TSTP Solution File: REL004-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL004-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:43:02 EDT 2022
% Result : Unsatisfiable 16.24s 16.45s
% Output : CNFRefutation 16.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 440
% Syntax : Number of clauses : 1740 ( 859 unt; 0 nHn;1018 RR)
% Number of literals : 3016 (3015 equ;1278 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 2020 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
join(A,B) = join(B,A) ).
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(A,B) = complement(join(complement(A),complement(B))) ).
cnf(composition_identity_6,axiom,
composition(A,one) = A ).
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
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_17,negated_conjecture,
converse(complement(sk1)) != complement(converse(sk1)) ).
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( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( join(A,B) != join(B,A)
| join(B,A) = join(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,B))),bind(Y,$fot(join(B,A)))]]) ).
cnf(refute_0_4,plain,
join(B,A) = join(A,B),
inference(resolve,[$cnf( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_3]) ).
cnf(refute_0_5,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_6,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
introduced(tautology,[equality,[$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_7,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( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))) )],[maddux3_a_kind_of_de_Morgan_3,refute_0_7]) ).
cnf(refute_0_9,plain,
join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_10,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| complement(join(complement(A),complement(B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_11,plain,
complement(join(complement(A),complement(B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_10]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_13,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_14,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_16]) ).
cnf(refute_0_18,plain,
( join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),meet(A,B))
| join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(subst,[],[refute_0_17:[bind(X,$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_19,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),meet(A,B))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),meet(A,B)),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_9,refute_0_19]) ).
cnf(refute_0_21,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),B)))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
introduced(tautology,[equality,[$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_22,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
A = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
X_34 = join(meet(X_34,complement(B)),complement(join(complement(X_34),complement(B)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_25,plain,
meet(X_34,B) = complement(join(complement(X_34),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_26,plain,
( meet(X_34,B) != complement(join(complement(X_34),complement(B)))
| complement(join(complement(X_34),complement(B))) = meet(X_34,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_34,B))),bind(Y,$fot(complement(join(complement(X_34),complement(B)))))]]) ).
cnf(refute_0_27,plain,
complement(join(complement(X_34),complement(B))) = meet(X_34,B),
inference(resolve,[$cnf( $equal(meet(X_34,B),complement(join(complement(X_34),complement(B)))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( X_34 != join(meet(X_34,complement(B)),complement(join(complement(X_34),complement(B))))
| complement(join(complement(X_34),complement(B))) != meet(X_34,B)
| X_34 = join(meet(X_34,complement(B)),meet(X_34,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,complement(B)),complement(join(complement(X_34),complement(B))))) ),[1,1],$fot(meet(X_34,B))]]) ).
cnf(refute_0_29,plain,
( X_34 != join(meet(X_34,complement(B)),complement(join(complement(X_34),complement(B))))
| X_34 = join(meet(X_34,complement(B)),meet(X_34,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(B))),meet(X_34,B)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
X_34 = join(meet(X_34,complement(B)),meet(X_34,B)),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,complement(B)),complement(join(complement(X_34),complement(B))))) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
join(meet(X_34,complement(B)),meet(X_34,B)) = join(meet(X_34,B),meet(X_34,complement(B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(X_34,B))),bind(B,$fot(meet(X_34,complement(B))))]]) ).
cnf(refute_0_32,plain,
( X_34 != join(meet(X_34,complement(B)),meet(X_34,B))
| join(meet(X_34,complement(B)),meet(X_34,B)) != join(meet(X_34,B),meet(X_34,complement(B)))
| X_34 = join(meet(X_34,B),meet(X_34,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(meet(X_34,B),meet(X_34,complement(B)))) ),[0],$fot(join(meet(X_34,complement(B)),meet(X_34,B)))]]) ).
cnf(refute_0_33,plain,
( X_34 != join(meet(X_34,complement(B)),meet(X_34,B))
| X_34 = join(meet(X_34,B),meet(X_34,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_34,complement(B)),meet(X_34,B)),join(meet(X_34,B),meet(X_34,complement(B)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
X_34 = join(meet(X_34,B),meet(X_34,complement(B))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,complement(B)),meet(X_34,B))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
X_44 = join(meet(X_44,X_43),meet(X_44,complement(X_43))),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_43)),bind(X_34,$fot(X_44))]]) ).
cnf(refute_0_36,plain,
meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_37,plain,
join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_7))),bind(B,$fot(complement(X_6)))]]) ).
cnf(refute_0_38,plain,
( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
| join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_39,plain,
join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
| meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).
cnf(refute_0_41,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_44,plain,
( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
| meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_45,plain,
( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
meet(complement(X_43),X_44) = meet(X_44,complement(X_43)),
inference(subst,[],[refute_0_46:[bind(X_6,$fot(complement(X_43))),bind(X_7,$fot(X_44))]]) ).
cnf(refute_0_48,plain,
( meet(complement(X_43),X_44) != meet(X_44,complement(X_43))
| meet(X_44,complement(X_43)) = meet(complement(X_43),X_44) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_43),X_44))),bind(Y,$fot(meet(X_44,complement(X_43))))]]) ).
cnf(refute_0_49,plain,
meet(X_44,complement(X_43)) = meet(complement(X_43),X_44),
inference(resolve,[$cnf( $equal(meet(complement(X_43),X_44),meet(X_44,complement(X_43))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( X_44 != join(meet(X_44,X_43),meet(X_44,complement(X_43)))
| meet(X_44,complement(X_43)) != meet(complement(X_43),X_44)
| X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,X_43),meet(X_44,complement(X_43)))) ),[1,1],$fot(meet(complement(X_43),X_44))]]) ).
cnf(refute_0_51,plain,
( X_44 != join(meet(X_44,X_43),meet(X_44,complement(X_43)))
| X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
inference(resolve,[$cnf( $equal(meet(X_44,complement(X_43)),meet(complement(X_43),X_44)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,X_43),meet(X_44,complement(X_43)))) )],[refute_0_35,refute_0_51]) ).
cnf(refute_0_53,plain,
X_114 = join(meet(X_114,X_113),meet(complement(X_113),X_114)),
inference(subst,[],[refute_0_52:[bind(X_43,$fot(X_113)),bind(X_44,$fot(X_114))]]) ).
cnf(refute_0_54,plain,
meet(X_113,X_114) = meet(X_114,X_113),
inference(subst,[],[refute_0_46:[bind(X_6,$fot(X_113)),bind(X_7,$fot(X_114))]]) ).
cnf(refute_0_55,plain,
( meet(X_113,X_114) != meet(X_114,X_113)
| meet(X_114,X_113) = meet(X_113,X_114) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_113,X_114))),bind(Y,$fot(meet(X_114,X_113)))]]) ).
cnf(refute_0_56,plain,
meet(X_114,X_113) = meet(X_113,X_114),
inference(resolve,[$cnf( $equal(meet(X_113,X_114),meet(X_114,X_113)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( X_114 != join(meet(X_114,X_113),meet(complement(X_113),X_114))
| meet(X_114,X_113) != meet(X_113,X_114)
| X_114 = join(meet(X_113,X_114),meet(complement(X_113),X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(X_114,join(meet(X_114,X_113),meet(complement(X_113),X_114))) ),[1,0],$fot(meet(X_113,X_114))]]) ).
cnf(refute_0_58,plain,
( X_114 != join(meet(X_114,X_113),meet(complement(X_113),X_114))
| X_114 = join(meet(X_113,X_114),meet(complement(X_113),X_114)) ),
inference(resolve,[$cnf( $equal(meet(X_114,X_113),meet(X_113,X_114)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
X_114 = join(meet(X_113,X_114),meet(complement(X_113),X_114)),
inference(resolve,[$cnf( $equal(X_114,join(meet(X_114,X_113),meet(complement(X_113),X_114))) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
converse(complement(X_600)) = join(meet(converse(X_600),converse(complement(X_600))),meet(complement(converse(X_600)),converse(complement(X_600)))),
inference(subst,[],[refute_0_59:[bind(X_113,$fot(converse(X_600))),bind(X_114,$fot(converse(complement(X_600))))]]) ).
cnf(refute_0_61,plain,
meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),complement(join(complement(X_6),complement(X_7))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_62,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).
cnf(refute_0_63,plain,
complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_36,refute_0_62]) ).
cnf(refute_0_64,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))
| meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))) ),[1,0,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_65,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))
| meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))) )],[refute_0_61,refute_0_65]) ).
cnf(refute_0_67,plain,
X_34 = join(meet(X_34,complement(complement(X_34))),complement(join(complement(X_34),complement(complement(X_34))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(complement(complement(X_34))))]]) ).
cnf(refute_0_68,plain,
top = join(complement(X_34),complement(complement(X_34))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_34)))]]) ).
cnf(refute_0_69,plain,
( top != join(complement(X_34),complement(complement(X_34)))
| join(complement(X_34),complement(complement(X_34))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_34),complement(complement(X_34)))))]]) ).
cnf(refute_0_70,plain,
join(complement(X_34),complement(complement(X_34))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_34),complement(complement(X_34)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( X_34 != join(meet(X_34,complement(complement(X_34))),complement(join(complement(X_34),complement(complement(X_34)))))
| join(complement(X_34),complement(complement(X_34))) != top
| X_34 = join(meet(X_34,complement(complement(X_34))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,complement(complement(X_34))),complement(join(complement(X_34),complement(complement(X_34)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_72,plain,
( X_34 != join(meet(X_34,complement(complement(X_34))),complement(join(complement(X_34),complement(complement(X_34)))))
| X_34 = join(meet(X_34,complement(complement(X_34))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(complement(X_34))),top) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
X_34 = join(meet(X_34,complement(complement(X_34))),complement(top)),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,complement(complement(X_34))),complement(join(complement(X_34),complement(complement(X_34)))))) )],[refute_0_67,refute_0_72]) ).
cnf(refute_0_74,plain,
zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_75,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_76,plain,
( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_63,refute_0_75]) ).
cnf(refute_0_77,plain,
zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_79,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_78]) ).
cnf(refute_0_80,plain,
join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
inference(subst,[],[refute_0_79:[bind(A,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_81,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).
cnf(refute_0_82,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_83,plain,
( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
meet(join(complement(X_6),complement(X_7)),B) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_86,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
| meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_87,plain,
( meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
| meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_63,refute_0_86]) ).
cnf(refute_0_88,plain,
meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
inference(subst,[],[refute_0_88:[bind(B,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_90,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_91,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_84,refute_0_91]) ).
cnf(refute_0_93,plain,
( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
| zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_94,plain,
( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_77,refute_0_94]) ).
cnf(refute_0_96,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_97,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
join(complement(top),meet(X_34,complement(complement(X_34)))) = join(complement(top),meet(X_34,complement(complement(X_34)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_34,complement(complement(X_34)))))]]) ).
cnf(refute_0_99,plain,
( complement(top) != zero
| join(complement(top),meet(X_34,complement(complement(X_34)))) != join(complement(top),meet(X_34,complement(complement(X_34))))
| join(complement(top),meet(X_34,complement(complement(X_34)))) = join(zero,meet(X_34,complement(complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_34,complement(complement(X_34)))),join(complement(top),meet(X_34,complement(complement(X_34))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_100,plain,
( complement(top) != zero
| join(complement(top),meet(X_34,complement(complement(X_34)))) = join(zero,meet(X_34,complement(complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_34,complement(complement(X_34)))),join(complement(top),meet(X_34,complement(complement(X_34))))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
join(complement(top),meet(X_34,complement(complement(X_34)))) = join(zero,meet(X_34,complement(complement(X_34)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
join(meet(X_34,complement(complement(X_34))),complement(top)) = join(complement(top),meet(X_34,complement(complement(X_34)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_34,complement(complement(X_34)))))]]) ).
cnf(refute_0_103,plain,
( join(complement(top),meet(X_34,complement(complement(X_34)))) != join(zero,meet(X_34,complement(complement(X_34))))
| join(meet(X_34,complement(complement(X_34))),complement(top)) != join(complement(top),meet(X_34,complement(complement(X_34))))
| join(meet(X_34,complement(complement(X_34))),complement(top)) = join(zero,meet(X_34,complement(complement(X_34)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_34,complement(complement(X_34))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_34,complement(complement(X_34)))))),bind(Z,$fot(join(zero,meet(X_34,complement(complement(X_34))))))]]) ).
cnf(refute_0_104,plain,
( join(complement(top),meet(X_34,complement(complement(X_34)))) != join(zero,meet(X_34,complement(complement(X_34))))
| join(meet(X_34,complement(complement(X_34))),complement(top)) = join(zero,meet(X_34,complement(complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_34,complement(complement(X_34))),complement(top)),join(complement(top),meet(X_34,complement(complement(X_34))))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
join(meet(X_34,complement(complement(X_34))),complement(top)) = join(zero,meet(X_34,complement(complement(X_34)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_34,complement(complement(X_34)))),join(zero,meet(X_34,complement(complement(X_34))))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( X_34 != join(meet(X_34,complement(complement(X_34))),complement(top))
| join(meet(X_34,complement(complement(X_34))),complement(top)) != join(zero,meet(X_34,complement(complement(X_34))))
| X_34 = join(zero,meet(X_34,complement(complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(zero,meet(X_34,complement(complement(X_34))))) ),[0],$fot(join(meet(X_34,complement(complement(X_34))),complement(top)))]]) ).
cnf(refute_0_107,plain,
( X_34 != join(meet(X_34,complement(complement(X_34))),complement(top))
| X_34 = join(zero,meet(X_34,complement(complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_34,complement(complement(X_34))),complement(top)),join(zero,meet(X_34,complement(complement(X_34))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
X_34 = join(zero,meet(X_34,complement(complement(X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,complement(complement(X_34))),complement(top))) )],[refute_0_73,refute_0_107]) ).
cnf(refute_0_109,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B)))))),
inference(subst,[],[refute_0_108:[bind(X_34,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_110,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_111,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( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_110]) ).
cnf(refute_0_112,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
join(complement(complement(meet(A,B))),meet(A,B)) = join(meet(A,B),complement(complement(meet(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_114,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))]]) ).
cnf(refute_0_115,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_116,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( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(A,B))),meet(A,B)),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
meet(complement(meet(A,B)),join(complement(A),complement(B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(subst,[],[refute_0_66:[bind(A,$fot(complement(meet(A,B)))),bind(X_6,$fot(A)),bind(X_7,$fot(B))]]) ).
cnf(refute_0_119,plain,
( meet(X_6,X_7) != meet(X_7,X_6)
| meet(X_7,X_6) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).
cnf(refute_0_120,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_46,refute_0_119]) ).
cnf(refute_0_121,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = meet(complement(meet(A,B)),join(complement(A),complement(B))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(complement(meet(A,B)))),bind(X_7,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_122,plain,
( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != meet(complement(meet(A,B)),join(complement(A),complement(B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$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_123,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( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),meet(complement(meet(A,B)),join(complement(A),complement(B)))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(resolve,[$cnf( $equal(meet(complement(meet(A,B)),join(complement(A),complement(B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(subst,[],[refute_0_17:[bind(X,$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_126,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( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_117,refute_0_126]) ).
cnf(refute_0_128,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).
cnf(refute_0_129,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_130,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( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
introduced(tautology,[equality,[$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_133,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( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_112,refute_0_133]) ).
cnf(refute_0_135,plain,
X_34 = join(meet(X_34,X_35),complement(join(complement(X_34),X_35))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_136,plain,
meet(X_35,X_34) = meet(X_34,X_35),
inference(subst,[],[refute_0_46:[bind(X_6,$fot(X_35)),bind(X_7,$fot(X_34))]]) ).
cnf(refute_0_137,plain,
( meet(X_35,X_34) != meet(X_34,X_35)
| meet(X_34,X_35) = meet(X_35,X_34) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_35,X_34))),bind(Y,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_138,plain,
meet(X_34,X_35) = meet(X_35,X_34),
inference(resolve,[$cnf( $equal(meet(X_35,X_34),meet(X_34,X_35)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( X_34 != join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))
| meet(X_34,X_35) != meet(X_35,X_34)
| X_34 = join(meet(X_35,X_34),complement(join(complement(X_34),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))) ),[1,0],$fot(meet(X_35,X_34))]]) ).
cnf(refute_0_140,plain,
( X_34 != join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))
| X_34 = join(meet(X_35,X_34),complement(join(complement(X_34),X_35))) ),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),meet(X_35,X_34)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
X_34 = join(meet(X_35,X_34),complement(join(complement(X_34),X_35))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))) )],[refute_0_135,refute_0_140]) ).
cnf(refute_0_142,plain,
complement(X_60) = join(meet(X_60,complement(X_60)),complement(join(complement(complement(X_60)),X_60))),
inference(subst,[],[refute_0_141:[bind(X_34,$fot(complement(X_60))),bind(X_35,$fot(X_60))]]) ).
cnf(refute_0_143,plain,
zero = meet(X_60,complement(X_60)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_60))]]) ).
cnf(refute_0_144,plain,
( zero != meet(X_60,complement(X_60))
| meet(X_60,complement(X_60)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_60,complement(X_60))))]]) ).
cnf(refute_0_145,plain,
meet(X_60,complement(X_60)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_60,complement(X_60))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( complement(X_60) != join(meet(X_60,complement(X_60)),complement(join(complement(complement(X_60)),X_60)))
| meet(X_60,complement(X_60)) != zero
| complement(X_60) = join(zero,complement(join(complement(complement(X_60)),X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_60),join(meet(X_60,complement(X_60)),complement(join(complement(complement(X_60)),X_60)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_147,plain,
( complement(X_60) != join(meet(X_60,complement(X_60)),complement(join(complement(complement(X_60)),X_60)))
| complement(X_60) = join(zero,complement(join(complement(complement(X_60)),X_60))) ),
inference(resolve,[$cnf( $equal(meet(X_60,complement(X_60)),zero) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
complement(X_60) = join(zero,complement(join(complement(complement(X_60)),X_60))),
inference(resolve,[$cnf( $equal(complement(X_60),join(meet(X_60,complement(X_60)),complement(join(complement(complement(X_60)),X_60)))) )],[refute_0_142,refute_0_147]) ).
cnf(refute_0_149,plain,
join(complement(complement(X_60)),X_60) = join(X_60,complement(complement(X_60))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_60)),bind(B,$fot(complement(complement(X_60))))]]) ).
cnf(refute_0_150,plain,
complement(join(complement(complement(X_60)),X_60)) = complement(join(complement(complement(X_60)),X_60)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_60)),X_60)))]]) ).
cnf(refute_0_151,plain,
( complement(join(complement(complement(X_60)),X_60)) != complement(join(complement(complement(X_60)),X_60))
| join(complement(complement(X_60)),X_60) != join(X_60,complement(complement(X_60)))
| complement(join(complement(complement(X_60)),X_60)) = complement(join(X_60,complement(complement(X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_60)),X_60)),complement(join(complement(complement(X_60)),X_60))) ),[1,0],$fot(join(X_60,complement(complement(X_60))))]]) ).
cnf(refute_0_152,plain,
( join(complement(complement(X_60)),X_60) != join(X_60,complement(complement(X_60)))
| complement(join(complement(complement(X_60)),X_60)) = complement(join(X_60,complement(complement(X_60)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_60)),X_60)),complement(join(complement(complement(X_60)),X_60))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
complement(join(complement(complement(X_60)),X_60)) = complement(join(X_60,complement(complement(X_60)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_60)),X_60),join(X_60,complement(complement(X_60)))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
join(zero,complement(join(complement(complement(X_60)),X_60))) = join(zero,complement(join(complement(complement(X_60)),X_60))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_60)),X_60))))]]) ).
cnf(refute_0_155,plain,
( complement(join(complement(complement(X_60)),X_60)) != complement(join(X_60,complement(complement(X_60))))
| join(zero,complement(join(complement(complement(X_60)),X_60))) != join(zero,complement(join(complement(complement(X_60)),X_60)))
| join(zero,complement(join(complement(complement(X_60)),X_60))) = join(zero,complement(join(X_60,complement(complement(X_60))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_60)),X_60))),join(zero,complement(join(complement(complement(X_60)),X_60)))) ),[1,1],$fot(complement(join(X_60,complement(complement(X_60)))))]]) ).
cnf(refute_0_156,plain,
( complement(join(complement(complement(X_60)),X_60)) != complement(join(X_60,complement(complement(X_60))))
| join(zero,complement(join(complement(complement(X_60)),X_60))) = join(zero,complement(join(X_60,complement(complement(X_60))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_60)),X_60))),join(zero,complement(join(complement(complement(X_60)),X_60)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
join(zero,complement(join(complement(complement(X_60)),X_60))) = join(zero,complement(join(X_60,complement(complement(X_60))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_60)),X_60)),complement(join(X_60,complement(complement(X_60))))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( complement(X_60) != join(zero,complement(join(complement(complement(X_60)),X_60)))
| join(zero,complement(join(complement(complement(X_60)),X_60))) != join(zero,complement(join(X_60,complement(complement(X_60)))))
| complement(X_60) = join(zero,complement(join(X_60,complement(complement(X_60))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_60),join(zero,complement(join(X_60,complement(complement(X_60)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_60)),X_60))))]]) ).
cnf(refute_0_159,plain,
( complement(X_60) != join(zero,complement(join(complement(complement(X_60)),X_60)))
| complement(X_60) = join(zero,complement(join(X_60,complement(complement(X_60))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_60)),X_60))),join(zero,complement(join(X_60,complement(complement(X_60)))))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
complement(X_60) = join(zero,complement(join(X_60,complement(complement(X_60))))),
inference(resolve,[$cnf( $equal(complement(X_60),join(zero,complement(join(complement(complement(X_60)),X_60)))) )],[refute_0_148,refute_0_159]) ).
cnf(refute_0_161,plain,
( complement(X_60) != join(zero,complement(join(X_60,complement(complement(X_60)))))
| join(zero,complement(join(X_60,complement(complement(X_60))))) = complement(X_60) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_60))),bind(Y,$fot(join(zero,complement(join(X_60,complement(complement(X_60)))))))]]) ).
cnf(refute_0_162,plain,
join(zero,complement(join(X_60,complement(complement(X_60))))) = complement(X_60),
inference(resolve,[$cnf( $equal(complement(X_60),join(zero,complement(join(X_60,complement(complement(X_60)))))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(meet(A,B)),
inference(subst,[],[refute_0_162:[bind(X_60,$fot(meet(A,B)))]]) ).
cnf(refute_0_164,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(meet(A,B))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),complement(meet(A,B))) ),[0],$fot(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_165,plain,
( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),complement(meet(A,B))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_134,refute_0_165]) ).
cnf(refute_0_167,plain,
join(complement(X_6),complement(X_7)) = complement(meet(X_6,X_7)),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_168,plain,
meet(A,join(complement(X_6),complement(X_7))) = meet(A,join(complement(X_6),complement(X_7))),
introduced(tautology,[refl,[$fot(meet(A,join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_169,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(A,join(complement(X_6),complement(X_7))) != meet(A,join(complement(X_6),complement(X_7)))
| meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,join(complement(X_6),complement(X_7)))) ),[1,1],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_170,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,join(complement(X_6),complement(X_7)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),meet(X_6,X_7)))
| meet(A,join(complement(X_6),complement(X_7))) != meet(A,complement(meet(X_6,X_7)))
| meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),meet(X_6,X_7)))) ),[0],$fot(meet(A,complement(meet(X_6,X_7))))]]) ).
cnf(refute_0_173,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),meet(X_6,X_7)))
| meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,complement(meet(X_6,X_7)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),meet(X_6,X_7)))) )],[refute_0_66,refute_0_173]) ).
cnf(refute_0_175,plain,
meet(X_288,complement(meet(top,X_290))) = complement(join(complement(X_288),meet(top,X_290))),
inference(subst,[],[refute_0_174:[bind(A,$fot(X_288)),bind(X_6,$fot(top)),bind(X_7,$fot(X_290))]]) ).
cnf(refute_0_176,plain,
meet(top,X_35) = join(meet(X_35,meet(top,X_35)),complement(join(complement(meet(top,X_35)),X_35))),
inference(subst,[],[refute_0_141:[bind(X_34,$fot(meet(top,X_35)))]]) ).
cnf(refute_0_177,plain,
join(zero,join(zero,X_75)) = join(join(zero,zero),X_75),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(zero)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_178,plain,
X_34 = join(meet(X_34,top),complement(join(complement(X_34),top))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(top))]]) ).
cnf(refute_0_179,plain,
meet(A,top) = complement(join(complement(A),complement(top))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(top))]]) ).
cnf(refute_0_180,plain,
( complement(top) != zero
| meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_181,plain,
( meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_180]) ).
cnf(refute_0_182,plain,
meet(A,top) = complement(join(complement(A),zero)),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) )],[refute_0_179,refute_0_181]) ).
cnf(refute_0_183,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_184,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_185,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| complement(join(zero,complement(B))) = meet(top,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).
cnf(refute_0_188,plain,
complement(join(zero,complement(B))) = meet(top,B),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
complement(join(zero,complement(A))) = meet(top,A),
inference(subst,[],[refute_0_188:[bind(B,$fot(A))]]) ).
cnf(refute_0_190,plain,
join(complement(A),zero) = join(zero,complement(A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(A)))]]) ).
cnf(refute_0_191,plain,
complement(join(complement(A),zero)) = complement(join(complement(A),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(A),zero)))]]) ).
cnf(refute_0_192,plain,
( complement(join(complement(A),zero)) != complement(join(complement(A),zero))
| join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) ),[1,0],$fot(join(zero,complement(A)))]]) ).
cnf(refute_0_193,plain,
( join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
complement(join(complement(A),zero)) = complement(join(zero,complement(A))),
inference(resolve,[$cnf( $equal(join(complement(A),zero),join(zero,complement(A))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( complement(join(complement(A),zero)) != complement(join(zero,complement(A)))
| complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(A),zero)))),bind(Y,$fot(complement(join(zero,complement(A))))),bind(Z,$fot(meet(top,A)))]]) ).
cnf(refute_0_196,plain,
( complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(zero,complement(A)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
complement(join(complement(A),zero)) = meet(top,A),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(A))),meet(top,A)) )],[refute_0_189,refute_0_196]) ).
cnf(refute_0_198,plain,
( complement(join(complement(A),zero)) != meet(top,A)
| meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) ),[1],$fot(meet(top,A))]]) ).
cnf(refute_0_199,plain,
( meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),meet(top,A)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
meet(A,top) = meet(top,A),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) )],[refute_0_182,refute_0_199]) ).
cnf(refute_0_201,plain,
meet(X_34,top) = meet(top,X_34),
inference(subst,[],[refute_0_200:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_202,plain,
( X_34 != join(meet(X_34,top),complement(join(complement(X_34),top)))
| meet(X_34,top) != meet(top,X_34)
| X_34 = join(meet(top,X_34),complement(join(complement(X_34),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,top),complement(join(complement(X_34),top)))) ),[1,0],$fot(meet(top,X_34))]]) ).
cnf(refute_0_203,plain,
( X_34 != join(meet(X_34,top),complement(join(complement(X_34),top)))
| X_34 = join(meet(top,X_34),complement(join(complement(X_34),top))) ),
inference(resolve,[$cnf( $equal(meet(X_34,top),meet(top,X_34)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
X_34 = join(meet(top,X_34),complement(join(complement(X_34),top))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,top),complement(join(complement(X_34),top)))) )],[refute_0_178,refute_0_203]) ).
cnf(refute_0_205,plain,
join(complement(X_34),top) = join(top,complement(X_34)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(X_34)))]]) ).
cnf(refute_0_206,plain,
complement(join(complement(X_34),top)) = complement(join(complement(X_34),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_34),top)))]]) ).
cnf(refute_0_207,plain,
( complement(join(complement(X_34),top)) != complement(join(complement(X_34),top))
| join(complement(X_34),top) != join(top,complement(X_34))
| complement(join(complement(X_34),top)) = complement(join(top,complement(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_34),top)),complement(join(complement(X_34),top))) ),[1,0],$fot(join(top,complement(X_34)))]]) ).
cnf(refute_0_208,plain,
( join(complement(X_34),top) != join(top,complement(X_34))
| complement(join(complement(X_34),top)) = complement(join(top,complement(X_34))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),top)),complement(join(complement(X_34),top))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
complement(join(complement(X_34),top)) = complement(join(top,complement(X_34))),
inference(resolve,[$cnf( $equal(join(complement(X_34),top),join(top,complement(X_34))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
join(meet(top,X_34),complement(join(complement(X_34),top))) = join(meet(top,X_34),complement(join(complement(X_34),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_34),complement(join(complement(X_34),top))))]]) ).
cnf(refute_0_211,plain,
( complement(join(complement(X_34),top)) != complement(join(top,complement(X_34)))
| join(meet(top,X_34),complement(join(complement(X_34),top))) != join(meet(top,X_34),complement(join(complement(X_34),top)))
| join(meet(top,X_34),complement(join(complement(X_34),top))) = join(meet(top,X_34),complement(join(top,complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_34),complement(join(complement(X_34),top))),join(meet(top,X_34),complement(join(complement(X_34),top)))) ),[1,1],$fot(complement(join(top,complement(X_34))))]]) ).
cnf(refute_0_212,plain,
( complement(join(complement(X_34),top)) != complement(join(top,complement(X_34)))
| join(meet(top,X_34),complement(join(complement(X_34),top))) = join(meet(top,X_34),complement(join(top,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_34),complement(join(complement(X_34),top))),join(meet(top,X_34),complement(join(complement(X_34),top)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
join(meet(top,X_34),complement(join(complement(X_34),top))) = join(meet(top,X_34),complement(join(top,complement(X_34)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),top)),complement(join(top,complement(X_34)))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( X_34 != join(meet(top,X_34),complement(join(complement(X_34),top)))
| join(meet(top,X_34),complement(join(complement(X_34),top))) != join(meet(top,X_34),complement(join(top,complement(X_34))))
| X_34 = join(meet(top,X_34),complement(join(top,complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(meet(top,X_34),complement(join(top,complement(X_34))))) ),[0],$fot(join(meet(top,X_34),complement(join(complement(X_34),top))))]]) ).
cnf(refute_0_215,plain,
( X_34 != join(meet(top,X_34),complement(join(complement(X_34),top)))
| X_34 = join(meet(top,X_34),complement(join(top,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_34),complement(join(complement(X_34),top))),join(meet(top,X_34),complement(join(top,complement(X_34))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
X_34 = join(meet(top,X_34),complement(join(top,complement(X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(top,X_34),complement(join(complement(X_34),top)))) )],[refute_0_204,refute_0_215]) ).
cnf(refute_0_217,plain,
complement(top) = join(meet(top,complement(top)),complement(join(top,complement(complement(top))))),
inference(subst,[],[refute_0_216:[bind(X_34,$fot(complement(top)))]]) ).
cnf(refute_0_218,plain,
zero = meet(top,complement(top)),
inference(subst,[],[def_zero_13:[bind(A,$fot(top))]]) ).
cnf(refute_0_219,plain,
( zero != meet(top,complement(top))
| meet(top,complement(top)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).
cnf(refute_0_220,plain,
meet(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
| meet(top,complement(top)) != zero
| complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_222,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( $equal(meet(top,complement(top)),zero) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
complement(top) = join(zero,complement(join(top,complement(complement(top))))),
inference(resolve,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) )],[refute_0_217,refute_0_222]) ).
cnf(refute_0_224,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| complement(top) != zero
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_225,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_224]) ).
cnf(refute_0_226,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_227,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_228,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_228]) ).
cnf(refute_0_230,plain,
join(top,complement(complement(top))) = join(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(join(top,complement(complement(top))))]]) ).
cnf(refute_0_231,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_232,plain,
( complement(complement(top)) != complement(zero)
| join(top,complement(complement(top))) = join(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
join(top,complement(complement(top))) = join(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(complement(top)))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(complement(top)))))]]) ).
cnf(refute_0_235,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_236,plain,
( join(top,complement(complement(top))) != join(top,complement(zero))
| complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(zero))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(complement(top))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(complement(top))))))]]) ).
cnf(refute_0_239,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_240,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( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(zero)))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(zero))))
| zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) ),[1],$fot(join(zero,complement(join(top,complement(zero)))))]]) ).
cnf(refute_0_243,plain,
( zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(zero))))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_225,refute_0_243]) ).
cnf(refute_0_245,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_223,refute_0_244]) ).
cnf(refute_0_246,plain,
X_44 = join(meet(X_44,top),meet(X_44,complement(top))),
inference(subst,[],[refute_0_34:[bind(B,$fot(top)),bind(X_34,$fot(X_44))]]) ).
cnf(refute_0_247,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| complement(top) != zero
| X_44 = join(meet(X_44,top),meet(X_44,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_248,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| X_44 = join(meet(X_44,top),meet(X_44,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_247]) ).
cnf(refute_0_249,plain,
X_44 = join(meet(X_44,top),meet(X_44,zero)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
X_45 = join(meet(X_45,top),meet(X_45,zero)),
inference(subst,[],[refute_0_249:[bind(X_44,$fot(X_45))]]) ).
cnf(refute_0_251,plain,
meet(zero,X_45) = meet(X_45,zero),
inference(subst,[],[refute_0_46:[bind(X_6,$fot(zero)),bind(X_7,$fot(X_45))]]) ).
cnf(refute_0_252,plain,
( meet(zero,X_45) != meet(X_45,zero)
| meet(X_45,zero) = meet(zero,X_45) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(zero,X_45))),bind(Y,$fot(meet(X_45,zero)))]]) ).
cnf(refute_0_253,plain,
meet(X_45,zero) = meet(zero,X_45),
inference(resolve,[$cnf( $equal(meet(zero,X_45),meet(X_45,zero)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( X_45 != join(meet(X_45,top),meet(X_45,zero))
| meet(X_45,zero) != meet(zero,X_45)
| X_45 = join(meet(X_45,top),meet(zero,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(X_45,join(meet(X_45,top),meet(X_45,zero))) ),[1,1],$fot(meet(zero,X_45))]]) ).
cnf(refute_0_255,plain,
( X_45 != join(meet(X_45,top),meet(X_45,zero))
| X_45 = join(meet(X_45,top),meet(zero,X_45)) ),
inference(resolve,[$cnf( $equal(meet(X_45,zero),meet(zero,X_45)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
X_45 = join(meet(X_45,top),meet(zero,X_45)),
inference(resolve,[$cnf( $equal(X_45,join(meet(X_45,top),meet(X_45,zero))) )],[refute_0_250,refute_0_255]) ).
cnf(refute_0_257,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_256:[bind(X_45,$fot(complement(zero)))]]) ).
cnf(refute_0_258,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[def_zero_13:[bind(A,$fot(zero))]]) ).
cnf(refute_0_259,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_260,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_262,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_257,refute_0_262]) ).
cnf(refute_0_264,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_108:[bind(X_34,$fot(top))]]) ).
cnf(refute_0_265,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_266,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_265]) ).
cnf(refute_0_267,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_269,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_200:[bind(A,$fot(complement(zero)))]]) ).
cnf(refute_0_271,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_272,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_273,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_276,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_269,refute_0_276]) ).
cnf(refute_0_278,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_279,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_280,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_283,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_263,refute_0_283]) ).
cnf(refute_0_285,plain,
join(top,complement(zero)) = join(top,complement(zero)),
introduced(tautology,[refl,[$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_286,plain,
( complement(zero) != top
| join(top,complement(zero)) != join(top,complement(zero))
| join(top,complement(zero)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_287,plain,
( complement(zero) != top
| join(top,complement(zero)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
join(top,complement(zero)) = join(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
complement(join(top,complement(zero))) = complement(join(top,complement(zero))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(zero))))]]) ).
cnf(refute_0_290,plain,
( complement(join(top,complement(zero))) != complement(join(top,complement(zero)))
| join(top,complement(zero)) != join(top,top)
| complement(join(top,complement(zero))) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_291,plain,
( join(top,complement(zero)) != join(top,top)
| complement(join(top,complement(zero))) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
complement(join(top,complement(zero))) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,complement(zero)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(zero)))))]]) ).
cnf(refute_0_294,plain,
( complement(join(top,complement(zero))) != complement(join(top,top))
| join(zero,complement(join(top,complement(zero)))) != join(zero,complement(join(top,complement(zero))))
| join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_295,plain,
( complement(join(top,complement(zero))) != complement(join(top,top))
| join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,top))) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
( join(zero,complement(join(top,complement(zero)))) != join(zero,complement(join(top,top)))
| zero != join(zero,complement(join(top,complement(zero))))
| zero = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) ),[1],$fot(join(zero,complement(join(top,top))))]]) ).
cnf(refute_0_298,plain,
( zero != join(zero,complement(join(top,complement(zero))))
| zero = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,top)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
zero = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_0_245,refute_0_298]) ).
cnf(refute_0_300,plain,
join(X_35,complement(X_34)) = join(complement(X_34),X_35),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_35)),bind(B,$fot(complement(X_34)))]]) ).
cnf(refute_0_301,plain,
( join(X_35,complement(X_34)) != join(complement(X_34),X_35)
| join(complement(X_34),X_35) = join(X_35,complement(X_34)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,complement(X_34)))),bind(Y,$fot(join(complement(X_34),X_35)))]]) ).
cnf(refute_0_302,plain,
join(complement(X_34),X_35) = join(X_35,complement(X_34)),
inference(resolve,[$cnf( $equal(join(X_35,complement(X_34)),join(complement(X_34),X_35)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( X_34 != join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))
| join(complement(X_34),X_35) != join(X_35,complement(X_34))
| X_34 = join(meet(X_34,X_35),complement(join(X_35,complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))) ),[1,1,0],$fot(join(X_35,complement(X_34)))]]) ).
cnf(refute_0_304,plain,
( X_34 != join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))
| X_34 = join(meet(X_34,X_35),complement(join(X_35,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),X_35),join(X_35,complement(X_34))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
X_34 = join(meet(X_34,X_35),complement(join(X_35,complement(X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,X_35),complement(join(complement(X_34),X_35)))) )],[refute_0_135,refute_0_304]) ).
cnf(refute_0_306,plain,
join(top,top) = join(meet(join(top,top),top),complement(join(top,complement(join(top,top))))),
inference(subst,[],[refute_0_305:[bind(X_34,$fot(join(top,top))),bind(X_35,$fot(top))]]) ).
cnf(refute_0_307,plain,
top = join(meet(top,join(top,top)),complement(join(join(top,top),complement(top)))),
inference(subst,[],[refute_0_305:[bind(X_34,$fot(top)),bind(X_35,$fot(join(top,top)))]]) ).
cnf(refute_0_308,plain,
meet(top,join(top,complement(zero))) = complement(join(zero,complement(join(top,complement(zero))))),
inference(subst,[],[refute_0_186:[bind(B,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_309,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_310,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_0_245,refute_0_309]) ).
cnf(refute_0_311,plain,
( join(zero,complement(join(top,complement(zero)))) != zero
| meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
| meet(top,join(top,complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_312,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( $equal(join(zero,complement(join(top,complement(zero)))),zero) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
meet(top,join(top,complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) )],[refute_0_308,refute_0_312]) ).
cnf(refute_0_314,plain,
meet(top,join(top,complement(zero))) = meet(top,join(top,complement(zero))),
introduced(tautology,[refl,[$fot(meet(top,join(top,complement(zero))))]]) ).
cnf(refute_0_315,plain,
( join(top,complement(zero)) != join(top,top)
| meet(top,join(top,complement(zero))) != meet(top,join(top,complement(zero)))
| meet(top,join(top,complement(zero))) = meet(top,join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),meet(top,join(top,complement(zero)))) ),[1,1],$fot(join(top,top))]]) ).
cnf(refute_0_316,plain,
( join(top,complement(zero)) != join(top,top)
| meet(top,join(top,complement(zero))) = meet(top,join(top,top)) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),meet(top,join(top,complement(zero)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
meet(top,join(top,complement(zero))) = meet(top,join(top,top)),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_288,refute_0_316]) ).
cnf(refute_0_318,plain,
( meet(top,join(top,complement(zero))) != complement(zero)
| meet(top,join(top,complement(zero))) != meet(top,join(top,top))
| meet(top,join(top,top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) ),[0],$fot(meet(top,join(top,top)))]]) ).
cnf(refute_0_319,plain,
( meet(top,join(top,complement(zero))) != complement(zero)
| meet(top,join(top,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),meet(top,join(top,top))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
( complement(zero) != top
| meet(top,join(top,top)) != complement(zero)
| meet(top,join(top,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_321,plain,
( meet(top,join(top,top)) != complement(zero)
| meet(top,join(top,top)) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_320]) ).
cnf(refute_0_322,plain,
( meet(top,join(top,complement(zero))) != complement(zero)
| meet(top,join(top,top)) = top ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(zero)) )],[refute_0_319,refute_0_321]) ).
cnf(refute_0_323,plain,
meet(top,join(top,top)) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_313,refute_0_322]) ).
cnf(refute_0_324,plain,
( meet(top,join(top,top)) != top
| top != join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(join(top,top),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_325,plain,
( top != join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(join(top,top),complement(top)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
top = join(top,complement(join(join(top,top),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))) )],[refute_0_307,refute_0_325]) ).
cnf(refute_0_327,plain,
join(top,complement(top)) = top,
inference(subst,[],[refute_0_79:[bind(A,$fot(top))]]) ).
cnf(refute_0_328,plain,
join(top,join(top,complement(top))) = join(top,join(top,complement(top))),
introduced(tautology,[refl,[$fot(join(top,join(top,complement(top))))]]) ).
cnf(refute_0_329,plain,
( join(top,complement(top)) != top
| join(top,join(top,complement(top))) != join(top,join(top,complement(top)))
| join(top,join(top,complement(top))) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,complement(top))),join(top,join(top,complement(top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_330,plain,
( join(top,complement(top)) != top
| join(top,join(top,complement(top))) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(top,complement(top))),join(top,join(top,complement(top)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
join(top,join(top,complement(top))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,complement(top)),top) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_333,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_332]) ).
cnf(refute_0_334,plain,
join(join(top,top),complement(top)) = join(top,join(top,complement(top))),
inference(subst,[],[refute_0_333:[bind(A,$fot(top)),bind(B,$fot(top)),bind(C,$fot(complement(top)))]]) ).
cnf(refute_0_335,plain,
( join(join(top,top),complement(top)) != join(top,join(top,complement(top)))
| join(top,join(top,complement(top))) != join(top,top)
| join(join(top,top),complement(top)) = join(top,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(top,top),complement(top)))),bind(Y,$fot(join(top,join(top,complement(top))))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_336,plain,
( join(top,join(top,complement(top))) != join(top,top)
| join(join(top,top),complement(top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(join(top,top),complement(top)),join(top,join(top,complement(top)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(join(top,top),complement(top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,join(top,complement(top))),join(top,top)) )],[refute_0_331,refute_0_336]) ).
cnf(refute_0_338,plain,
complement(join(join(top,top),complement(top))) = complement(join(join(top,top),complement(top))),
introduced(tautology,[refl,[$fot(complement(join(join(top,top),complement(top))))]]) ).
cnf(refute_0_339,plain,
( complement(join(join(top,top),complement(top))) != complement(join(join(top,top),complement(top)))
| join(join(top,top),complement(top)) != join(top,top)
| complement(join(join(top,top),complement(top))) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(join(top,top),complement(top)))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_340,plain,
( join(join(top,top),complement(top)) != join(top,top)
| complement(join(join(top,top),complement(top))) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(join(top,top),complement(top)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
complement(join(join(top,top),complement(top))) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(join(top,top),complement(top)),join(top,top)) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(join(top,top),complement(top)))),
introduced(tautology,[refl,[$fot(join(top,complement(join(join(top,top),complement(top)))))]]) ).
cnf(refute_0_343,plain,
( complement(join(join(top,top),complement(top))) != complement(join(top,top))
| join(top,complement(join(join(top,top),complement(top)))) != join(top,complement(join(join(top,top),complement(top))))
| join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(join(top,top),complement(top))))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_344,plain,
( complement(join(join(top,top),complement(top))) != complement(join(top,top))
| join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(join(top,top),complement(top))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(top,top))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( join(top,complement(join(join(top,top),complement(top)))) != join(top,complement(join(top,top)))
| top != join(top,complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(join(join(top,top),complement(top))))) ),[1],$fot(join(top,complement(join(top,top))))]]) ).
cnf(refute_0_347,plain,
( top != join(top,complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(top,top)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
top = join(top,complement(join(top,top))),
inference(resolve,[$cnf( $equal(top,join(top,complement(join(join(top,top),complement(top))))) )],[refute_0_326,refute_0_347]) ).
cnf(refute_0_349,plain,
( top != join(top,complement(join(top,top)))
| join(top,complement(join(top,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(top,top)))))]]) ).
cnf(refute_0_350,plain,
join(top,complement(join(top,top))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(join(top,top)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
( join(top,complement(join(top,top))) != top
| join(top,top) != join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))
| join(top,top) = join(meet(join(top,top),top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_352,plain,
( join(top,top) != join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))
| join(top,top) = join(meet(join(top,top),top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(top,top))),top) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(top,top) = join(meet(join(top,top),top),complement(top)),
inference(resolve,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))) )],[refute_0_306,refute_0_352]) ).
cnf(refute_0_354,plain,
top = join(top,complement(top)),
inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).
cnf(refute_0_355,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_356,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_355]) ).
cnf(refute_0_357,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_354,refute_0_356]) ).
cnf(refute_0_358,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_359,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(zero))]]) ).
cnf(refute_0_361,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_362,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
meet(join(top,top),top) = meet(top,join(top,top)),
inference(subst,[],[refute_0_200:[bind(A,$fot(join(top,top)))]]) ).
cnf(refute_0_365,plain,
( meet(join(top,top),top) != meet(top,join(top,top))
| meet(top,join(top,top)) != top
| meet(join(top,top),top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(top,top),top))),bind(Y,$fot(meet(top,join(top,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_366,plain,
( meet(top,join(top,top)) != top
| meet(join(top,top),top) = top ),
inference(resolve,[$cnf( $equal(meet(join(top,top),top),meet(top,join(top,top))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
meet(join(top,top),top) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_323,refute_0_366]) ).
cnf(refute_0_368,plain,
join(zero,meet(join(top,top),top)) = join(zero,meet(join(top,top),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,top),top)))]]) ).
cnf(refute_0_369,plain,
( join(zero,meet(join(top,top),top)) != join(zero,meet(join(top,top),top))
| meet(join(top,top),top) != top
| join(zero,meet(join(top,top),top)) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_370,plain,
( meet(join(top,top),top) != top
| join(zero,meet(join(top,top),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
join(zero,meet(join(top,top),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(meet(join(top,top),top),top) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
join(complement(top),meet(join(top,top),top)) = join(complement(top),meet(join(top,top),top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(top,top),top)))]]) ).
cnf(refute_0_373,plain,
( complement(top) != zero
| join(complement(top),meet(join(top,top),top)) != join(complement(top),meet(join(top,top),top))
| join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(complement(top),meet(join(top,top),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_374,plain,
( complement(top) != zero
| join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(complement(top),meet(join(top,top),top))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_374]) ).
cnf(refute_0_376,plain,
( join(complement(top),meet(join(top,top),top)) != join(zero,meet(join(top,top),top))
| join(zero,meet(join(top,top),top)) != join(zero,top)
| join(complement(top),meet(join(top,top),top)) = join(zero,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(top,top),top)))),bind(Y,$fot(join(zero,meet(join(top,top),top)))),bind(Z,$fot(join(zero,top)))]]) ).
cnf(refute_0_377,plain,
( join(zero,meet(join(top,top),top)) != join(zero,top)
| join(complement(top),meet(join(top,top),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(zero,meet(join(top,top),top))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(complement(top),meet(join(top,top),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,top)) )],[refute_0_371,refute_0_377]) ).
cnf(refute_0_379,plain,
( join(complement(top),meet(join(top,top),top)) != join(zero,top)
| join(zero,top) != top
| join(complement(top),meet(join(top,top),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(top,top),top)))),bind(Y,$fot(join(zero,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_380,plain,
( join(zero,top) != top
| join(complement(top),meet(join(top,top),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(zero,top)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
join(complement(top),meet(join(top,top),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_363,refute_0_380]) ).
cnf(refute_0_382,plain,
join(meet(join(top,top),top),complement(top)) = join(complement(top),meet(join(top,top),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(top,top),top)))]]) ).
cnf(refute_0_383,plain,
( join(complement(top),meet(join(top,top),top)) != top
| join(meet(join(top,top),top),complement(top)) != join(complement(top),meet(join(top,top),top))
| join(meet(join(top,top),top),complement(top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(top,top),top),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(top,top),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_384,plain,
( join(complement(top),meet(join(top,top),top)) != top
| join(meet(join(top,top),top),complement(top)) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(top,top),top),complement(top)),join(complement(top),meet(join(top,top),top))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
join(meet(join(top,top),top),complement(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),top) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( join(meet(join(top,top),top),complement(top)) != top
| join(top,top) != join(meet(join(top,top),top),complement(top))
| join(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_387,plain,
( join(top,top) != join(meet(join(top,top),top),complement(top))
| join(top,top) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(top,top),top),complement(top)),top) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(top))) )],[refute_0_353,refute_0_387]) ).
cnf(refute_0_389,plain,
complement(join(top,top)) = complement(join(top,top)),
introduced(tautology,[refl,[$fot(complement(join(top,top)))]]) ).
cnf(refute_0_390,plain,
( complement(join(top,top)) != complement(join(top,top))
| join(top,top) != top
| complement(join(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_391,plain,
( join(top,top) != top
| complement(join(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
complement(join(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
( complement(join(top,top)) != complement(top)
| complement(top) != zero
| complement(join(top,top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_394,plain,
( complement(top) != zero
| complement(join(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(top)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
complement(join(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_394]) ).
cnf(refute_0_396,plain,
join(zero,complement(join(top,top))) = join(zero,complement(join(top,top))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,top))))]]) ).
cnf(refute_0_397,plain,
( complement(join(top,top)) != zero
| join(zero,complement(join(top,top))) != join(zero,complement(join(top,top)))
| join(zero,complement(join(top,top))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,top))),join(zero,complement(join(top,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_398,plain,
( complement(join(top,top)) != zero
| join(zero,complement(join(top,top))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,top))),join(zero,complement(join(top,top)))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
join(zero,complement(join(top,top))) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(join(top,top)),zero) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( join(zero,complement(join(top,top))) != join(zero,zero)
| zero != join(zero,complement(join(top,top)))
| zero = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,top)))) ),[1],$fot(join(zero,zero))]]) ).
cnf(refute_0_401,plain,
( zero != join(zero,complement(join(top,top)))
| zero = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,top))),join(zero,zero)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
zero = join(zero,zero),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,top)))) )],[refute_0_299,refute_0_401]) ).
cnf(refute_0_403,plain,
( zero != join(zero,zero)
| join(zero,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,zero)))]]) ).
cnf(refute_0_404,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,zero)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( join(zero,join(zero,X_75)) != join(join(zero,zero),X_75)
| join(zero,zero) != zero
| join(zero,join(zero,X_75)) = join(zero,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_75)),join(join(zero,zero),X_75)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_406,plain,
( join(zero,join(zero,X_75)) != join(join(zero,zero),X_75)
| join(zero,join(zero,X_75)) = join(zero,X_75) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
join(zero,join(zero,X_75)) = join(zero,X_75),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_75)),join(join(zero,zero),X_75)) )],[refute_0_177,refute_0_406]) ).
cnf(refute_0_408,plain,
join(zero,join(zero,meet(X_34,join(zero,meet(top,X_34))))) = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(subst,[],[refute_0_407:[bind(X_75,$fot(meet(X_34,join(zero,meet(top,X_34)))))]]) ).
cnf(refute_0_409,plain,
X_34 = join(meet(join(zero,meet(top,X_34)),X_34),complement(join(complement(X_34),join(zero,meet(top,X_34))))),
inference(subst,[],[refute_0_141:[bind(X_35,$fot(join(zero,meet(top,X_34))))]]) ).
cnf(refute_0_410,plain,
join(join(complement(X_28),meet(top,X_28)),zero) = join(zero,join(complement(X_28),meet(top,X_28))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(complement(X_28),meet(top,X_28)))),bind(B,$fot(zero))]]) ).
cnf(refute_0_411,plain,
top = join(join(zero,complement(X_9)),complement(join(zero,complement(X_9)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(zero,complement(X_9))))]]) ).
cnf(refute_0_412,plain,
meet(top,X_9) = complement(join(zero,complement(X_9))),
inference(subst,[],[refute_0_186:[bind(B,$fot(X_9))]]) ).
cnf(refute_0_413,plain,
( meet(top,X_9) != complement(join(zero,complement(X_9)))
| complement(join(zero,complement(X_9))) = meet(top,X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_9))),bind(Y,$fot(complement(join(zero,complement(X_9)))))]]) ).
cnf(refute_0_414,plain,
complement(join(zero,complement(X_9))) = meet(top,X_9),
inference(resolve,[$cnf( $equal(meet(top,X_9),complement(join(zero,complement(X_9)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( complement(join(zero,complement(X_9))) != meet(top,X_9)
| top != join(join(zero,complement(X_9)),complement(join(zero,complement(X_9))))
| top = join(join(zero,complement(X_9)),meet(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_9)),complement(join(zero,complement(X_9))))) ),[1,1],$fot(meet(top,X_9))]]) ).
cnf(refute_0_416,plain,
( top != join(join(zero,complement(X_9)),complement(join(zero,complement(X_9))))
| top = join(join(zero,complement(X_9)),meet(top,X_9)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_9))),meet(top,X_9)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
top = join(join(zero,complement(X_9)),meet(top,X_9)),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_9)),complement(join(zero,complement(X_9))))) )],[refute_0_411,refute_0_416]) ).
cnf(refute_0_418,plain,
join(join(zero,complement(X_9)),meet(top,X_9)) = join(zero,join(complement(X_9),meet(top,X_9))),
inference(subst,[],[refute_0_333:[bind(A,$fot(zero)),bind(B,$fot(complement(X_9))),bind(C,$fot(meet(top,X_9)))]]) ).
cnf(refute_0_419,plain,
( join(join(zero,complement(X_9)),meet(top,X_9)) != join(zero,join(complement(X_9),meet(top,X_9)))
| top != join(join(zero,complement(X_9)),meet(top,X_9))
| top = join(zero,join(complement(X_9),meet(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_9)),meet(top,X_9))) ),[1],$fot(join(zero,join(complement(X_9),meet(top,X_9))))]]) ).
cnf(refute_0_420,plain,
( top != join(join(zero,complement(X_9)),meet(top,X_9))
| top = join(zero,join(complement(X_9),meet(top,X_9))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_9)),meet(top,X_9)),join(zero,join(complement(X_9),meet(top,X_9)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
top = join(zero,join(complement(X_9),meet(top,X_9))),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_9)),meet(top,X_9))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
top = join(zero,join(complement(X_28),meet(top,X_28))),
inference(subst,[],[refute_0_421:[bind(X_9,$fot(X_28))]]) ).
cnf(refute_0_423,plain,
( top != join(zero,join(complement(X_28),meet(top,X_28)))
| join(zero,join(complement(X_28),meet(top,X_28))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(X_28),meet(top,X_28)))))]]) ).
cnf(refute_0_424,plain,
join(zero,join(complement(X_28),meet(top,X_28))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_28),meet(top,X_28)))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( join(join(complement(X_28),meet(top,X_28)),zero) != join(zero,join(complement(X_28),meet(top,X_28)))
| join(zero,join(complement(X_28),meet(top,X_28))) != top
| join(join(complement(X_28),meet(top,X_28)),zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(complement(X_28),meet(top,X_28)),zero),top) ),[0],$fot(join(zero,join(complement(X_28),meet(top,X_28))))]]) ).
cnf(refute_0_426,plain,
( join(join(complement(X_28),meet(top,X_28)),zero) != join(zero,join(complement(X_28),meet(top,X_28)))
| join(join(complement(X_28),meet(top,X_28)),zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_28),meet(top,X_28))),top) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(join(complement(X_28),meet(top,X_28)),zero) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(top,X_28)),zero),join(zero,join(complement(X_28),meet(top,X_28)))) )],[refute_0_410,refute_0_426]) ).
cnf(refute_0_428,plain,
join(meet(top,X_28),zero) = join(zero,meet(top,X_28)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(meet(top,X_28)))]]) ).
cnf(refute_0_429,plain,
join(complement(X_28),join(meet(top,X_28),zero)) = join(complement(X_28),join(meet(top,X_28),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_28),join(meet(top,X_28),zero)))]]) ).
cnf(refute_0_430,plain,
( join(complement(X_28),join(meet(top,X_28),zero)) != join(complement(X_28),join(meet(top,X_28),zero))
| join(meet(top,X_28),zero) != join(zero,meet(top,X_28))
| join(complement(X_28),join(meet(top,X_28),zero)) = join(complement(X_28),join(zero,meet(top,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_28),join(meet(top,X_28),zero)),join(complement(X_28),join(meet(top,X_28),zero))) ),[1,1],$fot(join(zero,meet(top,X_28)))]]) ).
cnf(refute_0_431,plain,
( join(meet(top,X_28),zero) != join(zero,meet(top,X_28))
| join(complement(X_28),join(meet(top,X_28),zero)) = join(complement(X_28),join(zero,meet(top,X_28))) ),
inference(resolve,[$cnf( $equal(join(complement(X_28),join(meet(top,X_28),zero)),join(complement(X_28),join(meet(top,X_28),zero))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
join(complement(X_28),join(meet(top,X_28),zero)) = join(complement(X_28),join(zero,meet(top,X_28))),
inference(resolve,[$cnf( $equal(join(meet(top,X_28),zero),join(zero,meet(top,X_28))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
join(join(complement(X_28),meet(top,X_28)),zero) = join(complement(X_28),join(meet(top,X_28),zero)),
inference(subst,[],[refute_0_333:[bind(A,$fot(complement(X_28))),bind(B,$fot(meet(top,X_28))),bind(C,$fot(zero))]]) ).
cnf(refute_0_434,plain,
( join(complement(X_28),join(meet(top,X_28),zero)) != join(complement(X_28),join(zero,meet(top,X_28)))
| join(join(complement(X_28),meet(top,X_28)),zero) != join(complement(X_28),join(meet(top,X_28),zero))
| join(join(complement(X_28),meet(top,X_28)),zero) = join(complement(X_28),join(zero,meet(top,X_28))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(complement(X_28),meet(top,X_28)),zero))),bind(Y,$fot(join(complement(X_28),join(meet(top,X_28),zero)))),bind(Z,$fot(join(complement(X_28),join(zero,meet(top,X_28)))))]]) ).
cnf(refute_0_435,plain,
( join(complement(X_28),join(meet(top,X_28),zero)) != join(complement(X_28),join(zero,meet(top,X_28)))
| join(join(complement(X_28),meet(top,X_28)),zero) = join(complement(X_28),join(zero,meet(top,X_28))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(top,X_28)),zero),join(complement(X_28),join(meet(top,X_28),zero))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
join(join(complement(X_28),meet(top,X_28)),zero) = join(complement(X_28),join(zero,meet(top,X_28))),
inference(resolve,[$cnf( $equal(join(complement(X_28),join(meet(top,X_28),zero)),join(complement(X_28),join(zero,meet(top,X_28)))) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
( join(join(complement(X_28),meet(top,X_28)),zero) != join(complement(X_28),join(zero,meet(top,X_28)))
| join(join(complement(X_28),meet(top,X_28)),zero) != top
| join(complement(X_28),join(zero,meet(top,X_28))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_28),meet(top,X_28)),zero),top) ),[0],$fot(join(complement(X_28),join(zero,meet(top,X_28))))]]) ).
cnf(refute_0_438,plain,
( join(join(complement(X_28),meet(top,X_28)),zero) != top
| join(complement(X_28),join(zero,meet(top,X_28))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(top,X_28)),zero),join(complement(X_28),join(zero,meet(top,X_28)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(complement(X_28),join(zero,meet(top,X_28))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(top,X_28)),zero),top) )],[refute_0_427,refute_0_438]) ).
cnf(refute_0_440,plain,
join(complement(X_34),join(zero,meet(top,X_34))) = top,
inference(subst,[],[refute_0_439:[bind(X_28,$fot(X_34))]]) ).
cnf(refute_0_441,plain,
( X_34 != join(meet(join(zero,meet(top,X_34)),X_34),complement(join(complement(X_34),join(zero,meet(top,X_34)))))
| join(complement(X_34),join(zero,meet(top,X_34))) != top
| X_34 = join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(join(zero,meet(top,X_34)),X_34),complement(join(complement(X_34),join(zero,meet(top,X_34)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_442,plain,
( X_34 != join(meet(join(zero,meet(top,X_34)),X_34),complement(join(complement(X_34),join(zero,meet(top,X_34)))))
| X_34 = join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),join(zero,meet(top,X_34))),top) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
X_34 = join(meet(join(zero,meet(top,X_34)),X_34),complement(top)),
inference(resolve,[$cnf( $equal(X_34,join(meet(join(zero,meet(top,X_34)),X_34),complement(join(complement(X_34),join(zero,meet(top,X_34)))))) )],[refute_0_409,refute_0_442]) ).
cnf(refute_0_444,plain,
meet(join(zero,meet(top,X_34)),X_34) = meet(X_34,join(zero,meet(top,X_34))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(X_34)),bind(X_7,$fot(join(zero,meet(top,X_34))))]]) ).
cnf(refute_0_445,plain,
join(zero,meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(join(zero,meet(top,X_34)),X_34)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,meet(top,X_34)),X_34)))]]) ).
cnf(refute_0_446,plain,
( join(zero,meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(join(zero,meet(top,X_34)),X_34))
| meet(join(zero,meet(top,X_34)),X_34) != meet(X_34,join(zero,meet(top,X_34)))
| join(zero,meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,meet(top,X_34)),X_34)),join(zero,meet(join(zero,meet(top,X_34)),X_34))) ),[1,1],$fot(meet(X_34,join(zero,meet(top,X_34))))]]) ).
cnf(refute_0_447,plain,
( meet(join(zero,meet(top,X_34)),X_34) != meet(X_34,join(zero,meet(top,X_34)))
| join(zero,meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,meet(top,X_34)),X_34)),join(zero,meet(join(zero,meet(top,X_34)),X_34))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
join(zero,meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(meet(join(zero,meet(top,X_34)),X_34),meet(X_34,join(zero,meet(top,X_34)))) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)))]]) ).
cnf(refute_0_450,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) != join(complement(top),meet(join(zero,meet(top,X_34)),X_34))
| join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(join(zero,meet(top,X_34)),X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),join(complement(top),meet(join(zero,meet(top,X_34)),X_34))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_451,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(join(zero,meet(top,X_34)),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),join(complement(top),meet(join(zero,meet(top,X_34)),X_34))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(join(zero,meet(top,X_34)),X_34)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_451]) ).
cnf(refute_0_453,plain,
( join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(join(zero,meet(top,X_34)),X_34))
| join(zero,meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)))),bind(Y,$fot(join(zero,meet(join(zero,meet(top,X_34)),X_34)))),bind(Z,$fot(join(zero,meet(X_34,join(zero,meet(top,X_34))))))]]) ).
cnf(refute_0_454,plain,
( join(zero,meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),join(zero,meet(join(zero,meet(top,X_34)),X_34))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,meet(top,X_34)),X_34)),join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_448,refute_0_454]) ).
cnf(refute_0_456,plain,
join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) = join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(zero,meet(top,X_34)),X_34)))]]) ).
cnf(refute_0_457,plain,
( join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) != join(complement(top),meet(join(zero,meet(top,X_34)),X_34))
| join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(zero,meet(top,X_34)),X_34),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)))),bind(Z,$fot(join(zero,meet(X_34,join(zero,meet(top,X_34))))))]]) ).
cnf(refute_0_458,plain,
( join(complement(top),meet(join(zero,meet(top,X_34)),X_34)) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,meet(top,X_34)),X_34),complement(top)),join(complement(top),meet(join(zero,meet(top,X_34)),X_34))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,meet(top,X_34)),X_34)),join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
( X_34 != join(meet(join(zero,meet(top,X_34)),X_34),complement(top))
| join(meet(join(zero,meet(top,X_34)),X_34),complement(top)) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(zero,meet(X_34,join(zero,meet(top,X_34))))) ),[0],$fot(join(meet(join(zero,meet(top,X_34)),X_34),complement(top)))]]) ).
cnf(refute_0_461,plain,
( X_34 != join(meet(join(zero,meet(top,X_34)),X_34),complement(top))
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,meet(top,X_34)),X_34),complement(top)),join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(join(zero,meet(top,X_34)),X_34),complement(top))) )],[refute_0_443,refute_0_461]) ).
cnf(refute_0_463,plain,
( X_34 != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(zero,meet(X_34,join(zero,meet(top,X_34)))) = X_34 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_34)),bind(Y,$fot(join(zero,meet(X_34,join(zero,meet(top,X_34))))))]]) ).
cnf(refute_0_464,plain,
join(zero,meet(X_34,join(zero,meet(top,X_34)))) = X_34,
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
( join(zero,join(zero,meet(X_34,join(zero,meet(top,X_34))))) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(zero,meet(X_34,join(zero,meet(top,X_34)))) != X_34
| join(zero,X_34) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_34,join(zero,meet(top,X_34))))),join(zero,meet(X_34,join(zero,meet(top,X_34))))) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_466,plain,
( join(zero,join(zero,meet(X_34,join(zero,meet(top,X_34))))) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(zero,X_34) = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,join(zero,meet(top,X_34)))),X_34) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
join(zero,X_34) = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_34,join(zero,meet(top,X_34))))),join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_408,refute_0_466]) ).
cnf(refute_0_468,plain,
join(zero,join(zero,meet(X_34,complement(complement(X_34))))) = join(zero,meet(X_34,complement(complement(X_34)))),
inference(subst,[],[refute_0_407:[bind(X_75,$fot(meet(X_34,complement(complement(X_34)))))]]) ).
cnf(refute_0_469,plain,
( X_34 != join(zero,meet(X_34,complement(complement(X_34))))
| join(zero,meet(X_34,complement(complement(X_34)))) = X_34 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_34)),bind(Y,$fot(join(zero,meet(X_34,complement(complement(X_34))))))]]) ).
cnf(refute_0_470,plain,
join(zero,meet(X_34,complement(complement(X_34)))) = X_34,
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,complement(complement(X_34))))) )],[refute_0_108,refute_0_469]) ).
cnf(refute_0_471,plain,
( join(zero,join(zero,meet(X_34,complement(complement(X_34))))) != join(zero,meet(X_34,complement(complement(X_34))))
| join(zero,meet(X_34,complement(complement(X_34)))) != X_34
| join(zero,X_34) = join(zero,meet(X_34,complement(complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_34,complement(complement(X_34))))),join(zero,meet(X_34,complement(complement(X_34))))) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_472,plain,
( join(zero,join(zero,meet(X_34,complement(complement(X_34))))) != join(zero,meet(X_34,complement(complement(X_34))))
| join(zero,X_34) = join(zero,meet(X_34,complement(complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,complement(complement(X_34)))),X_34) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
join(zero,X_34) = join(zero,meet(X_34,complement(complement(X_34)))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_34,complement(complement(X_34))))),join(zero,meet(X_34,complement(complement(X_34))))) )],[refute_0_468,refute_0_472]) ).
cnf(refute_0_474,plain,
( join(zero,X_34) != join(zero,meet(X_34,complement(complement(X_34))))
| join(zero,meet(X_34,complement(complement(X_34)))) != X_34
| join(zero,X_34) = X_34 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_34),X_34) ),[0],$fot(join(zero,meet(X_34,complement(complement(X_34)))))]]) ).
cnf(refute_0_475,plain,
( join(zero,X_34) != join(zero,meet(X_34,complement(complement(X_34))))
| join(zero,X_34) = X_34 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,complement(complement(X_34)))),X_34) )],[refute_0_470,refute_0_474]) ).
cnf(refute_0_476,plain,
join(zero,X_34) = X_34,
inference(resolve,[$cnf( $equal(join(zero,X_34),join(zero,meet(X_34,complement(complement(X_34))))) )],[refute_0_473,refute_0_475]) ).
cnf(refute_0_477,plain,
( join(zero,X_34) != X_34
| join(zero,X_34) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_34),join(zero,meet(X_34,join(zero,meet(top,X_34))))) ),[0],$fot(X_34)]]) ).
cnf(refute_0_478,plain,
( join(zero,X_34) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(join(zero,X_34),X_34) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
join(zero,meet(top,X_34)) = meet(top,X_34),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(top,X_34)))]]) ).
cnf(refute_0_480,plain,
meet(X_34,join(zero,meet(top,X_34))) = meet(X_34,join(zero,meet(top,X_34))),
introduced(tautology,[refl,[$fot(meet(X_34,join(zero,meet(top,X_34))))]]) ).
cnf(refute_0_481,plain,
( join(zero,meet(top,X_34)) != meet(top,X_34)
| meet(X_34,join(zero,meet(top,X_34))) != meet(X_34,join(zero,meet(top,X_34)))
| meet(X_34,join(zero,meet(top,X_34))) = meet(X_34,meet(top,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,join(zero,meet(top,X_34))),meet(X_34,join(zero,meet(top,X_34)))) ),[1,1],$fot(meet(top,X_34))]]) ).
cnf(refute_0_482,plain,
( join(zero,meet(top,X_34)) != meet(top,X_34)
| meet(X_34,join(zero,meet(top,X_34))) = meet(X_34,meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(meet(X_34,join(zero,meet(top,X_34))),meet(X_34,join(zero,meet(top,X_34)))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(X_34,join(zero,meet(top,X_34))) = meet(X_34,meet(top,X_34)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_34)),meet(top,X_34)) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
join(zero,meet(X_34,join(zero,meet(top,X_34)))) = meet(X_34,join(zero,meet(top,X_34))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(X_34,join(zero,meet(top,X_34)))))]]) ).
cnf(refute_0_485,plain,
( join(zero,meet(X_34,join(zero,meet(top,X_34)))) != meet(X_34,join(zero,meet(top,X_34)))
| meet(X_34,join(zero,meet(top,X_34))) != meet(X_34,meet(top,X_34))
| join(zero,meet(X_34,join(zero,meet(top,X_34)))) = meet(X_34,meet(top,X_34)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(X_34,join(zero,meet(top,X_34)))))),bind(Y,$fot(meet(X_34,join(zero,meet(top,X_34))))),bind(Z,$fot(meet(X_34,meet(top,X_34))))]]) ).
cnf(refute_0_486,plain,
( meet(X_34,join(zero,meet(top,X_34))) != meet(X_34,meet(top,X_34))
| join(zero,meet(X_34,join(zero,meet(top,X_34)))) = meet(X_34,meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,join(zero,meet(top,X_34)))),meet(X_34,join(zero,meet(top,X_34)))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
join(zero,meet(X_34,join(zero,meet(top,X_34)))) = meet(X_34,meet(top,X_34)),
inference(resolve,[$cnf( $equal(meet(X_34,join(zero,meet(top,X_34))),meet(X_34,meet(top,X_34))) )],[refute_0_483,refute_0_486]) ).
cnf(refute_0_488,plain,
( X_34 != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| join(zero,meet(X_34,join(zero,meet(top,X_34)))) != meet(X_34,meet(top,X_34))
| X_34 = meet(X_34,meet(top,X_34)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,meet(X_34,meet(top,X_34))) ),[0],$fot(join(zero,meet(X_34,join(zero,meet(top,X_34)))))]]) ).
cnf(refute_0_489,plain,
( X_34 != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| X_34 = meet(X_34,meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,join(zero,meet(top,X_34)))),meet(X_34,meet(top,X_34))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( join(zero,X_34) != join(zero,meet(X_34,join(zero,meet(top,X_34))))
| X_34 = meet(X_34,meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_478,refute_0_489]) ).
cnf(refute_0_491,plain,
X_34 = meet(X_34,meet(top,X_34)),
inference(resolve,[$cnf( $equal(join(zero,X_34),join(zero,meet(X_34,join(zero,meet(top,X_34))))) )],[refute_0_467,refute_0_490]) ).
cnf(refute_0_492,plain,
X_35 = meet(X_35,meet(top,X_35)),
inference(subst,[],[refute_0_491:[bind(X_34,$fot(X_35))]]) ).
cnf(refute_0_493,plain,
( X_35 != meet(X_35,meet(top,X_35))
| meet(X_35,meet(top,X_35)) = X_35 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_35)),bind(Y,$fot(meet(X_35,meet(top,X_35))))]]) ).
cnf(refute_0_494,plain,
meet(X_35,meet(top,X_35)) = X_35,
inference(resolve,[$cnf( $equal(X_35,meet(X_35,meet(top,X_35))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( meet(X_35,meet(top,X_35)) != X_35
| meet(top,X_35) != join(meet(X_35,meet(top,X_35)),complement(join(complement(meet(top,X_35)),X_35)))
| meet(top,X_35) = join(X_35,complement(join(complement(meet(top,X_35)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_35),join(meet(X_35,meet(top,X_35)),complement(join(complement(meet(top,X_35)),X_35)))) ),[1,0],$fot(X_35)]]) ).
cnf(refute_0_496,plain,
( meet(top,X_35) != join(meet(X_35,meet(top,X_35)),complement(join(complement(meet(top,X_35)),X_35)))
| meet(top,X_35) = join(X_35,complement(join(complement(meet(top,X_35)),X_35))) ),
inference(resolve,[$cnf( $equal(meet(X_35,meet(top,X_35)),X_35) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
meet(top,X_35) = join(X_35,complement(join(complement(meet(top,X_35)),X_35))),
inference(resolve,[$cnf( $equal(meet(top,X_35),join(meet(X_35,meet(top,X_35)),complement(join(complement(meet(top,X_35)),X_35)))) )],[refute_0_176,refute_0_496]) ).
cnf(refute_0_498,plain,
join(zero,join(zero,X_83)) = join(zero,X_83),
inference(subst,[],[refute_0_407:[bind(X_75,$fot(X_83))]]) ).
cnf(refute_0_499,plain,
join(X_83,zero) = join(zero,X_83),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_83)),bind(B,$fot(zero))]]) ).
cnf(refute_0_500,plain,
( join(X_83,zero) != join(zero,X_83)
| join(zero,X_83) = join(X_83,zero) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_83,zero))),bind(Y,$fot(join(zero,X_83)))]]) ).
cnf(refute_0_501,plain,
join(zero,X_83) = join(X_83,zero),
inference(resolve,[$cnf( $equal(join(X_83,zero),join(zero,X_83)) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
( join(zero,X_83) != join(X_83,zero)
| join(zero,join(zero,X_83)) != join(zero,X_83)
| join(zero,join(zero,X_83)) = join(X_83,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_83)),join(zero,X_83)) ),[1],$fot(join(X_83,zero))]]) ).
cnf(refute_0_503,plain,
( join(zero,join(zero,X_83)) != join(zero,X_83)
| join(zero,join(zero,X_83)) = join(X_83,zero) ),
inference(resolve,[$cnf( $equal(join(zero,X_83),join(X_83,zero)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
join(zero,join(zero,X_83)) = join(X_83,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_83)),join(zero,X_83)) )],[refute_0_498,refute_0_503]) ).
cnf(refute_0_505,plain,
join(zero,X_83) = X_83,
inference(subst,[],[refute_0_476:[bind(X_34,$fot(X_83))]]) ).
cnf(refute_0_506,plain,
( join(zero,X_83) != X_83
| join(zero,join(zero,X_83)) != join(zero,X_83)
| join(zero,join(zero,X_83)) = X_83 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(zero,X_83)))),bind(Y,$fot(join(zero,X_83))),bind(Z,$fot(X_83))]]) ).
cnf(refute_0_507,plain,
( join(zero,X_83) != X_83
| join(zero,join(zero,X_83)) = X_83 ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_83)),join(zero,X_83)) )],[refute_0_498,refute_0_506]) ).
cnf(refute_0_508,plain,
join(zero,join(zero,X_83)) = X_83,
inference(resolve,[$cnf( $equal(join(zero,X_83),X_83) )],[refute_0_505,refute_0_507]) ).
cnf(refute_0_509,plain,
( join(zero,join(zero,X_83)) != X_83
| join(zero,join(zero,X_83)) != join(X_83,zero)
| X_83 = join(X_83,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_83)),join(X_83,zero)) ),[0],$fot(X_83)]]) ).
cnf(refute_0_510,plain,
( join(zero,join(zero,X_83)) != join(X_83,zero)
| X_83 = join(X_83,zero) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_83)),X_83) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
X_83 = join(X_83,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_83)),join(X_83,zero)) )],[refute_0_504,refute_0_510]) ).
cnf(refute_0_512,plain,
( X_83 != join(X_83,zero)
| join(X_83,zero) = X_83 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_83)),bind(Y,$fot(join(X_83,zero)))]]) ).
cnf(refute_0_513,plain,
join(X_83,zero) = X_83,
inference(resolve,[$cnf( $equal(X_83,join(X_83,zero)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
join(X_35,zero) = X_35,
inference(subst,[],[refute_0_513:[bind(X_83,$fot(X_35))]]) ).
cnf(refute_0_515,plain,
join(X_35,complement(X_35)) = top,
inference(subst,[],[refute_0_79:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_516,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B)))))),
inference(subst,[],[refute_0_108:[bind(X_34,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_517,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))) ),[1,1,1,0],$fot(meet(top,B))]]) ).
cnf(refute_0_518,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_188,refute_0_517]) ).
cnf(refute_0_519,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))) )],[refute_0_516,refute_0_518]) ).
cnf(refute_0_520,plain,
meet(join(zero,complement(B)),complement(meet(top,B))) = meet(complement(meet(top,B)),join(zero,complement(B))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(complement(meet(top,B)))),bind(X_7,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_521,plain,
join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))))]]) ).
cnf(refute_0_522,plain,
( join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| meet(join(zero,complement(B)),complement(meet(top,B))) != meet(complement(meet(top,B)),join(zero,complement(B)))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) ),[1,1],$fot(meet(complement(meet(top,B)),join(zero,complement(B))))]]) ).
cnf(refute_0_523,plain,
( meet(join(zero,complement(B)),complement(meet(top,B))) != meet(complement(meet(top,B)),join(zero,complement(B)))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),complement(meet(top,B))),meet(complement(meet(top,B)),join(zero,complement(B)))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(B)),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) ),[0],$fot(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))))]]) ).
cnf(refute_0_526,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) )],[refute_0_519,refute_0_526]) ).
cnf(refute_0_528,plain,
X_34 = join(meet(X_34,complement(X_34)),complement(join(complement(X_34),complement(X_34)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(complement(X_34)))]]) ).
cnf(refute_0_529,plain,
zero = meet(X_34,complement(X_34)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_530,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_531,plain,
meet(X_34,complement(X_34)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_34,complement(X_34))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
( X_34 != join(meet(X_34,complement(X_34)),complement(join(complement(X_34),complement(X_34))))
| meet(X_34,complement(X_34)) != zero
| X_34 = join(zero,complement(join(complement(X_34),complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,complement(X_34)),complement(join(complement(X_34),complement(X_34))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_533,plain,
( X_34 != join(meet(X_34,complement(X_34)),complement(join(complement(X_34),complement(X_34))))
| X_34 = join(zero,complement(join(complement(X_34),complement(X_34)))) ),
inference(resolve,[$cnf( $equal(meet(X_34,complement(X_34)),zero) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
X_34 = join(zero,complement(join(complement(X_34),complement(X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,complement(X_34)),complement(join(complement(X_34),complement(X_34))))) )],[refute_0_528,refute_0_533]) ).
cnf(refute_0_535,plain,
complement(join(complement(X_34),complement(X_34))) = meet(X_34,X_34),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_34)),bind(B,$fot(X_34))]]) ).
cnf(refute_0_536,plain,
join(zero,complement(join(complement(X_34),complement(X_34)))) = join(zero,complement(join(complement(X_34),complement(X_34)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_34),complement(X_34)))))]]) ).
cnf(refute_0_537,plain,
( complement(join(complement(X_34),complement(X_34))) != meet(X_34,X_34)
| join(zero,complement(join(complement(X_34),complement(X_34)))) != join(zero,complement(join(complement(X_34),complement(X_34))))
| join(zero,complement(join(complement(X_34),complement(X_34)))) = join(zero,meet(X_34,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_34),complement(X_34)))),join(zero,complement(join(complement(X_34),complement(X_34))))) ),[1,1],$fot(meet(X_34,X_34))]]) ).
cnf(refute_0_538,plain,
( complement(join(complement(X_34),complement(X_34))) != meet(X_34,X_34)
| join(zero,complement(join(complement(X_34),complement(X_34)))) = join(zero,meet(X_34,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_34),complement(X_34)))),join(zero,complement(join(complement(X_34),complement(X_34))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
join(zero,complement(join(complement(X_34),complement(X_34)))) = join(zero,meet(X_34,X_34)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(X_34))),meet(X_34,X_34)) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
( X_34 != join(zero,complement(join(complement(X_34),complement(X_34))))
| join(zero,complement(join(complement(X_34),complement(X_34)))) != join(zero,meet(X_34,X_34))
| X_34 = join(zero,meet(X_34,X_34)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(zero,meet(X_34,X_34))) ),[0],$fot(join(zero,complement(join(complement(X_34),complement(X_34)))))]]) ).
cnf(refute_0_541,plain,
( X_34 != join(zero,complement(join(complement(X_34),complement(X_34))))
| X_34 = join(zero,meet(X_34,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_34),complement(X_34)))),join(zero,meet(X_34,X_34))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
X_34 = join(zero,meet(X_34,X_34)),
inference(resolve,[$cnf( $equal(X_34,join(zero,complement(join(complement(X_34),complement(X_34))))) )],[refute_0_534,refute_0_541]) ).
cnf(refute_0_543,plain,
( X_34 != join(zero,meet(X_34,X_34))
| join(zero,meet(X_34,X_34)) = X_34 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_34)),bind(Y,$fot(join(zero,meet(X_34,X_34))))]]) ).
cnf(refute_0_544,plain,
join(zero,meet(X_34,X_34)) = X_34,
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,X_34))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) = complement(meet(top,B)),
inference(subst,[],[refute_0_544:[bind(X_34,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_546,plain,
meet(A,join(zero,complement(X_9))) = complement(join(complement(A),complement(join(zero,complement(X_9))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(zero,complement(X_9))))]]) ).
cnf(refute_0_547,plain,
( complement(join(zero,complement(X_9))) != meet(top,X_9)
| meet(A,join(zero,complement(X_9))) != complement(join(complement(A),complement(join(zero,complement(X_9)))))
| meet(A,join(zero,complement(X_9))) = complement(join(complement(A),meet(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_9))),complement(join(complement(A),complement(join(zero,complement(X_9)))))) ),[1,0,1],$fot(meet(top,X_9))]]) ).
cnf(refute_0_548,plain,
( meet(A,join(zero,complement(X_9))) != complement(join(complement(A),complement(join(zero,complement(X_9)))))
| meet(A,join(zero,complement(X_9))) = complement(join(complement(A),meet(top,X_9))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_9))),meet(top,X_9)) )],[refute_0_414,refute_0_547]) ).
cnf(refute_0_549,plain,
meet(A,join(zero,complement(X_9))) = complement(join(complement(A),meet(top,X_9))),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_9))),complement(join(complement(A),complement(join(zero,complement(X_9)))))) )],[refute_0_546,refute_0_548]) ).
cnf(refute_0_550,plain,
( meet(A,complement(meet(X_6,X_7))) != complement(join(complement(A),meet(X_6,X_7)))
| complement(join(complement(A),meet(X_6,X_7))) = meet(A,complement(meet(X_6,X_7))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,complement(meet(X_6,X_7))))),bind(Y,$fot(complement(join(complement(A),meet(X_6,X_7)))))]]) ).
cnf(refute_0_551,plain,
complement(join(complement(A),meet(X_6,X_7))) = meet(A,complement(meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(A,complement(meet(X_6,X_7))),complement(join(complement(A),meet(X_6,X_7)))) )],[refute_0_174,refute_0_550]) ).
cnf(refute_0_552,plain,
complement(join(complement(A),meet(top,X_9))) = meet(A,complement(meet(top,X_9))),
inference(subst,[],[refute_0_551:[bind(X_6,$fot(top)),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_553,plain,
( complement(join(complement(A),meet(top,X_9))) != meet(A,complement(meet(top,X_9)))
| meet(A,join(zero,complement(X_9))) != complement(join(complement(A),meet(top,X_9)))
| meet(A,join(zero,complement(X_9))) = meet(A,complement(meet(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_9))),complement(join(complement(A),meet(top,X_9)))) ),[1],$fot(meet(A,complement(meet(top,X_9))))]]) ).
cnf(refute_0_554,plain,
( meet(A,join(zero,complement(X_9))) != complement(join(complement(A),meet(top,X_9)))
| meet(A,join(zero,complement(X_9))) = meet(A,complement(meet(top,X_9))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),meet(top,X_9))),meet(A,complement(meet(top,X_9)))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
meet(A,join(zero,complement(X_9))) = meet(A,complement(meet(top,X_9))),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_9))),complement(join(complement(A),meet(top,X_9)))) )],[refute_0_549,refute_0_554]) ).
cnf(refute_0_556,plain,
meet(complement(meet(top,B)),join(zero,complement(B))) = meet(complement(meet(top,B)),complement(meet(top,B))),
inference(subst,[],[refute_0_555:[bind(A,$fot(complement(meet(top,B)))),bind(X_9,$fot(B))]]) ).
cnf(refute_0_557,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))]]) ).
cnf(refute_0_558,plain,
( join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| meet(complement(meet(top,B)),join(zero,complement(B))) != meet(complement(meet(top,B)),complement(meet(top,B)))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) ),[1,1],$fot(meet(complement(meet(top,B)),complement(meet(top,B))))]]) ).
cnf(refute_0_559,plain,
( meet(complement(meet(top,B)),join(zero,complement(B))) != meet(complement(meet(top,B)),complement(meet(top,B)))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,B)),join(zero,complement(B))),meet(complement(meet(top,B)),complement(meet(top,B)))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
( join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) != complement(meet(top,B))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != join(zero,meet(complement(meet(top,B)),complement(meet(top,B))))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))))),bind(Z,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_562,plain,
( join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) != complement(meet(top,B))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),complement(meet(top,B))))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))),complement(meet(top,B))) )],[refute_0_545,refute_0_562]) ).
cnf(refute_0_564,plain,
( join(zero,complement(B)) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != complement(meet(top,B))
| join(zero,complement(B)) = complement(meet(top,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(B)),complement(meet(top,B))) ),[0],$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))]]) ).
cnf(refute_0_565,plain,
( join(zero,complement(B)) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,complement(B)) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),complement(meet(top,B))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
join(zero,complement(B)) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_527,refute_0_565]) ).
cnf(refute_0_567,plain,
join(zero,complement(B)) = complement(B),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(complement(B)))]]) ).
cnf(refute_0_568,plain,
( join(zero,complement(B)) != complement(B)
| join(zero,complement(B)) != complement(meet(top,B))
| complement(B) = complement(meet(top,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),complement(meet(top,B))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_569,plain,
( join(zero,complement(B)) != complement(meet(top,B))
| complement(B) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
complement(B) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(meet(top,B))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
( complement(B) != complement(meet(top,B))
| complement(meet(top,B)) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_572,plain,
complement(meet(top,B)) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),complement(meet(top,B))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
complement(meet(top,X_35)) = complement(X_35),
inference(subst,[],[refute_0_572:[bind(B,$fot(X_35))]]) ).
cnf(refute_0_574,plain,
join(X_35,complement(meet(top,X_35))) = join(X_35,complement(meet(top,X_35))),
introduced(tautology,[refl,[$fot(join(X_35,complement(meet(top,X_35))))]]) ).
cnf(refute_0_575,plain,
( complement(meet(top,X_35)) != complement(X_35)
| join(X_35,complement(meet(top,X_35))) != join(X_35,complement(meet(top,X_35)))
| join(X_35,complement(meet(top,X_35))) = join(X_35,complement(X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,complement(meet(top,X_35))),join(X_35,complement(meet(top,X_35)))) ),[1,1],$fot(complement(X_35))]]) ).
cnf(refute_0_576,plain,
( complement(meet(top,X_35)) != complement(X_35)
| join(X_35,complement(meet(top,X_35))) = join(X_35,complement(X_35)) ),
inference(resolve,[$cnf( $equal(join(X_35,complement(meet(top,X_35))),join(X_35,complement(meet(top,X_35)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
join(X_35,complement(meet(top,X_35))) = join(X_35,complement(X_35)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_35)),complement(X_35)) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
( join(X_35,complement(X_35)) != top
| join(X_35,complement(meet(top,X_35))) != join(X_35,complement(X_35))
| join(X_35,complement(meet(top,X_35))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_35,complement(meet(top,X_35))))),bind(Y,$fot(join(X_35,complement(X_35)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_579,plain,
( join(X_35,complement(X_35)) != top
| join(X_35,complement(meet(top,X_35))) = top ),
inference(resolve,[$cnf( $equal(join(X_35,complement(meet(top,X_35))),join(X_35,complement(X_35))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
join(X_35,complement(meet(top,X_35))) = top,
inference(resolve,[$cnf( $equal(join(X_35,complement(X_35)),top) )],[refute_0_515,refute_0_579]) ).
cnf(refute_0_581,plain,
join(complement(meet(top,X_35)),X_35) = join(X_35,complement(meet(top,X_35))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_35)),bind(B,$fot(complement(meet(top,X_35))))]]) ).
cnf(refute_0_582,plain,
( join(X_35,complement(meet(top,X_35))) != top
| join(complement(meet(top,X_35)),X_35) != join(X_35,complement(meet(top,X_35)))
| join(complement(meet(top,X_35)),X_35) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(meet(top,X_35)),X_35))),bind(Y,$fot(join(X_35,complement(meet(top,X_35))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_583,plain,
( join(X_35,complement(meet(top,X_35))) != top
| join(complement(meet(top,X_35)),X_35) = top ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_35)),X_35),join(X_35,complement(meet(top,X_35)))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(complement(meet(top,X_35)),X_35) = top,
inference(resolve,[$cnf( $equal(join(X_35,complement(meet(top,X_35))),top) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
complement(join(complement(meet(top,X_35)),X_35)) = complement(join(complement(meet(top,X_35)),X_35)),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,X_35)),X_35)))]]) ).
cnf(refute_0_586,plain,
( complement(join(complement(meet(top,X_35)),X_35)) != complement(join(complement(meet(top,X_35)),X_35))
| join(complement(meet(top,X_35)),X_35) != top
| complement(join(complement(meet(top,X_35)),X_35)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,X_35)),X_35)),complement(join(complement(meet(top,X_35)),X_35))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_587,plain,
( join(complement(meet(top,X_35)),X_35) != top
| complement(join(complement(meet(top,X_35)),X_35)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_35)),X_35)),complement(join(complement(meet(top,X_35)),X_35))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
complement(join(complement(meet(top,X_35)),X_35)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_35)),X_35),top) )],[refute_0_584,refute_0_587]) ).
cnf(refute_0_589,plain,
( complement(join(complement(meet(top,X_35)),X_35)) != complement(top)
| complement(top) != zero
| complement(join(complement(meet(top,X_35)),X_35)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(meet(top,X_35)),X_35)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_590,plain,
( complement(top) != zero
| complement(join(complement(meet(top,X_35)),X_35)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_35)),X_35)),complement(top)) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
complement(join(complement(meet(top,X_35)),X_35)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_590]) ).
cnf(refute_0_592,plain,
join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = join(X_35,complement(join(complement(meet(top,X_35)),X_35))),
introduced(tautology,[refl,[$fot(join(X_35,complement(join(complement(meet(top,X_35)),X_35))))]]) ).
cnf(refute_0_593,plain,
( complement(join(complement(meet(top,X_35)),X_35)) != zero
| join(X_35,complement(join(complement(meet(top,X_35)),X_35))) != join(X_35,complement(join(complement(meet(top,X_35)),X_35)))
| join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = join(X_35,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,complement(join(complement(meet(top,X_35)),X_35))),join(X_35,complement(join(complement(meet(top,X_35)),X_35)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_594,plain,
( complement(join(complement(meet(top,X_35)),X_35)) != zero
| join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = join(X_35,zero) ),
inference(resolve,[$cnf( $equal(join(X_35,complement(join(complement(meet(top,X_35)),X_35))),join(X_35,complement(join(complement(meet(top,X_35)),X_35)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = join(X_35,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_35)),X_35)),zero) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
( join(X_35,complement(join(complement(meet(top,X_35)),X_35))) != join(X_35,zero)
| join(X_35,zero) != X_35
| join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = X_35 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_35,complement(join(complement(meet(top,X_35)),X_35))))),bind(Y,$fot(join(X_35,zero))),bind(Z,$fot(X_35))]]) ).
cnf(refute_0_597,plain,
( join(X_35,zero) != X_35
| join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = X_35 ),
inference(resolve,[$cnf( $equal(join(X_35,complement(join(complement(meet(top,X_35)),X_35))),join(X_35,zero)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
join(X_35,complement(join(complement(meet(top,X_35)),X_35))) = X_35,
inference(resolve,[$cnf( $equal(join(X_35,zero),X_35) )],[refute_0_514,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(X_35,complement(join(complement(meet(top,X_35)),X_35))) != X_35
| meet(top,X_35) != join(X_35,complement(join(complement(meet(top,X_35)),X_35)))
| meet(top,X_35) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_35),join(X_35,complement(join(complement(meet(top,X_35)),X_35)))) ),[1],$fot(X_35)]]) ).
cnf(refute_0_600,plain,
( meet(top,X_35) != join(X_35,complement(join(complement(meet(top,X_35)),X_35)))
| meet(top,X_35) = X_35 ),
inference(resolve,[$cnf( $equal(join(X_35,complement(join(complement(meet(top,X_35)),X_35))),X_35) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
meet(top,X_35) = X_35,
inference(resolve,[$cnf( $equal(meet(top,X_35),join(X_35,complement(join(complement(meet(top,X_35)),X_35)))) )],[refute_0_497,refute_0_600]) ).
cnf(refute_0_602,plain,
meet(top,X_290) = X_290,
inference(subst,[],[refute_0_601:[bind(X_35,$fot(X_290))]]) ).
cnf(refute_0_603,plain,
( meet(X_288,complement(meet(top,X_290))) != complement(join(complement(X_288),meet(top,X_290)))
| meet(top,X_290) != X_290
| meet(X_288,complement(meet(top,X_290))) = complement(join(complement(X_288),X_290)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),complement(join(complement(X_288),meet(top,X_290)))) ),[1,0,1],$fot(X_290)]]) ).
cnf(refute_0_604,plain,
( meet(X_288,complement(meet(top,X_290))) != complement(join(complement(X_288),meet(top,X_290)))
| meet(X_288,complement(meet(top,X_290))) = complement(join(complement(X_288),X_290)) ),
inference(resolve,[$cnf( $equal(meet(top,X_290),X_290) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
meet(X_288,complement(meet(top,X_290))) = complement(join(complement(X_288),X_290)),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),complement(join(complement(X_288),meet(top,X_290)))) )],[refute_0_175,refute_0_604]) ).
cnf(refute_0_606,plain,
complement(meet(top,X_290)) = complement(meet(top,X_290)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_290)))]]) ).
cnf(refute_0_607,plain,
( complement(meet(top,X_290)) != complement(meet(top,X_290))
| meet(top,X_290) != X_290
| complement(meet(top,X_290)) = complement(X_290) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_290)),complement(meet(top,X_290))) ),[1,0],$fot(X_290)]]) ).
cnf(refute_0_608,plain,
( meet(top,X_290) != X_290
| complement(meet(top,X_290)) = complement(X_290) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_290)),complement(meet(top,X_290))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
complement(meet(top,X_290)) = complement(X_290),
inference(resolve,[$cnf( $equal(meet(top,X_290),X_290) )],[refute_0_602,refute_0_608]) ).
cnf(refute_0_610,plain,
meet(X_288,complement(meet(top,X_290))) = meet(X_288,complement(meet(top,X_290))),
introduced(tautology,[refl,[$fot(meet(X_288,complement(meet(top,X_290))))]]) ).
cnf(refute_0_611,plain,
( complement(meet(top,X_290)) != complement(X_290)
| meet(X_288,complement(meet(top,X_290))) != meet(X_288,complement(meet(top,X_290)))
| meet(X_288,complement(meet(top,X_290))) = meet(X_288,complement(X_290)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),meet(X_288,complement(meet(top,X_290)))) ),[1,1],$fot(complement(X_290))]]) ).
cnf(refute_0_612,plain,
( complement(meet(top,X_290)) != complement(X_290)
| meet(X_288,complement(meet(top,X_290))) = meet(X_288,complement(X_290)) ),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),meet(X_288,complement(meet(top,X_290)))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
meet(X_288,complement(meet(top,X_290))) = meet(X_288,complement(X_290)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_290)),complement(X_290)) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( meet(X_288,complement(meet(top,X_290))) != complement(join(complement(X_288),X_290))
| meet(X_288,complement(meet(top,X_290))) != meet(X_288,complement(X_290))
| meet(X_288,complement(X_290)) = complement(join(complement(X_288),X_290)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),complement(join(complement(X_288),X_290))) ),[0],$fot(meet(X_288,complement(X_290)))]]) ).
cnf(refute_0_615,plain,
( meet(X_288,complement(meet(top,X_290))) != complement(join(complement(X_288),X_290))
| meet(X_288,complement(X_290)) = complement(join(complement(X_288),X_290)) ),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),meet(X_288,complement(X_290))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
meet(X_288,complement(X_290)) = complement(join(complement(X_288),X_290)),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(top,X_290))),complement(join(complement(X_288),X_290))) )],[refute_0_605,refute_0_615]) ).
cnf(refute_0_617,plain,
meet(converse(X_270),complement(converse(join(X_75,X_270)))) = complement(join(complement(converse(X_270)),converse(join(X_75,X_270)))),
inference(subst,[],[refute_0_616:[bind(X_288,$fot(converse(X_270))),bind(X_290,$fot(converse(join(X_75,X_270))))]]) ).
cnf(refute_0_618,plain,
join(converse(X_14),converse(X_13)) = join(converse(X_13),converse(X_14)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(X_14))),bind(B,$fot(converse(X_13)))]]) ).
cnf(refute_0_619,plain,
converse(join(X_13,X_14)) = join(converse(X_13),converse(X_14)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_13)),bind(B,$fot(X_14))]]) ).
cnf(refute_0_620,plain,
( converse(join(X_13,X_14)) != join(converse(X_13),converse(X_14))
| join(converse(X_13),converse(X_14)) = converse(join(X_13,X_14)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_13,X_14)))),bind(Y,$fot(join(converse(X_13),converse(X_14))))]]) ).
cnf(refute_0_621,plain,
join(converse(X_13),converse(X_14)) = converse(join(X_13,X_14)),
inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),join(converse(X_13),converse(X_14))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( join(converse(X_13),converse(X_14)) != converse(join(X_13,X_14))
| join(converse(X_14),converse(X_13)) != join(converse(X_13),converse(X_14))
| join(converse(X_14),converse(X_13)) = converse(join(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_14),converse(X_13)),join(converse(X_13),converse(X_14))) ),[1],$fot(converse(join(X_13,X_14)))]]) ).
cnf(refute_0_623,plain,
( join(converse(X_14),converse(X_13)) != join(converse(X_13),converse(X_14))
| join(converse(X_14),converse(X_13)) = converse(join(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(join(converse(X_13),converse(X_14)),converse(join(X_13,X_14))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(converse(X_14),converse(X_13)) = converse(join(X_13,X_14)),
inference(resolve,[$cnf( $equal(join(converse(X_14),converse(X_13)),join(converse(X_13),converse(X_14))) )],[refute_0_618,refute_0_623]) ).
cnf(refute_0_625,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_626,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_625]) ).
cnf(refute_0_627,plain,
join(converse(X_14),converse(X_13)) = converse(join(X_14,X_13)),
inference(subst,[],[refute_0_626:[bind(A,$fot(X_14)),bind(B,$fot(X_13))]]) ).
cnf(refute_0_628,plain,
( join(converse(X_14),converse(X_13)) != converse(join(X_13,X_14))
| join(converse(X_14),converse(X_13)) != converse(join(X_14,X_13))
| converse(join(X_14,X_13)) = converse(join(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_14),converse(X_13)),converse(join(X_13,X_14))) ),[0],$fot(converse(join(X_14,X_13)))]]) ).
cnf(refute_0_629,plain,
( join(converse(X_14),converse(X_13)) != converse(join(X_13,X_14))
| converse(join(X_14,X_13)) = converse(join(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(join(converse(X_14),converse(X_13)),converse(join(X_14,X_13))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
converse(join(X_14,X_13)) = converse(join(X_13,X_14)),
inference(resolve,[$cnf( $equal(join(converse(X_14),converse(X_13)),converse(join(X_13,X_14))) )],[refute_0_624,refute_0_629]) ).
cnf(refute_0_631,plain,
converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))),
inference(subst,[],[refute_0_630:[bind(X_14,$fot(join(X_133,converse(complement(converse(join(X_133,X_13)))))))]]) ).
cnf(refute_0_632,plain,
converse(join(converse(A),X_14)) = join(converse(converse(A)),converse(X_14)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_14))]]) ).
cnf(refute_0_633,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_14)) != join(converse(converse(A)),converse(X_14))
| converse(join(converse(A),X_14)) = join(A,converse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_14)),join(converse(converse(A)),converse(X_14))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_634,plain,
( converse(join(converse(A),X_14)) != join(converse(converse(A)),converse(X_14))
| converse(join(converse(A),X_14)) = join(A,converse(X_14)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_633]) ).
cnf(refute_0_635,plain,
converse(join(converse(A),X_14)) = join(A,converse(X_14)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_14)),join(converse(converse(A)),converse(X_14))) )],[refute_0_632,refute_0_634]) ).
cnf(refute_0_636,plain,
converse(join(converse(X_17),complement(converse(X_17)))) = join(X_17,converse(complement(converse(X_17)))),
inference(subst,[],[refute_0_635:[bind(A,$fot(X_17)),bind(X_14,$fot(complement(converse(X_17))))]]) ).
cnf(refute_0_637,plain,
top = join(converse(X_17),complement(converse(X_17))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_17)))]]) ).
cnf(refute_0_638,plain,
( top != join(converse(X_17),complement(converse(X_17)))
| join(converse(X_17),complement(converse(X_17))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_17),complement(converse(X_17)))))]]) ).
cnf(refute_0_639,plain,
join(converse(X_17),complement(converse(X_17))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_17),complement(converse(X_17)))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( converse(join(converse(X_17),complement(converse(X_17)))) != join(X_17,converse(complement(converse(X_17))))
| join(converse(X_17),complement(converse(X_17))) != top
| converse(top) = join(X_17,converse(complement(converse(X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_17),complement(converse(X_17)))),join(X_17,converse(complement(converse(X_17))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_641,plain,
( converse(join(converse(X_17),complement(converse(X_17)))) != join(X_17,converse(complement(converse(X_17))))
| converse(top) = join(X_17,converse(complement(converse(X_17)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_17),complement(converse(X_17))),top) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
converse(top) = join(X_17,converse(complement(converse(X_17)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_17),complement(converse(X_17)))),join(X_17,converse(complement(converse(X_17))))) )],[refute_0_636,refute_0_641]) ).
cnf(refute_0_643,plain,
converse(top) = join(join(X_70,X_69),converse(complement(converse(join(X_70,X_69))))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(join(X_70,X_69)))]]) ).
cnf(refute_0_644,plain,
converse(join(X_70,X_69)) = converse(join(X_69,X_70)),
inference(subst,[],[refute_0_630:[bind(X_13,$fot(X_69)),bind(X_14,$fot(X_70))]]) ).
cnf(refute_0_645,plain,
( converse(join(X_70,X_69)) != converse(join(X_69,X_70))
| converse(top) != join(join(X_70,X_69),converse(complement(converse(join(X_70,X_69)))))
| converse(top) = join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_70,X_69),converse(complement(converse(join(X_70,X_69)))))) ),[1,1,0,0],$fot(converse(join(X_69,X_70)))]]) ).
cnf(refute_0_646,plain,
( converse(top) != join(join(X_70,X_69),converse(complement(converse(join(X_70,X_69)))))
| converse(top) = join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_70,X_69)),converse(join(X_69,X_70))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
converse(top) = join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_70,X_69),converse(complement(converse(join(X_70,X_69)))))) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))) = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))),
inference(subst,[],[refute_0_333:[bind(A,$fot(X_70)),bind(B,$fot(X_69)),bind(C,$fot(converse(complement(converse(join(X_69,X_70))))))]]) ).
cnf(refute_0_649,plain,
( converse(top) != join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70)))))
| join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))) != join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))
| converse(top) = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))) ),[0],$fot(join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))))]]) ).
cnf(refute_0_650,plain,
( converse(top) != join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70)))))
| converse(top) = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70))))),join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
converse(top) = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_70,X_69),converse(complement(converse(join(X_69,X_70)))))) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
converse(join(converse(top),top)) = converse(join(top,converse(top))),
inference(subst,[],[refute_0_630:[bind(X_13,$fot(top)),bind(X_14,$fot(converse(top)))]]) ).
cnf(refute_0_653,plain,
join(top,join(top,X_75)) = join(join(top,top),X_75),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(top)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_654,plain,
( join(top,join(top,X_75)) != join(join(top,top),X_75)
| join(top,top) != top
| join(top,join(top,X_75)) = join(top,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,X_75)),join(join(top,top),X_75)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_655,plain,
( join(top,join(top,X_75)) != join(join(top,top),X_75)
| join(top,join(top,X_75)) = join(top,X_75) ),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_388,refute_0_654]) ).
cnf(refute_0_656,plain,
join(top,join(top,X_75)) = join(top,X_75),
inference(resolve,[$cnf( $equal(join(top,join(top,X_75)),join(join(top,top),X_75)) )],[refute_0_653,refute_0_655]) ).
cnf(refute_0_657,plain,
join(top,join(top,converse(complement(converse(top))))) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_656:[bind(X_75,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_658,plain,
converse(top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(top))]]) ).
cnf(refute_0_659,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_0_660,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(complement(converse(top))))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(top,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = join(top,converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_662,plain,
( join(top,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = join(top,converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(top,converse(top)) = join(top,converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(top,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) )],[refute_0_657,refute_0_662]) ).
cnf(refute_0_664,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(top,converse(top)) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(top))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_665,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_660,refute_0_664]) ).
cnf(refute_0_666,plain,
join(top,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(top))))) )],[refute_0_663,refute_0_665]) ).
cnf(refute_0_667,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| join(top,converse(top)) != converse(top)
| converse(join(converse(top),top)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_668,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| converse(join(converse(top),top)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
converse(join(converse(top),top)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_652,refute_0_668]) ).
cnf(refute_0_670,plain,
converse(join(converse(top),top)) = join(top,converse(top)),
inference(subst,[],[refute_0_635:[bind(A,$fot(top)),bind(X_14,$fot(top))]]) ).
cnf(refute_0_671,plain,
( converse(join(converse(top),top)) != join(top,converse(top))
| join(top,converse(top)) != converse(top)
| converse(join(converse(top),top)) = converse(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(top),top)))),bind(Y,$fot(join(top,converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_672,plain,
( join(top,converse(top)) != converse(top)
| converse(join(converse(top),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),join(top,converse(top))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
converse(join(converse(top),top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_666,refute_0_672]) ).
cnf(refute_0_674,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(join(converse(top),top)) != converse(top)
| converse(top) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_675,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(top) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(top)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
converse(converse(top)) = top,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(top))]]) ).
cnf(refute_0_677,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_678,plain,
( converse(top) != converse(converse(top))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(converse(top),converse(converse(top))) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) )],[refute_0_669,refute_0_679]) ).
cnf(refute_0_681,plain,
( converse(top) != join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))
| converse(top) != top
| top = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_682,plain,
( converse(top) != join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))
| top = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
top = join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_70,join(X_69,converse(complement(converse(join(X_69,X_70))))))) )],[refute_0_651,refute_0_682]) ).
cnf(refute_0_684,plain,
top = join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))),
inference(subst,[],[refute_0_683:[bind(X_69,$fot(X_133)),bind(X_70,$fot(X_13))]]) ).
cnf(refute_0_685,plain,
( top != join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))
| join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))))]]) ).
cnf(refute_0_686,plain,
join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
( converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))
| join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))) != top
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_688,plain,
( converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))),top) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))) )],[refute_0_631,refute_0_688]) ).
cnf(refute_0_690,plain,
converse(join(X_13,converse(A))) = join(converse(X_13),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_13)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_691,plain,
( converse(converse(A)) != A
| converse(join(X_13,converse(A))) != join(converse(X_13),converse(converse(A)))
| converse(join(X_13,converse(A))) = join(converse(X_13),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_13,converse(A))),join(converse(X_13),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_692,plain,
( converse(join(X_13,converse(A))) != join(converse(X_13),converse(converse(A)))
| converse(join(X_13,converse(A))) = join(converse(X_13),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_691]) ).
cnf(refute_0_693,plain,
converse(join(X_13,converse(A))) = join(converse(X_13),A),
inference(resolve,[$cnf( $equal(converse(join(X_13,converse(A))),join(converse(X_13),converse(converse(A)))) )],[refute_0_690,refute_0_692]) ).
cnf(refute_0_694,plain,
converse(join(join(X_73,X_74),converse(A))) = join(converse(join(X_73,X_74)),A),
inference(subst,[],[refute_0_693:[bind(X_13,$fot(join(X_73,X_74)))]]) ).
cnf(refute_0_695,plain,
join(X_73,join(X_74,converse(A))) = join(join(X_73,X_74),converse(A)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_73)),bind(B,$fot(X_74)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_696,plain,
( join(X_73,join(X_74,converse(A))) != join(join(X_73,X_74),converse(A))
| join(join(X_73,X_74),converse(A)) = join(X_73,join(X_74,converse(A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,join(X_74,converse(A))))),bind(Y,$fot(join(join(X_73,X_74),converse(A))))]]) ).
cnf(refute_0_697,plain,
join(join(X_73,X_74),converse(A)) = join(X_73,join(X_74,converse(A))),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,converse(A))),join(join(X_73,X_74),converse(A))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
( converse(join(join(X_73,X_74),converse(A))) != join(converse(join(X_73,X_74)),A)
| join(join(X_73,X_74),converse(A)) != join(X_73,join(X_74,converse(A)))
| converse(join(X_73,join(X_74,converse(A)))) = join(converse(join(X_73,X_74)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_73,X_74),converse(A))),join(converse(join(X_73,X_74)),A)) ),[0,0],$fot(join(X_73,join(X_74,converse(A))))]]) ).
cnf(refute_0_699,plain,
( converse(join(join(X_73,X_74),converse(A))) != join(converse(join(X_73,X_74)),A)
| converse(join(X_73,join(X_74,converse(A)))) = join(converse(join(X_73,X_74)),A) ),
inference(resolve,[$cnf( $equal(join(join(X_73,X_74),converse(A)),join(X_73,join(X_74,converse(A)))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
converse(join(X_73,join(X_74,converse(A)))) = join(converse(join(X_73,X_74)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_73,X_74),converse(A))),join(converse(join(X_73,X_74)),A)) )],[refute_0_694,refute_0_699]) ).
cnf(refute_0_701,plain,
converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))) = join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))),
inference(subst,[],[refute_0_700:[bind(A,$fot(complement(converse(join(X_133,X_13))))),bind(X_73,$fot(X_13)),bind(X_74,$fot(X_133))]]) ).
cnf(refute_0_702,plain,
( converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))) != join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)))),bind(Y,$fot(converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))))),bind(Z,$fot(join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))))]]) ).
cnf(refute_0_703,plain,
( converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))) != join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13)))))))) )],[refute_0_631,refute_0_702]) ).
cnf(refute_0_704,plain,
converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) = join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))),
inference(resolve,[$cnf( $equal(converse(join(X_13,join(X_133,converse(complement(converse(join(X_133,X_13))))))),join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))) )],[refute_0_701,refute_0_703]) ).
cnf(refute_0_705,plain,
( converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(top)
| converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),converse(top)) ),[0],$fot(join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))))]]) ).
cnf(refute_0_706,plain,
( converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(top)
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
( converse(top) != top
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) != converse(top)
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_708,plain,
( join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) != converse(top)
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_707]) ).
cnf(refute_0_709,plain,
( converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)) != converse(top)
| join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))),converse(top)) )],[refute_0_706,refute_0_708]) ).
cnf(refute_0_710,plain,
join(converse(join(X_13,X_133)),complement(converse(join(X_133,X_13)))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(X_133,converse(complement(converse(join(X_133,X_13))))),X_13)),converse(top)) )],[refute_0_689,refute_0_709]) ).
cnf(refute_0_711,plain,
join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) = top,
inference(subst,[],[refute_0_710:[bind(X_13,$fot(join(converse(complement(converse(X_270))),X_75))),bind(X_133,$fot(X_270))]]) ).
cnf(refute_0_712,plain,
join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(join(X_73,converse(complement(converse(X_73)))),X_75),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_73)),bind(B,$fot(converse(complement(converse(X_73))))),bind(C,$fot(X_75))]]) ).
cnf(refute_0_713,plain,
converse(top) = join(X_73,converse(complement(converse(X_73)))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(X_73))]]) ).
cnf(refute_0_714,plain,
( converse(top) != join(X_73,converse(complement(converse(X_73))))
| join(X_73,converse(complement(converse(X_73)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_73,converse(complement(converse(X_73))))))]]) ).
cnf(refute_0_715,plain,
join(X_73,converse(complement(converse(X_73)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_73,converse(complement(converse(X_73))))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
( join(X_73,converse(complement(converse(X_73)))) != converse(top)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(join(X_73,converse(complement(converse(X_73)))),X_75)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(converse(top),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),join(join(X_73,converse(complement(converse(X_73)))),X_75)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_717,plain,
( join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(join(X_73,converse(complement(converse(X_73)))),X_75)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(converse(top),X_75) ),
inference(resolve,[$cnf( $equal(join(X_73,converse(complement(converse(X_73)))),converse(top)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(converse(top),X_75),
inference(resolve,[$cnf( $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),join(join(X_73,converse(complement(converse(X_73)))),X_75)) )],[refute_0_712,refute_0_717]) ).
cnf(refute_0_719,plain,
join(converse(top),X_75) = join(converse(top),X_75),
introduced(tautology,[refl,[$fot(join(converse(top),X_75))]]) ).
cnf(refute_0_720,plain,
( converse(top) != top
| join(converse(top),X_75) != join(converse(top),X_75)
| join(converse(top),X_75) = join(top,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_75),join(converse(top),X_75)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_721,plain,
( converse(top) != top
| join(converse(top),X_75) = join(top,X_75) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_75),join(converse(top),X_75)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
join(converse(top),X_75) = join(top,X_75),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_721]) ).
cnf(refute_0_723,plain,
( join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(converse(top),X_75)
| join(converse(top),X_75) != join(top,X_75)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(top,X_75) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),join(top,X_75)) ),[0],$fot(join(converse(top),X_75))]]) ).
cnf(refute_0_724,plain,
( join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(converse(top),X_75)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(top,X_75) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_75),join(top,X_75)) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
join(X_73,join(converse(complement(converse(X_73))),X_75)) = join(top,X_75),
inference(resolve,[$cnf( $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),join(converse(top),X_75)) )],[refute_0_718,refute_0_724]) ).
cnf(refute_0_726,plain,
join(top,join(top,X_77)) = join(top,X_77),
inference(subst,[],[refute_0_656:[bind(X_75,$fot(X_77))]]) ).
cnf(refute_0_727,plain,
join(X_77,top) = join(top,X_77),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_77)),bind(B,$fot(top))]]) ).
cnf(refute_0_728,plain,
( join(X_77,top) != join(top,X_77)
| join(top,X_77) = join(X_77,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_77,top))),bind(Y,$fot(join(top,X_77)))]]) ).
cnf(refute_0_729,plain,
join(top,X_77) = join(X_77,top),
inference(resolve,[$cnf( $equal(join(X_77,top),join(top,X_77)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
( join(top,X_77) != join(X_77,top)
| join(top,join(top,X_77)) != join(top,X_77)
| join(top,join(X_77,top)) = join(top,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,X_77)),join(top,X_77)) ),[0,1],$fot(join(X_77,top))]]) ).
cnf(refute_0_731,plain,
( join(top,join(top,X_77)) != join(top,X_77)
| join(top,join(X_77,top)) = join(top,X_77) ),
inference(resolve,[$cnf( $equal(join(top,X_77),join(X_77,top)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
join(top,join(X_77,top)) = join(top,X_77),
inference(resolve,[$cnf( $equal(join(top,join(top,X_77)),join(top,X_77)) )],[refute_0_726,refute_0_731]) ).
cnf(refute_0_733,plain,
join(X_57,top) = join(meet(join(X_57,top),meet(zero,X_57)),complement(join(meet(zero,X_57),complement(join(X_57,top))))),
inference(subst,[],[refute_0_305:[bind(X_34,$fot(join(X_57,top))),bind(X_35,$fot(meet(zero,X_57)))]]) ).
cnf(refute_0_734,plain,
zero = join(meet(zero,X_56),complement(join(X_56,complement(zero)))),
inference(subst,[],[refute_0_305:[bind(X_34,$fot(zero)),bind(X_35,$fot(X_56))]]) ).
cnf(refute_0_735,plain,
( complement(zero) != top
| zero != join(meet(zero,X_56),complement(join(X_56,complement(zero))))
| zero = join(meet(zero,X_56),complement(join(X_56,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_56),complement(join(X_56,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_736,plain,
( zero != join(meet(zero,X_56),complement(join(X_56,complement(zero))))
| zero = join(meet(zero,X_56),complement(join(X_56,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_735]) ).
cnf(refute_0_737,plain,
zero = join(meet(zero,X_56),complement(join(X_56,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_56),complement(join(X_56,complement(zero))))) )],[refute_0_734,refute_0_736]) ).
cnf(refute_0_738,plain,
zero = join(meet(zero,X_57),complement(join(X_57,top))),
inference(subst,[],[refute_0_737:[bind(X_56,$fot(X_57))]]) ).
cnf(refute_0_739,plain,
( zero != join(meet(zero,X_57),complement(join(X_57,top)))
| join(meet(zero,X_57),complement(join(X_57,top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(zero,X_57),complement(join(X_57,top)))))]]) ).
cnf(refute_0_740,plain,
join(meet(zero,X_57),complement(join(X_57,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_57),complement(join(X_57,top)))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
( join(X_57,top) != join(meet(join(X_57,top),meet(zero,X_57)),complement(join(meet(zero,X_57),complement(join(X_57,top)))))
| join(meet(zero,X_57),complement(join(X_57,top))) != zero
| join(X_57,top) = join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_57,top),join(meet(join(X_57,top),meet(zero,X_57)),complement(join(meet(zero,X_57),complement(join(X_57,top)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_742,plain,
( join(X_57,top) != join(meet(join(X_57,top),meet(zero,X_57)),complement(join(meet(zero,X_57),complement(join(X_57,top)))))
| join(X_57,top) = join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_57),complement(join(X_57,top))),zero) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(X_57,top) = join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)),
inference(resolve,[$cnf( $equal(join(X_57,top),join(meet(join(X_57,top),meet(zero,X_57)),complement(join(meet(zero,X_57),complement(join(X_57,top)))))) )],[refute_0_733,refute_0_742]) ).
cnf(refute_0_744,plain,
join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) = join(complement(zero),meet(join(X_57,top),meet(zero,X_57))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(X_57,top),meet(zero,X_57))))]]) ).
cnf(refute_0_745,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) != join(complement(zero),meet(join(X_57,top),meet(zero,X_57)))
| join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(X_57,top),meet(zero,X_57))),join(complement(zero),meet(join(X_57,top),meet(zero,X_57)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_746,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_57,top),meet(zero,X_57))),join(complement(zero),meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) = join(top,meet(join(X_57,top),meet(zero,X_57))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_746]) ).
cnf(refute_0_748,plain,
join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) = join(complement(zero),meet(join(X_57,top),meet(zero,X_57))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(zero))),bind(B,$fot(meet(join(X_57,top),meet(zero,X_57))))]]) ).
cnf(refute_0_749,plain,
( join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) != join(complement(zero),meet(join(X_57,top),meet(zero,X_57)))
| join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(join(X_57,top),meet(zero,X_57))))),bind(Z,$fot(join(top,meet(join(X_57,top),meet(zero,X_57)))))]]) ).
cnf(refute_0_750,plain,
( join(complement(zero),meet(join(X_57,top),meet(zero,X_57))) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)),join(complement(zero),meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) = join(top,meet(join(X_57,top),meet(zero,X_57))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_57,top),meet(zero,X_57))),join(top,meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
( join(X_57,top) != join(meet(join(X_57,top),meet(zero,X_57)),complement(zero))
| join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| join(X_57,top) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_57,top),join(top,meet(join(X_57,top),meet(zero,X_57)))) ),[0],$fot(join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)))]]) ).
cnf(refute_0_753,plain,
( join(X_57,top) != join(meet(join(X_57,top),meet(zero,X_57)),complement(zero))
| join(X_57,top) = join(top,meet(join(X_57,top),meet(zero,X_57))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_57,top),meet(zero,X_57)),complement(zero)),join(top,meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
join(X_57,top) = join(top,meet(join(X_57,top),meet(zero,X_57))),
inference(resolve,[$cnf( $equal(join(X_57,top),join(meet(join(X_57,top),meet(zero,X_57)),complement(zero))) )],[refute_0_743,refute_0_753]) ).
cnf(refute_0_755,plain,
meet(zero,B) = complement(join(complement(zero),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(zero))]]) ).
cnf(refute_0_756,plain,
( complement(zero) != top
| meet(zero,B) != complement(join(complement(zero),complement(B)))
| meet(zero,B) = complement(join(top,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,B),complement(join(complement(zero),complement(B)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_757,plain,
( meet(zero,B) != complement(join(complement(zero),complement(B)))
| meet(zero,B) = complement(join(top,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_756]) ).
cnf(refute_0_758,plain,
meet(zero,B) = complement(join(top,complement(B))),
inference(resolve,[$cnf( $equal(meet(zero,B),complement(join(complement(zero),complement(B)))) )],[refute_0_755,refute_0_757]) ).
cnf(refute_0_759,plain,
top = join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_760,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_761,plain,
( top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_63,refute_0_760]) ).
cnf(refute_0_762,plain,
top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_759,refute_0_761]) ).
cnf(refute_0_763,plain,
join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(subst,[],[refute_0_333:[bind(A,$fot(complement(X_6))),bind(B,$fot(complement(X_7))),bind(C,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_764,plain,
( join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))
| top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(join(complement(X_6),join(complement(X_7),meet(X_6,X_7))))]]) ).
cnf(refute_0_765,plain,
( top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_762,refute_0_765]) ).
cnf(refute_0_767,plain,
top = join(complement(X_94),join(complement(X_94),meet(X_94,X_94))),
inference(subst,[],[refute_0_766:[bind(X_6,$fot(X_94)),bind(X_7,$fot(X_94))]]) ).
cnf(refute_0_768,plain,
join(zero,join(zero,meet(X_34,X_34))) = join(zero,meet(X_34,X_34)),
inference(subst,[],[refute_0_407:[bind(X_75,$fot(meet(X_34,X_34)))]]) ).
cnf(refute_0_769,plain,
( join(zero,join(zero,meet(X_34,X_34))) != join(zero,meet(X_34,X_34))
| join(zero,meet(X_34,X_34)) != X_34
| join(zero,X_34) = join(zero,meet(X_34,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_34,X_34))),join(zero,meet(X_34,X_34))) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_770,plain,
( join(zero,join(zero,meet(X_34,X_34))) != join(zero,meet(X_34,X_34))
| join(zero,X_34) = join(zero,meet(X_34,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,X_34)),X_34) )],[refute_0_544,refute_0_769]) ).
cnf(refute_0_771,plain,
join(zero,X_34) = join(zero,meet(X_34,X_34)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_34,X_34))),join(zero,meet(X_34,X_34))) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
( join(zero,X_34) != X_34
| join(zero,X_34) != join(zero,meet(X_34,X_34))
| X_34 = join(zero,meet(X_34,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_34),join(zero,meet(X_34,X_34))) ),[0],$fot(X_34)]]) ).
cnf(refute_0_773,plain,
( join(zero,X_34) != join(zero,meet(X_34,X_34))
| X_34 = join(zero,meet(X_34,X_34)) ),
inference(resolve,[$cnf( $equal(join(zero,X_34),X_34) )],[refute_0_476,refute_0_772]) ).
cnf(refute_0_774,plain,
join(zero,meet(X_34,X_34)) = meet(X_34,X_34),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(X_34,X_34)))]]) ).
cnf(refute_0_775,plain,
( X_34 != join(zero,meet(X_34,X_34))
| join(zero,meet(X_34,X_34)) != meet(X_34,X_34)
| X_34 = meet(X_34,X_34) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,meet(X_34,X_34)) ),[0],$fot(join(zero,meet(X_34,X_34)))]]) ).
cnf(refute_0_776,plain,
( X_34 != join(zero,meet(X_34,X_34))
| X_34 = meet(X_34,X_34) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,X_34)),meet(X_34,X_34)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
( join(zero,X_34) != join(zero,meet(X_34,X_34))
| X_34 = meet(X_34,X_34) ),
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,X_34))) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
X_34 = meet(X_34,X_34),
inference(resolve,[$cnf( $equal(join(zero,X_34),join(zero,meet(X_34,X_34))) )],[refute_0_771,refute_0_777]) ).
cnf(refute_0_779,plain,
X_94 = meet(X_94,X_94),
inference(subst,[],[refute_0_778:[bind(X_34,$fot(X_94))]]) ).
cnf(refute_0_780,plain,
( X_94 != meet(X_94,X_94)
| meet(X_94,X_94) = X_94 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_94)),bind(Y,$fot(meet(X_94,X_94)))]]) ).
cnf(refute_0_781,plain,
meet(X_94,X_94) = X_94,
inference(resolve,[$cnf( $equal(X_94,meet(X_94,X_94)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
( meet(X_94,X_94) != X_94
| top != join(complement(X_94),join(complement(X_94),meet(X_94,X_94)))
| top = join(complement(X_94),join(complement(X_94),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_94),join(complement(X_94),meet(X_94,X_94)))) ),[1,1,1],$fot(X_94)]]) ).
cnf(refute_0_783,plain,
( top != join(complement(X_94),join(complement(X_94),meet(X_94,X_94)))
| top = join(complement(X_94),join(complement(X_94),X_94)) ),
inference(resolve,[$cnf( $equal(meet(X_94,X_94),X_94) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
top = join(complement(X_94),join(complement(X_94),X_94)),
inference(resolve,[$cnf( $equal(top,join(complement(X_94),join(complement(X_94),meet(X_94,X_94)))) )],[refute_0_767,refute_0_783]) ).
cnf(refute_0_785,plain,
join(X_73,join(complement(X_73),X_75)) = join(join(X_73,complement(X_73)),X_75),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_73)),bind(B,$fot(complement(X_73))),bind(C,$fot(X_75))]]) ).
cnf(refute_0_786,plain,
top = join(X_73,complement(X_73)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_73))]]) ).
cnf(refute_0_787,plain,
( top != join(X_73,complement(X_73))
| join(X_73,complement(X_73)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_73,complement(X_73))))]]) ).
cnf(refute_0_788,plain,
join(X_73,complement(X_73)) = top,
inference(resolve,[$cnf( $equal(top,join(X_73,complement(X_73))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
( join(X_73,complement(X_73)) != top
| join(X_73,join(complement(X_73),X_75)) != join(join(X_73,complement(X_73)),X_75)
| join(X_73,join(complement(X_73),X_75)) = join(top,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,join(complement(X_73),X_75)),join(join(X_73,complement(X_73)),X_75)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_790,plain,
( join(X_73,join(complement(X_73),X_75)) != join(join(X_73,complement(X_73)),X_75)
| join(X_73,join(complement(X_73),X_75)) = join(top,X_75) ),
inference(resolve,[$cnf( $equal(join(X_73,complement(X_73)),top) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
join(X_73,join(complement(X_73),X_75)) = join(top,X_75),
inference(resolve,[$cnf( $equal(join(X_73,join(complement(X_73),X_75)),join(join(X_73,complement(X_73)),X_75)) )],[refute_0_785,refute_0_790]) ).
cnf(refute_0_792,plain,
join(X_79,join(complement(X_79),X_80)) = join(top,X_80),
inference(subst,[],[refute_0_791:[bind(X_73,$fot(X_79)),bind(X_75,$fot(X_80))]]) ).
cnf(refute_0_793,plain,
join(X_80,complement(X_79)) = join(complement(X_79),X_80),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_80)),bind(B,$fot(complement(X_79)))]]) ).
cnf(refute_0_794,plain,
( join(X_80,complement(X_79)) != join(complement(X_79),X_80)
| join(complement(X_79),X_80) = join(X_80,complement(X_79)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_80,complement(X_79)))),bind(Y,$fot(join(complement(X_79),X_80)))]]) ).
cnf(refute_0_795,plain,
join(complement(X_79),X_80) = join(X_80,complement(X_79)),
inference(resolve,[$cnf( $equal(join(X_80,complement(X_79)),join(complement(X_79),X_80)) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( join(X_79,join(complement(X_79),X_80)) != join(top,X_80)
| join(complement(X_79),X_80) != join(X_80,complement(X_79))
| join(X_79,join(X_80,complement(X_79))) = join(top,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_79,join(complement(X_79),X_80)),join(top,X_80)) ),[0,1],$fot(join(X_80,complement(X_79)))]]) ).
cnf(refute_0_797,plain,
( join(X_79,join(complement(X_79),X_80)) != join(top,X_80)
| join(X_79,join(X_80,complement(X_79))) = join(top,X_80) ),
inference(resolve,[$cnf( $equal(join(complement(X_79),X_80),join(X_80,complement(X_79))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
join(X_79,join(X_80,complement(X_79))) = join(top,X_80),
inference(resolve,[$cnf( $equal(join(X_79,join(complement(X_79),X_80)),join(top,X_80)) )],[refute_0_792,refute_0_797]) ).
cnf(refute_0_799,plain,
join(X_94,join(complement(X_94),complement(X_94))) = join(top,complement(X_94)),
inference(subst,[],[refute_0_798:[bind(X_79,$fot(X_94)),bind(X_80,$fot(complement(X_94)))]]) ).
cnf(refute_0_800,plain,
join(X_73,join(X_74,X_75)) = join(join(X_73,X_74),X_75),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_73)),bind(B,$fot(X_74)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_801,plain,
join(X_74,X_73) = join(X_73,X_74),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_74)),bind(B,$fot(X_73))]]) ).
cnf(refute_0_802,plain,
( join(X_74,X_73) != join(X_73,X_74)
| join(X_73,X_74) = join(X_74,X_73) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_74,X_73))),bind(Y,$fot(join(X_73,X_74)))]]) ).
cnf(refute_0_803,plain,
join(X_73,X_74) = join(X_74,X_73),
inference(resolve,[$cnf( $equal(join(X_74,X_73),join(X_73,X_74)) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( join(X_73,X_74) != join(X_74,X_73)
| join(X_73,join(X_74,X_75)) != join(join(X_73,X_74),X_75)
| join(X_73,join(X_74,X_75)) = join(join(X_74,X_73),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(join(X_73,X_74),X_75)) ),[1,0],$fot(join(X_74,X_73))]]) ).
cnf(refute_0_805,plain,
( join(X_73,join(X_74,X_75)) != join(join(X_73,X_74),X_75)
| join(X_73,join(X_74,X_75)) = join(join(X_74,X_73),X_75) ),
inference(resolve,[$cnf( $equal(join(X_73,X_74),join(X_74,X_73)) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
join(X_73,join(X_74,X_75)) = join(join(X_74,X_73),X_75),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(join(X_73,X_74),X_75)) )],[refute_0_800,refute_0_805]) ).
cnf(refute_0_807,plain,
join(join(X_74,X_73),X_75) = join(X_74,join(X_73,X_75)),
inference(subst,[],[refute_0_333:[bind(A,$fot(X_74)),bind(B,$fot(X_73)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_808,plain,
( join(X_73,join(X_74,X_75)) != join(join(X_74,X_73),X_75)
| join(join(X_74,X_73),X_75) != join(X_74,join(X_73,X_75))
| join(X_73,join(X_74,X_75)) = join(X_74,join(X_73,X_75)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_73,join(X_74,X_75)),join(X_74,join(X_73,X_75))) ),[0],$fot(join(join(X_74,X_73),X_75))]]) ).
cnf(refute_0_809,plain,
( join(X_73,join(X_74,X_75)) != join(join(X_74,X_73),X_75)
| join(X_73,join(X_74,X_75)) = join(X_74,join(X_73,X_75)) ),
inference(resolve,[$cnf( $equal(join(join(X_74,X_73),X_75),join(X_74,join(X_73,X_75))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
join(X_73,join(X_74,X_75)) = join(X_74,join(X_73,X_75)),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(join(X_74,X_73),X_75)) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
( join(X_73,join(X_74,X_75)) != join(X_74,join(X_73,X_75))
| join(X_74,join(X_73,X_75)) = join(X_73,join(X_74,X_75)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,join(X_74,X_75)))),bind(Y,$fot(join(X_74,join(X_73,X_75))))]]) ).
cnf(refute_0_812,plain,
join(X_74,join(X_73,X_75)) = join(X_73,join(X_74,X_75)),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(X_74,join(X_73,X_75))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
join(complement(X_94),join(X_94,complement(X_94))) = join(X_94,join(complement(X_94),complement(X_94))),
inference(subst,[],[refute_0_812:[bind(X_73,$fot(X_94)),bind(X_74,$fot(complement(X_94))),bind(X_75,$fot(complement(X_94)))]]) ).
cnf(refute_0_814,plain,
( join(X_94,join(complement(X_94),complement(X_94))) != join(top,complement(X_94))
| join(complement(X_94),join(X_94,complement(X_94))) != join(X_94,join(complement(X_94),complement(X_94)))
| join(complement(X_94),join(X_94,complement(X_94))) = join(top,complement(X_94)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_94),join(X_94,complement(X_94))))),bind(Y,$fot(join(X_94,join(complement(X_94),complement(X_94))))),bind(Z,$fot(join(top,complement(X_94))))]]) ).
cnf(refute_0_815,plain,
( join(X_94,join(complement(X_94),complement(X_94))) != join(top,complement(X_94))
| join(complement(X_94),join(X_94,complement(X_94))) = join(top,complement(X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(X_94),join(X_94,complement(X_94))),join(X_94,join(complement(X_94),complement(X_94)))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
join(complement(X_94),join(X_94,complement(X_94))) = join(top,complement(X_94)),
inference(resolve,[$cnf( $equal(join(X_94,join(complement(X_94),complement(X_94))),join(top,complement(X_94))) )],[refute_0_799,refute_0_815]) ).
cnf(refute_0_817,plain,
join(X_75,X_74) = join(X_74,X_75),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_75)),bind(B,$fot(X_74))]]) ).
cnf(refute_0_818,plain,
( join(X_75,X_74) != join(X_74,X_75)
| join(X_74,X_75) = join(X_75,X_74) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_75,X_74))),bind(Y,$fot(join(X_74,X_75)))]]) ).
cnf(refute_0_819,plain,
join(X_74,X_75) = join(X_75,X_74),
inference(resolve,[$cnf( $equal(join(X_75,X_74),join(X_74,X_75)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( join(X_73,join(X_74,X_75)) != join(join(X_73,X_74),X_75)
| join(X_74,X_75) != join(X_75,X_74)
| join(X_73,join(X_75,X_74)) = join(join(X_73,X_74),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(join(X_73,X_74),X_75)) ),[0,1],$fot(join(X_75,X_74))]]) ).
cnf(refute_0_821,plain,
( join(X_73,join(X_74,X_75)) != join(join(X_73,X_74),X_75)
| join(X_73,join(X_75,X_74)) = join(join(X_73,X_74),X_75) ),
inference(resolve,[$cnf( $equal(join(X_74,X_75),join(X_75,X_74)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
join(X_73,join(X_75,X_74)) = join(join(X_73,X_74),X_75),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,X_75)),join(join(X_73,X_74),X_75)) )],[refute_0_800,refute_0_821]) ).
cnf(refute_0_823,plain,
join(join(X_73,X_74),X_75) = join(X_73,join(X_74,X_75)),
inference(subst,[],[refute_0_333:[bind(A,$fot(X_73)),bind(B,$fot(X_74)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_824,plain,
( join(X_73,join(X_75,X_74)) != join(join(X_73,X_74),X_75)
| join(join(X_73,X_74),X_75) != join(X_73,join(X_74,X_75))
| join(X_73,join(X_75,X_74)) = join(X_73,join(X_74,X_75)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_73,join(X_75,X_74)),join(X_73,join(X_74,X_75))) ),[0],$fot(join(join(X_73,X_74),X_75))]]) ).
cnf(refute_0_825,plain,
( join(X_73,join(X_75,X_74)) != join(join(X_73,X_74),X_75)
| join(X_73,join(X_75,X_74)) = join(X_73,join(X_74,X_75)) ),
inference(resolve,[$cnf( $equal(join(join(X_73,X_74),X_75),join(X_73,join(X_74,X_75))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
join(X_73,join(X_75,X_74)) = join(X_73,join(X_74,X_75)),
inference(resolve,[$cnf( $equal(join(X_73,join(X_75,X_74)),join(join(X_73,X_74),X_75)) )],[refute_0_822,refute_0_825]) ).
cnf(refute_0_827,plain,
( join(X_73,join(X_75,X_74)) != join(X_73,join(X_74,X_75))
| join(X_73,join(X_74,X_75)) = join(X_73,join(X_75,X_74)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,join(X_75,X_74)))),bind(Y,$fot(join(X_73,join(X_74,X_75))))]]) ).
cnf(refute_0_828,plain,
join(X_73,join(X_74,X_75)) = join(X_73,join(X_75,X_74)),
inference(resolve,[$cnf( $equal(join(X_73,join(X_75,X_74)),join(X_73,join(X_74,X_75))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
join(complement(X_94),join(complement(X_94),X_94)) = join(complement(X_94),join(X_94,complement(X_94))),
inference(subst,[],[refute_0_828:[bind(X_73,$fot(complement(X_94))),bind(X_74,$fot(complement(X_94))),bind(X_75,$fot(X_94))]]) ).
cnf(refute_0_830,plain,
( join(complement(X_94),join(X_94,complement(X_94))) != join(top,complement(X_94))
| join(complement(X_94),join(complement(X_94),X_94)) != join(complement(X_94),join(X_94,complement(X_94)))
| join(complement(X_94),join(complement(X_94),X_94)) = join(top,complement(X_94)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_94),join(complement(X_94),X_94)))),bind(Y,$fot(join(complement(X_94),join(X_94,complement(X_94))))),bind(Z,$fot(join(top,complement(X_94))))]]) ).
cnf(refute_0_831,plain,
( join(complement(X_94),join(X_94,complement(X_94))) != join(top,complement(X_94))
| join(complement(X_94),join(complement(X_94),X_94)) = join(top,complement(X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(X_94),join(complement(X_94),X_94)),join(complement(X_94),join(X_94,complement(X_94)))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(complement(X_94),join(complement(X_94),X_94)) = join(top,complement(X_94)),
inference(resolve,[$cnf( $equal(join(complement(X_94),join(X_94,complement(X_94))),join(top,complement(X_94))) )],[refute_0_816,refute_0_831]) ).
cnf(refute_0_833,plain,
( join(complement(X_94),join(complement(X_94),X_94)) != join(top,complement(X_94))
| top != join(complement(X_94),join(complement(X_94),X_94))
| top = join(top,complement(X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_94),join(complement(X_94),X_94))) ),[1],$fot(join(top,complement(X_94)))]]) ).
cnf(refute_0_834,plain,
( top != join(complement(X_94),join(complement(X_94),X_94))
| top = join(top,complement(X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(X_94),join(complement(X_94),X_94)),join(top,complement(X_94))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
top = join(top,complement(X_94)),
inference(resolve,[$cnf( $equal(top,join(complement(X_94),join(complement(X_94),X_94))) )],[refute_0_784,refute_0_834]) ).
cnf(refute_0_836,plain,
( top != join(top,complement(X_94))
| join(top,complement(X_94)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_94))))]]) ).
cnf(refute_0_837,plain,
join(top,complement(X_94)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_94))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
join(top,complement(B)) = top,
inference(subst,[],[refute_0_837:[bind(X_94,$fot(B))]]) ).
cnf(refute_0_839,plain,
complement(join(top,complement(B))) = complement(join(top,complement(B))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(B))))]]) ).
cnf(refute_0_840,plain,
( complement(join(top,complement(B))) != complement(join(top,complement(B)))
| join(top,complement(B)) != top
| complement(join(top,complement(B))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_841,plain,
( join(top,complement(B)) != top
| complement(join(top,complement(B))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
complement(join(top,complement(B))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(B)),top) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
( complement(join(top,complement(B))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(B))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(top,complement(B))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_844,plain,
( complement(top) != zero
| complement(join(top,complement(B))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(top)) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
complement(join(top,complement(B))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_844]) ).
cnf(refute_0_846,plain,
( complement(join(top,complement(B))) != zero
| meet(zero,B) != complement(join(top,complement(B)))
| meet(zero,B) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_847,plain,
( meet(zero,B) != complement(join(top,complement(B)))
| meet(zero,B) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),zero) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
meet(zero,B) = zero,
inference(resolve,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) )],[refute_0_758,refute_0_847]) ).
cnf(refute_0_849,plain,
meet(zero,join(X_57,top)) = zero,
inference(subst,[],[refute_0_848:[bind(B,$fot(join(X_57,top)))]]) ).
cnf(refute_0_850,plain,
meet(join(X_57,top),zero) = meet(zero,join(X_57,top)),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(zero)),bind(X_7,$fot(join(X_57,top)))]]) ).
cnf(refute_0_851,plain,
( meet(join(X_57,top),zero) != meet(zero,join(X_57,top))
| meet(zero,join(X_57,top)) != zero
| meet(join(X_57,top),zero) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(X_57,top),zero))),bind(Y,$fot(meet(zero,join(X_57,top)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_852,plain,
( meet(zero,join(X_57,top)) != zero
| meet(join(X_57,top),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_57,top),zero),meet(zero,join(X_57,top))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
meet(join(X_57,top),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(X_57,top)),zero) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
meet(zero,X_57) = zero,
inference(subst,[],[refute_0_848:[bind(B,$fot(X_57))]]) ).
cnf(refute_0_855,plain,
meet(join(X_57,top),meet(zero,X_57)) = meet(join(X_57,top),meet(zero,X_57)),
introduced(tautology,[refl,[$fot(meet(join(X_57,top),meet(zero,X_57)))]]) ).
cnf(refute_0_856,plain,
( meet(join(X_57,top),meet(zero,X_57)) != meet(join(X_57,top),meet(zero,X_57))
| meet(zero,X_57) != zero
| meet(join(X_57,top),meet(zero,X_57)) = meet(join(X_57,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_57,top),meet(zero,X_57)),meet(join(X_57,top),meet(zero,X_57))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_857,plain,
( meet(zero,X_57) != zero
| meet(join(X_57,top),meet(zero,X_57)) = meet(join(X_57,top),zero) ),
inference(resolve,[$cnf( $equal(meet(join(X_57,top),meet(zero,X_57)),meet(join(X_57,top),meet(zero,X_57))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
meet(join(X_57,top),meet(zero,X_57)) = meet(join(X_57,top),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_57),zero) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
( meet(join(X_57,top),meet(zero,X_57)) != meet(join(X_57,top),zero)
| meet(join(X_57,top),zero) != zero
| meet(join(X_57,top),meet(zero,X_57)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(X_57,top),meet(zero,X_57)))),bind(Y,$fot(meet(join(X_57,top),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_860,plain,
( meet(join(X_57,top),zero) != zero
| meet(join(X_57,top),meet(zero,X_57)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_57,top),meet(zero,X_57)),meet(join(X_57,top),zero)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
meet(join(X_57,top),meet(zero,X_57)) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_57,top),zero),zero) )],[refute_0_853,refute_0_860]) ).
cnf(refute_0_862,plain,
join(top,meet(join(X_57,top),meet(zero,X_57))) = join(top,meet(join(X_57,top),meet(zero,X_57))),
introduced(tautology,[refl,[$fot(join(top,meet(join(X_57,top),meet(zero,X_57))))]]) ).
cnf(refute_0_863,plain,
( join(top,meet(join(X_57,top),meet(zero,X_57))) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| meet(join(X_57,top),meet(zero,X_57)) != zero
| join(top,meet(join(X_57,top),meet(zero,X_57))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(join(X_57,top),meet(zero,X_57))),join(top,meet(join(X_57,top),meet(zero,X_57)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_864,plain,
( meet(join(X_57,top),meet(zero,X_57)) != zero
| join(top,meet(join(X_57,top),meet(zero,X_57))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_57,top),meet(zero,X_57))),join(top,meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(top,meet(join(X_57,top),meet(zero,X_57))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(join(X_57,top),meet(zero,X_57)),zero) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(top,meet(join(X_57,top),meet(zero,X_57))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(join(X_57,top),meet(zero,X_57))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,meet(join(X_57,top),meet(zero,X_57))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_867,plain,
( join(top,zero) != top
| join(top,meet(join(X_57,top),meet(zero,X_57))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_57,top),meet(zero,X_57))),join(top,zero)) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(top,meet(join(X_57,top),meet(zero,X_57))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_359,refute_0_867]) ).
cnf(refute_0_869,plain,
( join(X_57,top) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| join(top,meet(join(X_57,top),meet(zero,X_57))) != top
| join(X_57,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_57,top),top) ),[0],$fot(join(top,meet(join(X_57,top),meet(zero,X_57))))]]) ).
cnf(refute_0_870,plain,
( join(X_57,top) != join(top,meet(join(X_57,top),meet(zero,X_57)))
| join(X_57,top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_57,top),meet(zero,X_57))),top) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(X_57,top) = top,
inference(resolve,[$cnf( $equal(join(X_57,top),join(top,meet(join(X_57,top),meet(zero,X_57)))) )],[refute_0_754,refute_0_870]) ).
cnf(refute_0_872,plain,
join(X_77,top) = top,
inference(subst,[],[refute_0_871:[bind(X_57,$fot(X_77))]]) ).
cnf(refute_0_873,plain,
join(top,join(X_77,top)) = join(top,join(X_77,top)),
introduced(tautology,[refl,[$fot(join(top,join(X_77,top)))]]) ).
cnf(refute_0_874,plain,
( join(X_77,top) != top
| join(top,join(X_77,top)) != join(top,join(X_77,top))
| join(top,join(X_77,top)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(X_77,top)),join(top,join(X_77,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_875,plain,
( join(X_77,top) != top
| join(top,join(X_77,top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(X_77,top)),join(top,join(X_77,top))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
join(top,join(X_77,top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(X_77,top),top) )],[refute_0_872,refute_0_875]) ).
cnf(refute_0_877,plain,
( join(top,join(X_77,top)) != join(top,top)
| join(top,top) != top
| join(top,join(X_77,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(X_77,top)))),bind(Y,$fot(join(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_878,plain,
( join(top,top) != top
| join(top,join(X_77,top)) = top ),
inference(resolve,[$cnf( $equal(join(top,join(X_77,top)),join(top,top)) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
join(top,join(X_77,top)) = top,
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_388,refute_0_878]) ).
cnf(refute_0_880,plain,
( join(top,join(X_77,top)) != join(top,X_77)
| join(top,join(X_77,top)) != top
| top = join(top,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(X_77,top)),join(top,X_77)) ),[0],$fot(top)]]) ).
cnf(refute_0_881,plain,
( join(top,join(X_77,top)) != join(top,X_77)
| top = join(top,X_77) ),
inference(resolve,[$cnf( $equal(join(top,join(X_77,top)),top) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
top = join(top,X_77),
inference(resolve,[$cnf( $equal(join(top,join(X_77,top)),join(top,X_77)) )],[refute_0_732,refute_0_881]) ).
cnf(refute_0_883,plain,
( top != join(top,X_77)
| join(top,X_77) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_77)))]]) ).
cnf(refute_0_884,plain,
join(top,X_77) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_77)) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(top,X_75) = top,
inference(subst,[],[refute_0_884:[bind(X_77,$fot(X_75))]]) ).
cnf(refute_0_886,plain,
( join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(top,X_75)
| join(top,X_75) != top
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),top) ),[0],$fot(join(top,X_75))]]) ).
cnf(refute_0_887,plain,
( join(X_73,join(converse(complement(converse(X_73))),X_75)) != join(top,X_75)
| join(X_73,join(converse(complement(converse(X_73))),X_75)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_75),top) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
join(X_73,join(converse(complement(converse(X_73))),X_75)) = top,
inference(resolve,[$cnf( $equal(join(X_73,join(converse(complement(converse(X_73))),X_75)),join(top,X_75)) )],[refute_0_725,refute_0_887]) ).
cnf(refute_0_889,plain,
join(X_270,join(converse(complement(converse(X_270))),X_75)) = top,
inference(subst,[],[refute_0_888:[bind(X_73,$fot(X_270))]]) ).
cnf(refute_0_890,plain,
( join(X_270,join(converse(complement(converse(X_270))),X_75)) != top
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) != top
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))),top) ),[0,1,0,0],$fot(top)]]) ).
cnf(refute_0_891,plain,
( join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) != top
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = top ),
inference(resolve,[$cnf( $equal(join(X_270,join(converse(complement(converse(X_270))),X_75)),top) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))),top) )],[refute_0_711,refute_0_891]) ).
cnf(refute_0_893,plain,
join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) = join(complement(converse(X_270)),converse(join(X_75,X_270))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(join(complement(converse(X_270)),converse(join(X_75,X_270)))))]]) ).
cnf(refute_0_894,plain,
converse(join(converse(A),join(X_193,X_191))) = join(A,converse(join(X_193,X_191))),
inference(subst,[],[refute_0_635:[bind(X_14,$fot(join(X_193,X_191)))]]) ).
cnf(refute_0_895,plain,
join(A,join(X_73,X_74)) = join(join(X_73,X_74),A),
inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_73,X_74)))]]) ).
cnf(refute_0_896,plain,
join(X_73,join(X_74,A)) = join(join(X_73,X_74),A),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_73)),bind(B,$fot(X_74)),bind(C,$fot(A))]]) ).
cnf(refute_0_897,plain,
( join(X_73,join(X_74,A)) != join(join(X_73,X_74),A)
| join(join(X_73,X_74),A) = join(X_73,join(X_74,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,join(X_74,A)))),bind(Y,$fot(join(join(X_73,X_74),A)))]]) ).
cnf(refute_0_898,plain,
join(join(X_73,X_74),A) = join(X_73,join(X_74,A)),
inference(resolve,[$cnf( $equal(join(X_73,join(X_74,A)),join(join(X_73,X_74),A)) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( join(A,join(X_73,X_74)) != join(join(X_73,X_74),A)
| join(join(X_73,X_74),A) != join(X_73,join(X_74,A))
| join(A,join(X_73,X_74)) = join(X_73,join(X_74,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_73,X_74)),join(X_73,join(X_74,A))) ),[0],$fot(join(join(X_73,X_74),A))]]) ).
cnf(refute_0_900,plain,
( join(A,join(X_73,X_74)) != join(join(X_73,X_74),A)
| join(A,join(X_73,X_74)) = join(X_73,join(X_74,A)) ),
inference(resolve,[$cnf( $equal(join(join(X_73,X_74),A),join(X_73,join(X_74,A))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
join(A,join(X_73,X_74)) = join(X_73,join(X_74,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_73,X_74)),join(join(X_73,X_74),A)) )],[refute_0_895,refute_0_900]) ).
cnf(refute_0_902,plain,
join(X_191,join(converse(A),X_193)) = join(converse(A),join(X_193,X_191)),
inference(subst,[],[refute_0_901:[bind(A,$fot(X_191)),bind(X_73,$fot(converse(A))),bind(X_74,$fot(X_193))]]) ).
cnf(refute_0_903,plain,
( join(X_191,join(converse(A),X_193)) != join(converse(A),join(X_193,X_191))
| join(converse(A),join(X_193,X_191)) = join(X_191,join(converse(A),X_193)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_191,join(converse(A),X_193)))),bind(Y,$fot(join(converse(A),join(X_193,X_191))))]]) ).
cnf(refute_0_904,plain,
join(converse(A),join(X_193,X_191)) = join(X_191,join(converse(A),X_193)),
inference(resolve,[$cnf( $equal(join(X_191,join(converse(A),X_193)),join(converse(A),join(X_193,X_191))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
( converse(join(converse(A),join(X_193,X_191))) != join(A,converse(join(X_193,X_191)))
| join(converse(A),join(X_193,X_191)) != join(X_191,join(converse(A),X_193))
| converse(join(X_191,join(converse(A),X_193))) = join(A,converse(join(X_193,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_193,X_191))),join(A,converse(join(X_193,X_191)))) ),[0,0],$fot(join(X_191,join(converse(A),X_193)))]]) ).
cnf(refute_0_906,plain,
( converse(join(converse(A),join(X_193,X_191))) != join(A,converse(join(X_193,X_191)))
| converse(join(X_191,join(converse(A),X_193))) = join(A,converse(join(X_193,X_191))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(X_193,X_191)),join(X_191,join(converse(A),X_193))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
converse(join(X_191,join(converse(A),X_193))) = join(A,converse(join(X_193,X_191))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_193,X_191))),join(A,converse(join(X_193,X_191)))) )],[refute_0_894,refute_0_906]) ).
cnf(refute_0_908,plain,
converse(join(X_270,join(converse(complement(converse(X_270))),X_75))) = join(complement(converse(X_270)),converse(join(X_75,X_270))),
inference(subst,[],[refute_0_907:[bind(A,$fot(complement(converse(X_270)))),bind(X_191,$fot(X_270)),bind(X_193,$fot(X_75))]]) ).
cnf(refute_0_909,plain,
join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),
introduced(tautology,[refl,[$fot(join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))]]) ).
cnf(refute_0_910,plain,
( converse(join(X_270,join(converse(complement(converse(X_270))),X_75))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) ),[1,1],$fot(join(complement(converse(X_270)),converse(join(X_75,X_270))))]]) ).
cnf(refute_0_911,plain,
( converse(join(X_270,join(converse(complement(converse(X_270))),X_75))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))),
inference(resolve,[$cnf( $equal(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),join(complement(converse(X_270)),converse(join(X_75,X_270)))) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_914,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_915,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_915]) ).
cnf(refute_0_917,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_918,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_918]) ).
cnf(refute_0_920,plain,
join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))]]) ).
cnf(refute_0_921,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_922,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_919,refute_0_922]) ).
cnf(refute_0_924,plain,
( join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))),bind(Y,$fot(join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))),bind(Z,$fot(join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))))]]) ).
cnf(refute_0_925,plain,
( join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))),
inference(resolve,[$cnf( $equal(join(zero,converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))) )],[refute_0_912,refute_0_925]) ).
cnf(refute_0_927,plain,
( join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))
| join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(complement(converse(X_270)),converse(join(X_75,X_270))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))),bind(Y,$fot(join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))))),bind(Z,$fot(join(complement(converse(X_270)),converse(join(X_75,X_270)))))]]) ).
cnf(refute_0_928,plain,
( join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(complement(converse(X_270)),converse(join(X_75,X_270))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270))))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) = join(complement(converse(X_270)),converse(join(X_75,X_270))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(X_270)),converse(join(X_75,X_270)))),join(complement(converse(X_270)),converse(join(X_75,X_270)))) )],[refute_0_893,refute_0_928]) ).
cnf(refute_0_930,plain,
join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))) = join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))]]) ).
cnf(refute_0_931,plain,
converse(join(join(X_70,X_69),converse(A))) = join(converse(join(X_70,X_69)),A),
inference(subst,[],[refute_0_693:[bind(X_13,$fot(join(X_70,X_69)))]]) ).
cnf(refute_0_932,plain,
( converse(join(X_70,X_69)) != converse(join(X_69,X_70))
| converse(join(join(X_70,X_69),converse(A))) != join(converse(join(X_70,X_69)),A)
| converse(join(join(X_70,X_69),converse(A))) = join(converse(join(X_69,X_70)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_70,X_69),converse(A))),join(converse(join(X_70,X_69)),A)) ),[1,0],$fot(converse(join(X_69,X_70)))]]) ).
cnf(refute_0_933,plain,
( converse(join(join(X_70,X_69),converse(A))) != join(converse(join(X_70,X_69)),A)
| converse(join(join(X_70,X_69),converse(A))) = join(converse(join(X_69,X_70)),A) ),
inference(resolve,[$cnf( $equal(converse(join(X_70,X_69)),converse(join(X_69,X_70))) )],[refute_0_644,refute_0_932]) ).
cnf(refute_0_934,plain,
converse(join(join(X_70,X_69),converse(A))) = join(converse(join(X_69,X_70)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_70,X_69),converse(A))),join(converse(join(X_70,X_69)),A)) )],[refute_0_931,refute_0_933]) ).
cnf(refute_0_935,plain,
( converse(join(join(X_70,X_69),converse(A))) != join(converse(join(X_69,X_70)),A)
| converse(join(join(X_70,X_69),converse(A))) != join(converse(join(X_70,X_69)),A)
| join(converse(join(X_70,X_69)),A) = join(converse(join(X_69,X_70)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_70,X_69),converse(A))),join(converse(join(X_69,X_70)),A)) ),[0],$fot(join(converse(join(X_70,X_69)),A))]]) ).
cnf(refute_0_936,plain,
( converse(join(join(X_70,X_69),converse(A))) != join(converse(join(X_69,X_70)),A)
| join(converse(join(X_70,X_69)),A) = join(converse(join(X_69,X_70)),A) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_70,X_69),converse(A))),join(converse(join(X_70,X_69)),A)) )],[refute_0_931,refute_0_935]) ).
cnf(refute_0_937,plain,
join(converse(join(X_70,X_69)),A) = join(converse(join(X_69,X_70)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_70,X_69),converse(A))),join(converse(join(X_69,X_70)),A)) )],[refute_0_934,refute_0_936]) ).
cnf(refute_0_938,plain,
( join(converse(join(X_70,X_69)),A) != join(converse(join(X_69,X_70)),A)
| join(converse(join(X_69,X_70)),A) = join(converse(join(X_70,X_69)),A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(join(X_70,X_69)),A))),bind(Y,$fot(join(converse(join(X_69,X_70)),A)))]]) ).
cnf(refute_0_939,plain,
join(converse(join(X_69,X_70)),A) = join(converse(join(X_70,X_69)),A),
inference(resolve,[$cnf( $equal(join(converse(join(X_70,X_69)),A),join(converse(join(X_69,X_70)),A)) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))),
inference(subst,[],[refute_0_939:[bind(A,$fot(complement(converse(top)))),bind(X_69,$fot(join(converse(complement(converse(X_270))),X_75))),bind(X_70,$fot(X_270))]]) ).
cnf(refute_0_941,plain,
( join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))) != join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) != join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top)))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))))),bind(Y,$fot(join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))))),bind(Z,$fot(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))))]]) ).
cnf(refute_0_942,plain,
( join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))) != join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))),join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top)))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),
inference(resolve,[$cnf( $equal(join(converse(join(X_270,join(converse(complement(converse(X_270))),X_75))),complement(converse(top))),join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) )],[refute_0_930,refute_0_942]) ).
cnf(refute_0_944,plain,
( join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) != join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(X_270)),converse(join(X_75,X_270))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))))),bind(Y,$fot(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))))),bind(Z,$fot(join(complement(converse(X_270)),converse(join(X_75,X_270)))))]]) ).
cnf(refute_0_945,plain,
( join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(X_270)),converse(join(X_75,X_270))) ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))),join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75))))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) = join(complement(converse(X_270)),converse(join(X_75,X_270))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(X_270,join(converse(complement(converse(X_270))),X_75)))),join(complement(converse(X_270)),converse(join(X_75,X_270)))) )],[refute_0_929,refute_0_945]) ).
cnf(refute_0_947,plain,
( join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) != join(complement(converse(X_270)),converse(join(X_75,X_270)))
| join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) != top
| join(complement(converse(X_270)),converse(join(X_75,X_270))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))),top) ),[0],$fot(join(complement(converse(X_270)),converse(join(X_75,X_270))))]]) ).
cnf(refute_0_948,plain,
( join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))) != top
| join(complement(converse(X_270)),converse(join(X_75,X_270))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))),join(complement(converse(X_270)),converse(join(X_75,X_270)))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
join(complement(converse(X_270)),converse(join(X_75,X_270))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(complement(converse(X_270))),X_75),X_270)),complement(converse(top))),top) )],[refute_0_892,refute_0_948]) ).
cnf(refute_0_950,plain,
( join(complement(converse(X_270)),converse(join(X_75,X_270))) != top
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) != complement(join(complement(converse(X_270)),converse(join(X_75,X_270))))
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_270),complement(converse(join(X_75,X_270)))),complement(join(complement(converse(X_270)),converse(join(X_75,X_270))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_951,plain,
( meet(converse(X_270),complement(converse(join(X_75,X_270)))) != complement(join(complement(converse(X_270)),converse(join(X_75,X_270))))
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_270)),converse(join(X_75,X_270))),top) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
meet(converse(X_270),complement(converse(join(X_75,X_270)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(converse(X_270),complement(converse(join(X_75,X_270)))),complement(join(complement(converse(X_270)),converse(join(X_75,X_270))))) )],[refute_0_617,refute_0_951]) ).
cnf(refute_0_953,plain,
( complement(top) != zero
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) != complement(top)
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_270),complement(converse(join(X_75,X_270)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_954,plain,
( meet(converse(X_270),complement(converse(join(X_75,X_270)))) != complement(top)
| meet(converse(X_270),complement(converse(join(X_75,X_270)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_953]) ).
cnf(refute_0_955,plain,
meet(converse(X_270),complement(converse(join(X_75,X_270)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_270),complement(converse(join(X_75,X_270)))),complement(top)) )],[refute_0_952,refute_0_954]) ).
cnf(refute_0_956,plain,
meet(converse(complement(X_564)),complement(converse(join(complement(X_563),complement(X_564))))) = zero,
inference(subst,[],[refute_0_955:[bind(X_270,$fot(complement(X_564))),bind(X_75,$fot(complement(X_563)))]]) ).
cnf(refute_0_957,plain,
join(complement(X_563),complement(X_564)) = complement(meet(X_563,X_564)),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_563)),bind(B,$fot(X_564))]]) ).
cnf(refute_0_958,plain,
( join(complement(X_563),complement(X_564)) != complement(meet(X_563,X_564))
| meet(converse(complement(X_564)),complement(converse(join(complement(X_563),complement(X_564))))) != zero
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(join(complement(X_563),complement(X_564))))),zero) ),[0,1,0,0],$fot(complement(meet(X_563,X_564)))]]) ).
cnf(refute_0_959,plain,
( meet(converse(complement(X_564)),complement(converse(join(complement(X_563),complement(X_564))))) != zero
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(X_563),complement(X_564)),complement(meet(X_563,X_564))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(join(complement(X_563),complement(X_564))))),zero) )],[refute_0_956,refute_0_959]) ).
cnf(refute_0_961,plain,
converse(converse(complement(converse(complement(X_486))))) = complement(converse(complement(X_486))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(complement(X_486)))))]]) ).
cnf(refute_0_962,plain,
converse(join(converse(A),complement(converse(complement(converse(converse(A))))))) = join(A,converse(complement(converse(complement(converse(converse(A))))))),
inference(subst,[],[refute_0_635:[bind(X_14,$fot(complement(converse(complement(converse(converse(A)))))))]]) ).
cnf(refute_0_963,plain,
meet(join(B,X_290),complement(meet(complement(B),X_290))) = complement(join(complement(join(B,X_290)),meet(complement(B),X_290))),
inference(subst,[],[refute_0_174:[bind(A,$fot(join(B,X_290))),bind(X_6,$fot(complement(B))),bind(X_7,$fot(X_290))]]) ).
cnf(refute_0_964,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_35),complement(join(complement(join(zero,complement(B))),X_35))),
inference(subst,[],[refute_0_23:[bind(A,$fot(join(zero,complement(B)))),bind(B,$fot(X_35))]]) ).
cnf(refute_0_965,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_35),complement(join(complement(join(zero,complement(B))),X_35)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_35),complement(join(complement(join(zero,complement(B))),X_35)))) ),[1,1,0,0],$fot(meet(top,B))]]) ).
cnf(refute_0_966,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_35),complement(join(complement(join(zero,complement(B))),X_35)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_188,refute_0_965]) ).
cnf(refute_0_967,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_35),complement(join(complement(join(zero,complement(B))),X_35)))) )],[refute_0_964,refute_0_966]) ).
cnf(refute_0_968,plain,
join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))) = join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(meet(top,B),X_35)))),bind(B,$fot(meet(join(zero,complement(B)),X_35)))]]) ).
cnf(refute_0_969,plain,
( join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))) != join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35)))) ),[1],$fot(join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)))]]) ).
cnf(refute_0_970,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35))),join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_35),complement(join(meet(top,B),X_35)))) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
meet(join(zero,complement(X_9)),B) = complement(join(complement(join(zero,complement(X_9))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(zero,complement(X_9))))]]) ).
cnf(refute_0_973,plain,
( complement(join(zero,complement(X_9))) != meet(top,X_9)
| meet(join(zero,complement(X_9)),B) != complement(join(complement(join(zero,complement(X_9))),complement(B)))
| meet(join(zero,complement(X_9)),B) = complement(join(meet(top,X_9),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_9)),B),complement(join(complement(join(zero,complement(X_9))),complement(B)))) ),[1,0,0],$fot(meet(top,X_9))]]) ).
cnf(refute_0_974,plain,
( meet(join(zero,complement(X_9)),B) != complement(join(complement(join(zero,complement(X_9))),complement(B)))
| meet(join(zero,complement(X_9)),B) = complement(join(meet(top,X_9),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_9))),meet(top,X_9)) )],[refute_0_414,refute_0_973]) ).
cnf(refute_0_975,plain,
meet(join(zero,complement(X_9)),B) = complement(join(meet(top,X_9),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_9)),B),complement(join(complement(join(zero,complement(X_9))),complement(B)))) )],[refute_0_972,refute_0_974]) ).
cnf(refute_0_976,plain,
meet(join(complement(X_6),complement(X_7)),B) = meet(join(complement(X_6),complement(X_7)),B),
introduced(tautology,[refl,[$fot(meet(join(complement(X_6),complement(X_7)),B))]]) ).
cnf(refute_0_977,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),B) != meet(join(complement(X_6),complement(X_7)),B)
| meet(join(complement(X_6),complement(X_7)),B) = meet(complement(meet(X_6,X_7)),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),meet(join(complement(X_6),complement(X_7)),B)) ),[1,0],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_978,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),B) = meet(complement(meet(X_6,X_7)),B) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),meet(join(complement(X_6),complement(X_7)),B)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
meet(join(complement(X_6),complement(X_7)),B) = meet(complement(meet(X_6,X_7)),B),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_167,refute_0_978]) ).
cnf(refute_0_980,plain,
( meet(join(complement(X_6),complement(X_7)),B) != complement(join(meet(X_6,X_7),complement(B)))
| meet(join(complement(X_6),complement(X_7)),B) != meet(complement(meet(X_6,X_7)),B)
| meet(complement(meet(X_6,X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(meet(X_6,X_7),complement(B)))) ),[0],$fot(meet(complement(meet(X_6,X_7)),B))]]) ).
cnf(refute_0_981,plain,
( meet(join(complement(X_6),complement(X_7)),B) != complement(join(meet(X_6,X_7),complement(B)))
| meet(complement(meet(X_6,X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),meet(complement(meet(X_6,X_7)),B)) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
meet(complement(meet(X_6,X_7)),B) = complement(join(meet(X_6,X_7),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(meet(X_6,X_7),complement(B)))) )],[refute_0_88,refute_0_981]) ).
cnf(refute_0_983,plain,
( meet(complement(meet(X_6,X_7)),B) != complement(join(meet(X_6,X_7),complement(B)))
| complement(join(meet(X_6,X_7),complement(B))) = meet(complement(meet(X_6,X_7)),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(meet(X_6,X_7)),B))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(B)))))]]) ).
cnf(refute_0_984,plain,
complement(join(meet(X_6,X_7),complement(B))) = meet(complement(meet(X_6,X_7)),B),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_6,X_7)),B),complement(join(meet(X_6,X_7),complement(B)))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
complement(join(meet(top,X_9),complement(B))) = meet(complement(meet(top,X_9)),B),
inference(subst,[],[refute_0_984:[bind(X_6,$fot(top)),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_986,plain,
( complement(join(meet(top,X_9),complement(B))) != meet(complement(meet(top,X_9)),B)
| meet(join(zero,complement(X_9)),B) != complement(join(meet(top,X_9),complement(B)))
| meet(join(zero,complement(X_9)),B) = meet(complement(meet(top,X_9)),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_9)),B),complement(join(meet(top,X_9),complement(B)))) ),[1],$fot(meet(complement(meet(top,X_9)),B))]]) ).
cnf(refute_0_987,plain,
( meet(join(zero,complement(X_9)),B) != complement(join(meet(top,X_9),complement(B)))
| meet(join(zero,complement(X_9)),B) = meet(complement(meet(top,X_9)),B) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_9),complement(B))),meet(complement(meet(top,X_9)),B)) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
meet(join(zero,complement(X_9)),B) = meet(complement(meet(top,X_9)),B),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_9)),B),complement(join(meet(top,X_9),complement(B)))) )],[refute_0_975,refute_0_987]) ).
cnf(refute_0_989,plain,
meet(join(zero,complement(B)),X_35) = meet(complement(meet(top,B)),X_35),
inference(subst,[],[refute_0_988:[bind(B,$fot(X_35)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_990,plain,
join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)))]]) ).
cnf(refute_0_991,plain,
( join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) != join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))
| meet(join(zero,complement(B)),X_35) != meet(complement(meet(top,B)),X_35)
| join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))) ),[1,1],$fot(meet(complement(meet(top,B)),X_35))]]) ).
cnf(refute_0_992,plain,
( meet(join(zero,complement(B)),X_35) != meet(complement(meet(top,B)),X_35)
| join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),X_35),meet(complement(meet(top,B)),X_35)) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
( join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| join(zero,complement(B)) != join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))) ),[1],$fot(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)))]]) ).
cnf(refute_0_995,plain,
( join(zero,complement(B)) != join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
join(zero,complement(B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_35)),meet(join(zero,complement(B)),X_35))) )],[refute_0_971,refute_0_995]) ).
cnf(refute_0_997,plain,
( join(zero,complement(B)) != complement(meet(top,B))
| join(zero,complement(B)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(meet(top,B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) ),[0],$fot(complement(meet(top,B)))]]) ).
cnf(refute_0_998,plain,
( join(zero,complement(B)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(meet(top,B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(meet(top,B))) )],[refute_0_566,refute_0_997]) ).
cnf(refute_0_999,plain,
complement(meet(top,B)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) )],[refute_0_996,refute_0_998]) ).
cnf(refute_0_1000,plain,
( complement(meet(top,B)) != complement(B)
| complement(meet(top,B)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(B) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,B)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_1001,plain,
( complement(meet(top,B)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(B) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,B)),complement(B)) )],[refute_0_572,refute_0_1000]) ).
cnf(refute_0_1002,plain,
join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(complement(B),X_35))),bind(B,$fot(complement(join(meet(top,B),X_35))))]]) ).
cnf(refute_0_1003,plain,
meet(complement(meet(top,B)),X_35) = meet(complement(meet(top,B)),X_35),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,B)),X_35))]]) ).
cnf(refute_0_1004,plain,
( complement(meet(top,B)) != complement(B)
| meet(complement(meet(top,B)),X_35) != meet(complement(meet(top,B)),X_35)
| meet(complement(meet(top,B)),X_35) = meet(complement(B),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,B)),X_35),meet(complement(meet(top,B)),X_35)) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_1005,plain,
( complement(meet(top,B)) != complement(B)
| meet(complement(meet(top,B)),X_35) = meet(complement(B),X_35) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,B)),X_35),meet(complement(meet(top,B)),X_35)) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
meet(complement(meet(top,B)),X_35) = meet(complement(B),X_35),
inference(resolve,[$cnf( $equal(complement(meet(top,B)),complement(B)) )],[refute_0_572,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)))]]) ).
cnf(refute_0_1008,plain,
( join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| meet(complement(meet(top,B)),X_35) != meet(complement(B),X_35)
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) ),[1,1],$fot(meet(complement(B),X_35))]]) ).
cnf(refute_0_1009,plain,
( meet(complement(meet(top,B)),X_35) != meet(complement(B),X_35)
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,B)),X_35),meet(complement(B),X_35)) )],[refute_0_1006,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) != join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35))
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)))),bind(Y,$fot(join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)))),bind(Z,$fot(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))))]]) ).
cnf(refute_0_1012,plain,
( join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35))) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(complement(B),X_35)),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) )],[refute_0_1002,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( complement(B) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| complement(B) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) ),[0],$fot(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)))]]) ).
cnf(refute_0_1015,plain,
( complement(B) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(B) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35)),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( complement(meet(top,B)) != join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))
| complement(B) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) ),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) )],[refute_0_1001,refute_0_1015]) ).
cnf(refute_0_1017,plain,
complement(B) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),
inference(resolve,[$cnf( $equal(complement(meet(top,B)),join(complement(join(meet(top,B),X_35)),meet(complement(meet(top,B)),X_35))) )],[refute_0_999,refute_0_1016]) ).
cnf(refute_0_1018,plain,
join(meet(complement(B),X_35),complement(join(B,X_35))) = join(complement(join(B,X_35)),meet(complement(B),X_35)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(B,X_35)))),bind(B,$fot(meet(complement(B),X_35)))]]) ).
cnf(refute_0_1019,plain,
meet(top,B) = B,
inference(subst,[],[refute_0_601:[bind(X_35,$fot(B))]]) ).
cnf(refute_0_1020,plain,
join(meet(top,B),X_35) = join(meet(top,B),X_35),
introduced(tautology,[refl,[$fot(join(meet(top,B),X_35))]]) ).
cnf(refute_0_1021,plain,
( join(meet(top,B),X_35) != join(meet(top,B),X_35)
| meet(top,B) != B
| join(meet(top,B),X_35) = join(B,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,B),X_35),join(meet(top,B),X_35)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_1022,plain,
( meet(top,B) != B
| join(meet(top,B),X_35) = join(B,X_35) ),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_35),join(meet(top,B),X_35)) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(meet(top,B),X_35) = join(B,X_35),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_1019,refute_0_1022]) ).
cnf(refute_0_1024,plain,
complement(join(meet(top,B),X_35)) = complement(join(meet(top,B),X_35)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,B),X_35)))]]) ).
cnf(refute_0_1025,plain,
( complement(join(meet(top,B),X_35)) != complement(join(meet(top,B),X_35))
| join(meet(top,B),X_35) != join(B,X_35)
| complement(join(meet(top,B),X_35)) = complement(join(B,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,B),X_35)),complement(join(meet(top,B),X_35))) ),[1,0],$fot(join(B,X_35))]]) ).
cnf(refute_0_1026,plain,
( join(meet(top,B),X_35) != join(B,X_35)
| complement(join(meet(top,B),X_35)) = complement(join(B,X_35)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_35)),complement(join(meet(top,B),X_35))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
complement(join(meet(top,B),X_35)) = complement(join(B,X_35)),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_35),join(B,X_35)) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),
introduced(tautology,[refl,[$fot(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))))]]) ).
cnf(refute_0_1029,plain,
( complement(join(meet(top,B),X_35)) != complement(join(B,X_35))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(meet(complement(B),X_35),complement(join(B,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) ),[1,1],$fot(complement(join(B,X_35)))]]) ).
cnf(refute_0_1030,plain,
( complement(join(meet(top,B),X_35)) != complement(join(B,X_35))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(meet(complement(B),X_35),complement(join(B,X_35))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(meet(complement(B),X_35),complement(join(B,X_35))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_35)),complement(join(B,X_35))) )],[refute_0_1027,refute_0_1030]) ).
cnf(refute_0_1032,plain,
( join(meet(complement(B),X_35),complement(join(B,X_35))) != join(complement(join(B,X_35)),meet(complement(B),X_35))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) != join(meet(complement(B),X_35),complement(join(B,X_35)))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(complement(join(B,X_35)),meet(complement(B),X_35)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))))),bind(Y,$fot(join(meet(complement(B),X_35),complement(join(B,X_35))))),bind(Z,$fot(join(complement(join(B,X_35)),meet(complement(B),X_35))))]]) ).
cnf(refute_0_1033,plain,
( join(meet(complement(B),X_35),complement(join(B,X_35))) != join(complement(join(B,X_35)),meet(complement(B),X_35))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(complement(join(B,X_35)),meet(complement(B),X_35)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),join(meet(complement(B),X_35),complement(join(B,X_35)))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) = join(complement(join(B,X_35)),meet(complement(B),X_35)),
inference(resolve,[$cnf( $equal(join(meet(complement(B),X_35),complement(join(B,X_35))),join(complement(join(B,X_35)),meet(complement(B),X_35))) )],[refute_0_1018,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( complement(B) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))) != join(complement(join(B,X_35)),meet(complement(B),X_35))
| complement(B) = join(complement(join(B,X_35)),meet(complement(B),X_35)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),join(complement(join(B,X_35)),meet(complement(B),X_35))) ),[0],$fot(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))))]]) ).
cnf(refute_0_1036,plain,
( complement(B) != join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))
| complement(B) = join(complement(join(B,X_35)),meet(complement(B),X_35)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(B),X_35),complement(join(meet(top,B),X_35))),join(complement(join(B,X_35)),meet(complement(B),X_35))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
complement(B) = join(complement(join(B,X_35)),meet(complement(B),X_35)),
inference(resolve,[$cnf( $equal(complement(B),join(meet(complement(B),X_35),complement(join(meet(top,B),X_35)))) )],[refute_0_1017,refute_0_1036]) ).
cnf(refute_0_1038,plain,
complement(B) = join(complement(join(B,X_290)),meet(complement(B),X_290)),
inference(subst,[],[refute_0_1037:[bind(X_35,$fot(X_290))]]) ).
cnf(refute_0_1039,plain,
( complement(B) != join(complement(join(B,X_290)),meet(complement(B),X_290))
| join(complement(join(B,X_290)),meet(complement(B),X_290)) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(join(complement(join(B,X_290)),meet(complement(B),X_290))))]]) ).
cnf(refute_0_1040,plain,
join(complement(join(B,X_290)),meet(complement(B),X_290)) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(B,X_290)),meet(complement(B),X_290))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
( join(complement(join(B,X_290)),meet(complement(B),X_290)) != complement(B)
| meet(join(B,X_290),complement(meet(complement(B),X_290))) != complement(join(complement(join(B,X_290)),meet(complement(B),X_290)))
| meet(join(B,X_290),complement(meet(complement(B),X_290))) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(B,X_290),complement(meet(complement(B),X_290))),complement(join(complement(join(B,X_290)),meet(complement(B),X_290)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_1042,plain,
( meet(join(B,X_290),complement(meet(complement(B),X_290))) != complement(join(complement(join(B,X_290)),meet(complement(B),X_290)))
| meet(join(B,X_290),complement(meet(complement(B),X_290))) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,X_290)),meet(complement(B),X_290)),complement(B)) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
meet(join(B,X_290),complement(meet(complement(B),X_290))) = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(join(B,X_290),complement(meet(complement(B),X_290))),complement(join(complement(join(B,X_290)),meet(complement(B),X_290)))) )],[refute_0_963,refute_0_1042]) ).
cnf(refute_0_1044,plain,
meet(top,join(zero,complement(X_9))) = complement(join(zero,complement(join(zero,complement(X_9))))),
inference(subst,[],[refute_0_186:[bind(B,$fot(join(zero,complement(X_9))))]]) ).
cnf(refute_0_1045,plain,
( complement(join(zero,complement(X_9))) != meet(top,X_9)
| meet(top,join(zero,complement(X_9))) != complement(join(zero,complement(join(zero,complement(X_9)))))
| meet(top,join(zero,complement(X_9))) = complement(join(zero,meet(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_9))),complement(join(zero,complement(join(zero,complement(X_9)))))) ),[1,0,1],$fot(meet(top,X_9))]]) ).
cnf(refute_0_1046,plain,
( meet(top,join(zero,complement(X_9))) != complement(join(zero,complement(join(zero,complement(X_9)))))
| meet(top,join(zero,complement(X_9))) = complement(join(zero,meet(top,X_9))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_9))),meet(top,X_9)) )],[refute_0_414,refute_0_1045]) ).
cnf(refute_0_1047,plain,
meet(top,join(zero,complement(X_9))) = complement(join(zero,meet(top,X_9))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_9))),complement(join(zero,complement(join(zero,complement(X_9)))))) )],[refute_0_1044,refute_0_1046]) ).
cnf(refute_0_1048,plain,
meet(top,join(zero,complement(X_9))) = meet(top,complement(meet(top,X_9))),
inference(subst,[],[refute_0_555:[bind(A,$fot(top))]]) ).
cnf(refute_0_1049,plain,
( meet(top,join(zero,complement(X_9))) != complement(join(zero,meet(top,X_9)))
| meet(top,join(zero,complement(X_9))) != meet(top,complement(meet(top,X_9)))
| meet(top,complement(meet(top,X_9))) = complement(join(zero,meet(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_9))),complement(join(zero,meet(top,X_9)))) ),[0],$fot(meet(top,complement(meet(top,X_9))))]]) ).
cnf(refute_0_1050,plain,
( meet(top,join(zero,complement(X_9))) != complement(join(zero,meet(top,X_9)))
| meet(top,complement(meet(top,X_9))) = complement(join(zero,meet(top,X_9))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_9))),meet(top,complement(meet(top,X_9)))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
meet(top,complement(meet(top,X_9))) = complement(join(zero,meet(top,X_9))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_9))),complement(join(zero,meet(top,X_9)))) )],[refute_0_1047,refute_0_1050]) ).
cnf(refute_0_1052,plain,
meet(top,complement(meet(top,complement(meet(top,X_65))))) = complement(join(zero,meet(top,complement(meet(top,X_65))))),
inference(subst,[],[refute_0_1051:[bind(X_9,$fot(complement(meet(top,X_65))))]]) ).
cnf(refute_0_1053,plain,
meet(top,complement(meet(top,X_65))) = complement(join(zero,meet(top,X_65))),
inference(subst,[],[refute_0_1051:[bind(X_9,$fot(X_65))]]) ).
cnf(refute_0_1054,plain,
( meet(top,complement(meet(top,X_65))) != complement(join(zero,meet(top,X_65)))
| meet(top,complement(meet(top,complement(meet(top,X_65))))) != complement(join(zero,meet(top,complement(meet(top,X_65)))))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(join(zero,meet(top,complement(meet(top,X_65))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,complement(meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) ),[0,1,0],$fot(complement(join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1055,plain,
( meet(top,complement(meet(top,complement(meet(top,X_65))))) != complement(join(zero,meet(top,complement(meet(top,X_65)))))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(join(zero,meet(top,complement(meet(top,X_65))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_65))),complement(join(zero,meet(top,X_65)))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(join(zero,meet(top,complement(meet(top,X_65))))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,complement(meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
complement(join(complement(A),complement(B))) = complement(join(complement(A),complement(B))),
introduced(tautology,[refl,[$fot(complement(join(complement(A),complement(B))))]]) ).
cnf(refute_0_1058,plain,
( complement(join(complement(A),complement(B))) != complement(join(complement(A),complement(B)))
| join(complement(A),complement(B)) != complement(meet(A,B))
| complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) ),[1,0],$fot(complement(meet(A,B)))]]) ).
cnf(refute_0_1059,plain,
( join(complement(A),complement(B)) != complement(meet(A,B))
| complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),complement(meet(A,B))) )],[refute_0_166,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( complement(join(complement(A),complement(B))) != complement(complement(meet(A,B)))
| meet(A,B) != complement(join(complement(A),complement(B)))
| meet(A,B) = complement(complement(meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) ),[1],$fot(complement(complement(meet(A,B))))]]) ).
cnf(refute_0_1062,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| meet(A,B) = complement(complement(meet(A,B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(complement(meet(A,B)))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
meet(A,B) = complement(complement(meet(A,B))),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( meet(A,B) != complement(complement(meet(A,B)))
| complement(complement(meet(A,B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_1065,plain,
complement(complement(meet(A,B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(complement(meet(A,B)))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
complement(complement(meet(top,join(zero,meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))),
inference(subst,[],[refute_0_1065:[bind(A,$fot(top)),bind(B,$fot(join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1067,plain,
join(zero,complement(join(zero,meet(top,X_65)))) = complement(meet(top,join(zero,meet(top,X_65)))),
inference(subst,[],[refute_0_566:[bind(B,$fot(join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1068,plain,
join(zero,meet(top,complement(meet(top,X_65)))) = join(zero,meet(top,complement(meet(top,X_65)))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,complement(meet(top,X_65)))))]]) ).
cnf(refute_0_1069,plain,
( join(zero,meet(top,complement(meet(top,X_65)))) != join(zero,meet(top,complement(meet(top,X_65))))
| meet(top,complement(meet(top,X_65))) != complement(join(zero,meet(top,X_65)))
| join(zero,meet(top,complement(meet(top,X_65)))) = join(zero,complement(join(zero,meet(top,X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_65)))),join(zero,meet(top,complement(meet(top,X_65))))) ),[1,1],$fot(complement(join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1070,plain,
( meet(top,complement(meet(top,X_65))) != complement(join(zero,meet(top,X_65)))
| join(zero,meet(top,complement(meet(top,X_65)))) = join(zero,complement(join(zero,meet(top,X_65)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_65)))),join(zero,meet(top,complement(meet(top,X_65))))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
join(zero,meet(top,complement(meet(top,X_65)))) = join(zero,complement(join(zero,meet(top,X_65)))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_65))),complement(join(zero,meet(top,X_65)))) )],[refute_0_1053,refute_0_1070]) ).
cnf(refute_0_1072,plain,
( join(zero,complement(join(zero,meet(top,X_65)))) != complement(meet(top,join(zero,meet(top,X_65))))
| join(zero,meet(top,complement(meet(top,X_65)))) != join(zero,complement(join(zero,meet(top,X_65))))
| join(zero,meet(top,complement(meet(top,X_65)))) = complement(meet(top,join(zero,meet(top,X_65)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(top,complement(meet(top,X_65)))))),bind(Y,$fot(join(zero,complement(join(zero,meet(top,X_65)))))),bind(Z,$fot(complement(meet(top,join(zero,meet(top,X_65))))))]]) ).
cnf(refute_0_1073,plain,
( join(zero,complement(join(zero,meet(top,X_65)))) != complement(meet(top,join(zero,meet(top,X_65))))
| join(zero,meet(top,complement(meet(top,X_65)))) = complement(meet(top,join(zero,meet(top,X_65)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_65)))),join(zero,complement(join(zero,meet(top,X_65))))) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(zero,meet(top,complement(meet(top,X_65)))) = complement(meet(top,join(zero,meet(top,X_65)))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,meet(top,X_65)))),complement(meet(top,join(zero,meet(top,X_65))))) )],[refute_0_1067,refute_0_1073]) ).
cnf(refute_0_1075,plain,
complement(join(zero,meet(top,complement(meet(top,X_65))))) = complement(join(zero,meet(top,complement(meet(top,X_65))))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,complement(meet(top,X_65))))))]]) ).
cnf(refute_0_1076,plain,
( complement(join(zero,meet(top,complement(meet(top,X_65))))) != complement(join(zero,meet(top,complement(meet(top,X_65)))))
| join(zero,meet(top,complement(meet(top,X_65)))) != complement(meet(top,join(zero,meet(top,X_65))))
| complement(join(zero,meet(top,complement(meet(top,X_65))))) = complement(complement(meet(top,join(zero,meet(top,X_65))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) ),[1,0],$fot(complement(meet(top,join(zero,meet(top,X_65)))))]]) ).
cnf(refute_0_1077,plain,
( join(zero,meet(top,complement(meet(top,X_65)))) != complement(meet(top,join(zero,meet(top,X_65))))
| complement(join(zero,meet(top,complement(meet(top,X_65))))) = complement(complement(meet(top,join(zero,meet(top,X_65))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
complement(join(zero,meet(top,complement(meet(top,X_65))))) = complement(complement(meet(top,join(zero,meet(top,X_65))))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_65)))),complement(meet(top,join(zero,meet(top,X_65))))) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( complement(complement(meet(top,join(zero,meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| complement(join(zero,meet(top,complement(meet(top,X_65))))) != complement(complement(meet(top,join(zero,meet(top,X_65)))))
| complement(join(zero,meet(top,complement(meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(zero,meet(top,complement(meet(top,X_65))))))),bind(Y,$fot(complement(complement(meet(top,join(zero,meet(top,X_65))))))),bind(Z,$fot(meet(top,join(zero,meet(top,X_65)))))]]) ).
cnf(refute_0_1080,plain,
( complement(complement(meet(top,join(zero,meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| complement(join(zero,meet(top,complement(meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_65))))),complement(complement(meet(top,join(zero,meet(top,X_65)))))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
complement(join(zero,meet(top,complement(meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))),
inference(resolve,[$cnf( $equal(complement(complement(meet(top,join(zero,meet(top,X_65))))),meet(top,join(zero,meet(top,X_65)))) )],[refute_0_1066,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( complement(join(zero,meet(top,complement(meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) != complement(join(zero,meet(top,complement(meet(top,X_65)))))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) ),[1],$fot(meet(top,join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1083,plain,
( meet(top,complement(complement(join(zero,meet(top,X_65))))) != complement(join(zero,meet(top,complement(meet(top,X_65)))))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_65))))),meet(top,join(zero,meet(top,X_65)))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
meet(top,complement(complement(join(zero,meet(top,X_65))))) = meet(top,join(zero,meet(top,X_65))),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),complement(join(zero,meet(top,complement(meet(top,X_65)))))) )],[refute_0_1056,refute_0_1083]) ).
cnf(refute_0_1085,plain,
complement(meet(top,X_65)) = complement(X_65),
inference(subst,[],[refute_0_572:[bind(B,$fot(X_65))]]) ).
cnf(refute_0_1086,plain,
join(zero,meet(top,X_65)) = meet(top,X_65),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(top,X_65)))]]) ).
cnf(refute_0_1087,plain,
complement(join(zero,meet(top,X_65))) = complement(join(zero,meet(top,X_65))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1088,plain,
( complement(join(zero,meet(top,X_65))) != complement(join(zero,meet(top,X_65)))
| join(zero,meet(top,X_65)) != meet(top,X_65)
| complement(join(zero,meet(top,X_65))) = complement(meet(top,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_65))),complement(join(zero,meet(top,X_65)))) ),[1,0],$fot(meet(top,X_65))]]) ).
cnf(refute_0_1089,plain,
( join(zero,meet(top,X_65)) != meet(top,X_65)
| complement(join(zero,meet(top,X_65))) = complement(meet(top,X_65)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_65))),complement(join(zero,meet(top,X_65)))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
complement(join(zero,meet(top,X_65))) = complement(meet(top,X_65)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_65)),meet(top,X_65)) )],[refute_0_1086,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( complement(join(zero,meet(top,X_65))) != complement(meet(top,X_65))
| complement(meet(top,X_65)) != complement(X_65)
| complement(join(zero,meet(top,X_65))) = complement(X_65) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(zero,meet(top,X_65))))),bind(Y,$fot(complement(meet(top,X_65)))),bind(Z,$fot(complement(X_65)))]]) ).
cnf(refute_0_1092,plain,
( complement(meet(top,X_65)) != complement(X_65)
| complement(join(zero,meet(top,X_65))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_65))),complement(meet(top,X_65))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
complement(join(zero,meet(top,X_65))) = complement(X_65),
inference(resolve,[$cnf( $equal(complement(meet(top,X_65)),complement(X_65)) )],[refute_0_1085,refute_0_1092]) ).
cnf(refute_0_1094,plain,
complement(complement(join(zero,meet(top,X_65)))) = complement(complement(join(zero,meet(top,X_65)))),
introduced(tautology,[refl,[$fot(complement(complement(join(zero,meet(top,X_65)))))]]) ).
cnf(refute_0_1095,plain,
( complement(complement(join(zero,meet(top,X_65)))) != complement(complement(join(zero,meet(top,X_65))))
| complement(join(zero,meet(top,X_65))) != complement(X_65)
| complement(complement(join(zero,meet(top,X_65)))) = complement(complement(X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(zero,meet(top,X_65)))),complement(complement(join(zero,meet(top,X_65))))) ),[1,0],$fot(complement(X_65))]]) ).
cnf(refute_0_1096,plain,
( complement(join(zero,meet(top,X_65))) != complement(X_65)
| complement(complement(join(zero,meet(top,X_65)))) = complement(complement(X_65)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_65)))),complement(complement(join(zero,meet(top,X_65))))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
complement(complement(join(zero,meet(top,X_65)))) = complement(complement(X_65)),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_65))),complement(X_65)) )],[refute_0_1093,refute_0_1096]) ).
cnf(refute_0_1098,plain,
join(zero,meet(top,X_9)) = meet(top,X_9),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(top,X_9)))]]) ).
cnf(refute_0_1099,plain,
complement(join(zero,meet(top,X_9))) = complement(join(zero,meet(top,X_9))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_9))))]]) ).
cnf(refute_0_1100,plain,
( complement(join(zero,meet(top,X_9))) != complement(join(zero,meet(top,X_9)))
| join(zero,meet(top,X_9)) != meet(top,X_9)
| complement(join(zero,meet(top,X_9))) = complement(meet(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_9))),complement(join(zero,meet(top,X_9)))) ),[1,0],$fot(meet(top,X_9))]]) ).
cnf(refute_0_1101,plain,
( join(zero,meet(top,X_9)) != meet(top,X_9)
| complement(join(zero,meet(top,X_9))) = complement(meet(top,X_9)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_9))),complement(join(zero,meet(top,X_9)))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
complement(join(zero,meet(top,X_9))) = complement(meet(top,X_9)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_9)),meet(top,X_9)) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( complement(join(zero,meet(top,X_9))) != complement(meet(top,X_9))
| meet(top,complement(meet(top,X_9))) != complement(join(zero,meet(top,X_9)))
| meet(top,complement(meet(top,X_9))) = complement(meet(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,X_9))),complement(join(zero,meet(top,X_9)))) ),[1],$fot(complement(meet(top,X_9)))]]) ).
cnf(refute_0_1104,plain,
( meet(top,complement(meet(top,X_9))) != complement(join(zero,meet(top,X_9)))
| meet(top,complement(meet(top,X_9))) = complement(meet(top,X_9)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_9))),complement(meet(top,X_9))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
meet(top,complement(meet(top,X_9))) = complement(meet(top,X_9)),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_9))),complement(join(zero,meet(top,X_9)))) )],[refute_0_1051,refute_0_1104]) ).
cnf(refute_0_1106,plain,
complement(meet(top,X_9)) = complement(X_9),
inference(subst,[],[refute_0_572:[bind(B,$fot(X_9))]]) ).
cnf(refute_0_1107,plain,
meet(top,complement(meet(top,X_9))) = meet(top,complement(meet(top,X_9))),
introduced(tautology,[refl,[$fot(meet(top,complement(meet(top,X_9))))]]) ).
cnf(refute_0_1108,plain,
( complement(meet(top,X_9)) != complement(X_9)
| meet(top,complement(meet(top,X_9))) != meet(top,complement(meet(top,X_9)))
| meet(top,complement(meet(top,X_9))) = meet(top,complement(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,X_9))),meet(top,complement(meet(top,X_9)))) ),[1,1],$fot(complement(X_9))]]) ).
cnf(refute_0_1109,plain,
( complement(meet(top,X_9)) != complement(X_9)
| meet(top,complement(meet(top,X_9))) = meet(top,complement(X_9)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_9))),meet(top,complement(meet(top,X_9)))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
meet(top,complement(meet(top,X_9))) = meet(top,complement(X_9)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_9)),complement(X_9)) )],[refute_0_1106,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( meet(top,complement(meet(top,X_9))) != complement(meet(top,X_9))
| meet(top,complement(meet(top,X_9))) != meet(top,complement(X_9))
| meet(top,complement(X_9)) = complement(meet(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,X_9))),complement(meet(top,X_9))) ),[0],$fot(meet(top,complement(X_9)))]]) ).
cnf(refute_0_1112,plain,
( meet(top,complement(meet(top,X_9))) != complement(meet(top,X_9))
| meet(top,complement(X_9)) = complement(meet(top,X_9)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_9))),meet(top,complement(X_9))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( complement(meet(top,X_9)) != complement(X_9)
| meet(top,complement(X_9)) != complement(meet(top,X_9))
| meet(top,complement(X_9)) = complement(X_9) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_9)),complement(meet(top,X_9))) ),[1],$fot(complement(X_9))]]) ).
cnf(refute_0_1114,plain,
( meet(top,complement(X_9)) != complement(meet(top,X_9))
| meet(top,complement(X_9)) = complement(X_9) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_9)),complement(X_9)) )],[refute_0_1106,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( meet(top,complement(meet(top,X_9))) != complement(meet(top,X_9))
| meet(top,complement(X_9)) = complement(X_9) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_9)),complement(meet(top,X_9))) )],[refute_0_1112,refute_0_1114]) ).
cnf(refute_0_1116,plain,
meet(top,complement(X_9)) = complement(X_9),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_9))),complement(meet(top,X_9))) )],[refute_0_1105,refute_0_1115]) ).
cnf(refute_0_1117,plain,
meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(complement(join(zero,meet(top,X_65)))),
inference(subst,[],[refute_0_1116:[bind(X_9,$fot(complement(join(zero,meet(top,X_65)))))]]) ).
cnf(refute_0_1118,plain,
( complement(complement(join(zero,meet(top,X_65)))) != complement(complement(X_65))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) != complement(complement(join(zero,meet(top,X_65))))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(complement(X_65)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(top,complement(complement(join(zero,meet(top,X_65))))))),bind(Y,$fot(complement(complement(join(zero,meet(top,X_65)))))),bind(Z,$fot(complement(complement(X_65))))]]) ).
cnf(refute_0_1119,plain,
( complement(complement(join(zero,meet(top,X_65)))) != complement(complement(X_65))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(complement(X_65)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),complement(complement(join(zero,meet(top,X_65))))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
meet(top,complement(complement(join(zero,meet(top,X_65))))) = complement(complement(X_65)),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_65)))),complement(complement(X_65))) )],[refute_0_1097,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( meet(top,complement(complement(join(zero,meet(top,X_65))))) != complement(complement(X_65))
| meet(top,complement(complement(join(zero,meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| complement(complement(X_65)) = meet(top,join(zero,meet(top,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),meet(top,join(zero,meet(top,X_65)))) ),[0],$fot(complement(complement(X_65)))]]) ).
cnf(refute_0_1122,plain,
( meet(top,complement(complement(join(zero,meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| complement(complement(X_65)) = meet(top,join(zero,meet(top,X_65))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),complement(complement(X_65))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
meet(top,join(zero,meet(top,X_65))) = meet(top,join(zero,meet(top,X_65))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1124,plain,
( join(zero,meet(top,X_65)) != meet(top,X_65)
| meet(top,join(zero,meet(top,X_65))) != meet(top,join(zero,meet(top,X_65)))
| meet(top,join(zero,meet(top,X_65))) = meet(top,meet(top,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,X_65))),meet(top,join(zero,meet(top,X_65)))) ),[1,1],$fot(meet(top,X_65))]]) ).
cnf(refute_0_1125,plain,
( join(zero,meet(top,X_65)) != meet(top,X_65)
| meet(top,join(zero,meet(top,X_65))) = meet(top,meet(top,X_65)) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,X_65))),meet(top,join(zero,meet(top,X_65)))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
meet(top,join(zero,meet(top,X_65))) = meet(top,meet(top,X_65)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_65)),meet(top,X_65)) )],[refute_0_1086,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( complement(complement(X_65)) != meet(top,join(zero,meet(top,X_65)))
| meet(top,join(zero,meet(top,X_65))) != meet(top,meet(top,X_65))
| complement(complement(X_65)) = meet(top,meet(top,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_65)),meet(top,meet(top,X_65))) ),[0],$fot(meet(top,join(zero,meet(top,X_65))))]]) ).
cnf(refute_0_1128,plain,
( complement(complement(X_65)) != meet(top,join(zero,meet(top,X_65)))
| complement(complement(X_65)) = meet(top,meet(top,X_65)) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,X_65))),meet(top,meet(top,X_65))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( meet(top,complement(complement(join(zero,meet(top,X_65))))) != meet(top,join(zero,meet(top,X_65)))
| complement(complement(X_65)) = meet(top,meet(top,X_65)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_65)),meet(top,join(zero,meet(top,X_65)))) )],[refute_0_1122,refute_0_1128]) ).
cnf(refute_0_1130,plain,
complement(complement(X_65)) = meet(top,meet(top,X_65)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_65))))),meet(top,join(zero,meet(top,X_65)))) )],[refute_0_1084,refute_0_1129]) ).
cnf(refute_0_1131,plain,
meet(top,X_65) = X_65,
inference(subst,[],[refute_0_601:[bind(X_35,$fot(X_65))]]) ).
cnf(refute_0_1132,plain,
meet(top,meet(top,X_65)) = meet(top,X_65),
inference(subst,[],[refute_0_601:[bind(X_35,$fot(meet(top,X_65)))]]) ).
cnf(refute_0_1133,plain,
( meet(top,X_65) != X_65
| meet(top,meet(top,X_65)) != meet(top,X_65)
| meet(top,meet(top,X_65)) = X_65 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(top,meet(top,X_65)))),bind(Y,$fot(meet(top,X_65))),bind(Z,$fot(X_65))]]) ).
cnf(refute_0_1134,plain,
( meet(top,X_65) != X_65
| meet(top,meet(top,X_65)) = X_65 ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,X_65)),meet(top,X_65)) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
meet(top,meet(top,X_65)) = X_65,
inference(resolve,[$cnf( $equal(meet(top,X_65),X_65) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( complement(complement(X_65)) != meet(top,meet(top,X_65))
| meet(top,meet(top,X_65)) != X_65
| complement(complement(X_65)) = X_65 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_65)),X_65) ),[0],$fot(meet(top,meet(top,X_65)))]]) ).
cnf(refute_0_1137,plain,
( complement(complement(X_65)) != meet(top,meet(top,X_65))
| complement(complement(X_65)) = X_65 ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,X_65)),X_65) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
complement(complement(X_65)) = X_65,
inference(resolve,[$cnf( $equal(complement(complement(X_65)),meet(top,meet(top,X_65))) )],[refute_0_1130,refute_0_1137]) ).
cnf(refute_0_1139,plain,
complement(complement(B)) = B,
inference(subst,[],[refute_0_1138:[bind(X_65,$fot(B))]]) ).
cnf(refute_0_1140,plain,
( complement(complement(B)) != B
| meet(join(B,X_290),complement(meet(complement(B),X_290))) != complement(complement(B))
| meet(join(B,X_290),complement(meet(complement(B),X_290))) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(B,X_290),complement(meet(complement(B),X_290))),complement(complement(B))) ),[1],$fot(B)]]) ).
cnf(refute_0_1141,plain,
( meet(join(B,X_290),complement(meet(complement(B),X_290))) != complement(complement(B))
| meet(join(B,X_290),complement(meet(complement(B),X_290))) = B ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
meet(join(B,X_290),complement(meet(complement(B),X_290))) = B,
inference(resolve,[$cnf( $equal(meet(join(B,X_290),complement(meet(complement(B),X_290))),complement(complement(B))) )],[refute_0_1043,refute_0_1141]) ).
cnf(refute_0_1143,plain,
meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))))) = B,
inference(subst,[],[refute_0_1142:[bind(X_290,$fot(complement(converse(complement(converse(complement(complement(B))))))))]]) ).
cnf(refute_0_1144,plain,
meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = complement(join(complement(X_294),converse(complement(converse(complement(X_294)))))),
inference(subst,[],[refute_0_616:[bind(X_288,$fot(X_294)),bind(X_290,$fot(converse(complement(converse(complement(X_294))))))]]) ).
cnf(refute_0_1145,plain,
( converse(top) != join(X_17,converse(complement(converse(X_17))))
| converse(top) != top
| top = join(X_17,converse(complement(converse(X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_17,converse(complement(converse(X_17))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1146,plain,
( converse(top) != join(X_17,converse(complement(converse(X_17))))
| top = join(X_17,converse(complement(converse(X_17)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_1145]) ).
cnf(refute_0_1147,plain,
top = join(X_17,converse(complement(converse(X_17)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_17,converse(complement(converse(X_17))))) )],[refute_0_642,refute_0_1146]) ).
cnf(refute_0_1148,plain,
top = join(complement(X_294),converse(complement(converse(complement(X_294))))),
inference(subst,[],[refute_0_1147:[bind(X_17,$fot(complement(X_294)))]]) ).
cnf(refute_0_1149,plain,
( top != join(complement(X_294),converse(complement(converse(complement(X_294)))))
| join(complement(X_294),converse(complement(converse(complement(X_294))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_294),converse(complement(converse(complement(X_294)))))))]]) ).
cnf(refute_0_1150,plain,
join(complement(X_294),converse(complement(converse(complement(X_294))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_294),converse(complement(converse(complement(X_294)))))) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( join(complement(X_294),converse(complement(converse(complement(X_294))))) != top
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) != complement(join(complement(X_294),converse(complement(converse(complement(X_294))))))
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(converse(complement(converse(complement(X_294)))))),complement(join(complement(X_294),converse(complement(converse(complement(X_294))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1152,plain,
( meet(X_294,complement(converse(complement(converse(complement(X_294)))))) != complement(join(complement(X_294),converse(complement(converse(complement(X_294))))))
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),converse(complement(converse(complement(X_294))))),top) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(converse(complement(converse(complement(X_294)))))),complement(join(complement(X_294),converse(complement(converse(complement(X_294))))))) )],[refute_0_1144,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( complement(top) != zero
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) != complement(top)
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(converse(complement(converse(complement(X_294)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1155,plain,
( meet(X_294,complement(converse(complement(converse(complement(X_294)))))) != complement(top)
| meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1154]) ).
cnf(refute_0_1156,plain,
meet(X_294,complement(converse(complement(converse(complement(X_294)))))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(converse(complement(converse(complement(X_294)))))),complement(top)) )],[refute_0_1153,refute_0_1155]) ).
cnf(refute_0_1157,plain,
meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))) = zero,
inference(subst,[],[refute_0_1156:[bind(X_294,$fot(complement(B)))]]) ).
cnf(refute_0_1158,plain,
( meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))) != zero
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))))) != B
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))))),B) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1159,plain,
( meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))))) != B
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = B ),
inference(resolve,[$cnf( $equal(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))),zero) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = B,
inference(resolve,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(meet(complement(B),complement(converse(complement(converse(complement(complement(B))))))))),B) )],[refute_0_1143,refute_0_1159]) ).
cnf(refute_0_1161,plain,
meet(top,join(B,complement(converse(complement(converse(B)))))) = join(B,complement(converse(complement(converse(B))))),
inference(subst,[],[refute_0_601:[bind(X_35,$fot(join(B,complement(converse(complement(converse(B)))))))]]) ).
cnf(refute_0_1162,plain,
converse(complement(complement(B))) = converse(complement(complement(B))),
introduced(tautology,[refl,[$fot(converse(complement(complement(B))))]]) ).
cnf(refute_0_1163,plain,
( complement(complement(B)) != B
| converse(complement(complement(B))) != converse(complement(complement(B)))
| converse(complement(complement(B))) = converse(B) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(B))),converse(complement(complement(B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_1164,plain,
( complement(complement(B)) != B
| converse(complement(complement(B))) = converse(B) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(B))),converse(complement(complement(B)))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
converse(complement(complement(B))) = converse(B),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_1139,refute_0_1164]) ).
cnf(refute_0_1166,plain,
complement(converse(complement(complement(B)))) = complement(converse(complement(complement(B)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(B)))))]]) ).
cnf(refute_0_1167,plain,
( complement(converse(complement(complement(B)))) != complement(converse(complement(complement(B))))
| converse(complement(complement(B))) != converse(B)
| complement(converse(complement(complement(B)))) = complement(converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(B)))),complement(converse(complement(complement(B))))) ),[1,0],$fot(converse(B))]]) ).
cnf(refute_0_1168,plain,
( converse(complement(complement(B))) != converse(B)
| complement(converse(complement(complement(B)))) = complement(converse(B)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(B)))),complement(converse(complement(complement(B))))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
complement(converse(complement(complement(B)))) = complement(converse(B)),
inference(resolve,[$cnf( $equal(converse(complement(complement(B))),converse(B)) )],[refute_0_1165,refute_0_1168]) ).
cnf(refute_0_1170,plain,
converse(complement(converse(complement(complement(B))))) = converse(complement(converse(complement(complement(B))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(B))))))]]) ).
cnf(refute_0_1171,plain,
( complement(converse(complement(complement(B)))) != complement(converse(B))
| converse(complement(converse(complement(complement(B))))) != converse(complement(converse(complement(complement(B)))))
| converse(complement(converse(complement(complement(B))))) = converse(complement(converse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(B))))),converse(complement(converse(complement(complement(B)))))) ),[1,0],$fot(complement(converse(B)))]]) ).
cnf(refute_0_1172,plain,
( complement(converse(complement(complement(B)))) != complement(converse(B))
| converse(complement(converse(complement(complement(B))))) = converse(complement(converse(B))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(B))))),converse(complement(converse(complement(complement(B)))))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
converse(complement(converse(complement(complement(B))))) = converse(complement(converse(B))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(B)))),complement(converse(B))) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
complement(converse(complement(converse(complement(complement(B)))))) = complement(converse(complement(converse(complement(complement(B)))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(complement(B)))))))]]) ).
cnf(refute_0_1175,plain,
( complement(converse(complement(converse(complement(complement(B)))))) != complement(converse(complement(converse(complement(complement(B))))))
| converse(complement(converse(complement(complement(B))))) != converse(complement(converse(B)))
| complement(converse(complement(converse(complement(complement(B)))))) = complement(converse(complement(converse(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(complement(B)))))),complement(converse(complement(converse(complement(complement(B))))))) ),[1,0],$fot(converse(complement(converse(B))))]]) ).
cnf(refute_0_1176,plain,
( converse(complement(converse(complement(complement(B))))) != converse(complement(converse(B)))
| complement(converse(complement(converse(complement(complement(B)))))) = complement(converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(B)))))),complement(converse(complement(converse(complement(complement(B))))))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
complement(converse(complement(converse(complement(complement(B)))))) = complement(converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(B))))),converse(complement(converse(B)))) )],[refute_0_1173,refute_0_1176]) ).
cnf(refute_0_1178,plain,
join(B,complement(converse(complement(converse(complement(complement(B))))))) = join(B,complement(converse(complement(converse(complement(complement(B))))))),
introduced(tautology,[refl,[$fot(join(B,complement(converse(complement(converse(complement(complement(B))))))))]]) ).
cnf(refute_0_1179,plain,
( complement(converse(complement(converse(complement(complement(B)))))) != complement(converse(complement(converse(B))))
| join(B,complement(converse(complement(converse(complement(complement(B))))))) != join(B,complement(converse(complement(converse(complement(complement(B)))))))
| join(B,complement(converse(complement(converse(complement(complement(B))))))) = join(B,complement(converse(complement(converse(B))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,complement(converse(complement(converse(complement(complement(B))))))),join(B,complement(converse(complement(converse(complement(complement(B)))))))) ),[1,1],$fot(complement(converse(complement(converse(B)))))]]) ).
cnf(refute_0_1180,plain,
( complement(converse(complement(converse(complement(complement(B)))))) != complement(converse(complement(converse(B))))
| join(B,complement(converse(complement(converse(complement(complement(B))))))) = join(B,complement(converse(complement(converse(B))))) ),
inference(resolve,[$cnf( $equal(join(B,complement(converse(complement(converse(complement(complement(B))))))),join(B,complement(converse(complement(converse(complement(complement(B)))))))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
join(B,complement(converse(complement(converse(complement(complement(B))))))) = join(B,complement(converse(complement(converse(B))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(B)))))),complement(converse(complement(converse(B))))) )],[refute_0_1177,refute_0_1180]) ).
cnf(refute_0_1182,plain,
meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))),
introduced(tautology,[refl,[$fot(meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))))]]) ).
cnf(refute_0_1183,plain,
( join(B,complement(converse(complement(converse(complement(complement(B))))))) != join(B,complement(converse(complement(converse(B)))))
| meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(top,join(B,complement(converse(complement(converse(complement(complement(B))))))))
| meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(top,join(B,complement(converse(complement(converse(complement(complement(B))))))))) ),[1,1],$fot(join(B,complement(converse(complement(converse(B))))))]]) ).
cnf(refute_0_1184,plain,
( join(B,complement(converse(complement(converse(complement(complement(B))))))) != join(B,complement(converse(complement(converse(B)))))
| meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(top,join(B,complement(converse(complement(converse(complement(complement(B))))))))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))),
inference(resolve,[$cnf( $equal(join(B,complement(converse(complement(converse(complement(complement(B))))))),join(B,complement(converse(complement(converse(B)))))) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),
introduced(tautology,[refl,[$fot(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))))]]) ).
cnf(refute_0_1187,plain,
( complement(zero) != top
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B))))))))
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1188,plain,
( complement(zero) != top
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B))))))))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_1188]) ).
cnf(refute_0_1190,plain,
( meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(top,join(B,complement(converse(complement(converse(complement(complement(B))))))))
| meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(top,join(B,complement(converse(complement(converse(B))))))
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))))),bind(Y,$fot(meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))))),bind(Z,$fot(meet(top,join(B,complement(converse(complement(converse(B))))))))]]) ).
cnf(refute_0_1191,plain,
( meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(top,join(B,complement(converse(complement(converse(B))))))
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(top,join(B,complement(converse(complement(converse(complement(complement(B))))))))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = meet(top,join(B,complement(converse(complement(converse(B)))))),
inference(resolve,[$cnf( $equal(meet(top,join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(top,join(B,complement(converse(complement(converse(B))))))) )],[refute_0_1185,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) != meet(top,join(B,complement(converse(complement(converse(B))))))
| meet(top,join(B,complement(converse(complement(converse(B)))))) != join(B,complement(converse(complement(converse(B)))))
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = join(B,complement(converse(complement(converse(B))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))))),bind(Y,$fot(meet(top,join(B,complement(converse(complement(converse(B)))))))),bind(Z,$fot(join(B,complement(converse(complement(converse(B)))))))]]) ).
cnf(refute_0_1194,plain,
( meet(top,join(B,complement(converse(complement(converse(B)))))) != join(B,complement(converse(complement(converse(B)))))
| meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = join(B,complement(converse(complement(converse(B))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),meet(top,join(B,complement(converse(complement(converse(B))))))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) = join(B,complement(converse(complement(converse(B))))),
inference(resolve,[$cnf( $equal(meet(top,join(B,complement(converse(complement(converse(B)))))),join(B,complement(converse(complement(converse(B)))))) )],[refute_0_1161,refute_0_1194]) ).
cnf(refute_0_1196,plain,
meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(complement(zero))),bind(X_7,$fot(join(B,complement(converse(complement(converse(complement(complement(B)))))))))]]) ).
cnf(refute_0_1197,plain,
( meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) != join(B,complement(converse(complement(converse(B)))))
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) != meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B))))))))
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = join(B,complement(converse(complement(converse(B))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)))),bind(Y,$fot(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))))),bind(Z,$fot(join(B,complement(converse(complement(converse(B)))))))]]) ).
cnf(refute_0_1198,plain,
( meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))) != join(B,complement(converse(complement(converse(B)))))
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = join(B,complement(converse(complement(converse(B))))) ),
inference(resolve,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)),meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B))))))))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) = join(B,complement(converse(complement(converse(B))))),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(B,complement(converse(complement(converse(complement(complement(B)))))))),join(B,complement(converse(complement(converse(B)))))) )],[refute_0_1195,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) != B
| meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) != join(B,complement(converse(complement(converse(B)))))
| join(B,complement(converse(complement(converse(B))))) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)),B) ),[0],$fot(join(B,complement(converse(complement(converse(B))))))]]) ).
cnf(refute_0_1201,plain,
( meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)) != B
| join(B,complement(converse(complement(converse(B))))) = B ),
inference(resolve,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)),join(B,complement(converse(complement(converse(B)))))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
join(B,complement(converse(complement(converse(B))))) = B,
inference(resolve,[$cnf( $equal(meet(join(B,complement(converse(complement(converse(complement(complement(B))))))),complement(zero)),B) )],[refute_0_1160,refute_0_1201]) ).
cnf(refute_0_1203,plain,
join(converse(A),complement(converse(complement(converse(converse(A)))))) = converse(A),
inference(subst,[],[refute_0_1202:[bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_1204,plain,
( converse(join(converse(A),complement(converse(complement(converse(converse(A))))))) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| join(converse(A),complement(converse(complement(converse(converse(A)))))) != converse(A)
| converse(converse(A)) = join(A,converse(complement(converse(complement(converse(converse(A))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),complement(converse(complement(converse(converse(A))))))),join(A,converse(complement(converse(complement(converse(converse(A)))))))) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_1205,plain,
( converse(join(converse(A),complement(converse(complement(converse(converse(A))))))) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| converse(converse(A)) = join(A,converse(complement(converse(complement(converse(converse(A))))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),complement(converse(complement(converse(converse(A)))))),converse(A)) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
converse(converse(A)) = join(A,converse(complement(converse(complement(converse(converse(A))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(converse(complement(converse(converse(A))))))),join(A,converse(complement(converse(complement(converse(converse(A)))))))) )],[refute_0_962,refute_0_1205]) ).
cnf(refute_0_1207,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| A = join(A,converse(complement(converse(complement(converse(converse(A))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(complement(converse(complement(converse(converse(A)))))))) ),[0],$fot(A)]]) ).
cnf(refute_0_1208,plain,
( converse(converse(A)) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| A = join(A,converse(complement(converse(complement(converse(converse(A))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1207]) ).
cnf(refute_0_1209,plain,
meet(join(X_300,X_301),complement(meet(complement(X_300),X_301))) = X_300,
inference(subst,[],[refute_0_1142:[bind(B,$fot(X_300)),bind(X_290,$fot(X_301))]]) ).
cnf(refute_0_1210,plain,
meet(X_301,complement(X_300)) = meet(complement(X_300),X_301),
inference(subst,[],[refute_0_46:[bind(X_6,$fot(X_301)),bind(X_7,$fot(complement(X_300)))]]) ).
cnf(refute_0_1211,plain,
( meet(X_301,complement(X_300)) != meet(complement(X_300),X_301)
| meet(complement(X_300),X_301) = meet(X_301,complement(X_300)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_301,complement(X_300)))),bind(Y,$fot(meet(complement(X_300),X_301)))]]) ).
cnf(refute_0_1212,plain,
meet(complement(X_300),X_301) = meet(X_301,complement(X_300)),
inference(resolve,[$cnf( $equal(meet(X_301,complement(X_300)),meet(complement(X_300),X_301)) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( meet(complement(X_300),X_301) != meet(X_301,complement(X_300))
| meet(join(X_300,X_301),complement(meet(complement(X_300),X_301))) != X_300
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = X_300 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(complement(X_300),X_301))),X_300) ),[0,1,0],$fot(meet(X_301,complement(X_300)))]]) ).
cnf(refute_0_1214,plain,
( meet(join(X_300,X_301),complement(meet(complement(X_300),X_301))) != X_300
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = X_300 ),
inference(resolve,[$cnf( $equal(meet(complement(X_300),X_301),meet(X_301,complement(X_300))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = X_300,
inference(resolve,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(complement(X_300),X_301))),X_300) )],[refute_0_1209,refute_0_1214]) ).
cnf(refute_0_1216,plain,
X_34 = join(meet(complement(meet(one,complement(X_34))),X_34),complement(join(complement(X_34),complement(meet(one,complement(X_34)))))),
inference(subst,[],[refute_0_141:[bind(X_35,$fot(complement(meet(one,complement(X_34)))))]]) ).
cnf(refute_0_1217,plain,
converse(top) = join(join(X_13,converse(A)),converse(complement(converse(join(X_13,converse(A)))))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(join(X_13,converse(A))))]]) ).
cnf(refute_0_1218,plain,
( converse(join(X_13,converse(A))) != join(converse(X_13),A)
| converse(top) != join(join(X_13,converse(A)),converse(complement(converse(join(X_13,converse(A))))))
| converse(top) = join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_13,converse(A)),converse(complement(converse(join(X_13,converse(A))))))) ),[1,1,0,0],$fot(join(converse(X_13),A))]]) ).
cnf(refute_0_1219,plain,
( converse(top) != join(join(X_13,converse(A)),converse(complement(converse(join(X_13,converse(A))))))
| converse(top) = join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_13,converse(A))),join(converse(X_13),A)) )],[refute_0_693,refute_0_1218]) ).
cnf(refute_0_1220,plain,
converse(top) = join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_13,converse(A)),converse(complement(converse(join(X_13,converse(A))))))) )],[refute_0_1217,refute_0_1219]) ).
cnf(refute_0_1221,plain,
join(converse(A),converse(complement(join(converse(X_13),A)))) = converse(join(A,complement(join(converse(X_13),A)))),
inference(subst,[],[refute_0_626:[bind(B,$fot(complement(join(converse(X_13),A))))]]) ).
cnf(refute_0_1222,plain,
join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) = join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))),
introduced(tautology,[refl,[$fot(join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))))]]) ).
cnf(refute_0_1223,plain,
( join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) != join(X_13,join(converse(A),converse(complement(join(converse(X_13),A)))))
| join(converse(A),converse(complement(join(converse(X_13),A)))) != converse(join(A,complement(join(converse(X_13),A))))
| join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))),join(X_13,join(converse(A),converse(complement(join(converse(X_13),A)))))) ),[1,1],$fot(converse(join(A,complement(join(converse(X_13),A)))))]]) ).
cnf(refute_0_1224,plain,
( join(converse(A),converse(complement(join(converse(X_13),A)))) != converse(join(A,complement(join(converse(X_13),A))))
| join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
inference(resolve,[$cnf( $equal(join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))),join(X_13,join(converse(A),converse(complement(join(converse(X_13),A)))))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))),
inference(resolve,[$cnf( $equal(join(converse(A),converse(complement(join(converse(X_13),A)))),converse(join(A,complement(join(converse(X_13),A))))) )],[refute_0_1221,refute_0_1224]) ).
cnf(refute_0_1226,plain,
join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) = join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))),
inference(subst,[],[refute_0_333:[bind(A,$fot(X_13)),bind(B,$fot(converse(A))),bind(C,$fot(converse(complement(join(converse(X_13),A)))))]]) ).
cnf(refute_0_1227,plain,
( join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) != join(X_13,converse(join(A,complement(join(converse(X_13),A)))))
| join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) != join(X_13,join(converse(A),converse(complement(join(converse(X_13),A)))))
| join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))))),bind(Y,$fot(join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))))),bind(Z,$fot(join(X_13,converse(join(A,complement(join(converse(X_13),A)))))))]]) ).
cnf(refute_0_1228,plain,
( join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))) != join(X_13,converse(join(A,complement(join(converse(X_13),A)))))
| join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))),join(X_13,join(converse(A),converse(complement(join(converse(X_13),A)))))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))),
inference(resolve,[$cnf( $equal(join(X_13,join(converse(A),converse(complement(join(converse(X_13),A))))),join(X_13,converse(join(A,complement(join(converse(X_13),A)))))) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( converse(top) != join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A))))
| join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))) != join(X_13,converse(join(A,complement(join(converse(X_13),A)))))
| converse(top) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_13,converse(join(A,complement(join(converse(X_13),A)))))) ),[0],$fot(join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))))]]) ).
cnf(refute_0_1231,plain,
( converse(top) != join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A))))
| converse(top) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A)))),join(X_13,converse(join(A,complement(join(converse(X_13),A)))))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
converse(top) = join(X_13,converse(join(A,complement(join(converse(X_13),A))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_13,converse(A)),converse(complement(join(converse(X_13),A))))) )],[refute_0_1220,refute_0_1231]) ).
cnf(refute_0_1233,plain,
( converse(top) != join(X_13,converse(join(A,complement(join(converse(X_13),A)))))
| converse(top) != top
| top = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_13,converse(join(A,complement(join(converse(X_13),A)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1234,plain,
( converse(top) != join(X_13,converse(join(A,complement(join(converse(X_13),A)))))
| top = join(X_13,converse(join(A,complement(join(converse(X_13),A))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_1233]) ).
cnf(refute_0_1235,plain,
top = join(X_13,converse(join(A,complement(join(converse(X_13),A))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_13,converse(join(A,complement(join(converse(X_13),A)))))) )],[refute_0_1232,refute_0_1234]) ).
cnf(refute_0_1236,plain,
top = join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13)))))))))),
inference(subst,[],[refute_0_1235:[bind(A,$fot(converse(complement(meet(one,converse(converse(X_13)))))))]]) ).
cnf(refute_0_1237,plain,
join(X_135,join(converse(complement(converse(X_135))),X_136)) = top,
inference(subst,[],[refute_0_888:[bind(X_73,$fot(X_135)),bind(X_75,$fot(X_136))]]) ).
cnf(refute_0_1238,plain,
join(X_136,converse(complement(converse(X_135)))) = join(converse(complement(converse(X_135))),X_136),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_136)),bind(B,$fot(converse(complement(converse(X_135)))))]]) ).
cnf(refute_0_1239,plain,
( join(X_136,converse(complement(converse(X_135)))) != join(converse(complement(converse(X_135))),X_136)
| join(converse(complement(converse(X_135))),X_136) = join(X_136,converse(complement(converse(X_135)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_136,converse(complement(converse(X_135)))))),bind(Y,$fot(join(converse(complement(converse(X_135))),X_136)))]]) ).
cnf(refute_0_1240,plain,
join(converse(complement(converse(X_135))),X_136) = join(X_136,converse(complement(converse(X_135)))),
inference(resolve,[$cnf( $equal(join(X_136,converse(complement(converse(X_135)))),join(converse(complement(converse(X_135))),X_136)) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
( join(X_135,join(converse(complement(converse(X_135))),X_136)) != top
| join(converse(complement(converse(X_135))),X_136) != join(X_136,converse(complement(converse(X_135))))
| join(X_135,join(X_136,converse(complement(converse(X_135))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_135,join(converse(complement(converse(X_135))),X_136)),top) ),[0,1],$fot(join(X_136,converse(complement(converse(X_135)))))]]) ).
cnf(refute_0_1242,plain,
( join(X_135,join(converse(complement(converse(X_135))),X_136)) != top
| join(X_135,join(X_136,converse(complement(converse(X_135))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_135))),X_136),join(X_136,converse(complement(converse(X_135))))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
join(X_135,join(X_136,converse(complement(converse(X_135))))) = top,
inference(resolve,[$cnf( $equal(join(X_135,join(converse(complement(converse(X_135))),X_136)),top) )],[refute_0_1237,refute_0_1242]) ).
cnf(refute_0_1244,plain,
join(X_144,join(complement(one),converse(complement(converse(X_144))))) = top,
inference(subst,[],[refute_0_1243:[bind(X_135,$fot(X_144)),bind(X_136,$fot(complement(one)))]]) ).
cnf(refute_0_1245,plain,
converse(join(converse(complement(one)),X_14)) = join(complement(one),converse(X_14)),
inference(subst,[],[refute_0_635:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_1246,plain,
converse(join(converse(complement(one)),complement(one))) = converse(join(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_630:[bind(X_13,$fot(complement(one))),bind(X_14,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1247,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_4:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_1248,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_1249,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( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_1249]) ).
cnf(refute_0_1251,plain,
join(complement(one),composition(converse(X_10),complement(composition(X_10,one)))) = complement(one),
inference(subst,[],[refute_0_1250:[bind(A,$fot(X_10)),bind(B,$fot(one))]]) ).
cnf(refute_0_1252,plain,
composition(X_10,one) = X_10,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_1253,plain,
( composition(X_10,one) != X_10
| join(complement(one),composition(converse(X_10),complement(composition(X_10,one)))) != complement(one)
| join(complement(one),composition(converse(X_10),complement(X_10))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_10),complement(composition(X_10,one)))),complement(one)) ),[0,1,1,0],$fot(X_10)]]) ).
cnf(refute_0_1254,plain,
( join(complement(one),composition(converse(X_10),complement(composition(X_10,one)))) != complement(one)
| join(complement(one),composition(converse(X_10),complement(X_10))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_10,one),X_10) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
join(complement(one),composition(converse(X_10),complement(X_10))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_10),complement(composition(X_10,one)))),complement(one)) )],[refute_0_1251,refute_0_1254]) ).
cnf(refute_0_1256,plain,
join(complement(one),composition(converse(join(zero,complement(B))),complement(join(zero,complement(B))))) = complement(one),
inference(subst,[],[refute_0_1255:[bind(X_10,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_1257,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(complement(one),composition(converse(join(zero,complement(B))),complement(join(zero,complement(B))))) != complement(one)
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),complement(join(zero,complement(B))))),complement(one)) ),[0,1,1],$fot(meet(top,B))]]) ).
cnf(refute_0_1258,plain,
( join(complement(one),composition(converse(join(zero,complement(B))),complement(join(zero,complement(B))))) != complement(one)
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_188,refute_0_1257]) ).
cnf(refute_0_1259,plain,
join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),complement(join(zero,complement(B))))),complement(one)) )],[refute_0_1256,refute_0_1258]) ).
cnf(refute_0_1260,plain,
composition(converse(complement(B)),meet(top,B)) = composition(converse(complement(B)),meet(top,B)),
introduced(tautology,[refl,[$fot(composition(converse(complement(B)),meet(top,B)))]]) ).
cnf(refute_0_1261,plain,
( composition(converse(complement(B)),meet(top,B)) != composition(converse(complement(B)),meet(top,B))
| meet(top,B) != B
| composition(converse(complement(B)),meet(top,B)) = composition(converse(complement(B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(B)),meet(top,B)),composition(converse(complement(B)),meet(top,B))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_1262,plain,
( meet(top,B) != B
| composition(converse(complement(B)),meet(top,B)) = composition(converse(complement(B)),B) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(B)),meet(top,B)),composition(converse(complement(B)),meet(top,B))) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
composition(converse(complement(B)),meet(top,B)) = composition(converse(complement(B)),B),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_1019,refute_0_1262]) ).
cnf(refute_0_1264,plain,
converse(join(zero,complement(B))) = converse(join(zero,complement(B))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(B))))]]) ).
cnf(refute_0_1265,plain,
( converse(join(zero,complement(B))) != converse(join(zero,complement(B)))
| join(zero,complement(B)) != complement(B)
| converse(join(zero,complement(B))) = converse(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(B))),converse(join(zero,complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_1266,plain,
( join(zero,complement(B)) != complement(B)
| converse(join(zero,complement(B))) = converse(complement(B)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(B))),converse(join(zero,complement(B)))) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
converse(join(zero,complement(B))) = converse(complement(B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_567,refute_0_1266]) ).
cnf(refute_0_1268,plain,
composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(join(zero,complement(B))),meet(top,B)),
introduced(tautology,[refl,[$fot(composition(converse(join(zero,complement(B))),meet(top,B)))]]) ).
cnf(refute_0_1269,plain,
( composition(converse(join(zero,complement(B))),meet(top,B)) != composition(converse(join(zero,complement(B))),meet(top,B))
| converse(join(zero,complement(B))) != converse(complement(B))
| composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),meet(top,B)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(zero,complement(B))),meet(top,B)),composition(converse(join(zero,complement(B))),meet(top,B))) ),[1,0],$fot(converse(complement(B)))]]) ).
cnf(refute_0_1270,plain,
( converse(join(zero,complement(B))) != converse(complement(B))
| composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),meet(top,B)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(zero,complement(B))),meet(top,B)),composition(converse(join(zero,complement(B))),meet(top,B))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),meet(top,B)),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(B))),converse(complement(B))) )],[refute_0_1267,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( composition(converse(complement(B)),meet(top,B)) != composition(converse(complement(B)),B)
| composition(converse(join(zero,complement(B))),meet(top,B)) != composition(converse(complement(B)),meet(top,B))
| composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),B) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(join(zero,complement(B))),meet(top,B)))),bind(Y,$fot(composition(converse(complement(B)),meet(top,B)))),bind(Z,$fot(composition(converse(complement(B)),B)))]]) ).
cnf(refute_0_1273,plain,
( composition(converse(complement(B)),meet(top,B)) != composition(converse(complement(B)),B)
| composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),B) ),
inference(resolve,[$cnf( $equal(composition(converse(join(zero,complement(B))),meet(top,B)),composition(converse(complement(B)),meet(top,B))) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
composition(converse(join(zero,complement(B))),meet(top,B)) = composition(converse(complement(B)),B),
inference(resolve,[$cnf( $equal(composition(converse(complement(B)),meet(top,B)),composition(converse(complement(B)),B)) )],[refute_0_1263,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))))]]) ).
cnf(refute_0_1276,plain,
( composition(converse(join(zero,complement(B))),meet(top,B)) != composition(converse(complement(B)),B)
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) != join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B)))
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = join(complement(one),composition(converse(complement(B)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B)))) ),[1,1],$fot(composition(converse(complement(B)),B))]]) ).
cnf(refute_0_1277,plain,
( composition(converse(join(zero,complement(B))),meet(top,B)) != composition(converse(complement(B)),B)
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = join(complement(one),composition(converse(complement(B)),B)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B)))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) = join(complement(one),composition(converse(complement(B)),B)),
inference(resolve,[$cnf( $equal(composition(converse(join(zero,complement(B))),meet(top,B)),composition(converse(complement(B)),B)) )],[refute_0_1274,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) != complement(one)
| join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) != join(complement(one),composition(converse(complement(B)),B))
| join(complement(one),composition(converse(complement(B)),B)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),complement(one)) ),[0],$fot(join(complement(one),composition(converse(complement(B)),B)))]]) ).
cnf(refute_0_1280,plain,
( join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))) != complement(one)
| join(complement(one),composition(converse(complement(B)),B)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),join(complement(one),composition(converse(complement(B)),B))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
join(complement(one),composition(converse(complement(B)),B)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(zero,complement(B))),meet(top,B))),complement(one)) )],[refute_0_1259,refute_0_1280]) ).
cnf(refute_0_1282,plain,
join(complement(one),composition(converse(complement(one)),one)) = complement(one),
inference(subst,[],[refute_0_1281:[bind(B,$fot(one))]]) ).
cnf(refute_0_1283,plain,
composition(converse(complement(one)),one) = converse(complement(one)),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1284,plain,
( composition(converse(complement(one)),one) != converse(complement(one))
| join(complement(one),composition(converse(complement(one)),one)) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),complement(one)) ),[0,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1285,plain,
( join(complement(one),composition(converse(complement(one)),one)) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),one),converse(complement(one))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),complement(one)) )],[refute_0_1282,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| join(complement(one),converse(complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1288,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
converse(join(converse(complement(one)),complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1246,refute_0_1288]) ).
cnf(refute_0_1290,plain,
converse(join(converse(complement(one)),complement(one))) = join(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_635:[bind(A,$fot(complement(one))),bind(X_14,$fot(complement(one)))]]) ).
cnf(refute_0_1291,plain,
( converse(join(converse(complement(one)),complement(one))) != join(complement(one),converse(complement(one)))
| join(complement(one),converse(complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) = complement(one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(complement(one)),complement(one))))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1292,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),join(complement(one),converse(complement(one)))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
converse(join(converse(complement(one)),complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1286,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( converse(join(converse(complement(one)),complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_1295,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),complement(one)) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
complement(one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) )],[refute_0_1289,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( complement(one) != converse(complement(one))
| converse(complement(one)) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1298,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),converse(complement(one))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( converse(complement(one)) != complement(one)
| converse(join(converse(complement(one)),X_14)) != join(complement(one),converse(X_14))
| converse(join(complement(one),X_14)) = join(complement(one),converse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_14)),join(complement(one),converse(X_14))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_1300,plain,
( converse(join(converse(complement(one)),X_14)) != join(complement(one),converse(X_14))
| converse(join(complement(one),X_14)) = join(complement(one),converse(X_14)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
converse(join(complement(one),X_14)) = join(complement(one),converse(X_14)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_14)),join(complement(one),converse(X_14))) )],[refute_0_1245,refute_0_1300]) ).
cnf(refute_0_1302,plain,
converse(join(complement(one),complement(converse(X_144)))) = join(complement(one),converse(complement(converse(X_144)))),
inference(subst,[],[refute_0_1301:[bind(X_14,$fot(complement(converse(X_144))))]]) ).
cnf(refute_0_1303,plain,
( converse(join(complement(one),complement(converse(X_144)))) != join(complement(one),converse(complement(converse(X_144))))
| join(complement(one),converse(complement(converse(X_144)))) = converse(join(complement(one),complement(converse(X_144)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(one),complement(converse(X_144)))))),bind(Y,$fot(join(complement(one),converse(complement(converse(X_144))))))]]) ).
cnf(refute_0_1304,plain,
join(complement(one),converse(complement(converse(X_144)))) = converse(join(complement(one),complement(converse(X_144)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(X_144)))),join(complement(one),converse(complement(converse(X_144))))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( join(X_144,join(complement(one),converse(complement(converse(X_144))))) != top
| join(complement(one),converse(complement(converse(X_144)))) != converse(join(complement(one),complement(converse(X_144))))
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_144,join(complement(one),converse(complement(converse(X_144))))),top) ),[0,1],$fot(converse(join(complement(one),complement(converse(X_144)))))]]) ).
cnf(refute_0_1306,plain,
( join(X_144,join(complement(one),converse(complement(converse(X_144))))) != top
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(X_144)))),converse(join(complement(one),complement(converse(X_144))))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
join(X_144,converse(join(complement(one),complement(converse(X_144))))) = top,
inference(resolve,[$cnf( $equal(join(X_144,join(complement(one),converse(complement(converse(X_144))))),top) )],[refute_0_1244,refute_0_1306]) ).
cnf(refute_0_1308,plain,
join(complement(one),complement(converse(X_144))) = complement(meet(one,converse(X_144))),
inference(subst,[],[refute_0_166:[bind(A,$fot(one)),bind(B,$fot(converse(X_144)))]]) ).
cnf(refute_0_1309,plain,
converse(join(complement(one),complement(converse(X_144)))) = converse(join(complement(one),complement(converse(X_144)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(X_144)))))]]) ).
cnf(refute_0_1310,plain,
( converse(join(complement(one),complement(converse(X_144)))) != converse(join(complement(one),complement(converse(X_144))))
| join(complement(one),complement(converse(X_144))) != complement(meet(one,converse(X_144)))
| converse(join(complement(one),complement(converse(X_144)))) = converse(complement(meet(one,converse(X_144)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(X_144)))),converse(join(complement(one),complement(converse(X_144))))) ),[1,0],$fot(complement(meet(one,converse(X_144))))]]) ).
cnf(refute_0_1311,plain,
( join(complement(one),complement(converse(X_144))) != complement(meet(one,converse(X_144)))
| converse(join(complement(one),complement(converse(X_144)))) = converse(complement(meet(one,converse(X_144)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(X_144)))),converse(join(complement(one),complement(converse(X_144))))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
converse(join(complement(one),complement(converse(X_144)))) = converse(complement(meet(one,converse(X_144)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(X_144))),complement(meet(one,converse(X_144)))) )],[refute_0_1308,refute_0_1311]) ).
cnf(refute_0_1313,plain,
join(X_144,converse(join(complement(one),complement(converse(X_144))))) = join(X_144,converse(join(complement(one),complement(converse(X_144))))),
introduced(tautology,[refl,[$fot(join(X_144,converse(join(complement(one),complement(converse(X_144))))))]]) ).
cnf(refute_0_1314,plain,
( converse(join(complement(one),complement(converse(X_144)))) != converse(complement(meet(one,converse(X_144))))
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) != join(X_144,converse(join(complement(one),complement(converse(X_144)))))
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) = join(X_144,converse(complement(meet(one,converse(X_144))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_144,converse(join(complement(one),complement(converse(X_144))))),join(X_144,converse(join(complement(one),complement(converse(X_144)))))) ),[1,1],$fot(converse(complement(meet(one,converse(X_144)))))]]) ).
cnf(refute_0_1315,plain,
( converse(join(complement(one),complement(converse(X_144)))) != converse(complement(meet(one,converse(X_144))))
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) = join(X_144,converse(complement(meet(one,converse(X_144))))) ),
inference(resolve,[$cnf( $equal(join(X_144,converse(join(complement(one),complement(converse(X_144))))),join(X_144,converse(join(complement(one),complement(converse(X_144)))))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
join(X_144,converse(join(complement(one),complement(converse(X_144))))) = join(X_144,converse(complement(meet(one,converse(X_144))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(X_144)))),converse(complement(meet(one,converse(X_144))))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( join(X_144,converse(join(complement(one),complement(converse(X_144))))) != join(X_144,converse(complement(meet(one,converse(X_144)))))
| join(X_144,converse(join(complement(one),complement(converse(X_144))))) != top
| join(X_144,converse(complement(meet(one,converse(X_144))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_144,converse(join(complement(one),complement(converse(X_144))))),top) ),[0],$fot(join(X_144,converse(complement(meet(one,converse(X_144))))))]]) ).
cnf(refute_0_1318,plain,
( join(X_144,converse(join(complement(one),complement(converse(X_144))))) != top
| join(X_144,converse(complement(meet(one,converse(X_144))))) = top ),
inference(resolve,[$cnf( $equal(join(X_144,converse(join(complement(one),complement(converse(X_144))))),join(X_144,converse(complement(meet(one,converse(X_144)))))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
join(X_144,converse(complement(meet(one,converse(X_144))))) = top,
inference(resolve,[$cnf( $equal(join(X_144,converse(join(complement(one),complement(converse(X_144))))),top) )],[refute_0_1307,refute_0_1318]) ).
cnf(refute_0_1320,plain,
join(converse(X_13),converse(complement(meet(one,converse(converse(X_13)))))) = top,
inference(subst,[],[refute_0_1319:[bind(X_144,$fot(converse(X_13)))]]) ).
cnf(refute_0_1321,plain,
( join(converse(X_13),converse(complement(meet(one,converse(converse(X_13)))))) != top
| top != join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13))))))))))
| top = join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_1322,plain,
( top != join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13))))))))))
| top = join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13)))))),top) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
top = join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(join(converse(X_13),converse(complement(meet(one,converse(converse(X_13))))))))))) )],[refute_0_1236,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(zero,complement(meet(one,X_13))) = complement(meet(one,X_13)),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(complement(meet(one,X_13))))]]) ).
cnf(refute_0_1325,plain,
converse(converse(X_13)) = X_13,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_1326,plain,
meet(one,converse(converse(X_13))) = meet(one,converse(converse(X_13))),
introduced(tautology,[refl,[$fot(meet(one,converse(converse(X_13))))]]) ).
cnf(refute_0_1327,plain,
( converse(converse(X_13)) != X_13
| meet(one,converse(converse(X_13))) != meet(one,converse(converse(X_13)))
| meet(one,converse(converse(X_13))) = meet(one,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(converse(X_13))),meet(one,converse(converse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_1328,plain,
( converse(converse(X_13)) != X_13
| meet(one,converse(converse(X_13))) = meet(one,X_13) ),
inference(resolve,[$cnf( $equal(meet(one,converse(converse(X_13))),meet(one,converse(converse(X_13)))) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
meet(one,converse(converse(X_13))) = meet(one,X_13),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),X_13) )],[refute_0_1325,refute_0_1328]) ).
cnf(refute_0_1330,plain,
complement(meet(one,converse(converse(X_13)))) = complement(meet(one,converse(converse(X_13)))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(converse(X_13)))))]]) ).
cnf(refute_0_1331,plain,
( complement(meet(one,converse(converse(X_13)))) != complement(meet(one,converse(converse(X_13))))
| meet(one,converse(converse(X_13))) != meet(one,X_13)
| complement(meet(one,converse(converse(X_13)))) = complement(meet(one,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(converse(X_13)))),complement(meet(one,converse(converse(X_13))))) ),[1,0],$fot(meet(one,X_13))]]) ).
cnf(refute_0_1332,plain,
( meet(one,converse(converse(X_13))) != meet(one,X_13)
| complement(meet(one,converse(converse(X_13)))) = complement(meet(one,X_13)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(converse(X_13)))),complement(meet(one,converse(converse(X_13))))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
complement(meet(one,converse(converse(X_13)))) = complement(meet(one,X_13)),
inference(resolve,[$cnf( $equal(meet(one,converse(converse(X_13))),meet(one,X_13)) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
join(zero,complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,converse(converse(X_13))))),
introduced(tautology,[refl,[$fot(join(zero,complement(meet(one,converse(converse(X_13))))))]]) ).
cnf(refute_0_1335,plain,
( complement(meet(one,converse(converse(X_13)))) != complement(meet(one,X_13))
| join(zero,complement(meet(one,converse(converse(X_13))))) != join(zero,complement(meet(one,converse(converse(X_13)))))
| join(zero,complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(meet(one,converse(converse(X_13))))),join(zero,complement(meet(one,converse(converse(X_13)))))) ),[1,1],$fot(complement(meet(one,X_13)))]]) ).
cnf(refute_0_1336,plain,
( complement(meet(one,converse(converse(X_13)))) != complement(meet(one,X_13))
| join(zero,complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(one,converse(converse(X_13))))),join(zero,complement(meet(one,converse(converse(X_13)))))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
join(zero,complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(converse(X_13)))),complement(meet(one,X_13))) )],[refute_0_1333,refute_0_1336]) ).
cnf(refute_0_1338,plain,
converse(zero) = join(zero,meet(converse(zero),complement(complement(converse(zero))))),
inference(subst,[],[refute_0_108:[bind(X_34,$fot(converse(zero)))]]) ).
cnf(refute_0_1339,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1340,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero))))))),
inference(subst,[],[refute_0_462:[bind(X_34,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1341,plain,
top = join(meet(top,X_35),complement(join(complement(top),X_35))),
inference(subst,[],[refute_0_23:[bind(A,$fot(top)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_1342,plain,
( complement(top) != zero
| top != join(meet(top,X_35),complement(join(complement(top),X_35)))
| top = join(meet(top,X_35),complement(join(zero,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_35),complement(join(complement(top),X_35)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_1343,plain,
( top != join(meet(top,X_35),complement(join(complement(top),X_35)))
| top = join(meet(top,X_35),complement(join(zero,X_35))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1342]) ).
cnf(refute_0_1344,plain,
top = join(meet(top,X_35),complement(join(zero,X_35))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_35),complement(join(complement(top),X_35)))) )],[refute_0_1341,refute_0_1343]) ).
cnf(refute_0_1345,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_1344:[bind(X_35,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1346,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(zero))]]) ).
cnf(refute_0_1347,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1348,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1350,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_1345,refute_0_1350]) ).
cnf(refute_0_1352,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1353,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1354,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_1351,refute_0_1354]) ).
cnf(refute_0_1356,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1357,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1358,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_919,refute_0_1358]) ).
cnf(refute_0_1360,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1361,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
top = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_1355,refute_0_1361]) ).
cnf(refute_0_1363,plain,
( top != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero)))))))]]) ).
cnf(refute_0_1364,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_1366,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) )],[refute_0_1340,refute_0_1366]) ).
cnf(refute_0_1368,plain,
meet(converse(complement(converse(zero))),top) = meet(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_200:[bind(A,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1369,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(converse(complement(converse(zero))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_1370,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(converse(complement(converse(zero))),top))
| meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) ),[1,1],$fot(meet(top,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1371,plain,
( meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(zero))),top),meet(top,converse(complement(converse(zero))))) )],[refute_0_1368,refute_0_1371]) ).
cnf(refute_0_1373,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(converse(complement(converse(zero))),top)))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1374,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_1364,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| join(zero,meet(converse(complement(converse(zero))),top)) != top
| converse(complement(converse(zero))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(zero))),top) ),[0],$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_1377,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| converse(complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),top) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_1367,refute_0_1377]) ).
cnf(refute_0_1379,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1380,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_1339,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_1383,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_680,refute_0_1382]) ).
cnf(refute_0_1384,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_1381,refute_0_1383]) ).
cnf(refute_0_1385,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1386,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
( complement(converse(zero)) != top
| converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
| converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_1388,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
| converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
converse(zero) = join(zero,meet(converse(zero),complement(top))),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) )],[refute_0_1338,refute_0_1388]) ).
cnf(refute_0_1390,plain,
X_34 = join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(join(complement(X_34),converse(complement(converse(complement(X_34))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_34)),bind(B,$fot(converse(complement(converse(complement(X_34))))))]]) ).
cnf(refute_0_1391,plain,
converse(top) = join(complement(X_34),converse(complement(converse(complement(X_34))))),
inference(subst,[],[refute_0_642:[bind(X_17,$fot(complement(X_34)))]]) ).
cnf(refute_0_1392,plain,
( converse(top) != join(complement(X_34),converse(complement(converse(complement(X_34)))))
| join(complement(X_34),converse(complement(converse(complement(X_34))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_34),converse(complement(converse(complement(X_34)))))))]]) ).
cnf(refute_0_1393,plain,
join(complement(X_34),converse(complement(converse(complement(X_34))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_34),converse(complement(converse(complement(X_34)))))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( X_34 != join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(join(complement(X_34),converse(complement(converse(complement(X_34)))))))
| join(complement(X_34),converse(complement(converse(complement(X_34))))) != converse(top)
| X_34 = join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(join(complement(X_34),converse(complement(converse(complement(X_34)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1395,plain,
( X_34 != join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(join(complement(X_34),converse(complement(converse(complement(X_34)))))))
| X_34 = join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),converse(complement(converse(complement(X_34))))),converse(top)) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
X_34 = join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(join(complement(X_34),converse(complement(converse(complement(X_34)))))))) )],[refute_0_1390,refute_0_1395]) ).
cnf(refute_0_1397,plain,
join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))) = join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(X_34,converse(complement(converse(complement(X_34)))))))]]) ).
cnf(refute_0_1398,plain,
( X_34 != join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top)))
| join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))) != join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34))))))
| X_34 = join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34))))))) ),[0],$fot(join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))))]]) ).
cnf(refute_0_1399,plain,
( X_34 != join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top)))
| X_34 = join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top))),join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34))))))) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
X_34 = join(complement(converse(top)),meet(X_34,converse(complement(converse(complement(X_34)))))),
inference(resolve,[$cnf( $equal(X_34,join(meet(X_34,converse(complement(converse(complement(X_34))))),complement(converse(top)))) )],[refute_0_1396,refute_0_1399]) ).
cnf(refute_0_1401,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
inference(subst,[],[refute_0_1400:[bind(X_34,$fot(zero))]]) ).
cnf(refute_0_1402,plain,
( complement(zero) != top
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_1403,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_284,refute_0_1402]) ).
cnf(refute_0_1404,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_0_1401,refute_0_1403]) ).
cnf(refute_0_1405,plain,
converse(complement(converse(top))) = converse(complement(converse(top))),
introduced(tautology,[refl,[$fot(converse(complement(converse(top))))]]) ).
cnf(refute_0_1406,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) != converse(complement(converse(top)))
| converse(complement(converse(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1407,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
converse(complement(converse(top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_919,refute_0_1407]) ).
cnf(refute_0_1409,plain,
meet(zero,converse(complement(converse(top)))) = meet(zero,converse(complement(converse(top)))),
introduced(tautology,[refl,[$fot(meet(zero,converse(complement(converse(top)))))]]) ).
cnf(refute_0_1410,plain,
( converse(complement(converse(top))) != converse(zero)
| meet(zero,converse(complement(converse(top)))) != meet(zero,converse(complement(converse(top))))
| meet(zero,converse(complement(converse(top)))) = meet(zero,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),meet(zero,converse(complement(converse(top))))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_1411,plain,
( converse(complement(converse(top))) != converse(zero)
| meet(zero,converse(complement(converse(top)))) = meet(zero,converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),meet(zero,converse(complement(converse(top))))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
meet(zero,converse(complement(converse(top)))) = meet(zero,converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(zero)) )],[refute_0_1408,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(zero,meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(zero,meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_1414,plain,
( join(zero,meet(zero,converse(complement(converse(top))))) != join(zero,meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != meet(zero,converse(zero))
| join(zero,meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(zero,converse(complement(converse(top))))),join(zero,meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(meet(zero,converse(zero)))]]) ).
cnf(refute_0_1415,plain,
( meet(zero,converse(complement(converse(top)))) != meet(zero,converse(zero))
| join(zero,meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(zero,converse(complement(converse(top))))),join(zero,meet(zero,converse(complement(converse(top)))))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(zero,meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),meet(zero,converse(zero))) )],[refute_0_1412,refute_0_1415]) ).
cnf(refute_0_1417,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_1418,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1419,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_919,refute_0_1419]) ).
cnf(refute_0_1421,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(zero,meet(zero,converse(complement(converse(top)))))
| join(zero,meet(zero,converse(complement(converse(top))))) != join(zero,meet(zero,converse(zero)))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(join(zero,meet(zero,converse(complement(converse(top))))))),bind(Z,$fot(join(zero,meet(zero,converse(zero)))))]]) ).
cnf(refute_0_1422,plain,
( join(zero,meet(zero,converse(complement(converse(top))))) != join(zero,meet(zero,converse(zero)))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(zero,meet(zero,converse(complement(converse(top)))))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,meet(zero,converse(complement(converse(top))))),join(zero,meet(zero,converse(zero)))) )],[refute_0_1416,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(zero,meet(zero,converse(zero)))
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1],$fot(join(zero,meet(zero,converse(zero))))]]) ).
cnf(refute_0_1425,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(zero,meet(zero,converse(zero)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
zero = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_1404,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( zero != join(zero,meet(zero,converse(zero)))
| join(zero,meet(zero,converse(zero))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,meet(zero,converse(zero)))))]]) ).
cnf(refute_0_1428,plain,
join(zero,meet(zero,converse(zero))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,meet(zero,converse(zero)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
meet(complement(top),converse(zero)) = meet(complement(top),converse(zero)),
introduced(tautology,[refl,[$fot(meet(complement(top),converse(zero)))]]) ).
cnf(refute_0_1430,plain,
( complement(top) != zero
| meet(complement(top),converse(zero)) != meet(complement(top),converse(zero))
| meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1431,plain,
( complement(top) != zero
| meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
meet(complement(top),converse(zero)) = meet(zero,converse(zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1431]) ).
cnf(refute_0_1433,plain,
meet(converse(zero),complement(top)) = meet(complement(top),converse(zero)),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(complement(top))),bind(X_7,$fot(converse(zero)))]]) ).
cnf(refute_0_1434,plain,
( meet(complement(top),converse(zero)) != meet(zero,converse(zero))
| meet(converse(zero),complement(top)) != meet(complement(top),converse(zero))
| meet(converse(zero),complement(top)) = meet(zero,converse(zero)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(zero),complement(top)))),bind(Y,$fot(meet(complement(top),converse(zero)))),bind(Z,$fot(meet(zero,converse(zero))))]]) ).
cnf(refute_0_1435,plain,
( meet(complement(top),converse(zero)) != meet(zero,converse(zero))
| meet(converse(zero),complement(top)) = meet(zero,converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),meet(complement(top),converse(zero))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
meet(converse(zero),complement(top)) = meet(zero,converse(zero)),
inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(zero,converse(zero))) )],[refute_0_1432,refute_0_1435]) ).
cnf(refute_0_1437,plain,
join(zero,meet(converse(zero),complement(top))) = join(zero,meet(converse(zero),complement(top))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(zero),complement(top))))]]) ).
cnf(refute_0_1438,plain,
( join(zero,meet(converse(zero),complement(top))) != join(zero,meet(converse(zero),complement(top)))
| meet(converse(zero),complement(top)) != meet(zero,converse(zero))
| join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) ),[1,1],$fot(meet(zero,converse(zero)))]]) ).
cnf(refute_0_1439,plain,
( meet(converse(zero),complement(top)) != meet(zero,converse(zero))
| join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_1437,refute_0_1438]) ).
cnf(refute_0_1440,plain,
join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),meet(zero,converse(zero))) )],[refute_0_1436,refute_0_1439]) ).
cnf(refute_0_1441,plain,
( join(zero,meet(converse(zero),complement(top))) != join(zero,meet(zero,converse(zero)))
| join(zero,meet(zero,converse(zero))) != zero
| join(zero,meet(converse(zero),complement(top))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(converse(zero),complement(top))))),bind(Y,$fot(join(zero,meet(zero,converse(zero))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1442,plain,
( join(zero,meet(zero,converse(zero))) != zero
| join(zero,meet(converse(zero),complement(top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(zero,converse(zero)))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
join(zero,meet(converse(zero),complement(top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(zero,converse(zero))),zero) )],[refute_0_1428,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(top)))
| join(zero,meet(converse(zero),complement(top))) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,meet(converse(zero),complement(top))))]]) ).
cnf(refute_0_1445,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(top)))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),zero) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_1389,refute_0_1445]) ).
cnf(refute_0_1447,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1448,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1449,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1449]) ).
cnf(refute_0_1451,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1452,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1446,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))))]]) ).
cnf(refute_0_1455,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) != join(converse(complement(top)),complement(meet(one,converse(converse(X_13)))))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,converse(converse(X_13))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),join(converse(complement(top)),complement(meet(one,converse(converse(X_13)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1456,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,converse(converse(X_13))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),join(converse(complement(top)),complement(meet(one,converse(converse(X_13)))))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,converse(converse(X_13))))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) != join(zero,complement(meet(one,converse(converse(X_13)))))
| join(zero,complement(meet(one,converse(converse(X_13))))) != join(zero,complement(meet(one,X_13)))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))))),bind(Y,$fot(join(zero,complement(meet(one,converse(converse(X_13))))))),bind(Z,$fot(join(zero,complement(meet(one,X_13)))))]]) ).
cnf(refute_0_1459,plain,
( join(zero,complement(meet(one,converse(converse(X_13))))) != join(zero,complement(meet(one,X_13)))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),join(zero,complement(meet(one,converse(converse(X_13)))))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = join(zero,complement(meet(one,X_13))),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(one,converse(converse(X_13))))),join(zero,complement(meet(one,X_13)))) )],[refute_0_1337,refute_0_1459]) ).
cnf(refute_0_1461,plain,
( join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) != join(zero,complement(meet(one,X_13)))
| join(zero,complement(meet(one,X_13))) != complement(meet(one,X_13))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = complement(meet(one,X_13)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))))),bind(Y,$fot(join(zero,complement(meet(one,X_13))))),bind(Z,$fot(complement(meet(one,X_13))))]]) ).
cnf(refute_0_1462,plain,
( join(zero,complement(meet(one,X_13))) != complement(meet(one,X_13))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = complement(meet(one,X_13)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),join(zero,complement(meet(one,X_13)))) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) = complement(meet(one,X_13)),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(one,X_13))),complement(meet(one,X_13))) )],[refute_0_1324,refute_0_1462]) ).
cnf(refute_0_1464,plain,
converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) = join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),
inference(subst,[],[refute_0_693:[bind(A,$fot(complement(meet(one,converse(converse(X_13)))))),bind(X_13,$fot(complement(top)))]]) ).
cnf(refute_0_1465,plain,
( converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) != join(converse(complement(top)),complement(meet(one,converse(converse(X_13)))))
| join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) != complement(meet(one,X_13))
| converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) = complement(meet(one,X_13)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))),bind(Y,$fot(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))))),bind(Z,$fot(complement(meet(one,X_13))))]]) ).
cnf(refute_0_1466,plain,
( join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))) != complement(meet(one,X_13))
| converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) = complement(meet(one,X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))),join(converse(complement(top)),complement(meet(one,converse(converse(X_13)))))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) = complement(meet(one,X_13)),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(meet(one,converse(converse(X_13))))),complement(meet(one,X_13))) )],[refute_0_1463,refute_0_1466]) ).
cnf(refute_0_1468,plain,
join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) = join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))),
introduced(tautology,[refl,[$fot(join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))))]]) ).
cnf(refute_0_1469,plain,
( converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) != complement(meet(one,X_13))
| join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) != join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))
| join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) = join(X_13,complement(meet(one,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))),join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))) ),[1,1],$fot(complement(meet(one,X_13)))]]) ).
cnf(refute_0_1470,plain,
( converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))) != complement(meet(one,X_13))
| join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) = join(X_13,complement(meet(one,X_13))) ),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))),join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) = join(X_13,complement(meet(one,X_13))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))),complement(meet(one,X_13))) )],[refute_0_1467,refute_0_1470]) ).
cnf(refute_0_1472,plain,
converse(join(converse(A),join(X_70,X_69))) = join(A,converse(join(X_70,X_69))),
inference(subst,[],[refute_0_635:[bind(X_14,$fot(join(X_70,X_69)))]]) ).
cnf(refute_0_1473,plain,
( converse(join(X_70,X_69)) != converse(join(X_69,X_70))
| converse(join(converse(A),join(X_70,X_69))) != join(A,converse(join(X_70,X_69)))
| converse(join(converse(A),join(X_70,X_69))) = join(A,converse(join(X_69,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_70,X_69))),join(A,converse(join(X_70,X_69)))) ),[1,1],$fot(converse(join(X_69,X_70)))]]) ).
cnf(refute_0_1474,plain,
( converse(join(converse(A),join(X_70,X_69))) != join(A,converse(join(X_70,X_69)))
| converse(join(converse(A),join(X_70,X_69))) = join(A,converse(join(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(converse(join(X_70,X_69)),converse(join(X_69,X_70))) )],[refute_0_644,refute_0_1473]) ).
cnf(refute_0_1475,plain,
converse(join(converse(A),join(X_70,X_69))) = join(A,converse(join(X_69,X_70))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_70,X_69))),join(A,converse(join(X_70,X_69)))) )],[refute_0_1472,refute_0_1474]) ).
cnf(refute_0_1476,plain,
( converse(join(converse(A),join(X_70,X_69))) != join(A,converse(join(X_69,X_70)))
| converse(join(converse(A),join(X_70,X_69))) != join(A,converse(join(X_70,X_69)))
| join(A,converse(join(X_70,X_69))) = join(A,converse(join(X_69,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_70,X_69))),join(A,converse(join(X_69,X_70)))) ),[0],$fot(join(A,converse(join(X_70,X_69))))]]) ).
cnf(refute_0_1477,plain,
( converse(join(converse(A),join(X_70,X_69))) != join(A,converse(join(X_69,X_70)))
| join(A,converse(join(X_70,X_69))) = join(A,converse(join(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_70,X_69))),join(A,converse(join(X_70,X_69)))) )],[refute_0_1472,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(A,converse(join(X_70,X_69))) = join(A,converse(join(X_69,X_70))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_70,X_69))),join(A,converse(join(X_69,X_70)))) )],[refute_0_1475,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( join(A,converse(join(X_70,X_69))) != join(A,converse(join(X_69,X_70)))
| join(A,converse(join(X_69,X_70))) = join(A,converse(join(X_70,X_69))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(X_70,X_69))))),bind(Y,$fot(join(A,converse(join(X_69,X_70)))))]]) ).
cnf(refute_0_1480,plain,
join(A,converse(join(X_69,X_70))) = join(A,converse(join(X_70,X_69))),
inference(resolve,[$cnf( $equal(join(A,converse(join(X_70,X_69))),join(A,converse(join(X_69,X_70)))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) = join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))),
inference(subst,[],[refute_0_1480:[bind(A,$fot(X_13)),bind(X_69,$fot(converse(complement(meet(one,converse(converse(X_13))))))),bind(X_70,$fot(complement(top)))]]) ).
cnf(refute_0_1482,plain,
( join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) != join(X_13,complement(meet(one,X_13)))
| join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) != join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))
| join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) = join(X_13,complement(meet(one,X_13))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))))),bind(Y,$fot(join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))))),bind(Z,$fot(join(X_13,complement(meet(one,X_13)))))]]) ).
cnf(refute_0_1483,plain,
( join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))) != join(X_13,complement(meet(one,X_13)))
| join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) = join(X_13,complement(meet(one,X_13))) ),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))),join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13))))))))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) = join(X_13,complement(meet(one,X_13))),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(complement(top),converse(complement(meet(one,converse(converse(X_13)))))))),join(X_13,complement(meet(one,X_13)))) )],[refute_0_1471,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))) != join(X_13,complement(meet(one,X_13)))
| top != join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top))))
| top = join(X_13,complement(meet(one,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top))))) ),[1],$fot(join(X_13,complement(meet(one,X_13))))]]) ).
cnf(refute_0_1486,plain,
( top != join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top))))
| top = join(X_13,complement(meet(one,X_13))) ),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top)))),join(X_13,complement(meet(one,X_13)))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
top = join(X_13,complement(meet(one,X_13))),
inference(resolve,[$cnf( $equal(top,join(X_13,converse(join(converse(complement(meet(one,converse(converse(X_13))))),complement(top))))) )],[refute_0_1323,refute_0_1486]) ).
cnf(refute_0_1488,plain,
top = join(complement(X_34),complement(meet(one,complement(X_34)))),
inference(subst,[],[refute_0_1487:[bind(X_13,$fot(complement(X_34)))]]) ).
cnf(refute_0_1489,plain,
( top != join(complement(X_34),complement(meet(one,complement(X_34))))
| join(complement(X_34),complement(meet(one,complement(X_34)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_34),complement(meet(one,complement(X_34))))))]]) ).
cnf(refute_0_1490,plain,
join(complement(X_34),complement(meet(one,complement(X_34)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_34),complement(meet(one,complement(X_34))))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
( X_34 != join(meet(complement(meet(one,complement(X_34))),X_34),complement(join(complement(X_34),complement(meet(one,complement(X_34))))))
| join(complement(X_34),complement(meet(one,complement(X_34)))) != top
| X_34 = join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(meet(complement(meet(one,complement(X_34))),X_34),complement(join(complement(X_34),complement(meet(one,complement(X_34))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1492,plain,
( X_34 != join(meet(complement(meet(one,complement(X_34))),X_34),complement(join(complement(X_34),complement(meet(one,complement(X_34))))))
| X_34 = join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(meet(one,complement(X_34)))),top) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
X_34 = join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)),
inference(resolve,[$cnf( $equal(X_34,join(meet(complement(meet(one,complement(X_34))),X_34),complement(join(complement(X_34),complement(meet(one,complement(X_34))))))) )],[refute_0_1216,refute_0_1492]) ).
cnf(refute_0_1494,plain,
join(zero,meet(X_34,complement(meet(one,complement(X_34))))) = meet(X_34,complement(meet(one,complement(X_34)))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(X_34,complement(meet(one,complement(X_34))))))]]) ).
cnf(refute_0_1495,plain,
meet(complement(meet(one,complement(X_34))),X_34) = meet(X_34,complement(meet(one,complement(X_34)))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(X_34)),bind(X_7,$fot(complement(meet(one,complement(X_34)))))]]) ).
cnf(refute_0_1496,plain,
join(zero,meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(complement(meet(one,complement(X_34))),X_34)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(one,complement(X_34))),X_34)))]]) ).
cnf(refute_0_1497,plain,
( join(zero,meet(complement(meet(one,complement(X_34))),X_34)) != join(zero,meet(complement(meet(one,complement(X_34))),X_34))
| meet(complement(meet(one,complement(X_34))),X_34) != meet(X_34,complement(meet(one,complement(X_34))))
| join(zero,meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(one,complement(X_34))),X_34)),join(zero,meet(complement(meet(one,complement(X_34))),X_34))) ),[1,1],$fot(meet(X_34,complement(meet(one,complement(X_34)))))]]) ).
cnf(refute_0_1498,plain,
( meet(complement(meet(one,complement(X_34))),X_34) != meet(X_34,complement(meet(one,complement(X_34))))
| join(zero,meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(one,complement(X_34))),X_34)),join(zero,meet(complement(meet(one,complement(X_34))),X_34))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(zero,meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(X_34))),X_34),meet(X_34,complement(meet(one,complement(X_34))))) )],[refute_0_1495,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)))]]) ).
cnf(refute_0_1501,plain,
( complement(top) != zero
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) != join(complement(top),meet(complement(meet(one,complement(X_34))),X_34))
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(complement(meet(one,complement(X_34))),X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),join(complement(top),meet(complement(meet(one,complement(X_34))),X_34))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1502,plain,
( complement(top) != zero
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(complement(meet(one,complement(X_34))),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),join(complement(top),meet(complement(meet(one,complement(X_34))),X_34))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(complement(meet(one,complement(X_34))),X_34)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1502]) ).
cnf(refute_0_1504,plain,
( join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) != join(zero,meet(complement(meet(one,complement(X_34))),X_34))
| join(zero,meet(complement(meet(one,complement(X_34))),X_34)) != join(zero,meet(X_34,complement(meet(one,complement(X_34)))))
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)))),bind(Y,$fot(join(zero,meet(complement(meet(one,complement(X_34))),X_34)))),bind(Z,$fot(join(zero,meet(X_34,complement(meet(one,complement(X_34)))))))]]) ).
cnf(refute_0_1505,plain,
( join(zero,meet(complement(meet(one,complement(X_34))),X_34)) != join(zero,meet(X_34,complement(meet(one,complement(X_34)))))
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),join(zero,meet(complement(meet(one,complement(X_34))),X_34))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = join(zero,meet(X_34,complement(meet(one,complement(X_34))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(one,complement(X_34))),X_34)),join(zero,meet(X_34,complement(meet(one,complement(X_34)))))) )],[refute_0_1499,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) != join(zero,meet(X_34,complement(meet(one,complement(X_34)))))
| join(zero,meet(X_34,complement(meet(one,complement(X_34))))) != meet(X_34,complement(meet(one,complement(X_34))))
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = meet(X_34,complement(meet(one,complement(X_34)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)))),bind(Y,$fot(join(zero,meet(X_34,complement(meet(one,complement(X_34))))))),bind(Z,$fot(meet(X_34,complement(meet(one,complement(X_34))))))]]) ).
cnf(refute_0_1508,plain,
( join(zero,meet(X_34,complement(meet(one,complement(X_34))))) != meet(X_34,complement(meet(one,complement(X_34))))
| join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = meet(X_34,complement(meet(one,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),join(zero,meet(X_34,complement(meet(one,complement(X_34)))))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) = meet(X_34,complement(meet(one,complement(X_34)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_34,complement(meet(one,complement(X_34))))),meet(X_34,complement(meet(one,complement(X_34))))) )],[refute_0_1494,refute_0_1508]) ).
cnf(refute_0_1510,plain,
join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) = join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(complement(meet(one,complement(X_34))),X_34)))]]) ).
cnf(refute_0_1511,plain,
( join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) != meet(X_34,complement(meet(one,complement(X_34))))
| join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) != join(complement(top),meet(complement(meet(one,complement(X_34))),X_34))
| join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) = meet(X_34,complement(meet(one,complement(X_34)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)))),bind(Y,$fot(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)))),bind(Z,$fot(meet(X_34,complement(meet(one,complement(X_34))))))]]) ).
cnf(refute_0_1512,plain,
( join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)) != meet(X_34,complement(meet(one,complement(X_34))))
| join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) = meet(X_34,complement(meet(one,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)),join(complement(top),meet(complement(meet(one,complement(X_34))),X_34))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) = meet(X_34,complement(meet(one,complement(X_34)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(one,complement(X_34))),X_34)),meet(X_34,complement(meet(one,complement(X_34))))) )],[refute_0_1509,refute_0_1512]) ).
cnf(refute_0_1514,plain,
( X_34 != join(meet(complement(meet(one,complement(X_34))),X_34),complement(top))
| join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)) != meet(X_34,complement(meet(one,complement(X_34))))
| X_34 = meet(X_34,complement(meet(one,complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_34,meet(X_34,complement(meet(one,complement(X_34))))) ),[0],$fot(join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)))]]) ).
cnf(refute_0_1515,plain,
( X_34 != join(meet(complement(meet(one,complement(X_34))),X_34),complement(top))
| X_34 = meet(X_34,complement(meet(one,complement(X_34)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(X_34))),X_34),complement(top)),meet(X_34,complement(meet(one,complement(X_34))))) )],[refute_0_1513,refute_0_1514]) ).
cnf(refute_0_1516,plain,
X_34 = meet(X_34,complement(meet(one,complement(X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(meet(complement(meet(one,complement(X_34))),X_34),complement(top))) )],[refute_0_1493,refute_0_1515]) ).
cnf(refute_0_1517,plain,
join(complement(X_294),X_295) = meet(join(complement(X_294),X_295),complement(meet(one,complement(join(complement(X_294),X_295))))),
inference(subst,[],[refute_0_1516:[bind(X_34,$fot(join(complement(X_294),X_295)))]]) ).
cnf(refute_0_1518,plain,
meet(X_294,complement(X_295)) = complement(join(complement(X_294),X_295)),
inference(subst,[],[refute_0_616:[bind(X_288,$fot(X_294)),bind(X_290,$fot(X_295))]]) ).
cnf(refute_0_1519,plain,
( meet(X_294,complement(X_295)) != complement(join(complement(X_294),X_295))
| complement(join(complement(X_294),X_295)) = meet(X_294,complement(X_295)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_294,complement(X_295)))),bind(Y,$fot(complement(join(complement(X_294),X_295))))]]) ).
cnf(refute_0_1520,plain,
complement(join(complement(X_294),X_295)) = meet(X_294,complement(X_295)),
inference(resolve,[$cnf( $equal(meet(X_294,complement(X_295)),complement(join(complement(X_294),X_295))) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
( complement(join(complement(X_294),X_295)) != meet(X_294,complement(X_295))
| join(complement(X_294),X_295) != meet(join(complement(X_294),X_295),complement(meet(one,complement(join(complement(X_294),X_295)))))
| join(complement(X_294),X_295) = meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_294),X_295),meet(join(complement(X_294),X_295),complement(meet(one,complement(join(complement(X_294),X_295)))))) ),[1,1,0,1],$fot(meet(X_294,complement(X_295)))]]) ).
cnf(refute_0_1522,plain,
( join(complement(X_294),X_295) != meet(join(complement(X_294),X_295),complement(meet(one,complement(join(complement(X_294),X_295)))))
| join(complement(X_294),X_295) = meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_294),X_295)),meet(X_294,complement(X_295))) )],[refute_0_1520,refute_0_1521]) ).
cnf(refute_0_1523,plain,
join(complement(X_294),X_295) = meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),meet(join(complement(X_294),X_295),complement(meet(one,complement(join(complement(X_294),X_295)))))) )],[refute_0_1517,refute_0_1522]) ).
cnf(refute_0_1524,plain,
meet(join(complement(X_294),X_295),complement(X_290)) = complement(join(complement(join(complement(X_294),X_295)),X_290)),
inference(subst,[],[refute_0_616:[bind(X_288,$fot(join(complement(X_294),X_295)))]]) ).
cnf(refute_0_1525,plain,
( complement(join(complement(X_294),X_295)) != meet(X_294,complement(X_295))
| meet(join(complement(X_294),X_295),complement(X_290)) != complement(join(complement(join(complement(X_294),X_295)),X_290))
| meet(join(complement(X_294),X_295),complement(X_290)) = complement(join(meet(X_294,complement(X_295)),X_290)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_294),X_295),complement(X_290)),complement(join(complement(join(complement(X_294),X_295)),X_290))) ),[1,0,0],$fot(meet(X_294,complement(X_295)))]]) ).
cnf(refute_0_1526,plain,
( meet(join(complement(X_294),X_295),complement(X_290)) != complement(join(complement(join(complement(X_294),X_295)),X_290))
| meet(join(complement(X_294),X_295),complement(X_290)) = complement(join(meet(X_294,complement(X_295)),X_290)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_294),X_295)),meet(X_294,complement(X_295))) )],[refute_0_1520,refute_0_1525]) ).
cnf(refute_0_1527,plain,
meet(join(complement(X_294),X_295),complement(X_290)) = complement(join(meet(X_294,complement(X_295)),X_290)),
inference(resolve,[$cnf( $equal(meet(join(complement(X_294),X_295),complement(X_290)),complement(join(complement(join(complement(X_294),X_295)),X_290))) )],[refute_0_1524,refute_0_1526]) ).
cnf(refute_0_1528,plain,
meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))) = complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))),
inference(subst,[],[refute_0_1527:[bind(X_290,$fot(meet(one,meet(X_294,complement(X_295)))))]]) ).
cnf(refute_0_1529,plain,
( join(complement(X_294),X_295) != meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295)))))
| meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))) != complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))
| join(complement(X_294),X_295) = complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_294),X_295),complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))) ),[0],$fot(meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))))]]) ).
cnf(refute_0_1530,plain,
( join(complement(X_294),X_295) != meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295)))))
| join(complement(X_294),X_295) = complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295))))),complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
join(complement(X_294),X_295) = complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),meet(join(complement(X_294),X_295),complement(meet(one,meet(X_294,complement(X_295)))))) )],[refute_0_1523,refute_0_1530]) ).
cnf(refute_0_1532,plain,
complement(B) = join(complement(join(B,meet(one,complement(complement(B))))),meet(complement(B),meet(one,complement(complement(B))))),
inference(subst,[],[refute_0_1037:[bind(X_35,$fot(meet(one,complement(complement(B)))))]]) ).
cnf(refute_0_1533,plain,
meet(X_294,complement(complement(meet(one,complement(X_294))))) = complement(join(complement(X_294),complement(meet(one,complement(X_294))))),
inference(subst,[],[refute_0_616:[bind(X_288,$fot(X_294)),bind(X_290,$fot(complement(meet(one,complement(X_294)))))]]) ).
cnf(refute_0_1534,plain,
top = join(complement(X_294),complement(meet(one,complement(X_294)))),
inference(subst,[],[refute_0_1487:[bind(X_13,$fot(complement(X_294)))]]) ).
cnf(refute_0_1535,plain,
( top != join(complement(X_294),complement(meet(one,complement(X_294))))
| join(complement(X_294),complement(meet(one,complement(X_294)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_294),complement(meet(one,complement(X_294))))))]]) ).
cnf(refute_0_1536,plain,
join(complement(X_294),complement(meet(one,complement(X_294)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_294),complement(meet(one,complement(X_294))))) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
( join(complement(X_294),complement(meet(one,complement(X_294)))) != top
| meet(X_294,complement(complement(meet(one,complement(X_294))))) != complement(join(complement(X_294),complement(meet(one,complement(X_294)))))
| meet(X_294,complement(complement(meet(one,complement(X_294))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),complement(join(complement(X_294),complement(meet(one,complement(X_294)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1538,plain,
( meet(X_294,complement(complement(meet(one,complement(X_294))))) != complement(join(complement(X_294),complement(meet(one,complement(X_294)))))
| meet(X_294,complement(complement(meet(one,complement(X_294))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),complement(meet(one,complement(X_294)))),top) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
meet(X_294,complement(complement(meet(one,complement(X_294))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),complement(join(complement(X_294),complement(meet(one,complement(X_294)))))) )],[refute_0_1533,refute_0_1538]) ).
cnf(refute_0_1540,plain,
complement(complement(meet(one,complement(X_294)))) = meet(one,complement(X_294)),
inference(subst,[],[refute_0_1138:[bind(X_65,$fot(meet(one,complement(X_294))))]]) ).
cnf(refute_0_1541,plain,
meet(X_294,complement(complement(meet(one,complement(X_294))))) = meet(X_294,complement(complement(meet(one,complement(X_294))))),
introduced(tautology,[refl,[$fot(meet(X_294,complement(complement(meet(one,complement(X_294))))))]]) ).
cnf(refute_0_1542,plain,
( complement(complement(meet(one,complement(X_294)))) != meet(one,complement(X_294))
| meet(X_294,complement(complement(meet(one,complement(X_294))))) != meet(X_294,complement(complement(meet(one,complement(X_294)))))
| meet(X_294,complement(complement(meet(one,complement(X_294))))) = meet(X_294,meet(one,complement(X_294))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),meet(X_294,complement(complement(meet(one,complement(X_294)))))) ),[1,1],$fot(meet(one,complement(X_294)))]]) ).
cnf(refute_0_1543,plain,
( complement(complement(meet(one,complement(X_294)))) != meet(one,complement(X_294))
| meet(X_294,complement(complement(meet(one,complement(X_294))))) = meet(X_294,meet(one,complement(X_294))) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),meet(X_294,complement(complement(meet(one,complement(X_294)))))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
meet(X_294,complement(complement(meet(one,complement(X_294))))) = meet(X_294,meet(one,complement(X_294))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(X_294)))),meet(one,complement(X_294))) )],[refute_0_1540,refute_0_1543]) ).
cnf(refute_0_1545,plain,
( meet(X_294,complement(complement(meet(one,complement(X_294))))) != complement(top)
| meet(X_294,complement(complement(meet(one,complement(X_294))))) != meet(X_294,meet(one,complement(X_294)))
| meet(X_294,meet(one,complement(X_294))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),complement(top)) ),[0],$fot(meet(X_294,meet(one,complement(X_294))))]]) ).
cnf(refute_0_1546,plain,
( meet(X_294,complement(complement(meet(one,complement(X_294))))) != complement(top)
| meet(X_294,meet(one,complement(X_294))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),meet(X_294,meet(one,complement(X_294)))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
( complement(top) != zero
| meet(X_294,meet(one,complement(X_294))) != complement(top)
| meet(X_294,meet(one,complement(X_294))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,meet(one,complement(X_294))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1548,plain,
( meet(X_294,meet(one,complement(X_294))) != complement(top)
| meet(X_294,meet(one,complement(X_294))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1547]) ).
cnf(refute_0_1549,plain,
( meet(X_294,complement(complement(meet(one,complement(X_294))))) != complement(top)
| meet(X_294,meet(one,complement(X_294))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_294,meet(one,complement(X_294))),complement(top)) )],[refute_0_1546,refute_0_1548]) ).
cnf(refute_0_1550,plain,
meet(X_294,meet(one,complement(X_294))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(complement(meet(one,complement(X_294))))),complement(top)) )],[refute_0_1539,refute_0_1549]) ).
cnf(refute_0_1551,plain,
meet(complement(B),meet(one,complement(complement(B)))) = zero,
inference(subst,[],[refute_0_1550:[bind(X_294,$fot(complement(B)))]]) ).
cnf(refute_0_1552,plain,
( complement(B) != join(complement(join(B,meet(one,complement(complement(B))))),meet(complement(B),meet(one,complement(complement(B)))))
| meet(complement(B),meet(one,complement(complement(B)))) != zero
| complement(B) = join(complement(join(B,meet(one,complement(complement(B))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(B),join(complement(join(B,meet(one,complement(complement(B))))),meet(complement(B),meet(one,complement(complement(B)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1553,plain,
( complement(B) != join(complement(join(B,meet(one,complement(complement(B))))),meet(complement(B),meet(one,complement(complement(B)))))
| complement(B) = join(complement(join(B,meet(one,complement(complement(B))))),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(B),meet(one,complement(complement(B)))),zero) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
complement(B) = join(complement(join(B,meet(one,complement(complement(B))))),zero),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(B,meet(one,complement(complement(B))))),meet(complement(B),meet(one,complement(complement(B)))))) )],[refute_0_1532,refute_0_1553]) ).
cnf(refute_0_1555,plain,
meet(one,complement(complement(B))) = meet(one,complement(complement(B))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(B))))]]) ).
cnf(refute_0_1556,plain,
( complement(complement(B)) != B
| meet(one,complement(complement(B))) != meet(one,complement(complement(B)))
| meet(one,complement(complement(B))) = meet(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,complement(complement(B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_1557,plain,
( complement(complement(B)) != B
| meet(one,complement(complement(B))) = meet(one,B) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,complement(complement(B)))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
meet(one,complement(complement(B))) = meet(one,B),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_1139,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(B,meet(one,complement(complement(B)))) = join(B,meet(one,complement(complement(B)))),
introduced(tautology,[refl,[$fot(join(B,meet(one,complement(complement(B)))))]]) ).
cnf(refute_0_1560,plain,
( join(B,meet(one,complement(complement(B)))) != join(B,meet(one,complement(complement(B))))
| meet(one,complement(complement(B))) != meet(one,B)
| join(B,meet(one,complement(complement(B)))) = join(B,meet(one,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(one,complement(complement(B)))),join(B,meet(one,complement(complement(B))))) ),[1,1],$fot(meet(one,B))]]) ).
cnf(refute_0_1561,plain,
( meet(one,complement(complement(B))) != meet(one,B)
| join(B,meet(one,complement(complement(B)))) = join(B,meet(one,B)) ),
inference(resolve,[$cnf( $equal(join(B,meet(one,complement(complement(B)))),join(B,meet(one,complement(complement(B))))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
join(B,meet(one,complement(complement(B)))) = join(B,meet(one,B)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,B)) )],[refute_0_1558,refute_0_1561]) ).
cnf(refute_0_1563,plain,
complement(join(B,meet(one,complement(complement(B))))) = complement(join(B,meet(one,complement(complement(B))))),
introduced(tautology,[refl,[$fot(complement(join(B,meet(one,complement(complement(B))))))]]) ).
cnf(refute_0_1564,plain,
( complement(join(B,meet(one,complement(complement(B))))) != complement(join(B,meet(one,complement(complement(B)))))
| join(B,meet(one,complement(complement(B)))) != join(B,meet(one,B))
| complement(join(B,meet(one,complement(complement(B))))) = complement(join(B,meet(one,B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(B,meet(one,complement(complement(B))))),complement(join(B,meet(one,complement(complement(B)))))) ),[1,0],$fot(join(B,meet(one,B)))]]) ).
cnf(refute_0_1565,plain,
( join(B,meet(one,complement(complement(B)))) != join(B,meet(one,B))
| complement(join(B,meet(one,complement(complement(B))))) = complement(join(B,meet(one,B))) ),
inference(resolve,[$cnf( $equal(complement(join(B,meet(one,complement(complement(B))))),complement(join(B,meet(one,complement(complement(B)))))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
complement(join(B,meet(one,complement(complement(B))))) = complement(join(B,meet(one,B))),
inference(resolve,[$cnf( $equal(join(B,meet(one,complement(complement(B)))),join(B,meet(one,B))) )],[refute_0_1562,refute_0_1565]) ).
cnf(refute_0_1567,plain,
join(zero,complement(join(B,meet(one,complement(complement(B)))))) = complement(join(B,meet(one,complement(complement(B))))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(complement(join(B,meet(one,complement(complement(B)))))))]]) ).
cnf(refute_0_1568,plain,
join(complement(join(B,meet(one,complement(complement(B))))),zero) = join(zero,complement(join(B,meet(one,complement(complement(B)))))),
inference(subst,[],[refute_0_803:[bind(X_73,$fot(complement(join(B,meet(one,complement(complement(B))))))),bind(X_74,$fot(zero))]]) ).
cnf(refute_0_1569,plain,
( join(complement(join(B,meet(one,complement(complement(B))))),zero) != join(zero,complement(join(B,meet(one,complement(complement(B))))))
| join(zero,complement(join(B,meet(one,complement(complement(B)))))) != complement(join(B,meet(one,complement(complement(B)))))
| join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,complement(complement(B))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(B,meet(one,complement(complement(B))))),zero))),bind(Y,$fot(join(zero,complement(join(B,meet(one,complement(complement(B)))))))),bind(Z,$fot(complement(join(B,meet(one,complement(complement(B)))))))]]) ).
cnf(refute_0_1570,plain,
( join(zero,complement(join(B,meet(one,complement(complement(B)))))) != complement(join(B,meet(one,complement(complement(B)))))
| join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,complement(complement(B))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,meet(one,complement(complement(B))))),zero),join(zero,complement(join(B,meet(one,complement(complement(B))))))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,complement(complement(B))))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(B,meet(one,complement(complement(B)))))),complement(join(B,meet(one,complement(complement(B)))))) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( complement(join(B,meet(one,complement(complement(B))))) != complement(join(B,meet(one,B)))
| join(complement(join(B,meet(one,complement(complement(B))))),zero) != complement(join(B,meet(one,complement(complement(B)))))
| join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(B,meet(one,complement(complement(B))))),zero))),bind(Y,$fot(complement(join(B,meet(one,complement(complement(B))))))),bind(Z,$fot(complement(join(B,meet(one,B)))))]]) ).
cnf(refute_0_1573,plain,
( complement(join(B,meet(one,complement(complement(B))))) != complement(join(B,meet(one,B)))
| join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,meet(one,complement(complement(B))))),zero),complement(join(B,meet(one,complement(complement(B)))))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(complement(join(B,meet(one,complement(complement(B))))),zero) = complement(join(B,meet(one,B))),
inference(resolve,[$cnf( $equal(complement(join(B,meet(one,complement(complement(B))))),complement(join(B,meet(one,B)))) )],[refute_0_1566,refute_0_1573]) ).
cnf(refute_0_1575,plain,
( complement(B) != join(complement(join(B,meet(one,complement(complement(B))))),zero)
| join(complement(join(B,meet(one,complement(complement(B))))),zero) != complement(join(B,meet(one,B)))
| complement(B) = complement(join(B,meet(one,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),complement(join(B,meet(one,B)))) ),[0],$fot(join(complement(join(B,meet(one,complement(complement(B))))),zero))]]) ).
cnf(refute_0_1576,plain,
( complement(B) != join(complement(join(B,meet(one,complement(complement(B))))),zero)
| complement(B) = complement(join(B,meet(one,B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,meet(one,complement(complement(B))))),zero),complement(join(B,meet(one,B)))) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
complement(B) = complement(join(B,meet(one,B))),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(B,meet(one,complement(complement(B))))),zero)) )],[refute_0_1554,refute_0_1576]) ).
cnf(refute_0_1578,plain,
( complement(B) != complement(join(B,meet(one,B)))
| complement(join(B,meet(one,B))) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(complement(join(B,meet(one,B)))))]]) ).
cnf(refute_0_1579,plain,
complement(join(B,meet(one,B))) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),complement(join(B,meet(one,B)))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))) = complement(meet(X_294,complement(X_295))),
inference(subst,[],[refute_0_1579:[bind(B,$fot(meet(X_294,complement(X_295))))]]) ).
cnf(refute_0_1581,plain,
( complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))) != complement(meet(X_294,complement(X_295)))
| join(complement(X_294),X_295) != complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))
| join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_294),X_295),complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))) ),[1],$fot(complement(meet(X_294,complement(X_295))))]]) ).
cnf(refute_0_1582,plain,
( join(complement(X_294),X_295) != complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))
| join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295))))),complement(meet(X_294,complement(X_295)))) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),complement(join(meet(X_294,complement(X_295)),meet(one,meet(X_294,complement(X_295)))))) )],[refute_0_1531,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( join(complement(X_294),X_295) != complement(meet(X_294,complement(X_295)))
| complement(meet(X_294,complement(X_295))) = join(complement(X_294),X_295) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_294),X_295))),bind(Y,$fot(complement(meet(X_294,complement(X_295)))))]]) ).
cnf(refute_0_1585,plain,
complement(meet(X_294,complement(X_295))) = join(complement(X_294),X_295),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),complement(meet(X_294,complement(X_295)))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
complement(meet(X_301,complement(X_300))) = join(complement(X_301),X_300),
inference(subst,[],[refute_0_1585:[bind(X_294,$fot(X_301)),bind(X_295,$fot(X_300))]]) ).
cnf(refute_0_1587,plain,
meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),
introduced(tautology,[refl,[$fot(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))))]]) ).
cnf(refute_0_1588,plain,
( complement(meet(X_301,complement(X_300))) != join(complement(X_301),X_300)
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) != meet(join(X_300,X_301),complement(meet(X_301,complement(X_300))))
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = meet(join(X_300,X_301),join(complement(X_301),X_300)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),meet(join(X_300,X_301),complement(meet(X_301,complement(X_300))))) ),[1,1],$fot(join(complement(X_301),X_300))]]) ).
cnf(refute_0_1589,plain,
( complement(meet(X_301,complement(X_300))) != join(complement(X_301),X_300)
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = meet(join(X_300,X_301),join(complement(X_301),X_300)) ),
inference(resolve,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),meet(join(X_300,X_301),complement(meet(X_301,complement(X_300))))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) = meet(join(X_300,X_301),join(complement(X_301),X_300)),
inference(resolve,[$cnf( $equal(complement(meet(X_301,complement(X_300))),join(complement(X_301),X_300)) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) != X_300
| meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) != meet(join(X_300,X_301),join(complement(X_301),X_300))
| meet(join(X_300,X_301),join(complement(X_301),X_300)) = X_300 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),X_300) ),[0],$fot(meet(join(X_300,X_301),join(complement(X_301),X_300)))]]) ).
cnf(refute_0_1592,plain,
( meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))) != X_300
| meet(join(X_300,X_301),join(complement(X_301),X_300)) = X_300 ),
inference(resolve,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),meet(join(X_300,X_301),join(complement(X_301),X_300))) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
meet(join(X_300,X_301),join(complement(X_301),X_300)) = X_300,
inference(resolve,[$cnf( $equal(meet(join(X_300,X_301),complement(meet(X_301,complement(X_300)))),X_300) )],[refute_0_1215,refute_0_1592]) ).
cnf(refute_0_1594,plain,
meet(join(converse(complement(converse(complement(X_445)))),X_445),join(complement(X_445),converse(complement(converse(complement(X_445)))))) = converse(complement(converse(complement(X_445)))),
inference(subst,[],[refute_0_1593:[bind(X_300,$fot(converse(complement(converse(complement(X_445)))))),bind(X_301,$fot(X_445))]]) ).
cnf(refute_0_1595,plain,
top = join(complement(X_445),converse(complement(converse(complement(X_445))))),
inference(subst,[],[refute_0_1147:[bind(X_17,$fot(complement(X_445)))]]) ).
cnf(refute_0_1596,plain,
( top != join(complement(X_445),converse(complement(converse(complement(X_445)))))
| join(complement(X_445),converse(complement(converse(complement(X_445))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_445),converse(complement(converse(complement(X_445)))))))]]) ).
cnf(refute_0_1597,plain,
join(complement(X_445),converse(complement(converse(complement(X_445))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_445),converse(complement(converse(complement(X_445)))))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
( join(complement(X_445),converse(complement(converse(complement(X_445))))) != top
| meet(join(converse(complement(converse(complement(X_445)))),X_445),join(complement(X_445),converse(complement(converse(complement(X_445)))))) != converse(complement(converse(complement(X_445))))
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = converse(complement(converse(complement(X_445)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),join(complement(X_445),converse(complement(converse(complement(X_445)))))),converse(complement(converse(complement(X_445))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1599,plain,
( meet(join(converse(complement(converse(complement(X_445)))),X_445),join(complement(X_445),converse(complement(converse(complement(X_445)))))) != converse(complement(converse(complement(X_445))))
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = converse(complement(converse(complement(X_445)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_445),converse(complement(converse(complement(X_445))))),top) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = converse(complement(converse(complement(X_445)))),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),join(complement(X_445),converse(complement(converse(complement(X_445)))))),converse(complement(converse(complement(X_445))))) )],[refute_0_1594,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(converse(complement(converse(complement(X_445)))),X_445) = join(X_445,converse(complement(converse(complement(X_445))))),
inference(subst,[],[refute_0_803:[bind(X_73,$fot(converse(complement(converse(complement(X_445)))))),bind(X_74,$fot(X_445))]]) ).
cnf(refute_0_1602,plain,
meet(top,A) = A,
inference(subst,[],[refute_0_601:[bind(X_35,$fot(A))]]) ).
cnf(refute_0_1603,plain,
( meet(A,top) != meet(top,A)
| meet(top,A) != A
| meet(A,top) = A ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(A,top),A) ),[0],$fot(meet(top,A))]]) ).
cnf(refute_0_1604,plain,
( meet(A,top) != meet(top,A)
| meet(A,top) = A ),
inference(resolve,[$cnf( $equal(meet(top,A),A) )],[refute_0_1602,refute_0_1603]) ).
cnf(refute_0_1605,plain,
meet(A,top) = A,
inference(resolve,[$cnf( $equal(meet(A,top),meet(top,A)) )],[refute_0_200,refute_0_1604]) ).
cnf(refute_0_1606,plain,
meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = join(converse(complement(converse(complement(X_445)))),X_445),
inference(subst,[],[refute_0_1605:[bind(A,$fot(join(converse(complement(converse(complement(X_445)))),X_445)))]]) ).
cnf(refute_0_1607,plain,
( join(converse(complement(converse(complement(X_445)))),X_445) != join(X_445,converse(complement(converse(complement(X_445)))))
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) != join(converse(complement(converse(complement(X_445)))),X_445)
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = join(X_445,converse(complement(converse(complement(X_445))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(converse(complement(converse(complement(X_445)))),X_445),top))),bind(Y,$fot(join(converse(complement(converse(complement(X_445)))),X_445))),bind(Z,$fot(join(X_445,converse(complement(converse(complement(X_445)))))))]]) ).
cnf(refute_0_1608,plain,
( join(converse(complement(converse(complement(X_445)))),X_445) != join(X_445,converse(complement(converse(complement(X_445)))))
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = join(X_445,converse(complement(converse(complement(X_445))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),top),join(converse(complement(converse(complement(X_445)))),X_445)) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
meet(join(converse(complement(converse(complement(X_445)))),X_445),top) = join(X_445,converse(complement(converse(complement(X_445))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(X_445)))),X_445),join(X_445,converse(complement(converse(complement(X_445)))))) )],[refute_0_1601,refute_0_1608]) ).
cnf(refute_0_1610,plain,
( meet(join(converse(complement(converse(complement(X_445)))),X_445),top) != converse(complement(converse(complement(X_445))))
| meet(join(converse(complement(converse(complement(X_445)))),X_445),top) != join(X_445,converse(complement(converse(complement(X_445)))))
| join(X_445,converse(complement(converse(complement(X_445))))) = converse(complement(converse(complement(X_445)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),top),converse(complement(converse(complement(X_445))))) ),[0],$fot(join(X_445,converse(complement(converse(complement(X_445))))))]]) ).
cnf(refute_0_1611,plain,
( meet(join(converse(complement(converse(complement(X_445)))),X_445),top) != converse(complement(converse(complement(X_445))))
| join(X_445,converse(complement(converse(complement(X_445))))) = converse(complement(converse(complement(X_445)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),top),join(X_445,converse(complement(converse(complement(X_445)))))) )],[refute_0_1609,refute_0_1610]) ).
cnf(refute_0_1612,plain,
join(X_445,converse(complement(converse(complement(X_445))))) = converse(complement(converse(complement(X_445)))),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(converse(complement(X_445)))),X_445),top),converse(complement(converse(complement(X_445))))) )],[refute_0_1600,refute_0_1611]) ).
cnf(refute_0_1613,plain,
join(A,converse(complement(converse(complement(A))))) = converse(complement(converse(complement(A)))),
inference(subst,[],[refute_0_1612:[bind(X_445,$fot(A))]]) ).
cnf(refute_0_1614,plain,
complement(converse(converse(A))) = complement(converse(converse(A))),
introduced(tautology,[refl,[$fot(complement(converse(converse(A))))]]) ).
cnf(refute_0_1615,plain,
( complement(converse(converse(A))) != complement(converse(converse(A)))
| converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_1616,plain,
( converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
complement(converse(converse(A))) = complement(A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1616]) ).
cnf(refute_0_1618,plain,
converse(complement(converse(converse(A)))) = converse(complement(converse(converse(A)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(A)))))]]) ).
cnf(refute_0_1619,plain,
( complement(converse(converse(A))) != complement(A)
| converse(complement(converse(converse(A)))) != converse(complement(converse(converse(A))))
| converse(complement(converse(converse(A)))) = converse(complement(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(converse(converse(A))))) ),[1,0],$fot(complement(A))]]) ).
cnf(refute_0_1620,plain,
( complement(converse(converse(A))) != complement(A)
| converse(complement(converse(converse(A)))) = converse(complement(A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(converse(converse(A))))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
converse(complement(converse(converse(A)))) = converse(complement(A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(A)) )],[refute_0_1617,refute_0_1620]) ).
cnf(refute_0_1622,plain,
complement(converse(complement(converse(converse(A))))) = complement(converse(complement(converse(converse(A))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(converse(A))))))]]) ).
cnf(refute_0_1623,plain,
( complement(converse(complement(converse(converse(A))))) != complement(converse(complement(converse(converse(A)))))
| converse(complement(converse(converse(A)))) != converse(complement(A))
| complement(converse(complement(converse(converse(A))))) = complement(converse(complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(converse(A))))),complement(converse(complement(converse(converse(A)))))) ),[1,0],$fot(converse(complement(A)))]]) ).
cnf(refute_0_1624,plain,
( converse(complement(converse(converse(A)))) != converse(complement(A))
| complement(converse(complement(converse(converse(A))))) = complement(converse(complement(A))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(A))))),complement(converse(complement(converse(converse(A)))))) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
complement(converse(complement(converse(converse(A))))) = complement(converse(complement(A))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(A))) )],[refute_0_1621,refute_0_1624]) ).
cnf(refute_0_1626,plain,
converse(complement(converse(complement(converse(converse(A)))))) = converse(complement(converse(complement(converse(converse(A)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(converse(A)))))))]]) ).
cnf(refute_0_1627,plain,
( complement(converse(complement(converse(converse(A))))) != complement(converse(complement(A)))
| converse(complement(converse(complement(converse(converse(A)))))) != converse(complement(converse(complement(converse(converse(A))))))
| converse(complement(converse(complement(converse(converse(A)))))) = converse(complement(converse(complement(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(converse(A)))))),converse(complement(converse(complement(converse(converse(A))))))) ),[1,0],$fot(complement(converse(complement(A))))]]) ).
cnf(refute_0_1628,plain,
( complement(converse(complement(converse(converse(A))))) != complement(converse(complement(A)))
| converse(complement(converse(complement(converse(converse(A)))))) = converse(complement(converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(A)))))),converse(complement(converse(complement(converse(converse(A))))))) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
converse(complement(converse(complement(converse(converse(A)))))) = converse(complement(converse(complement(A)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(A))))),complement(converse(complement(A)))) )],[refute_0_1625,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(A,converse(complement(converse(complement(converse(converse(A))))))) = join(A,converse(complement(converse(complement(converse(converse(A))))))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(converse(complement(converse(converse(A))))))))]]) ).
cnf(refute_0_1631,plain,
( converse(complement(converse(complement(converse(converse(A)))))) != converse(complement(converse(complement(A))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) = join(A,converse(complement(converse(complement(A))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(complement(converse(converse(A))))))),join(A,converse(complement(converse(complement(converse(converse(A)))))))) ),[1,1],$fot(converse(complement(converse(complement(A)))))]]) ).
cnf(refute_0_1632,plain,
( converse(complement(converse(complement(converse(converse(A)))))) != converse(complement(converse(complement(A))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) = join(A,converse(complement(converse(complement(A))))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(complement(converse(converse(A))))))),join(A,converse(complement(converse(complement(converse(converse(A)))))))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
join(A,converse(complement(converse(complement(converse(converse(A))))))) = join(A,converse(complement(converse(complement(A))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(A)))))),converse(complement(converse(complement(A))))) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( join(A,converse(complement(converse(complement(A))))) != converse(complement(converse(complement(A))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) != join(A,converse(complement(converse(complement(A)))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) = converse(complement(converse(complement(A)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(A,converse(complement(converse(complement(converse(converse(A))))))))),bind(Y,$fot(join(A,converse(complement(converse(complement(A))))))),bind(Z,$fot(converse(complement(converse(complement(A))))))]]) ).
cnf(refute_0_1635,plain,
( join(A,converse(complement(converse(complement(A))))) != converse(complement(converse(complement(A))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) = converse(complement(converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(complement(converse(converse(A))))))),join(A,converse(complement(converse(complement(A)))))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
join(A,converse(complement(converse(complement(converse(converse(A))))))) = converse(complement(converse(complement(A)))),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(complement(A))))),converse(complement(converse(complement(A))))) )],[refute_0_1613,refute_0_1635]) ).
cnf(refute_0_1637,plain,
( A != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| join(A,converse(complement(converse(complement(converse(converse(A))))))) != converse(complement(converse(complement(A))))
| A = converse(complement(converse(complement(A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,converse(complement(converse(complement(A))))) ),[0],$fot(join(A,converse(complement(converse(complement(converse(converse(A))))))))]]) ).
cnf(refute_0_1638,plain,
( A != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| A = converse(complement(converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(complement(converse(converse(A))))))),converse(complement(converse(complement(A))))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
( converse(converse(A)) != join(A,converse(complement(converse(complement(converse(converse(A)))))))
| A = converse(complement(converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(A,join(A,converse(complement(converse(complement(converse(converse(A)))))))) )],[refute_0_1208,refute_0_1638]) ).
cnf(refute_0_1640,plain,
A = converse(complement(converse(complement(A)))),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(complement(converse(complement(converse(converse(A)))))))) )],[refute_0_1206,refute_0_1639]) ).
cnf(refute_0_1641,plain,
X_486 = converse(complement(converse(complement(X_486)))),
inference(subst,[],[refute_0_1640:[bind(A,$fot(X_486))]]) ).
cnf(refute_0_1642,plain,
( X_486 != converse(complement(converse(complement(X_486))))
| converse(complement(converse(complement(X_486)))) = X_486 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_486)),bind(Y,$fot(converse(complement(converse(complement(X_486))))))]]) ).
cnf(refute_0_1643,plain,
converse(complement(converse(complement(X_486)))) = X_486,
inference(resolve,[$cnf( $equal(X_486,converse(complement(converse(complement(X_486))))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( converse(complement(converse(complement(X_486)))) != X_486
| converse(converse(complement(converse(complement(X_486))))) != complement(converse(complement(X_486)))
| converse(X_486) = complement(converse(complement(X_486))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(X_486))))),complement(converse(complement(X_486)))) ),[0,0],$fot(X_486)]]) ).
cnf(refute_0_1645,plain,
( converse(converse(complement(converse(complement(X_486))))) != complement(converse(complement(X_486)))
| converse(X_486) = complement(converse(complement(X_486))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_486)))),X_486) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
converse(X_486) = complement(converse(complement(X_486))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(X_486))))),complement(converse(complement(X_486)))) )],[refute_0_961,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( converse(X_486) != complement(converse(complement(X_486)))
| complement(converse(complement(X_486))) = converse(X_486) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(X_486))),bind(Y,$fot(complement(converse(complement(X_486)))))]]) ).
cnf(refute_0_1648,plain,
complement(converse(complement(X_486))) = converse(X_486),
inference(resolve,[$cnf( $equal(converse(X_486),complement(converse(complement(X_486)))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
complement(converse(complement(meet(X_563,X_564)))) = converse(meet(X_563,X_564)),
inference(subst,[],[refute_0_1648:[bind(X_486,$fot(meet(X_563,X_564)))]]) ).
cnf(refute_0_1650,plain,
meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))))]]) ).
cnf(refute_0_1651,plain,
( complement(converse(complement(meet(X_563,X_564)))) != converse(meet(X_563,X_564))
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) != meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564)))))
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = meet(converse(complement(X_564)),converse(meet(X_563,X_564))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564)))))) ),[1,1],$fot(converse(meet(X_563,X_564)))]]) ).
cnf(refute_0_1652,plain,
( complement(converse(complement(meet(X_563,X_564)))) != converse(meet(X_563,X_564))
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = meet(converse(complement(X_564)),converse(meet(X_563,X_564))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564)))))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) = meet(converse(complement(X_564)),converse(meet(X_563,X_564))),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(X_563,X_564)))),converse(meet(X_563,X_564))) )],[refute_0_1649,refute_0_1652]) ).
cnf(refute_0_1654,plain,
( meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) != meet(converse(complement(X_564)),converse(meet(X_563,X_564)))
| meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) != zero
| meet(converse(complement(X_564)),converse(meet(X_563,X_564))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),zero) ),[0],$fot(meet(converse(complement(X_564)),converse(meet(X_563,X_564))))]]) ).
cnf(refute_0_1655,plain,
( meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))) != zero
| meet(converse(complement(X_564)),converse(meet(X_563,X_564))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),meet(converse(complement(X_564)),converse(meet(X_563,X_564)))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
meet(converse(complement(X_564)),converse(meet(X_563,X_564))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(X_564)),complement(converse(complement(meet(X_563,X_564))))),zero) )],[refute_0_960,refute_0_1655]) ).
cnf(refute_0_1657,plain,
meet(converse(complement(converse(complement(converse(X_254))))),converse(meet(complement(X_254),converse(complement(converse(X_254)))))) = zero,
inference(subst,[],[refute_0_1656:[bind(X_563,$fot(complement(X_254))),bind(X_564,$fot(converse(complement(converse(X_254)))))]]) ).
cnf(refute_0_1658,plain,
complement(X_254) = join(complement(join(X_254,converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254))))),
inference(subst,[],[refute_0_1037:[bind(B,$fot(X_254)),bind(X_35,$fot(converse(complement(converse(X_254)))))]]) ).
cnf(refute_0_1659,plain,
top = join(X_254,converse(complement(converse(X_254)))),
inference(subst,[],[refute_0_1147:[bind(X_17,$fot(X_254))]]) ).
cnf(refute_0_1660,plain,
( top != join(X_254,converse(complement(converse(X_254))))
| join(X_254,converse(complement(converse(X_254)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_254,converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1661,plain,
join(X_254,converse(complement(converse(X_254)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_254,converse(complement(converse(X_254))))) )],[refute_0_1659,refute_0_1660]) ).
cnf(refute_0_1662,plain,
( complement(X_254) != join(complement(join(X_254,converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254)))))
| join(X_254,converse(complement(converse(X_254)))) != top
| complement(X_254) = join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_254),join(complement(join(X_254,converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_1663,plain,
( complement(X_254) != join(complement(join(X_254,converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254)))))
| complement(X_254) = join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) ),
inference(resolve,[$cnf( $equal(join(X_254,converse(complement(converse(X_254)))),top) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
complement(X_254) = join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),
inference(resolve,[$cnf( $equal(complement(X_254),join(complement(join(X_254,converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254)))))) )],[refute_0_1658,refute_0_1663]) ).
cnf(refute_0_1665,plain,
join(zero,meet(complement(X_254),converse(complement(converse(X_254))))) = meet(complement(X_254),converse(complement(converse(X_254)))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1666,plain,
join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1667,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) != join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = join(zero,meet(complement(X_254),converse(complement(converse(X_254))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1668,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = join(zero,meet(complement(X_254),converse(complement(converse(X_254))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = join(zero,meet(complement(X_254),converse(complement(converse(X_254))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_97,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) != join(zero,meet(complement(X_254),converse(complement(converse(X_254)))))
| join(zero,meet(complement(X_254),converse(complement(converse(X_254))))) != meet(complement(X_254),converse(complement(converse(X_254))))
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = meet(complement(X_254),converse(complement(converse(X_254)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))))),bind(Y,$fot(join(zero,meet(complement(X_254),converse(complement(converse(X_254))))))),bind(Z,$fot(meet(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1671,plain,
( join(zero,meet(complement(X_254),converse(complement(converse(X_254))))) != meet(complement(X_254),converse(complement(converse(X_254))))
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = meet(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),join(zero,meet(complement(X_254),converse(complement(converse(X_254)))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) = meet(complement(X_254),converse(complement(converse(X_254)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_254),converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1665,refute_0_1671]) ).
cnf(refute_0_1673,plain,
( complement(X_254) != join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))
| join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))) != meet(complement(X_254),converse(complement(converse(X_254))))
| complement(X_254) = meet(complement(X_254),converse(complement(converse(X_254)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_254),meet(complement(X_254),converse(complement(converse(X_254))))) ),[0],$fot(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1674,plain,
( complement(X_254) != join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))
| complement(X_254) = meet(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_254),converse(complement(converse(X_254))))),meet(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1672,refute_0_1673]) ).
cnf(refute_0_1675,plain,
complement(X_254) = meet(complement(X_254),converse(complement(converse(X_254)))),
inference(resolve,[$cnf( $equal(complement(X_254),join(complement(top),meet(complement(X_254),converse(complement(converse(X_254)))))) )],[refute_0_1664,refute_0_1674]) ).
cnf(refute_0_1676,plain,
( complement(X_254) != meet(complement(X_254),converse(complement(converse(X_254))))
| meet(complement(X_254),converse(complement(converse(X_254)))) = complement(X_254) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_254))),bind(Y,$fot(meet(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1677,plain,
meet(complement(X_254),converse(complement(converse(X_254)))) = complement(X_254),
inference(resolve,[$cnf( $equal(complement(X_254),meet(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1675,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( meet(complement(X_254),converse(complement(converse(X_254)))) != complement(X_254)
| meet(converse(complement(converse(complement(converse(X_254))))),converse(meet(complement(X_254),converse(complement(converse(X_254)))))) != zero
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(meet(complement(X_254),converse(complement(converse(X_254)))))),zero) ),[0,1,0],$fot(complement(X_254))]]) ).
cnf(refute_0_1679,plain,
( meet(converse(complement(converse(complement(converse(X_254))))),converse(meet(complement(X_254),converse(complement(converse(X_254)))))) != zero
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_254),converse(complement(converse(X_254)))),complement(X_254)) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(meet(complement(X_254),converse(complement(converse(X_254)))))),zero) )],[refute_0_1657,refute_0_1679]) ).
cnf(refute_0_1681,plain,
meet(converse(complement(X_254)),converse(X_254)) = meet(converse(X_254),converse(complement(X_254))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(converse(X_254))),bind(X_7,$fot(converse(complement(X_254))))]]) ).
cnf(refute_0_1682,plain,
converse(converse(X_254)) = X_254,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_254))]]) ).
cnf(refute_0_1683,plain,
complement(converse(complement(converse(X_254)))) = converse(converse(X_254)),
inference(subst,[],[refute_0_1648:[bind(X_486,$fot(converse(X_254)))]]) ).
cnf(refute_0_1684,plain,
( complement(converse(complement(converse(X_254)))) != converse(converse(X_254))
| converse(converse(X_254)) != X_254
| complement(converse(complement(converse(X_254)))) = X_254 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(complement(converse(X_254)))))),bind(Y,$fot(converse(converse(X_254)))),bind(Z,$fot(X_254))]]) ).
cnf(refute_0_1685,plain,
( converse(converse(X_254)) != X_254
| complement(converse(complement(converse(X_254)))) = X_254 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_254)))),converse(converse(X_254))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
complement(converse(complement(converse(X_254)))) = X_254,
inference(resolve,[$cnf( $equal(converse(converse(X_254)),X_254) )],[refute_0_1682,refute_0_1685]) ).
cnf(refute_0_1687,plain,
converse(complement(converse(complement(converse(X_254))))) = converse(complement(converse(complement(converse(X_254))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1688,plain,
( complement(converse(complement(converse(X_254)))) != X_254
| converse(complement(converse(complement(converse(X_254))))) != converse(complement(converse(complement(converse(X_254)))))
| converse(complement(converse(complement(converse(X_254))))) = converse(X_254) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(X_254))))),converse(complement(converse(complement(converse(X_254)))))) ),[1,0],$fot(X_254)]]) ).
cnf(refute_0_1689,plain,
( complement(converse(complement(converse(X_254)))) != X_254
| converse(complement(converse(complement(converse(X_254))))) = converse(X_254) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(X_254))))),converse(complement(converse(complement(converse(X_254)))))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
converse(complement(converse(complement(converse(X_254))))) = converse(X_254),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_254)))),X_254) )],[refute_0_1686,refute_0_1689]) ).
cnf(refute_0_1691,plain,
meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))))]]) ).
cnf(refute_0_1692,plain,
( converse(complement(converse(complement(converse(X_254))))) != converse(X_254)
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) != meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254))))))
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(complement(X_254)),converse(X_254)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254))))))) ),[1,1],$fot(converse(X_254))]]) ).
cnf(refute_0_1693,plain,
( converse(complement(converse(complement(converse(X_254))))) != converse(X_254)
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(complement(X_254)),converse(X_254)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254))))))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(complement(X_254)),converse(X_254)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(X_254))))),converse(X_254)) )],[refute_0_1690,refute_0_1693]) ).
cnf(refute_0_1695,plain,
( meet(converse(complement(X_254)),converse(X_254)) != meet(converse(X_254),converse(complement(X_254)))
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) != meet(converse(complement(X_254)),converse(X_254))
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(X_254),converse(complement(X_254))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))))),bind(Y,$fot(meet(converse(complement(X_254)),converse(X_254)))),bind(Z,$fot(meet(converse(X_254),converse(complement(X_254)))))]]) ).
cnf(refute_0_1696,plain,
( meet(converse(complement(X_254)),converse(X_254)) != meet(converse(X_254),converse(complement(X_254)))
| meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(X_254),converse(complement(X_254))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),meet(converse(complement(X_254)),converse(X_254))) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) = meet(converse(X_254),converse(complement(X_254))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_254)),converse(X_254)),meet(converse(X_254),converse(complement(X_254)))) )],[refute_0_1681,refute_0_1696]) ).
cnf(refute_0_1698,plain,
meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),
inference(subst,[],[refute_0_120:[bind(X_6,$fot(converse(complement(X_254)))),bind(X_7,$fot(converse(complement(converse(complement(converse(X_254)))))))]]) ).
cnf(refute_0_1699,plain,
( meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) != meet(converse(X_254),converse(complement(X_254)))
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) != meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254))))))
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = meet(converse(X_254),converse(complement(X_254))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))))),bind(Y,$fot(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))))),bind(Z,$fot(meet(converse(X_254),converse(complement(X_254)))))]]) ).
cnf(refute_0_1700,plain,
( meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))) != meet(converse(X_254),converse(complement(X_254)))
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = meet(converse(X_254),converse(complement(X_254))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))),meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254))))))) )],[refute_0_1698,refute_0_1699]) ).
cnf(refute_0_1701,plain,
meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) = meet(converse(X_254),converse(complement(X_254))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_254)),converse(complement(converse(complement(converse(X_254)))))),meet(converse(X_254),converse(complement(X_254)))) )],[refute_0_1697,refute_0_1700]) ).
cnf(refute_0_1702,plain,
( meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) != meet(converse(X_254),converse(complement(X_254)))
| meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) != zero
| meet(converse(X_254),converse(complement(X_254))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))),zero) ),[0],$fot(meet(converse(X_254),converse(complement(X_254))))]]) ).
cnf(refute_0_1703,plain,
( meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))) != zero
| meet(converse(X_254),converse(complement(X_254))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))),meet(converse(X_254),converse(complement(X_254)))) )],[refute_0_1701,refute_0_1702]) ).
cnf(refute_0_1704,plain,
meet(converse(X_254),converse(complement(X_254))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(converse(X_254))))),converse(complement(X_254))),zero) )],[refute_0_1680,refute_0_1703]) ).
cnf(refute_0_1705,plain,
meet(converse(X_600),converse(complement(X_600))) = zero,
inference(subst,[],[refute_0_1704:[bind(X_254,$fot(X_600))]]) ).
cnf(refute_0_1706,plain,
( converse(complement(X_600)) != join(meet(converse(X_600),converse(complement(X_600))),meet(complement(converse(X_600)),converse(complement(X_600))))
| meet(converse(X_600),converse(complement(X_600))) != zero
| converse(complement(X_600)) = join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_600)),join(meet(converse(X_600),converse(complement(X_600))),meet(complement(converse(X_600)),converse(complement(X_600))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1707,plain,
( converse(complement(X_600)) != join(meet(converse(X_600),converse(complement(X_600))),meet(complement(converse(X_600)),converse(complement(X_600))))
| converse(complement(X_600)) = join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_600),converse(complement(X_600))),zero) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
converse(complement(X_600)) = join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))),
inference(resolve,[$cnf( $equal(converse(complement(X_600)),join(meet(converse(X_600),converse(complement(X_600))),meet(complement(converse(X_600)),converse(complement(X_600))))) )],[refute_0_60,refute_0_1707]) ).
cnf(refute_0_1709,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(converse(converse(A))))),
inference(subst,[],[refute_0_1675:[bind(X_254,$fot(converse(A)))]]) ).
cnf(refute_0_1710,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(converse(converse(A)))))
| converse(converse(A)) != A
| complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(converse(converse(A)))))) ),[1,1,0,0],$fot(A)]]) ).
cnf(refute_0_1711,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(converse(converse(A)))))
| complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1710]) ).
cnf(refute_0_1712,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(converse(converse(A)))))) )],[refute_0_1709,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(A)))
| meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(A)))),bind(Y,$fot(meet(complement(converse(A)),converse(complement(A)))))]]) ).
cnf(refute_0_1714,plain,
meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(A)))) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
meet(complement(converse(X_600)),converse(complement(X_600))) = complement(converse(X_600)),
inference(subst,[],[refute_0_1714:[bind(A,$fot(X_600))]]) ).
cnf(refute_0_1716,plain,
join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) = meet(complement(converse(X_600)),converse(complement(X_600))),
inference(subst,[],[refute_0_476:[bind(X_34,$fot(meet(complement(converse(X_600)),converse(complement(X_600)))))]]) ).
cnf(refute_0_1717,plain,
( join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) != meet(complement(converse(X_600)),converse(complement(X_600)))
| meet(complement(converse(X_600)),converse(complement(X_600))) != complement(converse(X_600))
| join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) = complement(converse(X_600)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))))),bind(Y,$fot(meet(complement(converse(X_600)),converse(complement(X_600))))),bind(Z,$fot(complement(converse(X_600))))]]) ).
cnf(refute_0_1718,plain,
( meet(complement(converse(X_600)),converse(complement(X_600))) != complement(converse(X_600))
| join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) = complement(converse(X_600)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))),meet(complement(converse(X_600)),converse(complement(X_600)))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) = complement(converse(X_600)),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_600)),converse(complement(X_600))),complement(converse(X_600))) )],[refute_0_1715,refute_0_1718]) ).
cnf(refute_0_1720,plain,
( converse(complement(X_600)) != join(zero,meet(complement(converse(X_600)),converse(complement(X_600))))
| join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))) != complement(converse(X_600))
| converse(complement(X_600)) = complement(converse(X_600)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_600)),complement(converse(X_600))) ),[0],$fot(join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))))]]) ).
cnf(refute_0_1721,plain,
( converse(complement(X_600)) != join(zero,meet(complement(converse(X_600)),converse(complement(X_600))))
| converse(complement(X_600)) = complement(converse(X_600)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(X_600)),converse(complement(X_600)))),complement(converse(X_600))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
converse(complement(X_600)) = complement(converse(X_600)),
inference(resolve,[$cnf( $equal(converse(complement(X_600)),join(zero,meet(complement(converse(X_600)),converse(complement(X_600))))) )],[refute_0_1708,refute_0_1721]) ).
cnf(refute_0_1723,plain,
converse(complement(sk1)) = complement(converse(sk1)),
inference(subst,[],[refute_0_1722:[bind(X_600,$fot(sk1))]]) ).
cnf(refute_0_1724,plain,
( complement(converse(sk1)) != complement(converse(sk1))
| converse(complement(sk1)) != complement(converse(sk1))
| converse(complement(sk1)) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) ),[1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_1725,plain,
( complement(converse(sk1)) != complement(converse(sk1))
| converse(complement(sk1)) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
complement(converse(sk1)) != complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_1725,goals_17]) ).
cnf(refute_0_1727,plain,
complement(converse(sk1)) = complement(converse(sk1)),
introduced(tautology,[refl,[$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_1728,plain,
$false,
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(converse(sk1))) )],[refute_0_1727,refute_0_1726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL004-3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 07:22:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.24/16.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.24/16.45
% 16.24/16.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.46/16.63
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