(join(complement(complement(X_130)),X_130)))
    | meet(X_130,complement(X_130)) != zero
    | complement(X_130) = join(zero,complement(join(complement(complement(X_130)),X_130))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(X_130),join(meet(X_130,complement(X_130)),complement(join(complement(complement(X_130)),X_130)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2211,plain,
    ( complement(X_130) != join(meet(X_130,complement(X_130)),complement(join(complement(complement(X_130)),X_130)))
    | complement(X_130) = join(zero,complement(join(complement(complement(X_130)),X_130))) ),
    inference(resolve,[$cnf( $equal(meet(X_130,complement(X_130)),zero) )],[refute_0_2209,refute_0_2210]) ).

cnf(refute_0_2212,plain,
    complement(X_130) = join(zero,complement(join(complement(complement(X_130)),X_130))),
    inference(resolve,[$cnf( $equal(complement(X_130),join(meet(X_130,complement(X_130)),complement(join(complement(complement(X_130)),X_130)))) )],[refute_0_2206,refute_0_2211]) ).

cnf(refute_0_2213,plain,
    complement(complement(X_130)) = X_130,
    inference(subst,[],[refute_0_805:[bind(X_54,$fot(X_130))]]) ).

cnf(refute_0_2214,plain,
    join(X_130,complement(complement(X_130))) = join(X_130,complement(complement(X_130))),
    introduced(tautology,[refl,[$fot(join(X_130,complement(complement(X_130))))]]) ).

cnf(refute_0_2215,plain,
    ( complement(complement(X_130)) != X_130
    | join(X_130,complement(complement(X_130))) != join(X_130,complement(complement(X_130)))
    | join(X_130,complement(complement(X_130))) = join(X_130,X_130) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_130,complement(complement(X_130))),join(X_130,complement(complement(X_130)))) ),[1,1],$fot(X_130)]]) ).

cnf(refute_0_2216,plain,
    ( complement(complement(X_130)) != X_130
    | join(X_130,complement(complement(X_130))) = join(X_130,X_130) ),
    inference(resolve,[$cnf( $equal(join(X_130,complement(complement(X_130))),join(X_130,complement(complement(X_130)))) )],[refute_0_2214,refute_0_2215]) ).

cnf(refute_0_2217,plain,
    join(X_130,complement(complement(X_130))) = join(X_130,X_130),
    inference(resolve,[$cnf( $equal(complement(complement(X_130)),X_130) )],[refute_0_2213,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    join(complement(complement(X_130)),X_130) = join(X_130,complement(complement(X_130))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(X_130)),bind(B,$fot(complement(complement(X_130))))]]) ).

cnf(refute_0_2219,plain,
    ( join(X_130,complement(complement(X_130))) != join(X_130,X_130)
    | join(complement(complement(X_130)),X_130) != join(X_130,complement(complement(X_130)))
    | join(complement(complement(X_130)),X_130) = join(X_130,X_130) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(X_130)),X_130))),bind(Y,$fot(join(X_130,complement(complement(X_130))))),bind(Z,$fot(join(X_130,X_130)))]]) ).

cnf(refute_0_2220,plain,
    ( join(X_130,complement(complement(X_130))) != join(X_130,X_130)
    | join(complement(complement(X_130)),X_130) = join(X_130,X_130) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_130)),X_130),join(X_130,complement(complement(X_130)))) )],[refute_0_2218,refute_0_2219]) ).

cnf(refute_0_2221,plain,
    join(complement(complement(X_130)),X_130) = join(X_130,X_130),
    inference(resolve,[$cnf( $equal(join(X_130,complement(complement(X_130))),join(X_130,X_130)) )],[refute_0_2217,refute_0_2220]) ).

cnf(refute_0_2222,plain,
    complement(join(complement(complement(X_130)),X_130)) = complement(join(complement(complement(X_130)),X_130)),
    introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_130)),X_130)))]]) ).

cnf(refute_0_2223,plain,
    ( complement(join(complement(complement(X_130)),X_130)) != complement(join(complement(complement(X_130)),X_130))
    | join(complement(complement(X_130)),X_130) != join(X_130,X_130)
    | complement(join(complement(complement(X_130)),X_130)) = complement(join(X_130,X_130)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_130)),X_130)),complement(join(complement(complement(X_130)),X_130))) ),[1,0],$fot(join(X_130,X_130))]]) ).

cnf(refute_0_2224,plain,
    ( join(complement(complement(X_130)),X_130) != join(X_130,X_130)
    | complement(join(complement(complement(X_130)),X_130)) = complement(join(X_130,X_130)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_130)),X_130)),complement(join(complement(complement(X_130)),X_130))) )],[refute_0_2222,refute_0_2223]) ).

cnf(refute_0_2225,plain,
    complement(join(complement(complement(X_130)),X_130)) = complement(join(X_130,X_130)),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_130)),X_130),join(X_130,X_130)) )],[refute_0_2221,refute_0_2224]) ).

cnf(refute_0_2226,plain,
    join(zero,complement(join(complement(complement(X_130)),X_130))) = complement(join(complement(complement(X_130)),X_130)),
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(join(complement(complement(X_130)),X_130))))]]) ).

cnf(refute_0_2227,plain,
    ( complement(join(complement(complement(X_130)),X_130)) != complement(join(X_130,X_130))
    | join(zero,complement(join(complement(complement(X_130)),X_130))) != complement(join(complement(complement(X_130)),X_130))
    | join(zero,complement(join(complement(complement(X_130)),X_130))) = complement(join(X_130,X_130)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,complement(join(complement(complement(X_130)),X_130))))),bind(Y,$fot(complement(join(complement(complement(X_130)),X_130)))),bind(Z,$fot(complement(join(X_130,X_130))))]]) ).

cnf(refute_0_2228,plain,
    ( complement(join(complement(complement(X_130)),X_130)) != complement(join(X_130,X_130))
    | join(zero,complement(join(complement(complement(X_130)),X_130))) = complement(join(X_130,X_130)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_130)),X_130))),complement(join(complement(complement(X_130)),X_130))) )],[refute_0_2226,refute_0_2227]) ).

cnf(refute_0_2229,plain,
    join(zero,complement(join(complement(complement(X_130)),X_130))) = complement(join(X_130,X_130)),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_130)),X_130)),complement(join(X_130,X_130))) )],[refute_0_2225,refute_0_2228]) ).

cnf(refute_0_2230,plain,
    ( complement(X_130) != join(zero,complement(join(complement(complement(X_130)),X_130)))
    | join(zero,complement(join(complement(complement(X_130)),X_130))) != complement(join(X_130,X_130))
    | complement(X_130) = complement(join(X_130,X_130)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_130),complement(join(X_130,X_130))) ),[0],$fot(join(zero,complement(join(complement(complement(X_130)),X_130))))]]) ).

cnf(refute_0_2231,plain,
    ( complement(X_130) != join(zero,complement(join(complement(complement(X_130)),X_130)))
    | complement(X_130) = complement(join(X_130,X_130)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_130)),X_130))),complement(join(X_130,X_130))) )],[refute_0_2229,refute_0_2230]) ).

cnf(refute_0_2232,plain,
    complement(X_130) = complement(join(X_130,X_130)),
    inference(resolve,[$cnf( $equal(complement(X_130),join(zero,complement(join(complement(complement(X_130)),X_130)))) )],[refute_0_2212,refute_0_2231]) ).

cnf(refute_0_2233,plain,
    complement(X_132) = complement(join(X_132,X_132)),
    inference(subst,[],[refute_0_2232:[bind(X_130,$fot(X_132))]]) ).

cnf(refute_0_2234,plain,
    ( complement(X_132) != complement(join(X_132,X_132))
    | complement(join(X_132,X_132)) = complement(X_132) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_132))),bind(Y,$fot(complement(join(X_132,X_132))))]]) ).

cnf(refute_0_2235,plain,
    complement(join(X_132,X_132)) = complement(X_132),
    inference(resolve,[$cnf( $equal(complement(X_132),complement(join(X_132,X_132))) )],[refute_0_2233,refute_0_2234]) ).

cnf(refute_0_2236,plain,
    ( complement(join(X_132,X_132)) != complement(X_132)
    | top != join(join(X_132,X_132),complement(join(X_132,X_132)))
    | top = join(join(X_132,X_132),complement(X_132)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_132,X_132),complement(join(X_132,X_132)))) ),[1,1],$fot(complement(X_132))]]) ).

cnf(refute_0_2237,plain,
    ( top != join(join(X_132,X_132),complement(join(X_132,X_132)))
    | top = join(join(X_132,X_132),complement(X_132)) ),
    inference(resolve,[$cnf( $equal(complement(join(X_132,X_132)),complement(X_132)) )],[refute_0_2235,refute_0_2236]) ).

cnf(refute_0_2238,plain,
    top = join(join(X_132,X_132),complement(X_132)),
    inference(resolve,[$cnf( $equal(top,join(join(X_132,X_132),complement(join(X_132,X_132)))) )],[refute_0_2199,refute_0_2237]) ).

cnf(refute_0_2239,plain,
    join(X_132,complement(X_132)) = top,
    inference(subst,[],[refute_0_255:[bind(A,$fot(X_132))]]) ).

cnf(refute_0_2240,plain,
    join(X_132,join(X_132,complement(X_132))) = join(X_132,join(X_132,complement(X_132))),
    introduced(tautology,[refl,[$fot(join(X_132,join(X_132,complement(X_132))))]]) ).

cnf(refute_0_2241,plain,
    ( join(X_132,complement(X_132)) != top
    | join(X_132,join(X_132,complement(X_132))) != join(X_132,join(X_132,complement(X_132)))
    | join(X_132,join(X_132,complement(X_132))) = join(X_132,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_132,join(X_132,complement(X_132))),join(X_132,join(X_132,complement(X_132)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2242,plain,
    ( join(X_132,complement(X_132)) != top
    | join(X_132,join(X_132,complement(X_132))) = join(X_132,top) ),
    inference(resolve,[$cnf( $equal(join(X_132,join(X_132,complement(X_132))),join(X_132,join(X_132,complement(X_132)))) )],[refute_0_2240,refute_0_2241]) ).

cnf(refute_0_2243,plain,
    join(X_132,join(X_132,complement(X_132))) = join(X_132,top),
    inference(resolve,[$cnf( $equal(join(X_132,complement(X_132)),top) )],[refute_0_2239,refute_0_2242]) ).

cnf(refute_0_2244,plain,
    join(join(X_132,X_132),complement(X_132)) = join(X_132,join(X_132,complement(X_132))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_132)),bind(B,$fot(X_132)),bind(C,$fot(complement(X_132)))]]) ).

cnf(refute_0_2245,plain,
    ( join(X_132,join(X_132,complement(X_132))) != join(X_132,top)
    | join(join(X_132,X_132),complement(X_132)) != join(X_132,join(X_132,complement(X_132)))
    | join(join(X_132,X_132),complement(X_132)) = join(X_132,top) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_132,X_132),complement(X_132)))),bind(Y,$fot(join(X_132,join(X_132,complement(X_132))))),bind(Z,$fot(join(X_132,top)))]]) ).

cnf(refute_0_2246,plain,
    ( join(X_132,join(X_132,complement(X_132))) != join(X_132,top)
    | join(join(X_132,X_132),complement(X_132)) = join(X_132,top) ),
    inference(resolve,[$cnf( $equal(join(join(X_132,X_132),complement(X_132)),join(X_132,join(X_132,complement(X_132)))) )],[refute_0_2244,refute_0_2245]) ).

cnf(refute_0_2247,plain,
    join(join(X_132,X_132),complement(X_132)) = join(X_132,top),
    inference(resolve,[$cnf( $equal(join(X_132,join(X_132,complement(X_132))),join(X_132,top)) )],[refute_0_2243,refute_0_2246]) ).

cnf(refute_0_2248,plain,
    ( join(join(X_132,X_132),complement(X_132)) != join(X_132,top)
    | top != join(join(X_132,X_132),complement(X_132))
    | top = join(X_132,top) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_132,X_132),complement(X_132))) ),[1],$fot(join(X_132,top))]]) ).

cnf(refute_0_2249,plain,
    ( top != join(join(X_132,X_132),complement(X_132))
    | top = join(X_132,top) ),
    inference(resolve,[$cnf( $equal(join(join(X_132,X_132),complement(X_132)),join(X_132,top)) )],[refute_0_2247,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    top = join(X_132,top),
    inference(resolve,[$cnf( $equal(top,join(join(X_132,X_132),complement(X_132))) )],[refute_0_2238,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    ( top != join(X_132,top)
    | join(X_132,top) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_132,top)))]]) ).

cnf(refute_0_2252,plain,
    join(X_132,top) = top,
    inference(resolve,[$cnf( $equal(top,join(X_132,top)) )],[refute_0_2250,refute_0_2251]) ).

cnf(refute_0_2253,plain,
    join(X_119,top) = top,
    inference(subst,[],[refute_0_2252:[bind(X_132,$fot(X_119))]]) ).

cnf(refute_0_2254,plain,
    join(sk1,join(X_119,top)) = join(sk1,join(X_119,top)),
    introduced(tautology,[refl,[$fot(join(sk1,join(X_119,top)))]]) ).

cnf(refute_0_2255,plain,
    ( join(X_119,top) != top
    | join(sk1,join(X_119,top)) != join(sk1,join(X_119,top))
    | join(sk1,join(X_119,top)) = join(sk1,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_119,top)),join(sk1,join(X_119,top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2256,plain,
    ( join(X_119,top) != top
    | join(sk1,join(X_119,top)) = join(sk1,top) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(X_119,top)),join(sk1,join(X_119,top))) )],[refute_0_2254,refute_0_2255]) ).

cnf(refute_0_2257,plain,
    join(sk1,join(X_119,top)) = join(sk1,top),
    inference(resolve,[$cnf( $equal(join(X_119,top),top) )],[refute_0_2253,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    ( join(sk1,join(X_119,top)) != join(sk1,top)
    | join(sk1,top) != top
    | join(sk1,join(X_119,top)) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk1,join(X_119,top)))),bind(Y,$fot(join(sk1,top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2259,plain,
    ( join(sk1,top) != top
    | join(sk1,join(X_119,top)) = top ),
    inference(resolve,[$cnf( $equal(join(sk1,join(X_119,top)),join(sk1,top)) )],[refute_0_2257,refute_0_2258]) ).

cnf(refute_0_2260,plain,
    join(sk1,join(X_119,top)) = top,
    inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1971,refute_0_2259]) ).

cnf(refute_0_2261,plain,
    ( join(sk1,join(X_119,top)) != join(top,X_119)
    | join(sk1,join(X_119,top)) != top
    | top = join(top,X_119) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_119,top)),join(top,X_119)) ),[0],$fot(top)]]) ).

cnf(refute_0_2262,plain,
    ( join(sk1,join(X_119,top)) != join(top,X_119)
    | top = join(top,X_119) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(X_119,top)),top) )],[refute_0_2260,refute_0_2261]) ).

cnf(refute_0_2263,plain,
    top = join(top,X_119),
    inference(resolve,[$cnf( $equal(join(sk1,join(X_119,top)),join(top,X_119)) )],[refute_0_2198,refute_0_2262]) ).

cnf(refute_0_2264,plain,
    ( top != join(top,X_119)
    | join(top,X_119) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_119)))]]) ).

cnf(refute_0_2265,plain,
    join(top,X_119) = top,
    inference(resolve,[$cnf( $equal(top,join(top,X_119)) )],[refute_0_2263,refute_0_2264]) ).

cnf(refute_0_2266,plain,
    join(top,X_62) = top,
    inference(subst,[],[refute_0_2265:[bind(X_119,$fot(X_62))]]) ).

cnf(refute_0_2267,plain,
    ( join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(top,X_62)
    | join(top,X_62) != top
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),top) ),[0],$fot(join(top,X_62))]]) ).

cnf(refute_0_2268,plain,
    ( join(X_60,join(converse(complement(converse(X_60))),X_62)) != join(top,X_62)
    | join(X_60,join(converse(complement(converse(X_60))),X_62)) = top ),
    inference(resolve,[$cnf( $equal(join(top,X_62),top) )],[refute_0_2266,refute_0_2267]) ).

cnf(refute_0_2269,plain,
    join(X_60,join(converse(complement(converse(X_60))),X_62)) = top,
    inference(resolve,[$cnf( $equal(join(X_60,join(converse(complement(converse(X_60))),X_62)),join(top,X_62)) )],[refute_0_2187,refute_0_2268]) ).

cnf(refute_0_2270,plain,
    join(sk3,join(converse(complement(converse(sk3))),sk2)) = top,
    inference(subst,[],[refute_0_2269:[bind(X_60,$fot(sk3)),bind(X_62,$fot(sk2))]]) ).

cnf(refute_0_2271,plain,
    join(X_64,sk3) = join(sk3,X_64),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_64)),bind(B,$fot(sk3))]]) ).

cnf(refute_0_2272,plain,
    ( join(X_64,sk3) != join(sk3,X_64)
    | join(sk3,X_64) = join(X_64,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_64,sk3))),bind(Y,$fot(join(sk3,X_64)))]]) ).

cnf(refute_0_2273,plain,
    join(sk3,X_64) = join(X_64,sk3),
    inference(resolve,[$cnf( $equal(join(X_64,sk3),join(sk3,X_64)) )],[refute_0_2271,refute_0_2272]) ).

cnf(refute_0_2274,plain,
    ( join(X_64,sk3) != join(sk1,join(sk2,join(sk3,X_64)))
    | join(sk3,X_64) != join(X_64,sk3)
    | join(X_64,sk3) = join(sk1,join(sk2,join(X_64,sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_64,sk3),join(sk1,join(sk2,join(sk3,X_64)))) ),[1,1,1],$fot(join(X_64,sk3))]]) ).

cnf(refute_0_2275,plain,
    ( join(X_64,sk3) != join(sk1,join(sk2,join(sk3,X_64)))
    | join(X_64,sk3) = join(sk1,join(sk2,join(X_64,sk3))) ),
    inference(resolve,[$cnf( $equal(join(sk3,X_64),join(X_64,sk3)) )],[refute_0_2273,refute_0_2274]) ).

cnf(refute_0_2276,plain,
    join(X_64,sk3) = join(sk1,join(sk2,join(X_64,sk3))),
    inference(resolve,[$cnf( $equal(join(X_64,sk3),join(sk1,join(sk2,join(sk3,X_64)))) )],[refute_0_2026,refute_0_2275]) ).

cnf(refute_0_2277,plain,
    join(join(A,B),sk3) = join(sk1,join(sk2,join(join(A,B),sk3))),
    inference(subst,[],[refute_0_2276:[bind(X_64,$fot(join(A,B)))]]) ).

cnf(refute_0_2278,plain,
    join(A,join(B,sk3)) = join(join(A,B),sk3),
    inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(sk3))]]) ).

cnf(refute_0_2279,plain,
    ( join(A,join(B,sk3)) != join(join(A,B),sk3)
    | join(join(A,B),sk3) = join(A,join(B,sk3)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,sk3)))),bind(Y,$fot(join(join(A,B),sk3)))]]) ).

cnf(refute_0_2280,plain,
    join(join(A,B),sk3) = join(A,join(B,sk3)),
    inference(resolve,[$cnf( $equal(join(A,join(B,sk3)),join(join(A,B),sk3)) )],[refute_0_2278,refute_0_2279]) ).

cnf(refute_0_2281,plain,
    ( join(join(A,B),sk3) != join(A,join(B,sk3))
    | join(join(A,B),sk3) != join(sk1,join(sk2,join(join(A,B),sk3)))
    | join(A,join(B,sk3)) = join(sk1,join(sk2,join(join(A,B),sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(A,B),sk3),join(sk1,join(sk2,join(join(A,B),sk3)))) ),[0],$fot(join(A,join(B,sk3)))]]) ).

cnf(refute_0_2282,plain,
    ( join(join(A,B),sk3) != join(sk1,join(sk2,join(join(A,B),sk3)))
    | join(A,join(B,sk3)) = join(sk1,join(sk2,join(join(A,B),sk3))) ),
    inference(resolve,[$cnf( $equal(join(join(A,B),sk3),join(A,join(B,sk3))) )],[refute_0_2280,refute_0_2281]) ).

cnf(refute_0_2283,plain,
    join(A,join(B,sk3)) = join(sk1,join(sk2,join(join(A,B),sk3))),
    inference(resolve,[$cnf( $equal(join(join(A,B),sk3),join(sk1,join(sk2,join(join(A,B),sk3)))) )],[refute_0_2277,refute_0_2282]) ).

cnf(refute_0_2284,plain,
    join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk2)),bind(B,$fot(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2285,plain,
    ( join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),C)
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != sk3
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk3,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),C)) ),[1,0],$fot(sk3)]]) ).

cnf(refute_0_2286,plain,
    ( join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),C)
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk3,C) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),sk3) )],[refute_0_2077,refute_0_2285]) ).

cnf(refute_0_2287,plain,
    join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk3,C),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),C)) )],[refute_0_2284,refute_0_2286]) ).

cnf(refute_0_2288,plain,
    join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C) = join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk3)),bind(B,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2289,plain,
    join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),
    introduced(tautology,[refl,[$fot(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)))]]) ).

cnf(refute_0_2290,plain,
    ( join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C) != join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C))
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C))) ),[1,1],$fot(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))]]) ).

cnf(refute_0_2291,plain,
    ( join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C) != join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C))) )],[refute_0_2289,refute_0_2290]) ).

cnf(refute_0_2292,plain,
    join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) = join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),
    inference(resolve,[$cnf( $equal(join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C),join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) )],[refute_0_2288,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    ( join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))
    | join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(sk3,C)
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk3,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(sk3,C)) ),[0],$fot(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))))]]) ).

cnf(refute_0_2294,plain,
    ( join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) != join(sk3,C)
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk3,C) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))) )],[refute_0_2292,refute_0_2293]) ).

cnf(refute_0_2295,plain,
    join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk3,C),
    inference(resolve,[$cnf( $equal(join(sk2,join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)),join(sk3,C)) )],[refute_0_2287,refute_0_2294]) ).

cnf(refute_0_2296,plain,
    join(sk1,join(sk2,join(sk3,C))) = join(C,sk3),
    inference(subst,[],[refute_0_2034:[bind(X_60,$fot(C))]]) ).

cnf(refute_0_2297,plain,
    join(sk2,join(sk1,join(sk3,C))) = join(sk1,join(sk2,join(sk3,C))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(sk1)),bind(X_61,$fot(sk2)),bind(X_62,$fot(join(sk3,C)))]]) ).

cnf(refute_0_2298,plain,
    ( join(sk1,join(sk2,join(sk3,C))) != join(C,sk3)
    | join(sk2,join(sk1,join(sk3,C))) != join(sk1,join(sk2,join(sk3,C)))
    | join(sk2,join(sk1,join(sk3,C))) = join(C,sk3) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk2,join(sk1,join(sk3,C))))),bind(Y,$fot(join(sk1,join(sk2,join(sk3,C))))),bind(Z,$fot(join(C,sk3)))]]) ).

cnf(refute_0_2299,plain,
    ( join(sk1,join(sk2,join(sk3,C))) != join(C,sk3)
    | join(sk2,join(sk1,join(sk3,C))) = join(C,sk3) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk1,join(sk3,C))),join(sk1,join(sk2,join(sk3,C)))) )],[refute_0_2297,refute_0_2298]) ).

cnf(refute_0_2300,plain,
    join(sk2,join(sk1,join(sk3,C))) = join(C,sk3),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,C))),join(C,sk3)) )],[refute_0_2296,refute_0_2299]) ).

cnf(refute_0_2301,plain,
    join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk3)),bind(B,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2302,plain,
    join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) = join(sk1,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),
    inference(subst,[],[refute_0_55:[bind(X_60,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2303,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) != join(sk1,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != sk3
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) = join(sk1,sk3) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3),join(sk1,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) ),[1,1],$fot(sk3)]]) ).

cnf(refute_0_2304,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) != join(sk1,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) = join(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),sk3) )],[refute_0_2077,refute_0_2303]) ).

cnf(refute_0_2305,plain,
    join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) = join(sk1,sk3),
    inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3),join(sk1,join(sk2,join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) )],[refute_0_2302,refute_0_2304]) ).

cnf(refute_0_2306,plain,
    join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) = join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(sk3)),bind(B,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2307,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) != join(sk1,sk3)
    | join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) != join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk1,sk3) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3),join(sk1,sk3)) ),[0],$fot(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2308,plain,
    ( join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3) != join(sk1,sk3)
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) )],[refute_0_2306,refute_0_2307]) ).

cnf(refute_0_2309,plain,
    join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk1,sk3),
    inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),sk3),join(sk1,sk3)) )],[refute_0_2305,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    ( join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk1,sk3)
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(join(sk1,sk3),C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) ),[1,0],$fot(join(sk1,sk3))]]) ).

cnf(refute_0_2311,plain,
    ( join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(join(sk1,sk3),C) ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk1,sk3)) )],[refute_0_2309,refute_0_2310]) ).

cnf(refute_0_2312,plain,
    join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(join(sk1,sk3),C),
    inference(resolve,[$cnf( $equal(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),join(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),C)) )],[refute_0_2301,refute_0_2311]) ).

cnf(refute_0_2313,plain,
    join(join(sk1,sk3),C) = join(sk1,join(sk3,C)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(sk3))]]) ).

cnf(refute_0_2314,plain,
    ( join(join(sk1,sk3),C) != join(sk1,join(sk3,C))
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(join(sk1,sk3),C)
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(sk1,join(sk3,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),join(join(sk1,sk3),C)) ),[1],$fot(join(sk1,join(sk3,C)))]]) ).

cnf(refute_0_2315,plain,
    ( join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(join(sk1,sk3),C)
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(sk1,join(sk3,C)) ),
    inference(resolve,[$cnf( $equal(join(join(sk1,sk3),C),join(sk1,join(sk3,C))) )],[refute_0_2313,refute_0_2314]) ).

cnf(refute_0_2316,plain,
    join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) = join(sk1,join(sk3,C)),
    inference(resolve,[$cnf( $equal(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),join(join(sk1,sk3),C)) )],[refute_0_2312,refute_0_2315]) ).

cnf(refute_0_2317,plain,
    join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),
    introduced(tautology,[refl,[$fot(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))))]]) ).

cnf(refute_0_2318,plain,
    ( join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) != join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))
    | join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(sk1,join(sk3,C))
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk2,join(sk1,join(sk3,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))) ),[1,1],$fot(join(sk1,join(sk3,C)))]]) ).

cnf(refute_0_2319,plain,
    ( join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)) != join(sk1,join(sk3,C))
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk2,join(sk1,join(sk3,C))) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)))) )],[refute_0_2317,refute_0_2318]) ).

cnf(refute_0_2320,plain,
    join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(sk2,join(sk1,join(sk3,C))),
    inference(resolve,[$cnf( $equal(join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C)),join(sk1,join(sk3,C))) )],[refute_0_2316,refute_0_2319]) ).

cnf(refute_0_2321,plain,
    ( join(sk2,join(sk1,join(sk3,C))) != join(C,sk3)
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) != join(sk2,join(sk1,join(sk3,C)))
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(C,sk3) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))))),bind(Y,$fot(join(sk2,join(sk1,join(sk3,C))))),bind(Z,$fot(join(C,sk3)))]]) ).

cnf(refute_0_2322,plain,
    ( join(sk2,join(sk1,join(sk3,C))) != join(C,sk3)
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(C,sk3) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(sk2,join(sk1,join(sk3,C)))) )],[refute_0_2320,refute_0_2321]) ).

cnf(refute_0_2323,plain,
    join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) = join(C,sk3),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk1,join(sk3,C))),join(C,sk3)) )],[refute_0_2300,refute_0_2322]) ).

cnf(refute_0_2324,plain,
    ( join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) != join(C,sk3)
    | join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) != join(sk3,C)
    | join(C,sk3) = join(sk3,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(sk3,C)) ),[0],$fot(join(C,sk3))]]) ).

cnf(refute_0_2325,plain,
    ( join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))) != join(sk3,C)
    | join(C,sk3) = join(sk3,C) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(C,sk3)) )],[refute_0_2323,refute_0_2324]) ).

cnf(refute_0_2326,plain,
    join(C,sk3) = join(sk3,C),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,join(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),C))),join(sk3,C)) )],[refute_0_2295,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    join(join(A,B),sk3) = join(sk3,join(A,B)),
    inference(subst,[],[refute_0_2326:[bind(C,$fot(join(A,B)))]]) ).

cnf(refute_0_2328,plain,
    ( join(X_64,sk3) != join(sk1,join(sk2,join(X_64,sk3)))
    | join(sk1,join(sk2,join(X_64,sk3))) = join(X_64,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_64,sk3))),bind(Y,$fot(join(sk1,join(sk2,join(X_64,sk3)))))]]) ).

cnf(refute_0_2329,plain,
    join(sk1,join(sk2,join(X_64,sk3))) = join(X_64,sk3),
    inference(resolve,[$cnf( $equal(join(X_64,sk3),join(sk1,join(sk2,join(X_64,sk3)))) )],[refute_0_2276,refute_0_2328]) ).

cnf(refute_0_2330,plain,
    join(sk1,join(sk2,join(join(A,B),sk3))) = join(join(A,B),sk3),
    inference(subst,[],[refute_0_2329:[bind(X_64,$fot(join(A,B)))]]) ).

cnf(refute_0_2331,plain,
    ( join(join(A,B),sk3) != join(sk3,join(A,B))
    | join(sk1,join(sk2,join(join(A,B),sk3))) != join(join(A,B),sk3)
    | join(sk1,join(sk2,join(join(A,B),sk3))) = join(sk3,join(A,B)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk1,join(sk2,join(join(A,B),sk3))))),bind(Y,$fot(join(join(A,B),sk3))),bind(Z,$fot(join(sk3,join(A,B))))]]) ).

cnf(refute_0_2332,plain,
    ( join(join(A,B),sk3) != join(sk3,join(A,B))
    | join(sk1,join(sk2,join(join(A,B),sk3))) = join(sk3,join(A,B)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(join(A,B),sk3))),join(join(A,B),sk3)) )],[refute_0_2330,refute_0_2331]) ).

cnf(refute_0_2333,plain,
    join(sk1,join(sk2,join(join(A,B),sk3))) = join(sk3,join(A,B)),
    inference(resolve,[$cnf( $equal(join(join(A,B),sk3),join(sk3,join(A,B))) )],[refute_0_2327,refute_0_2332]) ).

cnf(refute_0_2334,plain,
    ( join(A,join(B,sk3)) != join(sk1,join(sk2,join(join(A,B),sk3)))
    | join(sk1,join(sk2,join(join(A,B),sk3))) != join(sk3,join(A,B))
    | join(A,join(B,sk3)) = join(sk3,join(A,B)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(B,sk3)),join(sk3,join(A,B))) ),[0],$fot(join(sk1,join(sk2,join(join(A,B),sk3))))]]) ).

cnf(refute_0_2335,plain,
    ( join(A,join(B,sk3)) != join(sk1,join(sk2,join(join(A,B),sk3)))
    | join(A,join(B,sk3)) = join(sk3,join(A,B)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(join(A,B),sk3))),join(sk3,join(A,B))) )],[refute_0_2333,refute_0_2334]) ).

cnf(refute_0_2336,plain,
    join(A,join(B,sk3)) = join(sk3,join(A,B)),
    inference(resolve,[$cnf( $equal(join(A,join(B,sk3)),join(sk1,join(sk2,join(join(A,B),sk3)))) )],[refute_0_2283,refute_0_2335]) ).

cnf(refute_0_2337,plain,
    join(converse(complement(converse(sk3))),join(sk2,sk3)) = join(sk3,join(converse(complement(converse(sk3))),sk2)),
    inference(subst,[],[refute_0_2336:[bind(A,$fot(converse(complement(converse(sk3))))),bind(B,$fot(sk2))]]) ).

cnf(refute_0_2338,plain,
    ( join(converse(complement(converse(sk3))),join(sk2,sk3)) != join(sk3,join(converse(complement(converse(sk3))),sk2))
    | join(sk3,join(converse(complement(converse(sk3))),sk2)) != top
    | join(converse(complement(converse(sk3))),join(sk2,sk3)) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(complement(converse(sk3))),join(sk2,sk3)))),bind(Y,$fot(join(sk3,join(converse(complement(converse(sk3))),sk2)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2339,plain,
    ( join(sk3,join(converse(complement(converse(sk3))),sk2)) != top
    | join(converse(complement(converse(sk3))),join(sk2,sk3)) = top ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(sk3))),join(sk2,sk3)),join(sk3,join(converse(complement(converse(sk3))),sk2))) )],[refute_0_2337,refute_0_2338]) ).

cnf(refute_0_2340,plain,
    join(converse(complement(converse(sk3))),join(sk2,sk3)) = top,
    inference(resolve,[$cnf( $equal(join(sk3,join(converse(complement(converse(sk3))),sk2)),top) )],[refute_0_2270,refute_0_2339]) ).

cnf(refute_0_2341,plain,
    converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = join(converse(complement(converse(sk3))),join(sk2,sk3)),
    inference(subst,[],[refute_0_886:[bind(A,$fot(join(sk2,sk3))),bind(X_19,$fot(complement(converse(sk3))))]]) ).

cnf(refute_0_2342,plain,
    ( converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != join(converse(complement(converse(sk3))),join(sk2,sk3))
    | join(converse(complement(converse(sk3))),join(sk2,sk3)) != top
    | converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = top ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(Y,$fot(join(converse(complement(converse(sk3))),join(sk2,sk3)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2343,plain,
    ( join(converse(complement(converse(sk3))),join(sk2,sk3)) != top
    | converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = top ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(complement(converse(sk3))),join(sk2,sk3))) )],[refute_0_2341,refute_0_2342]) ).

cnf(refute_0_2344,plain,
    converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = top,
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(sk3))),join(sk2,sk3)),top) )],[refute_0_2340,refute_0_2343]) ).

cnf(refute_0_2345,plain,
    complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    introduced(tautology,[refl,[$fot(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2346,plain,
    ( complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != top
    | complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2347,plain,
    ( converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != top
    | complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2345,refute_0_2346]) ).

cnf(refute_0_2348,plain,
    complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))),top) )],[refute_0_2344,refute_0_2347]) ).

cnf(refute_0_2349,plain,
    ( complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != complement(top)
    | complement(top) != zero
    | complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2350,plain,
    ( complement(top) != zero
    | complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))),complement(top)) )],[refute_0_2348,refute_0_2349]) ).

cnf(refute_0_2351,plain,
    complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_2350]) ).

cnf(refute_0_2352,plain,
    join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),
    introduced(tautology,[refl,[$fot(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2353,plain,
    ( complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != zero
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk3,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2354,plain,
    ( complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != zero
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk3,zero) ),
    inference(resolve,[$cnf( $equal(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) )],[refute_0_2352,refute_0_2353]) ).

cnf(refute_0_2355,plain,
    join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk3,zero),
    inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))),zero) )],[refute_0_2351,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    ( join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(sk3,zero)
    | join(sk3,zero) != sk3
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = sk3 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),bind(Y,$fot(join(sk3,zero))),bind(Z,$fot(sk3))]]) ).

cnf(refute_0_2357,plain,
    ( join(sk3,zero) != sk3
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(sk3,zero)) )],[refute_0_2355,refute_0_2356]) ).

cnf(refute_0_2358,plain,
    join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = sk3,
    inference(resolve,[$cnf( $equal(join(sk3,zero),sk3) )],[refute_0_2180,refute_0_2357]) ).

cnf(refute_0_2359,plain,
    join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),
    introduced(tautology,[refl,[$fot(join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2360,plain,
    ( join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))
    | join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != sk3
    | join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = join(sk2,sk3) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),[1,1],$fot(sk3)]]) ).

cnf(refute_0_2361,plain,
    ( join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != sk3
    | join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = join(sk2,sk3) ),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) )],[refute_0_2359,refute_0_2360]) ).

cnf(refute_0_2362,plain,
    join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = join(sk2,sk3),
    inference(resolve,[$cnf( $equal(join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),sk3) )],[refute_0_2358,refute_0_2361]) ).

cnf(refute_0_2363,plain,
    join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(sk2)),bind(B,$fot(sk3)),bind(C,$fot(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2364,plain,
    ( join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))
    | join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != join(sk2,sk3)
    | join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk2,sk3) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),bind(Y,$fot(join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))),bind(Z,$fot(join(sk2,sk3)))]]) ).

cnf(refute_0_2365,plain,
    ( join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != join(sk2,sk3)
    | join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk2,sk3) ),
    inference(resolve,[$cnf( $equal(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) )],[refute_0_2363,refute_0_2364]) ).

cnf(refute_0_2366,plain,
    join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(sk2,sk3),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),join(sk2,sk3)) )],[refute_0_2362,refute_0_2365]) ).

cnf(refute_0_2367,plain,
    converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),
    introduced(tautology,[refl,[$fot(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2368,plain,
    ( converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))
    | join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(sk2,sk3)
    | converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = converse(join(sk2,sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),[1,0],$fot(join(sk2,sk3))]]) ).

cnf(refute_0_2369,plain,
    ( join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(sk2,sk3)
    | converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = converse(join(sk2,sk3)) ),
    inference(resolve,[$cnf( $equal(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) )],[refute_0_2367,refute_0_2368]) ).

cnf(refute_0_2370,plain,
    converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) = converse(join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(sk2,sk3)) )],[refute_0_2366,refute_0_2369]) ).

cnf(refute_0_2371,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    introduced(tautology,[refl,[$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2372,plain,
    ( converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != converse(join(sk2,sk3))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) ),[1,1],$fot(converse(join(sk2,sk3)))]]) ).

cnf(refute_0_2373,plain,
    ( converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))) != converse(join(sk2,sk3))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2371,refute_0_2372]) ).

cnf(refute_0_2374,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),converse(join(sk2,sk3))) )],[refute_0_2370,refute_0_2373]) ).

cnf(refute_0_2375,plain,
    ( join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Y,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))))),bind(Z,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2376,plain,
    ( join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3)))) )],[refute_0_2374,refute_0_2375]) ).

cnf(refute_0_2377,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2179,refute_0_2376]) ).

cnf(refute_0_2378,plain,
    join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(subst,[],[refute_0_72:[bind(A,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(B,$fot(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2379,plain,
    converse(join(A,join(X_22,converse(X_21)))) = join(converse(A),converse(join(X_22,converse(X_21)))),
    inference(subst,[],[converse_additivity_9:[bind(B,$fot(join(X_22,converse(X_21))))]]) ).

cnf(refute_0_2380,plain,
    converse(join(X_22,converse(X_21))) = join(converse(X_22),X_21),
    inference(subst,[],[refute_0_886:[bind(A,$fot(X_21)),bind(X_19,$fot(X_22))]]) ).

cnf(refute_0_2381,plain,
    ( converse(join(A,join(X_22,converse(X_21)))) != join(converse(A),converse(join(X_22,converse(X_21))))
    | converse(join(X_22,converse(X_21))) != join(converse(X_22),X_21)
    | converse(join(A,join(X_22,converse(X_21)))) = join(converse(A),join(converse(X_22),X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_22,converse(X_21)))),join(converse(A),converse(join(X_22,converse(X_21))))) ),[1,1],$fot(join(converse(X_22),X_21))]]) ).

cnf(refute_0_2382,plain,
    ( converse(join(A,join(X_22,converse(X_21)))) != join(converse(A),converse(join(X_22,converse(X_21))))
    | converse(join(A,join(X_22,converse(X_21)))) = join(converse(A),join(converse(X_22),X_21)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_22,converse(X_21))),join(converse(X_22),X_21)) )],[refute_0_2380,refute_0_2381]) ).

cnf(refute_0_2383,plain,
    converse(join(A,join(X_22,converse(X_21)))) = join(converse(A),join(converse(X_22),X_21)),
    inference(resolve,[$cnf( $equal(converse(join(A,join(X_22,converse(X_21)))),join(converse(A),converse(join(X_22,converse(X_21))))) )],[refute_0_2379,refute_0_2382]) ).

cnf(refute_0_2384,plain,
    converse(join(join(X_60,X_61),converse(A))) = join(converse(join(X_60,X_61)),A),
    inference(subst,[],[refute_0_886:[bind(X_19,$fot(join(X_60,X_61)))]]) ).

cnf(refute_0_2385,plain,
    join(X_60,join(X_61,converse(A))) = join(join(X_60,X_61),converse(A)),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(converse(A)))]]) ).

cnf(refute_0_2386,plain,
    ( join(X_60,join(X_61,converse(A))) != join(join(X_60,X_61),converse(A))
    | join(join(X_60,X_61),converse(A)) = join(X_60,join(X_61,converse(A))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,join(X_61,converse(A))))),bind(Y,$fot(join(join(X_60,X_61),converse(A))))]]) ).

cnf(refute_0_2387,plain,
    join(join(X_60,X_61),converse(A)) = join(X_60,join(X_61,converse(A))),
    inference(resolve,[$cnf( $equal(join(X_60,join(X_61,converse(A))),join(join(X_60,X_61),converse(A))) )],[refute_0_2385,refute_0_2386]) ).

cnf(refute_0_2388,plain,
    ( converse(join(join(X_60,X_61),converse(A))) != join(converse(join(X_60,X_61)),A)
    | join(join(X_60,X_61),converse(A)) != join(X_60,join(X_61,converse(A)))
    | converse(join(X_60,join(X_61,converse(A)))) = join(converse(join(X_60,X_61)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_60,X_61),converse(A))),join(converse(join(X_60,X_61)),A)) ),[0,0],$fot(join(X_60,join(X_61,converse(A))))]]) ).

cnf(refute_0_2389,plain,
    ( converse(join(join(X_60,X_61),converse(A))) != join(converse(join(X_60,X_61)),A)
    | converse(join(X_60,join(X_61,converse(A)))) = join(converse(join(X_60,X_61)),A) ),
    inference(resolve,[$cnf( $equal(join(join(X_60,X_61),converse(A)),join(X_60,join(X_61,converse(A)))) )],[refute_0_2387,refute_0_2388]) ).

cnf(refute_0_2390,plain,
    converse(join(X_60,join(X_61,converse(A)))) = join(converse(join(X_60,X_61)),A),
    inference(resolve,[$cnf( $equal(converse(join(join(X_60,X_61),converse(A))),join(converse(join(X_60,X_61)),A)) )],[refute_0_2384,refute_0_2389]) ).

cnf(refute_0_2391,plain,
    converse(join(A,join(X_22,converse(X_21)))) = join(converse(join(A,X_22)),X_21),
    inference(subst,[],[refute_0_2390:[bind(A,$fot(X_21)),bind(X_60,$fot(A)),bind(X_61,$fot(X_22))]]) ).

cnf(refute_0_2392,plain,
    ( converse(join(A,join(X_22,converse(X_21)))) != join(converse(A),join(converse(X_22),X_21))
    | converse(join(A,join(X_22,converse(X_21)))) != join(converse(join(A,X_22)),X_21)
    | join(converse(join(A,X_22)),X_21) = join(converse(A),join(converse(X_22),X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_22,converse(X_21)))),join(converse(A),join(converse(X_22),X_21))) ),[0],$fot(join(converse(join(A,X_22)),X_21))]]) ).

cnf(refute_0_2393,plain,
    ( converse(join(A,join(X_22,converse(X_21)))) != join(converse(A),join(converse(X_22),X_21))
    | join(converse(join(A,X_22)),X_21) = join(converse(A),join(converse(X_22),X_21)) ),
    inference(resolve,[$cnf( $equal(converse(join(A,join(X_22,converse(X_21)))),join(converse(join(A,X_22)),X_21)) )],[refute_0_2391,refute_0_2392]) ).

cnf(refute_0_2394,plain,
    join(converse(join(A,X_22)),X_21) = join(converse(A),join(converse(X_22),X_21)),
    inference(resolve,[$cnf( $equal(converse(join(A,join(X_22,converse(X_21)))),join(converse(A),join(converse(X_22),X_21))) )],[refute_0_2383,refute_0_2393]) ).

cnf(refute_0_2395,plain,
    ( join(converse(join(A,X_22)),X_21) != join(converse(A),join(converse(X_22),X_21))
    | join(converse(A),join(converse(X_22),X_21)) = join(converse(join(A,X_22)),X_21) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(join(A,X_22)),X_21))),bind(Y,$fot(join(converse(A),join(converse(X_22),X_21))))]]) ).

cnf(refute_0_2396,plain,
    join(converse(A),join(converse(X_22),X_21)) = join(converse(join(A,X_22)),X_21),
    inference(resolve,[$cnf( $equal(join(converse(join(A,X_22)),X_21),join(converse(A),join(converse(X_22),X_21))) )],[refute_0_2394,refute_0_2395]) ).

cnf(refute_0_2397,plain,
    join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    inference(subst,[],[refute_0_2396:[bind(A,$fot(join(sk2,sk3))),bind(X_21,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(X_22,$fot(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2398,plain,
    ( join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),bind(Y,$fot(join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))),bind(Z,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))]]) ).

cnf(refute_0_2399,plain,
    ( join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2397,refute_0_2398]) ).

cnf(refute_0_2400,plain,
    join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2378,refute_0_2399]) ).

cnf(refute_0_2401,plain,
    join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),
    inference(subst,[],[refute_0_441:[bind(X_60,$fot(converse(join(sk2,sk3)))),bind(X_61,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(X_62,$fot(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2402,plain,
    ( join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))
    | join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Y,$fot(join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),bind(Z,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))]]) ).

cnf(refute_0_2403,plain,
    ( join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3))))))) )],[refute_0_2401,refute_0_2402]) ).

cnf(refute_0_2404,plain,
    join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),join(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2400,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(subst,[],[refute_0_741:[bind(X_60,$fot(converse(join(sk2,sk3)))),bind(X_61,$fot(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(X_62,$fot(converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2406,plain,
    ( join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Y,$fot(join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Z,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))))]]) ).

cnf(refute_0_2407,plain,
    ( join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2405,refute_0_2406]) ).

cnf(refute_0_2408,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2404,refute_0_2407]) ).

cnf(refute_0_2409,plain,
    ( join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Y,$fot(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))))),bind(Z,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2410,plain,
    ( join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2408,refute_0_2409]) ).

cnf(refute_0_2411,plain,
    join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),converse(join(join(sk2,sk3),complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2377,refute_0_2410]) ).

cnf(refute_0_2412,plain,
    ( join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))) != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | top != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | top = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) ),[1],$fot(join(complement(converse(sk3)),converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2413,plain,
    ( top != join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))
    | top = join(complement(converse(sk3)),converse(join(sk2,sk3))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3)))))))),join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2411,refute_0_2412]) ).

cnf(refute_0_2414,plain,
    top = join(complement(converse(sk3)),converse(join(sk2,sk3))),
    inference(resolve,[$cnf( $equal(top,join(meet(complement(converse(join(sk2,sk3))),join(complement(converse(sk3)),converse(join(sk2,sk3)))),join(converse(join(sk2,sk3)),converse(complement(converse(join(complement(converse(sk3)),converse(join(sk2,sk3))))))))) )],[refute_0_2175,refute_0_2413]) ).

cnf(refute_0_2415,plain,
    ( top != join(complement(converse(sk3)),converse(join(sk2,sk3)))
    | join(complement(converse(sk3)),converse(join(sk2,sk3))) = top ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2416,plain,
    join(complement(converse(sk3)),converse(join(sk2,sk3))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(converse(sk3)),converse(join(sk2,sk3)))) )],[refute_0_2414,refute_0_2415]) ).

cnf(refute_0_2417,plain,
    complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),
    introduced(tautology,[refl,[$fot(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2418,plain,
    ( complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))
    | join(complement(converse(sk3)),converse(join(sk2,sk3))) != top
    | complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2419,plain,
    ( join(complement(converse(sk3)),converse(join(sk2,sk3))) != top
    | complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) )],[refute_0_2417,refute_0_2418]) ).

cnf(refute_0_2420,plain,
    complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),converse(join(sk2,sk3))),top) )],[refute_0_2416,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    ( complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != complement(top)
    | complement(top) != zero
    | complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2422,plain,
    ( complement(top) != zero
    | complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),complement(top)) )],[refute_0_2420,refute_0_2421]) ).

cnf(refute_0_2423,plain,
    complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_273,refute_0_2422]) ).

cnf(refute_0_2424,plain,
    join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),
    introduced(tautology,[refl,[$fot(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2425,plain,
    ( complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != zero
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(converse(join(sk2,sk3)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2426,plain,
    ( complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))) != zero
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(converse(join(sk2,sk3)),zero) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2424,refute_0_2425]) ).

cnf(refute_0_2427,plain,
    join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = join(converse(join(sk2,sk3)),zero),
    inference(resolve,[$cnf( $equal(complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))),zero) )],[refute_0_2423,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    ( join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != join(converse(join(sk2,sk3)),zero)
    | join(converse(join(sk2,sk3)),zero) != converse(join(sk2,sk3))
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = converse(join(sk2,sk3)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))))),bind(Y,$fot(join(converse(join(sk2,sk3)),zero))),bind(Z,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2429,plain,
    ( join(converse(join(sk2,sk3)),zero) != converse(join(sk2,sk3))
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = converse(join(sk2,sk3)) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),join(converse(join(sk2,sk3)),zero)) )],[refute_0_2427,refute_0_2428]) ).

cnf(refute_0_2430,plain,
    join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) = converse(join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),zero),converse(join(sk2,sk3))) )],[refute_0_2138,refute_0_2429]) ).

cnf(refute_0_2431,plain,
    ( converse(sk3) != join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))) != converse(join(sk2,sk3))
    | converse(sk3) = converse(join(sk2,sk3)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk3),converse(join(sk2,sk3))) ),[0],$fot(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2432,plain,
    ( converse(sk3) != join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))
    | converse(sk3) = converse(join(sk2,sk3)) ),
    inference(resolve,[$cnf( $equal(join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3))))),converse(join(sk2,sk3))) )],[refute_0_2430,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    converse(sk3) = converse(join(sk2,sk3)),
    inference(resolve,[$cnf( $equal(converse(sk3),join(converse(join(sk2,sk3)),complement(join(complement(converse(sk3)),converse(join(sk2,sk3)))))) )],[refute_0_2137,refute_0_2432]) ).

cnf(refute_0_2434,plain,
    ( converse(sk3) != converse(join(sk2,sk3))
    | converse(join(sk2,sk3)) = converse(sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk3))),bind(Y,$fot(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2435,plain,
    converse(join(sk2,sk3)) = converse(sk3),
    inference(resolve,[$cnf( $equal(converse(sk3),converse(join(sk2,sk3))) )],[refute_0_2433,refute_0_2434]) ).

cnf(refute_0_2436,plain,
    complement(converse(join(sk2,sk3))) = complement(converse(join(sk2,sk3))),
    introduced(tautology,[refl,[$fot(complement(converse(join(sk2,sk3))))]]) ).

cnf(refute_0_2437,plain,
    ( complement(converse(join(sk2,sk3))) != complement(converse(join(sk2,sk3)))
    | converse(join(sk2,sk3)) != converse(sk3)
    | complement(converse(join(sk2,sk3))) = complement(converse(sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk2,sk3))),complement(converse(join(sk2,sk3)))) ),[1,0],$fot(converse(sk3))]]) ).

cnf(refute_0_2438,plain,
    ( converse(join(sk2,sk3)) != converse(sk3)
    | complement(converse(join(sk2,sk3))) = complement(converse(sk3)) ),
    inference(resolve,[$cnf( $equal(complement(converse(join(sk2,sk3))),complement(converse(join(sk2,sk3)))) )],[refute_0_2436,refute_0_2437]) ).

cnf(refute_0_2439,plain,
    complement(converse(join(sk2,sk3))) = complement(converse(sk3)),
    inference(resolve,[$cnf( $equal(converse(join(sk2,sk3)),converse(sk3)) )],[refute_0_2435,refute_0_2438]) ).

cnf(refute_0_2440,plain,
    meet(converse(sk3),complement(converse(join(sk2,sk3)))) = meet(converse(sk3),complement(converse(join(sk2,sk3)))),
    introduced(tautology,[refl,[$fot(meet(converse(sk3),complement(converse(join(sk2,sk3)))))]]) ).

cnf(refute_0_2441,plain,
    ( complement(converse(join(sk2,sk3))) != complement(converse(sk3))
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) != meet(converse(sk3),complement(converse(join(sk2,sk3))))
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) = meet(converse(sk3),complement(converse(sk3))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),complement(converse(join(sk2,sk3)))),meet(converse(sk3),complement(converse(join(sk2,sk3))))) ),[1,1],$fot(complement(converse(sk3)))]]) ).

cnf(refute_0_2442,plain,
    ( complement(converse(join(sk2,sk3))) != complement(converse(sk3))
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) = meet(converse(sk3),complement(converse(sk3))) ),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(join(sk2,sk3)))),meet(converse(sk3),complement(converse(join(sk2,sk3))))) )],[refute_0_2440,refute_0_2441]) ).

cnf(refute_0_2443,plain,
    meet(converse(sk3),complement(converse(join(sk2,sk3)))) = meet(converse(sk3),complement(converse(sk3))),
    inference(resolve,[$cnf( $equal(complement(converse(join(sk2,sk3))),complement(converse(sk3))) )],[refute_0_2439,refute_0_2442]) ).

cnf(refute_0_2444,plain,
    ( meet(converse(sk3),complement(converse(join(sk2,sk3)))) != meet(converse(sk3),complement(converse(sk3)))
    | meet(converse(sk3),complement(converse(sk3))) != zero
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),bind(Y,$fot(meet(converse(sk3),complement(converse(sk3))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2445,plain,
    ( meet(converse(sk3),complement(converse(sk3))) != zero
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(join(sk2,sk3)))),meet(converse(sk3),complement(converse(sk3)))) )],[refute_0_2443,refute_0_2444]) ).

cnf(refute_0_2446,plain,
    meet(converse(sk3),complement(converse(join(sk2,sk3)))) = zero,
    inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(sk3))),zero) )],[refute_0_2121,refute_0_2445]) ).

cnf(refute_0_2447,plain,
    converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),
    introduced(tautology,[refl,[$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))]]) ).

cnf(refute_0_2448,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))
    | meet(converse(sk3),complement(converse(join(sk2,sk3)))) != zero
    | converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2449,plain,
    ( meet(converse(sk3),complement(converse(join(sk2,sk3)))) != zero
    | converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) )],[refute_0_2447,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = converse(zero),
    inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(join(sk2,sk3)))),zero) )],[refute_0_2446,refute_0_2449]) ).

cnf(refute_0_2451,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != converse(zero)
    | converse(zero) != zero
    | converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = zero ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2452,plain,
    ( converse(zero) != zero
    | converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),converse(zero)) )],[refute_0_2450,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2120,refute_0_2452]) ).

cnf(refute_0_2454,plain,
    join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),
    introduced(tautology,[refl,[$fot(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2455,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != zero
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk2,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2456,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != zero
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk2,zero) ),
    inference(resolve,[$cnf( $equal(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) )],[refute_0_2454,refute_0_2455]) ).

cnf(refute_0_2457,plain,
    join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk2,zero),
    inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),zero) )],[refute_0_2453,refute_0_2456]) ).

cnf(refute_0_2458,plain,
    ( join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk2,zero)
    | join(sk2,zero) != sk2
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk2 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),bind(Y,$fot(join(sk2,zero))),bind(Z,$fot(sk2))]]) ).

cnf(refute_0_2459,plain,
    ( join(sk2,zero) != sk2
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk2 ),
    inference(resolve,[$cnf( $equal(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk2,zero)) )],[refute_0_2457,refute_0_2458]) ).

cnf(refute_0_2460,plain,
    join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk2,
    inference(resolve,[$cnf( $equal(join(sk2,zero),sk2) )],[refute_0_2094,refute_0_2459]) ).

cnf(refute_0_2461,plain,
    join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),
    introduced(tautology,[refl,[$fot(join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))]]) ).

cnf(refute_0_2462,plain,
    ( join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))
    | join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != sk2
    | join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(A,sk2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) ),[1,1],$fot(sk2)]]) ).

cnf(refute_0_2463,plain,
    ( join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != sk2
    | join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(A,sk2) ),
    inference(resolve,[$cnf( $equal(join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) )],[refute_0_2461,refute_0_2462]) ).

cnf(refute_0_2464,plain,
    join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) = join(A,sk2),
    inference(resolve,[$cnf( $equal(join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),sk2) )],[refute_0_2460,refute_0_2463]) ).

cnf(refute_0_2465,plain,
    join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),
    introduced(tautology,[refl,[$fot(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2466,plain,
    ( join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(A,sk2)
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk3,join(A,sk2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) ),[1,1],$fot(join(A,sk2))]]) ).

cnf(refute_0_2467,plain,
    ( join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) != join(A,sk2)
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk3,join(A,sk2)) ),
    inference(resolve,[$cnf( $equal(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) )],[refute_0_2465,refute_0_2466]) ).

cnf(refute_0_2468,plain,
    join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk3,join(A,sk2)),
    inference(resolve,[$cnf( $equal(join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))),join(A,sk2)) )],[refute_0_2464,refute_0_2467]) ).

cnf(refute_0_2469,plain,
    ( join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) != join(sk3,join(A,sk2))
    | join(sk3,join(A,sk2)) != join(sk2,join(sk3,A))
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk2,join(sk3,A)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))))),bind(Y,$fot(join(sk3,join(A,sk2)))),bind(Z,$fot(join(sk2,join(sk3,A))))]]) ).

cnf(refute_0_2470,plain,
    ( join(sk3,join(A,sk2)) != join(sk2,join(sk3,A))
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk2,join(sk3,A)) ),
    inference(resolve,[$cnf( $equal(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(sk3,join(A,sk2))) )],[refute_0_2468,refute_0_2469]) ).

cnf(refute_0_2471,plain,
    join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) = join(sk2,join(sk3,A)),
    inference(resolve,[$cnf( $equal(join(sk3,join(A,sk2)),join(sk2,join(sk3,A))) )],[refute_0_2093,refute_0_2470]) ).

cnf(refute_0_2472,plain,
    ( join(A,sk3) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))) != join(sk2,join(sk3,A))
    | join(A,sk3) = join(sk2,join(sk3,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(A,sk3),join(sk2,join(sk3,A))) ),[0],$fot(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))))]]) ).

cnf(refute_0_2473,plain,
    ( join(A,sk3) != join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))
    | join(A,sk3) = join(sk2,join(sk3,A)) ),
    inference(resolve,[$cnf( $equal(join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),join(sk2,join(sk3,A))) )],[refute_0_2471,refute_0_2472]) ).

cnf(refute_0_2474,plain,
    join(A,sk3) = join(sk2,join(sk3,A)),
    inference(resolve,[$cnf( $equal(join(A,sk3),join(sk3,join(A,join(sk2,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))))) )],[refute_0_2092,refute_0_2473]) ).

cnf(refute_0_2475,plain,
    ( join(A,sk3) != join(sk2,join(sk3,A))
    | join(sk2,join(sk3,A)) = join(A,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,sk3))),bind(Y,$fot(join(sk2,join(sk3,A))))]]) ).

cnf(refute_0_2476,plain,
    join(sk2,join(sk3,A)) = join(A,sk3),
    inference(resolve,[$cnf( $equal(join(A,sk3),join(sk2,join(sk3,A))) )],[refute_0_2474,refute_0_2475]) ).

cnf(refute_0_2477,plain,
    join(sk2,join(sk3,X_60)) = join(X_60,sk3),
    inference(subst,[],[refute_0_2476:[bind(A,$fot(X_60))]]) ).

cnf(refute_0_2478,plain,
    join(sk1,join(sk2,join(sk3,X_60))) = join(sk1,join(sk2,join(sk3,X_60))),
    introduced(tautology,[refl,[$fot(join(sk1,join(sk2,join(sk3,X_60))))]]) ).

cnf(refute_0_2479,plain,
    ( join(sk1,join(sk2,join(sk3,X_60))) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk2,join(sk3,X_60)) != join(X_60,sk3)
    | join(sk1,join(sk2,join(sk3,X_60))) = join(sk1,join(X_60,sk3)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,join(sk3,X_60))),join(sk1,join(sk2,join(sk3,X_60)))) ),[1,1],$fot(join(X_60,sk3))]]) ).

cnf(refute_0_2480,plain,
    ( join(sk2,join(sk3,X_60)) != join(X_60,sk3)
    | join(sk1,join(sk2,join(sk3,X_60))) = join(sk1,join(X_60,sk3)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,X_60))),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_2478,refute_0_2479]) ).

cnf(refute_0_2481,plain,
    join(sk1,join(sk2,join(sk3,X_60))) = join(sk1,join(X_60,sk3)),
    inference(resolve,[$cnf( $equal(join(sk2,join(sk3,X_60)),join(X_60,sk3)) )],[refute_0_2477,refute_0_2480]) ).

cnf(refute_0_2482,plain,
    ( join(X_60,sk3) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(sk1,join(sk2,join(sk3,X_60))) != join(sk1,join(X_60,sk3))
    | join(X_60,sk3) = join(sk1,join(X_60,sk3)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,sk3),join(sk1,join(X_60,sk3))) ),[0],$fot(join(sk1,join(sk2,join(sk3,X_60))))]]) ).

cnf(refute_0_2483,plain,
    ( join(X_60,sk3) != join(sk1,join(sk2,join(sk3,X_60)))
    | join(X_60,sk3) = join(sk1,join(X_60,sk3)) ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,join(sk3,X_60))),join(sk1,join(X_60,sk3))) )],[refute_0_2481,refute_0_2482]) ).

cnf(refute_0_2484,plain,
    join(X_60,sk3) = join(sk1,join(X_60,sk3)),
    inference(resolve,[$cnf( $equal(join(X_60,sk3),join(sk1,join(sk2,join(sk3,X_60)))) )],[refute_0_55,refute_0_2483]) ).

cnf(refute_0_2485,plain,
    ( join(X_60,sk3) != join(sk1,join(X_60,sk3))
    | join(sk1,join(X_60,sk3)) = join(X_60,sk3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_60,sk3))),bind(Y,$fot(join(sk1,join(X_60,sk3))))]]) ).

cnf(refute_0_2486,plain,
    join(sk1,join(X_60,sk3)) = join(X_60,sk3),
    inference(resolve,[$cnf( $equal(join(X_60,sk3),join(sk1,join(X_60,sk3))) )],[refute_0_2484,refute_0_2485]) ).

cnf(refute_0_2487,plain,
    join(sk1,join(sk2,sk3)) = join(sk2,sk3),
    inference(subst,[],[refute_0_2486:[bind(X_60,$fot(sk2))]]) ).

cnf(refute_0_2488,plain,
    ( join(sk1,join(sk2,sk3)) != join(sk2,sk3)
    | join(sk1,join(sk2,sk3)) != sk3
    | join(sk2,sk3) = sk3 ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,sk3)),sk3) ),[0],$fot(join(sk2,sk3))]]) ).

cnf(refute_0_2489,plain,
    ( join(sk1,join(sk2,sk3)) != sk3
    | join(sk2,sk3) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,sk3)),join(sk2,sk3)) )],[refute_0_2487,refute_0_2488]) ).

cnf(refute_0_2490,plain,
    join(sk2,sk3) = sk3,
    inference(resolve,[$cnf( $equal(join(sk1,join(sk2,sk3)),sk3) )],[refute_0_8,refute_0_2489]) ).

cnf(refute_0_2491,plain,
    ( join(sk2,sk3) != sk3
    | sk3 != sk3
    | join(sk2,sk3) = sk3 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(sk2,sk3),sk3) ),[0],$fot(sk3)]]) ).

cnf(refute_0_2492,plain,
    ( sk3 != sk3
    | join(sk2,sk3) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk2,sk3),sk3) )],[refute_0_2490,refute_0_2491]) ).

cnf(refute_0_2493,plain,
    ( join(sk1,sk3) != sk3
    | sk3 != sk3 ),
    inference(resolve,[$cnf( $equal(join(sk2,sk3),sk3) )],[refute_0_2492,goals_15]) ).

cnf(refute_0_2494,plain,
    join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),
    introduced(tautology,[refl,[$fot(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))]]) ).

cnf(refute_0_2495,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != zero
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk3,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2496,plain,
    ( converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))) != zero
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk3,zero) ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))))) )],[refute_0_2494,refute_0_2495]) ).

cnf(refute_0_2497,plain,
    join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = join(sk3,zero),
    inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(join(sk2,sk3))))),zero) )],[refute_0_2453,refute_0_2496]) ).

cnf(refute_0_2498,plain,
    ( join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk3,zero)
    | join(sk3,zero) != sk3
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk3 ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))))),bind(Y,$fot(join(sk3,zero))),bind(Z,$fot(sk3))]]) ).

cnf(refute_0_2499,plain,
    ( join(sk3,zero) != sk3
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk3,zero)) )],[refute_0_2497,refute_0_2498]) ).

cnf(refute_0_2500,plain,
    join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) = sk3,
    inference(resolve,[$cnf( $equal(join(sk3,zero),sk3) )],[refute_0_2180,refute_0_2499]) ).

cnf(refute_0_2501,plain,
    ( join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk1,sk3)
    | join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != sk3
    | sk3 = join(sk1,sk3) ),
    introduced(tautology,[equality,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk1,sk3)) ),[0],$fot(sk3)]]) ).

cnf(refute_0_2502,plain,
    ( join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))) != join(sk1,sk3)
    | sk3 = join(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),sk3) )],[refute_0_2500,refute_0_2501]) ).

cnf(refute_0_2503,plain,
    sk3 = join(sk1,sk3),
    inference(resolve,[$cnf( $equal(join(sk3,converse(meet(converse(sk3),complement(converse(join(sk2,sk3)))))),join(sk1,sk3)) )],[refute_0_2309,refute_0_2502]) ).

cnf(refute_0_2504,plain,
    ( sk3 != join(sk1,sk3)
    | join(sk1,sk3) = sk3 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(join(sk1,sk3)))]]) ).

cnf(refute_0_2505,plain,
    join(sk1,sk3) = sk3,
    inference(resolve,[$cnf( $equal(sk3,join(sk1,sk3)) )],[refute_0_2503,refute_0_2504]) ).

cnf(refute_0_2506,plain,
    ( join(sk1,sk3) != sk3
    | sk3 != sk3
    | join(sk1,sk3) = sk3 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,sk3),sk3) ),[0],$fot(sk3)]]) ).

cnf(refute_0_2507,plain,
    ( sk3 != sk3
    | join(sk1,sk3) = sk3 ),
    inference(resolve,[$cnf( $equal(join(sk1,sk3),sk3) )],[refute_0_2505,refute_0_2506]) ).

cnf(refute_0_2508,plain,
    sk3 != sk3,
    inference(resolve,[$cnf( $equal(join(sk1,sk3),sk3) )],[refute_0_2507,refute_0_2493]) ).

cnf(refute_0_2509,plain,
    sk3 = sk3,
    introduced(tautology,[refl,[$fot(sk3)]]) ).

cnf(refute_0_2510,plain,
    $false,
    inference(resolve,[$cnf( $equal(sk3,sk3) )],[refute_0_2509,refute_0_2508]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : REL048-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n018.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 08:37:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.30/1.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/1.48  
% 1.30/1.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.66/1.84  
%------------------------------------------------------------------------------