TSTP Solution File: REL047-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:46:10 EDT 2022
% Result : Unsatisfiable 238.62s 239.04s
% Output : CNFRefutation 238.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 138
% Number of leaves : 737
% Syntax : Number of clauses : 3112 (1537 unt; 0 nHn;2113 RR)
% Number of literals : 5380 (5379 equ;2269 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 2876 ( 115 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
join(A,B) = join(B,A) ).
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(A,B) = complement(join(complement(A),complement(B))) ).
cnf(composition_associativity_5,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C) ).
cnf(composition_identity_6,axiom,
composition(A,one) = A ).
cnf(composition_distributivity_7,axiom,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ).
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(A,B)) = composition(converse(B),converse(A)) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ).
cnf(def_top_12,axiom,
top = join(A,complement(A)) ).
cnf(def_zero_13,axiom,
zero = meet(A,complement(A)) ).
cnf(goals_14,negated_conjecture,
join(sk1,sk2) = sk2 ).
cnf(goals_15,negated_conjecture,
join(sk1,sk3) = sk3 ).
cnf(goals_16,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( join(A,B) != join(B,A)
| join(B,A) = join(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$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( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
X_93 = join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(complement(X_93)))]]) ).
cnf(refute_0_25,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = join(complement(B),composition(converse(A),complement(composition(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_26,plain,
( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
| join(composition(converse(A),complement(composition(A,B))),complement(B)) != join(complement(B),composition(converse(A),complement(composition(A,B))))
| join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
introduced(tautology,[equality,[$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_27,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( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_27]) ).
cnf(refute_0_29,plain,
join(complement(B),composition(converse(one),complement(composition(one,B)))) = complement(B),
inference(subst,[],[refute_0_28:[bind(A,$fot(one))]]) ).
cnf(refute_0_30,plain,
converse(composition(converse(A),X_12)) = composition(converse(X_12),converse(converse(A))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_31,plain,
( converse(composition(converse(A),X_12)) != composition(converse(X_12),converse(converse(A)))
| converse(converse(A)) != A
| converse(composition(converse(A),X_12)) = composition(converse(X_12),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_12)),composition(converse(X_12),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_32,plain,
( converse(composition(converse(A),X_12)) != composition(converse(X_12),converse(converse(A)))
| converse(composition(converse(A),X_12)) = composition(converse(X_12),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_31]) ).
cnf(refute_0_33,plain,
converse(composition(converse(A),X_12)) = composition(converse(X_12),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_12)),composition(converse(X_12),converse(converse(A)))) )],[refute_0_30,refute_0_32]) ).
cnf(refute_0_34,plain,
converse(composition(converse(X_74),one)) = composition(converse(one),X_74),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_74)),bind(X_12,$fot(one))]]) ).
cnf(refute_0_35,plain,
composition(converse(X_74),one) = converse(X_74),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_74)))]]) ).
cnf(refute_0_36,plain,
( composition(converse(X_74),one) != converse(X_74)
| converse(composition(converse(X_74),one)) != composition(converse(one),X_74)
| converse(converse(X_74)) = composition(converse(one),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_74),one)),composition(converse(one),X_74)) ),[0,0],$fot(converse(X_74))]]) ).
cnf(refute_0_37,plain,
( converse(composition(converse(X_74),one)) != composition(converse(one),X_74)
| converse(converse(X_74)) = composition(converse(one),X_74) ),
inference(resolve,[$cnf( $equal(composition(converse(X_74),one),converse(X_74)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
converse(converse(X_74)) = composition(converse(one),X_74),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_74),one)),composition(converse(one),X_74)) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
converse(converse(X_74)) = X_74,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_74))]]) ).
cnf(refute_0_40,plain,
( converse(converse(X_74)) != X_74
| converse(converse(X_74)) != composition(converse(one),X_74)
| X_74 = composition(converse(one),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_74)),composition(converse(one),X_74)) ),[0],$fot(X_74)]]) ).
cnf(refute_0_41,plain,
( converse(converse(X_74)) != composition(converse(one),X_74)
| X_74 = composition(converse(one),X_74) ),
inference(resolve,[$cnf( $equal(converse(converse(X_74)),X_74) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
X_74 = composition(converse(one),X_74),
inference(resolve,[$cnf( $equal(converse(converse(X_74)),composition(converse(one),X_74)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
complement(composition(one,B)) = composition(converse(one),complement(composition(one,B))),
inference(subst,[],[refute_0_42:[bind(X_74,$fot(complement(composition(one,B))))]]) ).
cnf(refute_0_44,plain,
( complement(composition(one,B)) != composition(converse(one),complement(composition(one,B)))
| composition(converse(one),complement(composition(one,B))) = complement(composition(one,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(one,B)))),bind(Y,$fot(composition(converse(one),complement(composition(one,B)))))]]) ).
cnf(refute_0_45,plain,
composition(converse(one),complement(composition(one,B))) = complement(composition(one,B)),
inference(resolve,[$cnf( $equal(complement(composition(one,B)),composition(converse(one),complement(composition(one,B)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( composition(converse(one),complement(composition(one,B))) != complement(composition(one,B))
| join(complement(B),composition(converse(one),complement(composition(one,B)))) != complement(B)
| join(complement(B),complement(composition(one,B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(one),complement(composition(one,B)))),complement(B)) ),[0,1],$fot(complement(composition(one,B)))]]) ).
cnf(refute_0_47,plain,
( join(complement(B),composition(converse(one),complement(composition(one,B)))) != complement(B)
| join(complement(B),complement(composition(one,B))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(composition(one,B))),complement(composition(one,B))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
join(complement(B),complement(composition(one,B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(one),complement(composition(one,B)))),complement(B)) )],[refute_0_29,refute_0_47]) ).
cnf(refute_0_49,plain,
composition(X_21,composition(one,X_23)) = composition(composition(X_21,one),X_23),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_21)),bind(B,$fot(one)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_50,plain,
composition(X_21,one) = X_21,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_21))]]) ).
cnf(refute_0_51,plain,
( composition(X_21,composition(one,X_23)) != composition(composition(X_21,one),X_23)
| composition(X_21,one) != X_21
| composition(X_21,composition(one,X_23)) = composition(X_21,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_21,composition(one,X_23)),composition(composition(X_21,one),X_23)) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_52,plain,
( composition(X_21,composition(one,X_23)) != composition(composition(X_21,one),X_23)
| composition(X_21,composition(one,X_23)) = composition(X_21,X_23) ),
inference(resolve,[$cnf( $equal(composition(X_21,one),X_21) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
composition(X_21,composition(one,X_23)) = composition(X_21,X_23),
inference(resolve,[$cnf( $equal(composition(X_21,composition(one,X_23)),composition(composition(X_21,one),X_23)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
composition(converse(one),composition(one,X_23)) = composition(converse(one),X_23),
inference(subst,[],[refute_0_53:[bind(X_21,$fot(converse(one)))]]) ).
cnf(refute_0_55,plain,
composition(one,X_23) = composition(converse(one),composition(one,X_23)),
inference(subst,[],[refute_0_42:[bind(X_74,$fot(composition(one,X_23)))]]) ).
cnf(refute_0_56,plain,
( composition(one,X_23) != composition(converse(one),composition(one,X_23))
| composition(converse(one),composition(one,X_23)) = composition(one,X_23) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(one,X_23))),bind(Y,$fot(composition(converse(one),composition(one,X_23))))]]) ).
cnf(refute_0_57,plain,
composition(converse(one),composition(one,X_23)) = composition(one,X_23),
inference(resolve,[$cnf( $equal(composition(one,X_23),composition(converse(one),composition(one,X_23))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( composition(converse(one),composition(one,X_23)) != composition(converse(one),X_23)
| composition(converse(one),composition(one,X_23)) != composition(one,X_23)
| composition(one,X_23) = composition(converse(one),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_23)),composition(converse(one),X_23)) ),[0],$fot(composition(one,X_23))]]) ).
cnf(refute_0_59,plain,
( composition(converse(one),composition(one,X_23)) != composition(converse(one),X_23)
| composition(one,X_23) = composition(converse(one),X_23) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_23)),composition(one,X_23)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
composition(one,X_23) = composition(converse(one),X_23),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_23)),composition(converse(one),X_23)) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
( X_74 != composition(converse(one),X_74)
| composition(converse(one),X_74) = X_74 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_74)),bind(Y,$fot(composition(converse(one),X_74)))]]) ).
cnf(refute_0_62,plain,
composition(converse(one),X_74) = X_74,
inference(resolve,[$cnf( $equal(X_74,composition(converse(one),X_74)) )],[refute_0_42,refute_0_61]) ).
cnf(refute_0_63,plain,
composition(converse(one),X_23) = X_23,
inference(subst,[],[refute_0_62:[bind(X_74,$fot(X_23))]]) ).
cnf(refute_0_64,plain,
( composition(converse(one),X_23) != X_23
| composition(one,X_23) != composition(converse(one),X_23)
| composition(one,X_23) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,X_23),composition(converse(one),X_23)) ),[1],$fot(X_23)]]) ).
cnf(refute_0_65,plain,
( composition(one,X_23) != composition(converse(one),X_23)
| composition(one,X_23) = X_23 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_23),X_23) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
composition(one,X_23) = X_23,
inference(resolve,[$cnf( $equal(composition(one,X_23),composition(converse(one),X_23)) )],[refute_0_60,refute_0_65]) ).
cnf(refute_0_67,plain,
composition(one,B) = B,
inference(subst,[],[refute_0_66:[bind(X_23,$fot(B))]]) ).
cnf(refute_0_68,plain,
complement(composition(one,B)) = complement(composition(one,B)),
introduced(tautology,[refl,[$fot(complement(composition(one,B)))]]) ).
cnf(refute_0_69,plain,
( complement(composition(one,B)) != complement(composition(one,B))
| composition(one,B) != B
| complement(composition(one,B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,B)),complement(composition(one,B))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_70,plain,
( composition(one,B) != B
| complement(composition(one,B)) = complement(B) ),
inference(resolve,[$cnf( $equal(complement(composition(one,B)),complement(composition(one,B))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
complement(composition(one,B)) = complement(B),
inference(resolve,[$cnf( $equal(composition(one,B),B) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
join(complement(B),complement(composition(one,B))) = join(complement(B),complement(composition(one,B))),
introduced(tautology,[refl,[$fot(join(complement(B),complement(composition(one,B))))]]) ).
cnf(refute_0_73,plain,
( complement(composition(one,B)) != complement(B)
| join(complement(B),complement(composition(one,B))) != join(complement(B),complement(composition(one,B)))
| join(complement(B),complement(composition(one,B))) = join(complement(B),complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),complement(composition(one,B))),join(complement(B),complement(composition(one,B)))) ),[1,1],$fot(complement(B))]]) ).
cnf(refute_0_74,plain,
( complement(composition(one,B)) != complement(B)
| join(complement(B),complement(composition(one,B))) = join(complement(B),complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(B),complement(composition(one,B))),join(complement(B),complement(composition(one,B)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
join(complement(B),complement(composition(one,B))) = join(complement(B),complement(B)),
inference(resolve,[$cnf( $equal(complement(composition(one,B)),complement(B)) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( join(complement(B),complement(composition(one,B))) != complement(B)
| join(complement(B),complement(composition(one,B))) != join(complement(B),complement(B))
| join(complement(B),complement(B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),complement(composition(one,B))),complement(B)) ),[0],$fot(join(complement(B),complement(B)))]]) ).
cnf(refute_0_77,plain,
( join(complement(B),complement(composition(one,B))) != complement(B)
| join(complement(B),complement(B)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),complement(composition(one,B))),join(complement(B),complement(B))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
join(complement(B),complement(B)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),complement(composition(one,B))),complement(B)) )],[refute_0_48,refute_0_77]) ).
cnf(refute_0_79,plain,
join(complement(X_93),complement(X_93)) = complement(X_93),
inference(subst,[],[refute_0_78:[bind(B,$fot(X_93))]]) ).
cnf(refute_0_80,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))
| join(complement(X_93),complement(X_93)) != complement(X_93)
| X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))) ),[1,1,0],$fot(complement(X_93))]]) ).
cnf(refute_0_81,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))
| X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),complement(X_93)),complement(X_93)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))) )],[refute_0_24,refute_0_81]) ).
cnf(refute_0_83,plain,
join(complement(complement(X_93)),zero) = join(zero,complement(complement(X_93))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_84,plain,
( zero != meet(A,complement(A))
| meet(A,complement(A)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(A,complement(A))))]]) ).
cnf(refute_0_85,plain,
meet(A,complement(A)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(A,complement(A))) )],[def_zero_13,refute_0_84]) ).
cnf(refute_0_86,plain,
meet(X_93,complement(X_93)) = zero,
inference(subst,[],[refute_0_85:[bind(A,$fot(X_93))]]) ).
cnf(refute_0_87,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),meet(X_93,complement(X_93))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))]]) ).
cnf(refute_0_88,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(complement(complement(X_93)),meet(X_93,complement(X_93)))
| meet(X_93,complement(X_93)) != zero
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_89,plain,
( meet(X_93,complement(X_93)) != zero
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero),
inference(resolve,[$cnf( $equal(meet(X_93,complement(X_93)),zero) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(complement(complement(X_93)),zero)
| join(complement(complement(X_93)),zero) != join(zero,complement(complement(X_93)))
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))),bind(Y,$fot(join(complement(complement(X_93)),zero))),bind(Z,$fot(join(zero,complement(complement(X_93)))))]]) ).
cnf(refute_0_92,plain,
( join(complement(complement(X_93)),zero) != join(zero,complement(complement(X_93)))
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),zero)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),zero),join(zero,complement(complement(X_93)))) )],[refute_0_83,refute_0_92]) ).
cnf(refute_0_94,plain,
join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(complement(complement(X_93)),meet(X_93,complement(X_93))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(complement(X_93)))),bind(B,$fot(meet(X_93,complement(X_93))))]]) ).
cnf(refute_0_95,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(zero,complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) != join(complement(complement(X_93)),meet(X_93,complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,complement(X_93)),complement(complement(X_93))))),bind(Y,$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))),bind(Z,$fot(join(zero,complement(complement(X_93)))))]]) ).
cnf(refute_0_96,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(zero,complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(X_93)),complement(complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(zero,complement(complement(X_93)))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) != join(zero,complement(complement(X_93)))
| X_93 = join(zero,complement(complement(X_93))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,complement(complement(X_93)))) ),[0],$fot(join(meet(X_93,complement(X_93)),complement(complement(X_93))))]]) ).
cnf(refute_0_99,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(complement(X_93)))
| X_93 = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(X_93)),complement(complement(X_93))),join(zero,complement(complement(X_93)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
X_93 = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(complement(X_93)))) )],[refute_0_82,refute_0_99]) ).
cnf(refute_0_101,plain,
X_93 = join(meet(X_93,top),complement(join(complement(X_93),top))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(top))]]) ).
cnf(refute_0_102,plain,
join(X_6,join(complement(X_6),X_8)) = join(join(X_6,complement(X_6)),X_8),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_6)),bind(B,$fot(complement(X_6))),bind(C,$fot(X_8))]]) ).
cnf(refute_0_103,plain,
top = join(X_6,complement(X_6)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_104,plain,
( top != join(X_6,complement(X_6))
| join(X_6,complement(X_6)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_6,complement(X_6))))]]) ).
cnf(refute_0_105,plain,
join(X_6,complement(X_6)) = top,
inference(resolve,[$cnf( $equal(top,join(X_6,complement(X_6))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( join(X_6,complement(X_6)) != top
| join(X_6,join(complement(X_6),X_8)) != join(join(X_6,complement(X_6)),X_8)
| join(X_6,join(complement(X_6),X_8)) = join(top,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(complement(X_6),X_8)),join(join(X_6,complement(X_6)),X_8)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_107,plain,
( join(X_6,join(complement(X_6),X_8)) != join(join(X_6,complement(X_6)),X_8)
| join(X_6,join(complement(X_6),X_8)) = join(top,X_8) ),
inference(resolve,[$cnf( $equal(join(X_6,complement(X_6)),top) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(X_6,join(complement(X_6),X_8)) = join(top,X_8),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_6),X_8)),join(join(X_6,complement(X_6)),X_8)) )],[refute_0_102,refute_0_107]) ).
cnf(refute_0_109,plain,
join(X_16,join(complement(X_16),complement(complement(X_16)))) = join(top,complement(complement(X_16))),
inference(subst,[],[refute_0_108:[bind(X_6,$fot(X_16)),bind(X_8,$fot(complement(complement(X_16))))]]) ).
cnf(refute_0_110,plain,
top = join(complement(X_16),complement(complement(X_16))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_16)))]]) ).
cnf(refute_0_111,plain,
( top != join(complement(X_16),complement(complement(X_16)))
| join(complement(X_16),complement(complement(X_16))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_16),complement(complement(X_16)))))]]) ).
cnf(refute_0_112,plain,
join(complement(X_16),complement(complement(X_16))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_16),complement(complement(X_16)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( join(X_16,join(complement(X_16),complement(complement(X_16)))) != join(top,complement(complement(X_16)))
| join(complement(X_16),complement(complement(X_16))) != top
| join(X_16,top) = join(top,complement(complement(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_16,join(complement(X_16),complement(complement(X_16)))),join(top,complement(complement(X_16)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_114,plain,
( join(X_16,join(complement(X_16),complement(complement(X_16)))) != join(top,complement(complement(X_16)))
| join(X_16,top) = join(top,complement(complement(X_16))) ),
inference(resolve,[$cnf( $equal(join(complement(X_16),complement(complement(X_16))),top) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
join(X_16,top) = join(top,complement(complement(X_16))),
inference(resolve,[$cnf( $equal(join(X_16,join(complement(X_16),complement(complement(X_16)))),join(top,complement(complement(X_16)))) )],[refute_0_109,refute_0_114]) ).
cnf(refute_0_116,plain,
top = join(join(X_6,X_7),complement(join(X_6,X_7))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_117,plain,
join(X_6,join(X_7,complement(join(X_6,X_7)))) = join(join(X_6,X_7),complement(join(X_6,X_7))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_6)),bind(B,$fot(X_7)),bind(C,$fot(complement(join(X_6,X_7))))]]) ).
cnf(refute_0_118,plain,
( join(X_6,join(X_7,complement(join(X_6,X_7)))) != join(join(X_6,X_7),complement(join(X_6,X_7)))
| join(join(X_6,X_7),complement(join(X_6,X_7))) = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(X_7,complement(join(X_6,X_7)))))),bind(Y,$fot(join(join(X_6,X_7),complement(join(X_6,X_7)))))]]) ).
cnf(refute_0_119,plain,
join(join(X_6,X_7),complement(join(X_6,X_7))) = join(X_6,join(X_7,complement(join(X_6,X_7)))),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,complement(join(X_6,X_7)))),join(join(X_6,X_7),complement(join(X_6,X_7)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( join(join(X_6,X_7),complement(join(X_6,X_7))) != join(X_6,join(X_7,complement(join(X_6,X_7))))
| top != join(join(X_6,X_7),complement(join(X_6,X_7)))
| top = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_6,X_7),complement(join(X_6,X_7)))) ),[1],$fot(join(X_6,join(X_7,complement(join(X_6,X_7)))))]]) ).
cnf(refute_0_121,plain,
( top != join(join(X_6,X_7),complement(join(X_6,X_7)))
| top = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
inference(resolve,[$cnf( $equal(join(join(X_6,X_7),complement(join(X_6,X_7))),join(X_6,join(X_7,complement(join(X_6,X_7))))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
top = join(X_6,join(X_7,complement(join(X_6,X_7)))),
inference(resolve,[$cnf( $equal(top,join(join(X_6,X_7),complement(join(X_6,X_7)))) )],[refute_0_116,refute_0_121]) ).
cnf(refute_0_123,plain,
top = join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29))))))),
inference(subst,[],[refute_0_122:[bind(X_6,$fot(complement(X_29))),bind(X_7,$fot(composition(converse(X_28),complement(composition(X_28,X_29)))))]]) ).
cnf(refute_0_124,plain,
join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))) = complement(X_29),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_28)),bind(B,$fot(X_29))]]) ).
cnf(refute_0_125,plain,
( join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))) != complement(X_29)
| top != join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))))))
| top = join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))))))) ),[1,1,1,0],$fot(complement(X_29))]]) ).
cnf(refute_0_126,plain,
( top != join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))))))
| top = join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))),complement(X_29)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
top = join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(join(complement(X_29),composition(converse(X_28),complement(composition(X_28,X_29)))))))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
join(X_16,join(complement(X_16),X_17)) = join(top,X_17),
inference(subst,[],[refute_0_108:[bind(X_6,$fot(X_16)),bind(X_8,$fot(X_17))]]) ).
cnf(refute_0_129,plain,
join(X_17,complement(X_16)) = join(complement(X_16),X_17),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_17)),bind(B,$fot(complement(X_16)))]]) ).
cnf(refute_0_130,plain,
( join(X_17,complement(X_16)) != join(complement(X_16),X_17)
| join(complement(X_16),X_17) = join(X_17,complement(X_16)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_17,complement(X_16)))),bind(Y,$fot(join(complement(X_16),X_17)))]]) ).
cnf(refute_0_131,plain,
join(complement(X_16),X_17) = join(X_17,complement(X_16)),
inference(resolve,[$cnf( $equal(join(X_17,complement(X_16)),join(complement(X_16),X_17)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( join(X_16,join(complement(X_16),X_17)) != join(top,X_17)
| join(complement(X_16),X_17) != join(X_17,complement(X_16))
| join(X_16,join(X_17,complement(X_16))) = join(top,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_16,join(complement(X_16),X_17)),join(top,X_17)) ),[0,1],$fot(join(X_17,complement(X_16)))]]) ).
cnf(refute_0_133,plain,
( join(X_16,join(complement(X_16),X_17)) != join(top,X_17)
| join(X_16,join(X_17,complement(X_16))) = join(top,X_17) ),
inference(resolve,[$cnf( $equal(join(complement(X_16),X_17),join(X_17,complement(X_16))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(X_16,join(X_17,complement(X_16))) = join(top,X_17),
inference(resolve,[$cnf( $equal(join(X_16,join(complement(X_16),X_17)),join(top,X_17)) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))) = join(top,composition(converse(X_28),complement(composition(X_28,X_29)))),
inference(subst,[],[refute_0_134:[bind(X_16,$fot(complement(X_29))),bind(X_17,$fot(composition(converse(X_28),complement(composition(X_28,X_29)))))]]) ).
cnf(refute_0_136,plain,
( join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))) != join(top,composition(converse(X_28),complement(composition(X_28,X_29))))
| top != join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29))))
| top = join(top,composition(converse(X_28),complement(composition(X_28,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29))))) ),[1],$fot(join(top,composition(converse(X_28),complement(composition(X_28,X_29)))))]]) ).
cnf(refute_0_137,plain,
( top != join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29))))
| top = join(top,composition(converse(X_28),complement(composition(X_28,X_29)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29)))),join(top,composition(converse(X_28),complement(composition(X_28,X_29))))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
top = join(top,composition(converse(X_28),complement(composition(X_28,X_29)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(composition(converse(X_28),complement(composition(X_28,X_29))),complement(complement(X_29))))) )],[refute_0_127,refute_0_137]) ).
cnf(refute_0_139,plain,
top = join(top,composition(converse(converse(one)),complement(composition(converse(one),X_29)))),
inference(subst,[],[refute_0_138:[bind(X_28,$fot(converse(one)))]]) ).
cnf(refute_0_140,plain,
X_29 = composition(converse(one),X_29),
inference(subst,[],[refute_0_42:[bind(X_74,$fot(X_29))]]) ).
cnf(refute_0_141,plain,
( X_29 != composition(converse(one),X_29)
| composition(converse(one),X_29) = X_29 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_29)),bind(Y,$fot(composition(converse(one),X_29)))]]) ).
cnf(refute_0_142,plain,
composition(converse(one),X_29) = X_29,
inference(resolve,[$cnf( $equal(X_29,composition(converse(one),X_29)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( composition(converse(one),X_29) != X_29
| top != join(top,composition(converse(converse(one)),complement(composition(converse(one),X_29))))
| top = join(top,composition(converse(converse(one)),complement(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(converse(converse(one)),complement(composition(converse(one),X_29))))) ),[1,1,1,0],$fot(X_29)]]) ).
cnf(refute_0_144,plain,
( top != join(top,composition(converse(converse(one)),complement(composition(converse(one),X_29))))
| top = join(top,composition(converse(converse(one)),complement(X_29))) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_29),X_29) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
top = join(top,composition(converse(converse(one)),complement(X_29))),
inference(resolve,[$cnf( $equal(top,join(top,composition(converse(converse(one)),complement(composition(converse(one),X_29))))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
composition(one,complement(X_29)) = complement(X_29),
inference(subst,[],[refute_0_66:[bind(X_23,$fot(complement(X_29)))]]) ).
cnf(refute_0_147,plain,
converse(converse(one)) = one,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(one))]]) ).
cnf(refute_0_148,plain,
composition(converse(converse(one)),complement(X_29)) = composition(converse(converse(one)),complement(X_29)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X_29)))]]) ).
cnf(refute_0_149,plain,
( composition(converse(converse(one)),complement(X_29)) != composition(converse(converse(one)),complement(X_29))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(X_29)) = composition(one,complement(X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X_29)),composition(converse(converse(one)),complement(X_29))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_150,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(X_29)) = composition(one,complement(X_29)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X_29)),composition(converse(converse(one)),complement(X_29))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
composition(converse(converse(one)),complement(X_29)) = composition(one,complement(X_29)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
( composition(converse(converse(one)),complement(X_29)) != composition(one,complement(X_29))
| composition(one,complement(X_29)) != complement(X_29)
| composition(converse(converse(one)),complement(X_29)) = complement(X_29) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(converse(one)),complement(X_29)))),bind(Y,$fot(composition(one,complement(X_29)))),bind(Z,$fot(complement(X_29)))]]) ).
cnf(refute_0_153,plain,
( composition(one,complement(X_29)) != complement(X_29)
| composition(converse(converse(one)),complement(X_29)) = complement(X_29) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X_29)),composition(one,complement(X_29))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
composition(converse(converse(one)),complement(X_29)) = complement(X_29),
inference(resolve,[$cnf( $equal(composition(one,complement(X_29)),complement(X_29)) )],[refute_0_146,refute_0_153]) ).
cnf(refute_0_155,plain,
join(top,composition(converse(converse(one)),complement(X_29))) = join(top,composition(converse(converse(one)),complement(X_29))),
introduced(tautology,[refl,[$fot(join(top,composition(converse(converse(one)),complement(X_29))))]]) ).
cnf(refute_0_156,plain,
( composition(converse(converse(one)),complement(X_29)) != complement(X_29)
| join(top,composition(converse(converse(one)),complement(X_29))) != join(top,composition(converse(converse(one)),complement(X_29)))
| join(top,composition(converse(converse(one)),complement(X_29))) = join(top,complement(X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(converse(converse(one)),complement(X_29))),join(top,composition(converse(converse(one)),complement(X_29)))) ),[1,1],$fot(complement(X_29))]]) ).
cnf(refute_0_157,plain,
( composition(converse(converse(one)),complement(X_29)) != complement(X_29)
| join(top,composition(converse(converse(one)),complement(X_29))) = join(top,complement(X_29)) ),
inference(resolve,[$cnf( $equal(join(top,composition(converse(converse(one)),complement(X_29))),join(top,composition(converse(converse(one)),complement(X_29)))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
join(top,composition(converse(converse(one)),complement(X_29))) = join(top,complement(X_29)),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X_29)),complement(X_29)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
( join(top,composition(converse(converse(one)),complement(X_29))) != join(top,complement(X_29))
| top != join(top,composition(converse(converse(one)),complement(X_29)))
| top = join(top,complement(X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(converse(converse(one)),complement(X_29)))) ),[1],$fot(join(top,complement(X_29)))]]) ).
cnf(refute_0_160,plain,
( top != join(top,composition(converse(converse(one)),complement(X_29)))
| top = join(top,complement(X_29)) ),
inference(resolve,[$cnf( $equal(join(top,composition(converse(converse(one)),complement(X_29))),join(top,complement(X_29))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
top = join(top,complement(X_29)),
inference(resolve,[$cnf( $equal(top,join(top,composition(converse(converse(one)),complement(X_29)))) )],[refute_0_145,refute_0_160]) ).
cnf(refute_0_162,plain,
( top != join(top,complement(X_29))
| join(top,complement(X_29)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_29))))]]) ).
cnf(refute_0_163,plain,
join(top,complement(X_29)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_29))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
join(top,complement(complement(X_16))) = top,
inference(subst,[],[refute_0_163:[bind(X_29,$fot(complement(X_16)))]]) ).
cnf(refute_0_165,plain,
( join(X_16,top) != join(top,complement(complement(X_16)))
| join(top,complement(complement(X_16))) != top
| join(X_16,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_16,top),top) ),[0],$fot(join(top,complement(complement(X_16))))]]) ).
cnf(refute_0_166,plain,
( join(X_16,top) != join(top,complement(complement(X_16)))
| join(X_16,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_16))),top) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
join(X_16,top) = top,
inference(resolve,[$cnf( $equal(join(X_16,top),join(top,complement(complement(X_16)))) )],[refute_0_115,refute_0_166]) ).
cnf(refute_0_168,plain,
join(complement(X_93),top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(complement(X_93)))]]) ).
cnf(refute_0_169,plain,
( X_93 != join(meet(X_93,top),complement(join(complement(X_93),top)))
| join(complement(X_93),top) != top
| X_93 = join(meet(X_93,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,top),complement(join(complement(X_93),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_170,plain,
( X_93 != join(meet(X_93,top),complement(join(complement(X_93),top)))
| X_93 = join(meet(X_93,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),top),top) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
X_93 = join(meet(X_93,top),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,top),complement(join(complement(X_93),top)))) )],[refute_0_101,refute_0_170]) ).
cnf(refute_0_172,plain,
zero = meet(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_173,plain,
meet(X_34,X_35) = complement(join(complement(X_34),complement(X_35))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_34)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_174,plain,
( meet(X_34,X_35) != complement(join(complement(X_34),complement(X_35)))
| complement(join(complement(X_34),complement(X_35))) = meet(X_34,X_35) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_34,X_35))),bind(Y,$fot(complement(join(complement(X_34),complement(X_35)))))]]) ).
cnf(refute_0_175,plain,
complement(join(complement(X_34),complement(X_35))) = meet(X_34,X_35),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),complement(join(complement(X_34),complement(X_35)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( complement(join(complement(X_34),complement(X_35))) != meet(X_34,X_35)
| zero != meet(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))
| zero = meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))) ),[1,1],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_177,plain,
( zero != meet(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))
| zero = meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(X_35))),meet(X_34,X_35)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
zero = meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))) )],[refute_0_172,refute_0_177]) ).
cnf(refute_0_179,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_180,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_179]) ).
cnf(refute_0_181,plain,
join(meet(X_34,X_35),complement(meet(X_34,X_35))) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_182,plain,
complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) = complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))))]]) ).
cnf(refute_0_183,plain,
( complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) != complement(join(meet(X_34,X_35),complement(meet(X_34,X_35))))
| join(meet(X_34,X_35),complement(meet(X_34,X_35))) != top
| complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))),complement(join(meet(X_34,X_35),complement(meet(X_34,X_35))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_184,plain,
( join(meet(X_34,X_35),complement(meet(X_34,X_35))) != top
| complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))),complement(join(meet(X_34,X_35),complement(meet(X_34,X_35))))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_34,X_35),complement(meet(X_34,X_35))),top) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(join(complement(X_34),complement(X_35)),B) = complement(join(complement(join(complement(X_34),complement(X_35))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_187,plain,
( complement(join(complement(X_34),complement(X_35))) != meet(X_34,X_35)
| meet(join(complement(X_34),complement(X_35)),B) != complement(join(complement(join(complement(X_34),complement(X_35))),complement(B)))
| meet(join(complement(X_34),complement(X_35)),B) = complement(join(meet(X_34,X_35),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_34),complement(X_35)),B),complement(join(complement(join(complement(X_34),complement(X_35))),complement(B)))) ),[1,0,0],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_188,plain,
( meet(join(complement(X_34),complement(X_35)),B) != complement(join(complement(join(complement(X_34),complement(X_35))),complement(B)))
| meet(join(complement(X_34),complement(X_35)),B) = complement(join(meet(X_34,X_35),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(X_35))),meet(X_34,X_35)) )],[refute_0_175,refute_0_187]) ).
cnf(refute_0_189,plain,
meet(join(complement(X_34),complement(X_35)),B) = complement(join(meet(X_34,X_35),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_34),complement(X_35)),B),complement(join(complement(join(complement(X_34),complement(X_35))),complement(B)))) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) = complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))),
inference(subst,[],[refute_0_189:[bind(B,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_191,plain,
( complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) != complement(top)
| meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) != complement(join(meet(X_34,X_35),complement(meet(X_34,X_35))))
| meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) = complement(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)))),bind(Y,$fot(complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_192,plain,
( complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))) != complement(top)
| meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)),complement(join(meet(X_34,X_35),complement(meet(X_34,X_35))))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_34,X_35),complement(meet(X_34,X_35)))),complement(top)) )],[refute_0_185,refute_0_192]) ).
cnf(refute_0_194,plain,
( meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) != complement(top)
| zero != meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_195,plain,
( zero != meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35)),complement(top)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_34),complement(X_35)),meet(X_34,X_35))) )],[refute_0_178,refute_0_195]) ).
cnf(refute_0_197,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_198,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
join(complement(top),meet(X_93,top)) = join(complement(top),meet(X_93,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,top)))]]) ).
cnf(refute_0_200,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,top)) != join(complement(top),meet(X_93,top))
| join(complement(top),meet(X_93,top)) = join(zero,meet(X_93,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,top)),join(complement(top),meet(X_93,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_201,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,top)) = join(zero,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,top)),join(complement(top),meet(X_93,top))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
join(complement(top),meet(X_93,top)) = join(zero,meet(X_93,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
join(meet(X_93,top),complement(top)) = join(complement(top),meet(X_93,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_204,plain,
( join(complement(top),meet(X_93,top)) != join(zero,meet(X_93,top))
| join(meet(X_93,top),complement(top)) != join(complement(top),meet(X_93,top))
| join(meet(X_93,top),complement(top)) = join(zero,meet(X_93,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,top)))),bind(Z,$fot(join(zero,meet(X_93,top))))]]) ).
cnf(refute_0_205,plain,
( join(complement(top),meet(X_93,top)) != join(zero,meet(X_93,top))
| join(meet(X_93,top),complement(top)) = join(zero,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,top),complement(top)),join(complement(top),meet(X_93,top))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
join(meet(X_93,top),complement(top)) = join(zero,meet(X_93,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,top)),join(zero,meet(X_93,top))) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( X_93 != join(meet(X_93,top),complement(top))
| join(meet(X_93,top),complement(top)) != join(zero,meet(X_93,top))
| X_93 = join(zero,meet(X_93,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,top))) ),[0],$fot(join(meet(X_93,top),complement(top)))]]) ).
cnf(refute_0_208,plain,
( X_93 != join(meet(X_93,top),complement(top))
| X_93 = join(zero,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,top),complement(top)),join(zero,meet(X_93,top))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
X_93 = join(zero,meet(X_93,top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,top),complement(top))) )],[refute_0_171,refute_0_208]) ).
cnf(refute_0_210,plain,
X_95 = join(zero,meet(X_95,top)),
inference(subst,[],[refute_0_209:[bind(X_93,$fot(X_95))]]) ).
cnf(refute_0_211,plain,
join(complement(X_35),complement(X_34)) = join(complement(X_34),complement(X_35)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_35))),bind(B,$fot(complement(X_34)))]]) ).
cnf(refute_0_212,plain,
( join(complement(X_35),complement(X_34)) != join(complement(X_34),complement(X_35))
| join(complement(X_34),complement(X_35)) = join(complement(X_35),complement(X_34)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_35),complement(X_34)))),bind(Y,$fot(join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_213,plain,
join(complement(X_34),complement(X_35)) = join(complement(X_35),complement(X_34)),
inference(resolve,[$cnf( $equal(join(complement(X_35),complement(X_34)),join(complement(X_34),complement(X_35))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( join(complement(X_34),complement(X_35)) != join(complement(X_35),complement(X_34))
| meet(X_34,X_35) != complement(join(complement(X_34),complement(X_35)))
| meet(X_34,X_35) = complement(join(complement(X_35),complement(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,X_35),complement(join(complement(X_34),complement(X_35)))) ),[1,0],$fot(join(complement(X_35),complement(X_34)))]]) ).
cnf(refute_0_215,plain,
( meet(X_34,X_35) != complement(join(complement(X_34),complement(X_35)))
| meet(X_34,X_35) = complement(join(complement(X_35),complement(X_34))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(X_35)),join(complement(X_35),complement(X_34))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
meet(X_34,X_35) = complement(join(complement(X_35),complement(X_34))),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),complement(join(complement(X_34),complement(X_35)))) )],[refute_0_173,refute_0_215]) ).
cnf(refute_0_217,plain,
complement(join(complement(X_35),complement(X_34))) = meet(X_35,X_34),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_35)),bind(B,$fot(X_34))]]) ).
cnf(refute_0_218,plain,
( complement(join(complement(X_35),complement(X_34))) != meet(X_35,X_34)
| meet(X_34,X_35) != complement(join(complement(X_35),complement(X_34)))
| meet(X_34,X_35) = meet(X_35,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,X_35),complement(join(complement(X_35),complement(X_34)))) ),[1],$fot(meet(X_35,X_34))]]) ).
cnf(refute_0_219,plain,
( meet(X_34,X_35) != complement(join(complement(X_35),complement(X_34)))
| meet(X_34,X_35) = meet(X_35,X_34) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_35),complement(X_34))),meet(X_35,X_34)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(X_34,X_35) = meet(X_35,X_34),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),complement(join(complement(X_35),complement(X_34)))) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(top,X_95) = meet(X_95,top),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(top)),bind(X_35,$fot(X_95))]]) ).
cnf(refute_0_222,plain,
( meet(top,X_95) != meet(X_95,top)
| meet(X_95,top) = meet(top,X_95) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_95))),bind(Y,$fot(meet(X_95,top)))]]) ).
cnf(refute_0_223,plain,
meet(X_95,top) = meet(top,X_95),
inference(resolve,[$cnf( $equal(meet(top,X_95),meet(X_95,top)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( X_95 != join(zero,meet(X_95,top))
| meet(X_95,top) != meet(top,X_95)
| X_95 = join(zero,meet(top,X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(zero,meet(X_95,top))) ),[1,1],$fot(meet(top,X_95))]]) ).
cnf(refute_0_225,plain,
( X_95 != join(zero,meet(X_95,top))
| X_95 = join(zero,meet(top,X_95)) ),
inference(resolve,[$cnf( $equal(meet(X_95,top),meet(top,X_95)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
X_95 = join(zero,meet(top,X_95)),
inference(resolve,[$cnf( $equal(X_95,join(zero,meet(X_95,top))) )],[refute_0_210,refute_0_225]) ).
cnf(refute_0_227,plain,
complement(X_96) = join(zero,meet(top,complement(X_96))),
inference(subst,[],[refute_0_226:[bind(X_95,$fot(complement(X_96)))]]) ).
cnf(refute_0_228,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_229,plain,
( complement(top) != zero
| meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_230,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_228,refute_0_230]) ).
cnf(refute_0_232,plain,
meet(top,complement(X_96)) = complement(join(zero,complement(complement(X_96)))),
inference(subst,[],[refute_0_231:[bind(B,$fot(complement(X_96)))]]) ).
cnf(refute_0_233,plain,
X_96 = join(zero,complement(complement(X_96))),
inference(subst,[],[refute_0_100:[bind(X_93,$fot(X_96))]]) ).
cnf(refute_0_234,plain,
( X_96 != join(zero,complement(complement(X_96)))
| join(zero,complement(complement(X_96))) = X_96 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_96)),bind(Y,$fot(join(zero,complement(complement(X_96)))))]]) ).
cnf(refute_0_235,plain,
join(zero,complement(complement(X_96))) = X_96,
inference(resolve,[$cnf( $equal(X_96,join(zero,complement(complement(X_96)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( join(zero,complement(complement(X_96))) != X_96
| meet(top,complement(X_96)) != complement(join(zero,complement(complement(X_96))))
| meet(top,complement(X_96)) = complement(X_96) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_96)),complement(join(zero,complement(complement(X_96))))) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_237,plain,
( meet(top,complement(X_96)) != complement(join(zero,complement(complement(X_96))))
| meet(top,complement(X_96)) = complement(X_96) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_96))),X_96) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(top,complement(X_96)) = complement(X_96),
inference(resolve,[$cnf( $equal(meet(top,complement(X_96)),complement(join(zero,complement(complement(X_96))))) )],[refute_0_232,refute_0_237]) ).
cnf(refute_0_239,plain,
( complement(X_96) != join(zero,meet(top,complement(X_96)))
| meet(top,complement(X_96)) != complement(X_96)
| complement(X_96) = join(zero,complement(X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_96),join(zero,meet(top,complement(X_96)))) ),[1,1],$fot(complement(X_96))]]) ).
cnf(refute_0_240,plain,
( complement(X_96) != join(zero,meet(top,complement(X_96)))
| complement(X_96) = join(zero,complement(X_96)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_96)),complement(X_96)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
complement(X_96) = join(zero,complement(X_96)),
inference(resolve,[$cnf( $equal(complement(X_96),join(zero,meet(top,complement(X_96)))) )],[refute_0_227,refute_0_240]) ).
cnf(refute_0_242,plain,
( complement(X_96) != join(zero,complement(X_96))
| join(zero,complement(X_96)) = complement(X_96) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_96))),bind(Y,$fot(join(zero,complement(X_96))))]]) ).
cnf(refute_0_243,plain,
join(zero,complement(X_96)) = complement(X_96),
inference(resolve,[$cnf( $equal(complement(X_96),join(zero,complement(X_96))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
join(zero,complement(complement(X_93))) = complement(complement(X_93)),
inference(subst,[],[refute_0_243:[bind(X_96,$fot(complement(X_93)))]]) ).
cnf(refute_0_245,plain,
( X_93 != join(zero,complement(complement(X_93)))
| join(zero,complement(complement(X_93))) != complement(complement(X_93))
| X_93 = complement(complement(X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,complement(complement(X_93))) ),[0],$fot(join(zero,complement(complement(X_93))))]]) ).
cnf(refute_0_246,plain,
( X_93 != join(zero,complement(complement(X_93)))
| X_93 = complement(complement(X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_93))),complement(complement(X_93))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
X_93 = complement(complement(X_93)),
inference(resolve,[$cnf( $equal(X_93,join(zero,complement(complement(X_93)))) )],[refute_0_100,refute_0_246]) ).
cnf(refute_0_248,plain,
join(sk1,meet(sk2,sk3)) = complement(complement(join(sk1,meet(sk2,sk3)))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(join(sk1,meet(sk2,sk3))))]]) ).
cnf(refute_0_249,plain,
X_93 = join(meet(X_93,X_94),complement(join(complement(X_93),X_94))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(X_94))]]) ).
cnf(refute_0_250,plain,
meet(X_94,X_93) = meet(X_93,X_94),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(X_94)),bind(X_35,$fot(X_93))]]) ).
cnf(refute_0_251,plain,
( meet(X_94,X_93) != meet(X_93,X_94)
| meet(X_93,X_94) = meet(X_94,X_93) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_94,X_93))),bind(Y,$fot(meet(X_93,X_94)))]]) ).
cnf(refute_0_252,plain,
meet(X_93,X_94) = meet(X_94,X_93),
inference(resolve,[$cnf( $equal(meet(X_94,X_93),meet(X_93,X_94)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| meet(X_93,X_94) != meet(X_94,X_93)
| X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) ),[1,0],$fot(meet(X_94,X_93))]]) ).
cnf(refute_0_254,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))) ),
inference(resolve,[$cnf( $equal(meet(X_93,X_94),meet(X_94,X_93)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) )],[refute_0_249,refute_0_254]) ).
cnf(refute_0_256,plain,
X_93 = join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93))))))),
inference(subst,[],[refute_0_255:[bind(X_94,$fot(join(X_186,complement(join(X_186,complement(X_93))))))]]) ).
cnf(refute_0_257,plain,
join(join(X_15,complement(join(B,X_15))),B) = join(B,join(X_15,complement(join(B,X_15)))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_15,complement(join(B,X_15)))))]]) ).
cnf(refute_0_258,plain,
top = join(B,join(X_15,complement(join(B,X_15)))),
inference(subst,[],[refute_0_122:[bind(X_6,$fot(B)),bind(X_7,$fot(X_15))]]) ).
cnf(refute_0_259,plain,
( top != join(B,join(X_15,complement(join(B,X_15))))
| join(B,join(X_15,complement(join(B,X_15)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(B,join(X_15,complement(join(B,X_15))))))]]) ).
cnf(refute_0_260,plain,
join(B,join(X_15,complement(join(B,X_15)))) = top,
inference(resolve,[$cnf( $equal(top,join(B,join(X_15,complement(join(B,X_15))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( join(B,join(X_15,complement(join(B,X_15)))) != top
| join(join(X_15,complement(join(B,X_15))),B) != join(B,join(X_15,complement(join(B,X_15))))
| join(join(X_15,complement(join(B,X_15))),B) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),join(B,join(X_15,complement(join(B,X_15))))) ),[1],$fot(top)]]) ).
cnf(refute_0_262,plain,
( join(join(X_15,complement(join(B,X_15))),B) != join(B,join(X_15,complement(join(B,X_15))))
| join(join(X_15,complement(join(B,X_15))),B) = top ),
inference(resolve,[$cnf( $equal(join(B,join(X_15,complement(join(B,X_15)))),top) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
join(join(X_15,complement(join(B,X_15))),B) = top,
inference(resolve,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),join(B,join(X_15,complement(join(B,X_15))))) )],[refute_0_257,refute_0_262]) ).
cnf(refute_0_264,plain,
join(X_6,join(X_7,X_8)) = join(join(X_6,X_7),X_8),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_6)),bind(B,$fot(X_7)),bind(C,$fot(X_8))]]) ).
cnf(refute_0_265,plain,
join(X_8,X_7) = join(X_7,X_8),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_8)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_266,plain,
( join(X_8,X_7) != join(X_7,X_8)
| join(X_7,X_8) = join(X_8,X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_8,X_7))),bind(Y,$fot(join(X_7,X_8)))]]) ).
cnf(refute_0_267,plain,
join(X_7,X_8) = join(X_8,X_7),
inference(resolve,[$cnf( $equal(join(X_8,X_7),join(X_7,X_8)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_7,X_8) != join(X_8,X_7)
| join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) ),[0,1],$fot(join(X_8,X_7))]]) ).
cnf(refute_0_269,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8) ),
inference(resolve,[$cnf( $equal(join(X_7,X_8),join(X_8,X_7)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) )],[refute_0_264,refute_0_269]) ).
cnf(refute_0_271,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_272,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_271]) ).
cnf(refute_0_273,plain,
join(join(X_6,X_7),X_8) = join(X_6,join(X_7,X_8)),
inference(subst,[],[refute_0_272:[bind(A,$fot(X_6)),bind(B,$fot(X_7)),bind(C,$fot(X_8))]]) ).
cnf(refute_0_274,plain,
( join(X_6,join(X_8,X_7)) != join(join(X_6,X_7),X_8)
| join(join(X_6,X_7),X_8) != join(X_6,join(X_7,X_8))
| join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,join(X_8,X_7)),join(X_6,join(X_7,X_8))) ),[0],$fot(join(join(X_6,X_7),X_8))]]) ).
cnf(refute_0_275,plain,
( join(X_6,join(X_8,X_7)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(join(join(X_6,X_7),X_8),join(X_6,join(X_7,X_8))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_8,X_7)),join(join(X_6,X_7),X_8)) )],[refute_0_270,refute_0_275]) ).
cnf(refute_0_277,plain,
( join(X_6,join(X_8,X_7)) != join(X_6,join(X_7,X_8))
| join(X_6,join(X_7,X_8)) = join(X_6,join(X_8,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(X_8,X_7)))),bind(Y,$fot(join(X_6,join(X_7,X_8))))]]) ).
cnf(refute_0_278,plain,
join(X_6,join(X_7,X_8)) = join(X_6,join(X_8,X_7)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_8,X_7)),join(X_6,join(X_7,X_8))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
join(X_15,join(complement(join(B,X_15)),B)) = join(X_15,join(B,complement(join(B,X_15)))),
inference(subst,[],[refute_0_278:[bind(X_6,$fot(X_15)),bind(X_7,$fot(complement(join(B,X_15)))),bind(X_8,$fot(B))]]) ).
cnf(refute_0_280,plain,
join(join(X_15,complement(join(B,X_15))),B) = join(X_15,join(complement(join(B,X_15)),B)),
inference(subst,[],[refute_0_272:[bind(A,$fot(X_15)),bind(B,$fot(complement(join(B,X_15)))),bind(C,$fot(B))]]) ).
cnf(refute_0_281,plain,
( join(X_15,join(complement(join(B,X_15)),B)) != join(X_15,join(B,complement(join(B,X_15))))
| join(join(X_15,complement(join(B,X_15))),B) != join(X_15,join(complement(join(B,X_15)),B))
| join(join(X_15,complement(join(B,X_15))),B) = join(X_15,join(B,complement(join(B,X_15)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_15,complement(join(B,X_15))),B))),bind(Y,$fot(join(X_15,join(complement(join(B,X_15)),B)))),bind(Z,$fot(join(X_15,join(B,complement(join(B,X_15))))))]]) ).
cnf(refute_0_282,plain,
( join(X_15,join(complement(join(B,X_15)),B)) != join(X_15,join(B,complement(join(B,X_15))))
| join(join(X_15,complement(join(B,X_15))),B) = join(X_15,join(B,complement(join(B,X_15)))) ),
inference(resolve,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),join(X_15,join(complement(join(B,X_15)),B))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(join(X_15,complement(join(B,X_15))),B) = join(X_15,join(B,complement(join(B,X_15)))),
inference(resolve,[$cnf( $equal(join(X_15,join(complement(join(B,X_15)),B)),join(X_15,join(B,complement(join(B,X_15))))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( join(join(X_15,complement(join(B,X_15))),B) != join(X_15,join(B,complement(join(B,X_15))))
| join(join(X_15,complement(join(B,X_15))),B) != top
| join(X_15,join(B,complement(join(B,X_15)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),top) ),[0],$fot(join(X_15,join(B,complement(join(B,X_15)))))]]) ).
cnf(refute_0_285,plain,
( join(join(X_15,complement(join(B,X_15))),B) != top
| join(X_15,join(B,complement(join(B,X_15)))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),join(X_15,join(B,complement(join(B,X_15))))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
join(X_15,join(B,complement(join(B,X_15)))) = top,
inference(resolve,[$cnf( $equal(join(join(X_15,complement(join(B,X_15))),B),top) )],[refute_0_263,refute_0_285]) ).
cnf(refute_0_287,plain,
join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93))))) = top,
inference(subst,[],[refute_0_286:[bind(B,$fot(X_186)),bind(X_15,$fot(complement(X_93)))]]) ).
cnf(refute_0_288,plain,
( X_93 != join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93)))))))
| join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93))))) != top
| X_93 = join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_289,plain,
( X_93 != join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93)))))))
| X_93 = join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93))))),top) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
X_93 = join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(join(complement(X_93),join(X_186,complement(join(X_186,complement(X_93)))))))) )],[refute_0_256,refute_0_289]) ).
cnf(refute_0_291,plain,
X_93 = join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_292,plain,
top = join(complement(X_93),complement(complement(X_93))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_93)))]]) ).
cnf(refute_0_293,plain,
( top != join(complement(X_93),complement(complement(X_93)))
| join(complement(X_93),complement(complement(X_93))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_93),complement(complement(X_93)))))]]) ).
cnf(refute_0_294,plain,
join(complement(X_93),complement(complement(X_93))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_93),complement(complement(X_93)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))
| join(complement(X_93),complement(complement(X_93))) != top
| X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_296,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))
| X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),complement(complement(X_93))),top) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))) )],[refute_0_291,refute_0_296]) ).
cnf(refute_0_298,plain,
join(complement(top),meet(X_93,complement(complement(X_93)))) = join(complement(top),meet(X_93,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_299,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,complement(complement(X_93)))) != join(complement(top),meet(X_93,complement(complement(X_93))))
| join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(complement(top),meet(X_93,complement(complement(X_93))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_300,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(complement(top),meet(X_93,complement(complement(X_93))))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_300]) ).
cnf(refute_0_302,plain,
join(meet(X_93,complement(complement(X_93))),complement(top)) = join(complement(top),meet(X_93,complement(complement(X_93)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_303,plain,
( join(complement(top),meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) != join(complement(top),meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,complement(complement(X_93))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,complement(complement(X_93)))))),bind(Z,$fot(join(zero,meet(X_93,complement(complement(X_93))))))]]) ).
cnf(refute_0_304,plain,
( join(complement(top),meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(complement(X_93))),complement(top)),join(complement(top),meet(X_93,complement(complement(X_93))))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(top))
| join(meet(X_93,complement(complement(X_93))),complement(top)) != join(zero,meet(X_93,complement(complement(X_93))))
| X_93 = join(zero,meet(X_93,complement(complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,complement(complement(X_93))))) ),[0],$fot(join(meet(X_93,complement(complement(X_93))),complement(top)))]]) ).
cnf(refute_0_307,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(top))
| X_93 = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(complement(X_93))),complement(top)),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
X_93 = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(top))) )],[refute_0_297,refute_0_307]) ).
cnf(refute_0_309,plain,
meet(B,B) = complement(join(complement(B),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_310,plain,
( join(complement(B),complement(B)) != complement(B)
| meet(B,B) != complement(join(complement(B),complement(B)))
| meet(B,B) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_311,plain,
( meet(B,B) != complement(join(complement(B),complement(B)))
| meet(B,B) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(B),complement(B)),complement(B)) )],[refute_0_78,refute_0_310]) ).
cnf(refute_0_312,plain,
meet(B,B) = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) )],[refute_0_309,refute_0_311]) ).
cnf(refute_0_313,plain,
( X_93 != complement(complement(X_93))
| complement(complement(X_93)) = X_93 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_93)),bind(Y,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_314,plain,
complement(complement(X_93)) = X_93,
inference(resolve,[$cnf( $equal(X_93,complement(complement(X_93))) )],[refute_0_247,refute_0_313]) ).
cnf(refute_0_315,plain,
complement(complement(B)) = B,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(B))]]) ).
cnf(refute_0_316,plain,
( complement(complement(B)) != B
| meet(B,B) != complement(complement(B))
| meet(B,B) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,B),complement(complement(B))) ),[1],$fot(B)]]) ).
cnf(refute_0_317,plain,
( meet(B,B) != complement(complement(B))
| meet(B,B) = B ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
meet(B,B) = B,
inference(resolve,[$cnf( $equal(meet(B,B),complement(complement(B))) )],[refute_0_312,refute_0_317]) ).
cnf(refute_0_319,plain,
meet(X_93,X_93) = X_93,
inference(subst,[],[refute_0_318:[bind(B,$fot(X_93))]]) ).
cnf(refute_0_320,plain,
meet(X_93,complement(complement(X_93))) = meet(X_93,complement(complement(X_93))),
introduced(tautology,[refl,[$fot(meet(X_93,complement(complement(X_93))))]]) ).
cnf(refute_0_321,plain,
( complement(complement(X_93)) != X_93
| meet(X_93,complement(complement(X_93))) != meet(X_93,complement(complement(X_93)))
| meet(X_93,complement(complement(X_93))) = meet(X_93,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,complement(complement(X_93)))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_322,plain,
( complement(complement(X_93)) != X_93
| meet(X_93,complement(complement(X_93))) = meet(X_93,X_93) ),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,complement(complement(X_93)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
meet(X_93,complement(complement(X_93))) = meet(X_93,X_93),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_322]) ).
cnf(refute_0_324,plain,
( meet(X_93,X_93) != X_93
| meet(X_93,complement(complement(X_93))) != meet(X_93,X_93)
| meet(X_93,complement(complement(X_93))) = X_93 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(X_93,complement(complement(X_93))))),bind(Y,$fot(meet(X_93,X_93))),bind(Z,$fot(X_93))]]) ).
cnf(refute_0_325,plain,
( meet(X_93,X_93) != X_93
| meet(X_93,complement(complement(X_93))) = X_93 ),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,X_93)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
meet(X_93,complement(complement(X_93))) = X_93,
inference(resolve,[$cnf( $equal(meet(X_93,X_93),X_93) )],[refute_0_319,refute_0_325]) ).
cnf(refute_0_327,plain,
join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_328,plain,
( join(zero,meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| meet(X_93,complement(complement(X_93))) != X_93
| join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_329,plain,
( meet(X_93,complement(complement(X_93))) != X_93
| join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),X_93) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( X_93 != join(zero,meet(X_93,complement(complement(X_93))))
| join(zero,meet(X_93,complement(complement(X_93)))) != join(zero,X_93)
| X_93 = join(zero,X_93) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,X_93)) ),[0],$fot(join(zero,meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_332,plain,
( X_93 != join(zero,meet(X_93,complement(complement(X_93))))
| X_93 = join(zero,X_93) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,X_93)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
X_93 = join(zero,X_93),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_308,refute_0_332]) ).
cnf(refute_0_334,plain,
( X_93 != join(zero,X_93)
| join(zero,X_93) = X_93 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_93)),bind(Y,$fot(join(zero,X_93)))]]) ).
cnf(refute_0_335,plain,
join(zero,X_93) = X_93,
inference(resolve,[$cnf( $equal(X_93,join(zero,X_93)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))))]]) ).
cnf(refute_0_337,plain,
( meet(X_34,X_35) != meet(X_35,X_34)
| meet(X_35,X_34) = meet(X_34,X_35) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_34,X_35))),bind(Y,$fot(meet(X_35,X_34)))]]) ).
cnf(refute_0_338,plain,
meet(X_35,X_34) = meet(X_34,X_35),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),meet(X_35,X_34)) )],[refute_0_220,refute_0_337]) ).
cnf(refute_0_339,plain,
meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(X_93)),bind(X_35,$fot(join(X_186,complement(join(X_186,complement(X_93))))))]]) ).
cnf(refute_0_340,plain,
join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))]]) ).
cnf(refute_0_341,plain,
( join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))
| meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) ),[1,1],$fot(meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))]]) ).
cnf(refute_0_342,plain,
( meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))),
inference(resolve,[$cnf( $equal(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))]]) ).
cnf(refute_0_345,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_346,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_346]) ).
cnf(refute_0_348,plain,
( join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))
| join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))),bind(Y,$fot(join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))),bind(Z,$fot(join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))))]]) ).
cnf(refute_0_349,plain,
( join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))) )],[refute_0_343,refute_0_349]) ).
cnf(refute_0_351,plain,
( join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))
| join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))),bind(Y,$fot(join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))))),bind(Z,$fot(meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))))]]) ).
cnf(refute_0_352,plain,
( join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))),meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) )],[refute_0_336,refute_0_352]) ).
cnf(refute_0_354,plain,
join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) = join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))]]) ).
cnf(refute_0_355,plain,
( join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) != join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))
| join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)))),bind(Z,$fot(meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))))]]) ).
cnf(refute_0_356,plain,
( join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)),join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93)),meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
( X_93 != join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top))
| join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)) != meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))
| X_93 = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) ),[0],$fot(join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)))]]) ).
cnf(refute_0_359,plain,
( X_93 != join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top))
| X_93 = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top)),meet(X_93,join(X_186,complement(join(X_186,complement(X_93)))))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
X_93 = meet(X_93,join(X_186,complement(join(X_186,complement(X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(join(X_186,complement(join(X_186,complement(X_93)))),X_93),complement(top))) )],[refute_0_290,refute_0_359]) ).
cnf(refute_0_361,plain,
complement(X_93) = meet(complement(X_93),join(X_188,complement(join(X_188,complement(complement(X_93)))))),
inference(subst,[],[refute_0_360:[bind(X_186,$fot(X_188)),bind(X_93,$fot(complement(X_93)))]]) ).
cnf(refute_0_362,plain,
( complement(X_93) != meet(complement(X_93),join(X_188,complement(join(X_188,complement(complement(X_93))))))
| complement(complement(X_93)) != X_93
| complement(X_93) = meet(complement(X_93),join(X_188,complement(join(X_188,X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_93),meet(complement(X_93),join(X_188,complement(join(X_188,complement(complement(X_93))))))) ),[1,1,1,0,1],$fot(X_93)]]) ).
cnf(refute_0_363,plain,
( complement(X_93) != meet(complement(X_93),join(X_188,complement(join(X_188,complement(complement(X_93))))))
| complement(X_93) = meet(complement(X_93),join(X_188,complement(join(X_188,X_93)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_362]) ).
cnf(refute_0_364,plain,
complement(X_93) = meet(complement(X_93),join(X_188,complement(join(X_188,X_93)))),
inference(resolve,[$cnf( $equal(complement(X_93),meet(complement(X_93),join(X_188,complement(join(X_188,complement(complement(X_93))))))) )],[refute_0_361,refute_0_363]) ).
cnf(refute_0_365,plain,
complement(meet(sk2,sk3)) = meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(join(complement(sk1),meet(sk2,sk3))))),
inference(subst,[],[refute_0_364:[bind(X_188,$fot(complement(sk1))),bind(X_93,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_366,plain,
join(X_7,X_6) = join(X_6,X_7),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_7)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_367,plain,
( join(X_7,X_6) != join(X_6,X_7)
| join(X_6,X_7) = join(X_7,X_6) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_7,X_6))),bind(Y,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_368,plain,
join(X_6,X_7) = join(X_7,X_6),
inference(resolve,[$cnf( $equal(join(X_7,X_6),join(X_6,X_7)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
( join(X_6,X_7) != join(X_7,X_6)
| join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_7,X_8)) = join(join(X_7,X_6),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) ),[1,0],$fot(join(X_7,X_6))]]) ).
cnf(refute_0_370,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_7,X_8)) = join(join(X_7,X_6),X_8) ),
inference(resolve,[$cnf( $equal(join(X_6,X_7),join(X_7,X_6)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
join(X_6,join(X_7,X_8)) = join(join(X_7,X_6),X_8),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) )],[refute_0_264,refute_0_370]) ).
cnf(refute_0_372,plain,
join(join(X_7,X_6),X_8) = join(X_7,join(X_6,X_8)),
inference(subst,[],[refute_0_272:[bind(A,$fot(X_7)),bind(B,$fot(X_6)),bind(C,$fot(X_8))]]) ).
cnf(refute_0_373,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_7,X_6),X_8)
| join(join(X_7,X_6),X_8) != join(X_7,join(X_6,X_8))
| join(X_6,join(X_7,X_8)) = join(X_7,join(X_6,X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,join(X_7,X_8)),join(X_7,join(X_6,X_8))) ),[0],$fot(join(join(X_7,X_6),X_8))]]) ).
cnf(refute_0_374,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_7,X_6),X_8)
| join(X_6,join(X_7,X_8)) = join(X_7,join(X_6,X_8)) ),
inference(resolve,[$cnf( $equal(join(join(X_7,X_6),X_8),join(X_7,join(X_6,X_8))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
join(X_6,join(X_7,X_8)) = join(X_7,join(X_6,X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_7,X_6),X_8)) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
join(A,join(X_6,X_7)) = join(join(X_6,X_7),A),
inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_377,plain,
join(X_6,join(X_7,A)) = join(join(X_6,X_7),A),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_6)),bind(B,$fot(X_7)),bind(C,$fot(A))]]) ).
cnf(refute_0_378,plain,
( join(X_6,join(X_7,A)) != join(join(X_6,X_7),A)
| join(join(X_6,X_7),A) = join(X_6,join(X_7,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(X_7,A)))),bind(Y,$fot(join(join(X_6,X_7),A)))]]) ).
cnf(refute_0_379,plain,
join(join(X_6,X_7),A) = join(X_6,join(X_7,A)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,A)),join(join(X_6,X_7),A)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( join(A,join(X_6,X_7)) != join(join(X_6,X_7),A)
| join(join(X_6,X_7),A) != join(X_6,join(X_7,A))
| join(A,join(X_6,X_7)) = join(X_6,join(X_7,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_6,X_7)),join(X_6,join(X_7,A))) ),[0],$fot(join(join(X_6,X_7),A))]]) ).
cnf(refute_0_381,plain,
( join(A,join(X_6,X_7)) != join(join(X_6,X_7),A)
| join(A,join(X_6,X_7)) = join(X_6,join(X_7,A)) ),
inference(resolve,[$cnf( $equal(join(join(X_6,X_7),A),join(X_6,join(X_7,A))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
join(A,join(X_6,X_7)) = join(X_6,join(X_7,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_6,X_7)),join(join(X_6,X_7),A)) )],[refute_0_376,refute_0_381]) ).
cnf(refute_0_383,plain,
join(X_8,join(X_7,X_6)) = join(X_7,join(X_6,X_8)),
inference(subst,[],[refute_0_382:[bind(A,$fot(X_8)),bind(X_6,$fot(X_7)),bind(X_7,$fot(X_6))]]) ).
cnf(refute_0_384,plain,
( join(X_8,join(X_7,X_6)) != join(X_7,join(X_6,X_8))
| join(X_7,join(X_6,X_8)) = join(X_8,join(X_7,X_6)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_8,join(X_7,X_6)))),bind(Y,$fot(join(X_7,join(X_6,X_8))))]]) ).
cnf(refute_0_385,plain,
join(X_7,join(X_6,X_8)) = join(X_8,join(X_7,X_6)),
inference(resolve,[$cnf( $equal(join(X_8,join(X_7,X_6)),join(X_7,join(X_6,X_8))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( join(X_6,join(X_7,X_8)) != join(X_7,join(X_6,X_8))
| join(X_7,join(X_6,X_8)) != join(X_8,join(X_7,X_6))
| join(X_6,join(X_7,X_8)) = join(X_8,join(X_7,X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,join(X_7,X_8)),join(X_8,join(X_7,X_6))) ),[0],$fot(join(X_7,join(X_6,X_8)))]]) ).
cnf(refute_0_387,plain,
( join(X_6,join(X_7,X_8)) != join(X_7,join(X_6,X_8))
| join(X_6,join(X_7,X_8)) = join(X_8,join(X_7,X_6)) ),
inference(resolve,[$cnf( $equal(join(X_7,join(X_6,X_8)),join(X_8,join(X_7,X_6))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
join(X_6,join(X_7,X_8)) = join(X_8,join(X_7,X_6)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(X_7,join(X_6,X_8))) )],[refute_0_375,refute_0_387]) ).
cnf(refute_0_389,plain,
join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) = join(X_8,join(complement(sk1),meet(sk3,complement(sk2)))),
inference(subst,[],[refute_0_388:[bind(X_6,$fot(meet(sk3,complement(sk2)))),bind(X_7,$fot(complement(sk1)))]]) ).
cnf(refute_0_390,plain,
join(X_94,complement(X_93)) = join(complement(X_93),X_94),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_94)),bind(B,$fot(complement(X_93)))]]) ).
cnf(refute_0_391,plain,
( join(X_94,complement(X_93)) != join(complement(X_93),X_94)
| join(complement(X_93),X_94) = join(X_94,complement(X_93)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_94,complement(X_93)))),bind(Y,$fot(join(complement(X_93),X_94)))]]) ).
cnf(refute_0_392,plain,
join(complement(X_93),X_94) = join(X_94,complement(X_93)),
inference(resolve,[$cnf( $equal(join(X_94,complement(X_93)),join(complement(X_93),X_94)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| join(complement(X_93),X_94) != join(X_94,complement(X_93))
| X_93 = join(meet(X_93,X_94),complement(join(X_94,complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) ),[1,1,0],$fot(join(X_94,complement(X_93)))]]) ).
cnf(refute_0_394,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| X_93 = join(meet(X_93,X_94),complement(join(X_94,complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),X_94),join(X_94,complement(X_93))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
X_93 = join(meet(X_93,X_94),complement(join(X_94,complement(X_93)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) )],[refute_0_249,refute_0_394]) ).
cnf(refute_0_396,plain,
join(X_218,complement(X_217)) = join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))))),
inference(subst,[],[refute_0_395:[bind(X_93,$fot(join(X_218,complement(X_217)))),bind(X_94,$fot(meet(X_217,X_218)))]]) ).
cnf(refute_0_397,plain,
X_217 = join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))),
inference(subst,[],[refute_0_395:[bind(X_93,$fot(X_217)),bind(X_94,$fot(X_218))]]) ).
cnf(refute_0_398,plain,
( X_217 != join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))
| join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))) = X_217 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_217)),bind(Y,$fot(join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))))]]) ).
cnf(refute_0_399,plain,
join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))) = X_217,
inference(resolve,[$cnf( $equal(X_217,join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( join(X_218,complement(X_217)) != join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))))
| join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))) != X_217
| join(X_218,complement(X_217)) = join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_218,complement(X_217)),join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))))) ),[1,1,0],$fot(X_217)]]) ).
cnf(refute_0_401,plain,
( join(X_218,complement(X_217)) != join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))))
| join(X_218,complement(X_217)) = join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) ),
inference(resolve,[$cnf( $equal(join(meet(X_217,X_218),complement(join(X_218,complement(X_217)))),X_217) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
join(X_218,complement(X_217)) = join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)),
inference(resolve,[$cnf( $equal(join(X_218,complement(X_217)),join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(join(meet(X_217,X_218),complement(join(X_218,complement(X_217))))))) )],[refute_0_396,refute_0_401]) ).
cnf(refute_0_403,plain,
meet(join(X_218,complement(X_217)),meet(X_217,X_218)) = meet(meet(X_217,X_218),join(X_218,complement(X_217))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(meet(X_217,X_218))),bind(X_35,$fot(join(X_218,complement(X_217))))]]) ).
cnf(refute_0_404,plain,
join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) = join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))),
introduced(tautology,[refl,[$fot(join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))))]]) ).
cnf(refute_0_405,plain,
( join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) != join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218)))
| meet(join(X_218,complement(X_217)),meet(X_217,X_218)) != meet(meet(X_217,X_218),join(X_218,complement(X_217)))
| join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))),join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218)))) ),[1,1],$fot(meet(meet(X_217,X_218),join(X_218,complement(X_217))))]]) ).
cnf(refute_0_406,plain,
( meet(join(X_218,complement(X_217)),meet(X_217,X_218)) != meet(meet(X_217,X_218),join(X_218,complement(X_217)))
| join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))),join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))),
inference(resolve,[$cnf( $equal(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) = join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_217))),bind(B,$fot(meet(join(X_218,complement(X_217)),meet(X_217,X_218))))]]) ).
cnf(refute_0_409,plain,
( join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) != join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))
| join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) != join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218)))
| join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)))),bind(Y,$fot(join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))))),bind(Z,$fot(join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))))]]) ).
cnf(refute_0_410,plain,
( join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))) != join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))
| join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)),join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))),
inference(resolve,[$cnf( $equal(join(complement(X_217),meet(join(X_218,complement(X_217)),meet(X_217,X_218))),join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
( join(X_218,complement(X_217)) != join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217))
| join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)) != join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))
| join(X_218,complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_218,complement(X_217)),join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))) ),[0],$fot(join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)))]]) ).
cnf(refute_0_413,plain,
( join(X_218,complement(X_217)) != join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217))
| join(X_218,complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217)),join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217))))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(X_218,complement(X_217)) = join(complement(X_217),meet(meet(X_217,X_218),join(X_218,complement(X_217)))),
inference(resolve,[$cnf( $equal(join(X_218,complement(X_217)),join(meet(join(X_218,complement(X_217)),meet(X_217,X_218)),complement(X_217))) )],[refute_0_402,refute_0_413]) ).
cnf(refute_0_415,plain,
join(meet(sk3,complement(sk2)),complement(sk1)) = join(complement(sk1),meet(meet(sk1,meet(sk3,complement(sk2))),join(meet(sk3,complement(sk2)),complement(sk1)))),
inference(subst,[],[refute_0_414:[bind(X_217,$fot(sk1)),bind(X_218,$fot(meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_416,plain,
meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_417,plain,
X_93 = join(meet(X_93,complement(B)),complement(join(complement(X_93),complement(B)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_418,plain,
meet(X_93,B) = complement(join(complement(X_93),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_93))]]) ).
cnf(refute_0_419,plain,
( meet(X_93,B) != complement(join(complement(X_93),complement(B)))
| complement(join(complement(X_93),complement(B))) = meet(X_93,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_93,B))),bind(Y,$fot(complement(join(complement(X_93),complement(B)))))]]) ).
cnf(refute_0_420,plain,
complement(join(complement(X_93),complement(B))) = meet(X_93,B),
inference(resolve,[$cnf( $equal(meet(X_93,B),complement(join(complement(X_93),complement(B)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( X_93 != join(meet(X_93,complement(B)),complement(join(complement(X_93),complement(B))))
| complement(join(complement(X_93),complement(B))) != meet(X_93,B)
| X_93 = join(meet(X_93,complement(B)),meet(X_93,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(B)),complement(join(complement(X_93),complement(B))))) ),[1,1],$fot(meet(X_93,B))]]) ).
cnf(refute_0_422,plain,
( X_93 != join(meet(X_93,complement(B)),complement(join(complement(X_93),complement(B))))
| X_93 = join(meet(X_93,complement(B)),meet(X_93,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),complement(B))),meet(X_93,B)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
X_93 = join(meet(X_93,complement(B)),meet(X_93,B)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(B)),complement(join(complement(X_93),complement(B))))) )],[refute_0_417,refute_0_422]) ).
cnf(refute_0_424,plain,
join(meet(X_93,complement(B)),meet(X_93,B)) = join(meet(X_93,B),meet(X_93,complement(B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(X_93,B))),bind(B,$fot(meet(X_93,complement(B))))]]) ).
cnf(refute_0_425,plain,
( X_93 != join(meet(X_93,complement(B)),meet(X_93,B))
| join(meet(X_93,complement(B)),meet(X_93,B)) != join(meet(X_93,B),meet(X_93,complement(B)))
| X_93 = join(meet(X_93,B),meet(X_93,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(meet(X_93,B),meet(X_93,complement(B)))) ),[0],$fot(join(meet(X_93,complement(B)),meet(X_93,B)))]]) ).
cnf(refute_0_426,plain,
( X_93 != join(meet(X_93,complement(B)),meet(X_93,B))
| X_93 = join(meet(X_93,B),meet(X_93,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(B)),meet(X_93,B)),join(meet(X_93,B),meet(X_93,complement(B)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
X_93 = join(meet(X_93,B),meet(X_93,complement(B))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(B)),meet(X_93,B))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
X_115 = join(meet(X_115,X_114),meet(X_115,complement(X_114))),
inference(subst,[],[refute_0_427:[bind(B,$fot(X_114)),bind(X_93,$fot(X_115))]]) ).
cnf(refute_0_429,plain,
meet(complement(X_114),X_115) = meet(X_115,complement(X_114)),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(complement(X_114))),bind(X_35,$fot(X_115))]]) ).
cnf(refute_0_430,plain,
( meet(complement(X_114),X_115) != meet(X_115,complement(X_114))
| meet(X_115,complement(X_114)) = meet(complement(X_114),X_115) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_114),X_115))),bind(Y,$fot(meet(X_115,complement(X_114))))]]) ).
cnf(refute_0_431,plain,
meet(X_115,complement(X_114)) = meet(complement(X_114),X_115),
inference(resolve,[$cnf( $equal(meet(complement(X_114),X_115),meet(X_115,complement(X_114))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( X_115 != join(meet(X_115,X_114),meet(X_115,complement(X_114)))
| meet(X_115,complement(X_114)) != meet(complement(X_114),X_115)
| X_115 = join(meet(X_115,X_114),meet(complement(X_114),X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(X_115,join(meet(X_115,X_114),meet(X_115,complement(X_114)))) ),[1,1],$fot(meet(complement(X_114),X_115))]]) ).
cnf(refute_0_433,plain,
( X_115 != join(meet(X_115,X_114),meet(X_115,complement(X_114)))
| X_115 = join(meet(X_115,X_114),meet(complement(X_114),X_115)) ),
inference(resolve,[$cnf( $equal(meet(X_115,complement(X_114)),meet(complement(X_114),X_115)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
X_115 = join(meet(X_115,X_114),meet(complement(X_114),X_115)),
inference(resolve,[$cnf( $equal(X_115,join(meet(X_115,X_114),meet(X_115,complement(X_114)))) )],[refute_0_428,refute_0_433]) ).
cnf(refute_0_435,plain,
X_141 = join(meet(X_141,X_140),meet(complement(X_140),X_141)),
inference(subst,[],[refute_0_434:[bind(X_114,$fot(X_140)),bind(X_115,$fot(X_141))]]) ).
cnf(refute_0_436,plain,
meet(X_140,X_141) = meet(X_141,X_140),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(X_140)),bind(X_35,$fot(X_141))]]) ).
cnf(refute_0_437,plain,
( meet(X_140,X_141) != meet(X_141,X_140)
| meet(X_141,X_140) = meet(X_140,X_141) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_140,X_141))),bind(Y,$fot(meet(X_141,X_140)))]]) ).
cnf(refute_0_438,plain,
meet(X_141,X_140) = meet(X_140,X_141),
inference(resolve,[$cnf( $equal(meet(X_140,X_141),meet(X_141,X_140)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( X_141 != join(meet(X_141,X_140),meet(complement(X_140),X_141))
| meet(X_141,X_140) != meet(X_140,X_141)
| X_141 = join(meet(X_140,X_141),meet(complement(X_140),X_141)) ),
introduced(tautology,[equality,[$cnf( $equal(X_141,join(meet(X_141,X_140),meet(complement(X_140),X_141))) ),[1,0],$fot(meet(X_140,X_141))]]) ).
cnf(refute_0_440,plain,
( X_141 != join(meet(X_141,X_140),meet(complement(X_140),X_141))
| X_141 = join(meet(X_140,X_141),meet(complement(X_140),X_141)) ),
inference(resolve,[$cnf( $equal(meet(X_141,X_140),meet(X_140,X_141)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
X_141 = join(meet(X_140,X_141),meet(complement(X_140),X_141)),
inference(resolve,[$cnf( $equal(X_141,join(meet(X_141,X_140),meet(complement(X_140),X_141))) )],[refute_0_435,refute_0_440]) ).
cnf(refute_0_442,plain,
complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = join(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
inference(subst,[],[refute_0_441:[bind(X_140,$fot(sk2)),bind(X_141,$fot(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_443,plain,
meet(A,join(complement(X_34),complement(X_35))) = complement(join(complement(A),complement(join(complement(X_34),complement(X_35))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_444,plain,
( complement(join(complement(X_34),complement(X_35))) != meet(X_34,X_35)
| meet(A,join(complement(X_34),complement(X_35))) != complement(join(complement(A),complement(join(complement(X_34),complement(X_35)))))
| meet(A,join(complement(X_34),complement(X_35))) = complement(join(complement(A),meet(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),complement(join(complement(A),complement(join(complement(X_34),complement(X_35)))))) ),[1,0,1],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_445,plain,
( meet(A,join(complement(X_34),complement(X_35))) != complement(join(complement(A),complement(join(complement(X_34),complement(X_35)))))
| meet(A,join(complement(X_34),complement(X_35))) = complement(join(complement(A),meet(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(X_35))),meet(X_34,X_35)) )],[refute_0_175,refute_0_444]) ).
cnf(refute_0_446,plain,
meet(A,join(complement(X_34),complement(X_35))) = complement(join(complement(A),meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),complement(join(complement(A),complement(join(complement(X_34),complement(X_35)))))) )],[refute_0_443,refute_0_445]) ).
cnf(refute_0_447,plain,
join(complement(A),complement(B)) = join(zero,complement(complement(join(complement(A),complement(B))))),
inference(subst,[],[refute_0_100:[bind(X_93,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_448,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(A),complement(B)) != join(zero,complement(complement(join(complement(A),complement(B)))))
| join(complement(A),complement(B)) = join(zero,complement(meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(complement(join(complement(A),complement(B)))))) ),[1,1,0],$fot(meet(A,B))]]) ).
cnf(refute_0_449,plain,
( join(complement(A),complement(B)) != join(zero,complement(complement(join(complement(A),complement(B)))))
| join(complement(A),complement(B)) = join(zero,complement(meet(A,B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_448]) ).
cnf(refute_0_450,plain,
join(complement(A),complement(B)) = join(zero,complement(meet(A,B))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(complement(join(complement(A),complement(B)))))) )],[refute_0_447,refute_0_449]) ).
cnf(refute_0_451,plain,
join(zero,complement(meet(A,B))) = complement(meet(A,B)),
inference(subst,[],[refute_0_243:[bind(X_96,$fot(meet(A,B)))]]) ).
cnf(refute_0_452,plain,
( join(complement(A),complement(B)) != join(zero,complement(meet(A,B)))
| join(zero,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(meet(A,B))))]]) ).
cnf(refute_0_453,plain,
( join(complement(A),complement(B)) != join(zero,complement(meet(A,B)))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(A,B))),complement(meet(A,B))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(meet(A,B)))) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
join(complement(X_34),complement(X_35)) = complement(meet(X_34,X_35)),
inference(subst,[],[refute_0_454:[bind(A,$fot(X_34)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_456,plain,
meet(A,join(complement(X_34),complement(X_35))) = meet(A,join(complement(X_34),complement(X_35))),
introduced(tautology,[refl,[$fot(meet(A,join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_457,plain,
( join(complement(X_34),complement(X_35)) != complement(meet(X_34,X_35))
| meet(A,join(complement(X_34),complement(X_35))) != meet(A,join(complement(X_34),complement(X_35)))
| meet(A,join(complement(X_34),complement(X_35))) = meet(A,complement(meet(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),meet(A,join(complement(X_34),complement(X_35)))) ),[1,1],$fot(complement(meet(X_34,X_35)))]]) ).
cnf(refute_0_458,plain,
( join(complement(X_34),complement(X_35)) != complement(meet(X_34,X_35))
| meet(A,join(complement(X_34),complement(X_35))) = meet(A,complement(meet(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),meet(A,join(complement(X_34),complement(X_35)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
meet(A,join(complement(X_34),complement(X_35))) = meet(A,complement(meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(X_35)),complement(meet(X_34,X_35))) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
( meet(A,join(complement(X_34),complement(X_35))) != complement(join(complement(A),meet(X_34,X_35)))
| meet(A,join(complement(X_34),complement(X_35))) != meet(A,complement(meet(X_34,X_35)))
| meet(A,complement(meet(X_34,X_35))) = complement(join(complement(A),meet(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),complement(join(complement(A),meet(X_34,X_35)))) ),[0],$fot(meet(A,complement(meet(X_34,X_35))))]]) ).
cnf(refute_0_461,plain,
( meet(A,join(complement(X_34),complement(X_35))) != complement(join(complement(A),meet(X_34,X_35)))
| meet(A,complement(meet(X_34,X_35))) = complement(join(complement(A),meet(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),meet(A,complement(meet(X_34,X_35)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
meet(A,complement(meet(X_34,X_35))) = complement(join(complement(A),meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_34),complement(X_35))),complement(join(complement(A),meet(X_34,X_35)))) )],[refute_0_446,refute_0_461]) ).
cnf(refute_0_463,plain,
meet(X_401,complement(meet(top,X_403))) = complement(join(complement(X_401),meet(top,X_403))),
inference(subst,[],[refute_0_462:[bind(A,$fot(X_401)),bind(X_34,$fot(top)),bind(X_35,$fot(X_403))]]) ).
cnf(refute_0_464,plain,
join(zero,complement(B)) = complement(B),
inference(subst,[],[refute_0_243:[bind(X_96,$fot(B))]]) ).
cnf(refute_0_465,plain,
complement(join(zero,complement(B))) = complement(join(zero,complement(B))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(B))))]]) ).
cnf(refute_0_466,plain,
( complement(join(zero,complement(B))) != complement(join(zero,complement(B)))
| join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_467,plain,
( join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
complement(join(zero,complement(B))) = complement(complement(B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( complement(join(zero,complement(B))) != complement(complement(B))
| meet(top,B) != complement(join(zero,complement(B)))
| meet(top,B) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) ),[1],$fot(complement(complement(B)))]]) ).
cnf(refute_0_470,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| meet(top,B) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(complement(B))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
meet(top,B) = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_231,refute_0_470]) ).
cnf(refute_0_472,plain,
( complement(complement(B)) != B
| meet(top,B) != complement(complement(B))
| meet(top,B) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(complement(B))) ),[1],$fot(B)]]) ).
cnf(refute_0_473,plain,
( meet(top,B) != complement(complement(B))
| meet(top,B) = B ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_315,refute_0_472]) ).
cnf(refute_0_474,plain,
meet(top,B) = B,
inference(resolve,[$cnf( $equal(meet(top,B),complement(complement(B))) )],[refute_0_471,refute_0_473]) ).
cnf(refute_0_475,plain,
meet(top,X_403) = X_403,
inference(subst,[],[refute_0_474:[bind(B,$fot(X_403))]]) ).
cnf(refute_0_476,plain,
( meet(X_401,complement(meet(top,X_403))) != complement(join(complement(X_401),meet(top,X_403)))
| meet(top,X_403) != X_403
| meet(X_401,complement(meet(top,X_403))) = complement(join(complement(X_401),X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),complement(join(complement(X_401),meet(top,X_403)))) ),[1,0,1],$fot(X_403)]]) ).
cnf(refute_0_477,plain,
( meet(X_401,complement(meet(top,X_403))) != complement(join(complement(X_401),meet(top,X_403)))
| meet(X_401,complement(meet(top,X_403))) = complement(join(complement(X_401),X_403)) ),
inference(resolve,[$cnf( $equal(meet(top,X_403),X_403) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(X_401,complement(meet(top,X_403))) = complement(join(complement(X_401),X_403)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),complement(join(complement(X_401),meet(top,X_403)))) )],[refute_0_463,refute_0_477]) ).
cnf(refute_0_479,plain,
complement(meet(top,X_403)) = complement(meet(top,X_403)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_403)))]]) ).
cnf(refute_0_480,plain,
( complement(meet(top,X_403)) != complement(meet(top,X_403))
| meet(top,X_403) != X_403
| complement(meet(top,X_403)) = complement(X_403) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_403)),complement(meet(top,X_403))) ),[1,0],$fot(X_403)]]) ).
cnf(refute_0_481,plain,
( meet(top,X_403) != X_403
| complement(meet(top,X_403)) = complement(X_403) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_403)),complement(meet(top,X_403))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
complement(meet(top,X_403)) = complement(X_403),
inference(resolve,[$cnf( $equal(meet(top,X_403),X_403) )],[refute_0_475,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(X_401,complement(meet(top,X_403))) = meet(X_401,complement(meet(top,X_403))),
introduced(tautology,[refl,[$fot(meet(X_401,complement(meet(top,X_403))))]]) ).
cnf(refute_0_484,plain,
( complement(meet(top,X_403)) != complement(X_403)
| meet(X_401,complement(meet(top,X_403))) != meet(X_401,complement(meet(top,X_403)))
| meet(X_401,complement(meet(top,X_403))) = meet(X_401,complement(X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),meet(X_401,complement(meet(top,X_403)))) ),[1,1],$fot(complement(X_403))]]) ).
cnf(refute_0_485,plain,
( complement(meet(top,X_403)) != complement(X_403)
| meet(X_401,complement(meet(top,X_403))) = meet(X_401,complement(X_403)) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),meet(X_401,complement(meet(top,X_403)))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
meet(X_401,complement(meet(top,X_403))) = meet(X_401,complement(X_403)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_403)),complement(X_403)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( meet(X_401,complement(meet(top,X_403))) != complement(join(complement(X_401),X_403))
| meet(X_401,complement(meet(top,X_403))) != meet(X_401,complement(X_403))
| meet(X_401,complement(X_403)) = complement(join(complement(X_401),X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),complement(join(complement(X_401),X_403))) ),[0],$fot(meet(X_401,complement(X_403)))]]) ).
cnf(refute_0_488,plain,
( meet(X_401,complement(meet(top,X_403))) != complement(join(complement(X_401),X_403))
| meet(X_401,complement(X_403)) = complement(join(complement(X_401),X_403)) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),meet(X_401,complement(X_403))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
meet(X_401,complement(X_403)) = complement(join(complement(X_401),X_403)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(top,X_403))),complement(join(complement(X_401),X_403))) )],[refute_0_478,refute_0_488]) ).
cnf(refute_0_490,plain,
meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(sk2)),bind(X_403,$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_491,plain,
X_93 = join(meet(X_93,join(X_6,X_8)),complement(join(complement(X_93),join(X_6,X_8)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(join(X_6,X_8)))]]) ).
cnf(refute_0_492,plain,
join(X_6,join(complement(X_93),X_8)) = join(complement(X_93),join(X_6,X_8)),
inference(subst,[],[refute_0_375:[bind(X_7,$fot(complement(X_93)))]]) ).
cnf(refute_0_493,plain,
( join(X_6,join(complement(X_93),X_8)) != join(complement(X_93),join(X_6,X_8))
| join(complement(X_93),join(X_6,X_8)) = join(X_6,join(complement(X_93),X_8)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(complement(X_93),X_8)))),bind(Y,$fot(join(complement(X_93),join(X_6,X_8))))]]) ).
cnf(refute_0_494,plain,
join(complement(X_93),join(X_6,X_8)) = join(X_6,join(complement(X_93),X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_93),X_8)),join(complement(X_93),join(X_6,X_8))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( X_93 != join(meet(X_93,join(X_6,X_8)),complement(join(complement(X_93),join(X_6,X_8))))
| join(complement(X_93),join(X_6,X_8)) != join(X_6,join(complement(X_93),X_8))
| X_93 = join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,join(X_6,X_8)),complement(join(complement(X_93),join(X_6,X_8))))) ),[1,1,0],$fot(join(X_6,join(complement(X_93),X_8)))]]) ).
cnf(refute_0_496,plain,
( X_93 != join(meet(X_93,join(X_6,X_8)),complement(join(complement(X_93),join(X_6,X_8))))
| X_93 = join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(X_6,X_8)),join(X_6,join(complement(X_93),X_8))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
X_93 = join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_6,X_8)),complement(join(complement(X_93),join(X_6,X_8))))) )],[refute_0_491,refute_0_496]) ).
cnf(refute_0_498,plain,
X_93 = join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(join(complement(X_93),join(X_17,complement(complement(X_93)))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(join(X_17,complement(complement(X_93)))))]]) ).
cnf(refute_0_499,plain,
join(sk1,join(top,C)) = join(join(sk1,top),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(top))]]) ).
cnf(refute_0_500,plain,
join(sk1,join(sk2,X_8)) = join(join(sk1,sk2),X_8),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(X_8))]]) ).
cnf(refute_0_501,plain,
( join(sk1,join(sk2,X_8)) != join(join(sk1,sk2),X_8)
| join(sk1,sk2) != sk2
| join(sk1,join(sk2,X_8)) = join(sk2,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,X_8)),join(join(sk1,sk2),X_8)) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_502,plain,
( join(sk1,join(sk2,X_8)) != join(join(sk1,sk2),X_8)
| join(sk1,join(sk2,X_8)) = join(sk2,X_8) ),
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[goals_14,refute_0_501]) ).
cnf(refute_0_503,plain,
join(sk1,join(sk2,X_8)) = join(sk2,X_8),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,X_8)),join(join(sk1,sk2),X_8)) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
join(sk1,join(sk2,complement(sk2))) = join(sk2,complement(sk2)),
inference(subst,[],[refute_0_503:[bind(X_8,$fot(complement(sk2)))]]) ).
cnf(refute_0_505,plain,
top = join(sk2,complement(sk2)),
inference(subst,[],[def_top_12:[bind(A,$fot(sk2))]]) ).
cnf(refute_0_506,plain,
( top != join(sk2,complement(sk2))
| join(sk2,complement(sk2)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk2,complement(sk2))))]]) ).
cnf(refute_0_507,plain,
join(sk2,complement(sk2)) = top,
inference(resolve,[$cnf( $equal(top,join(sk2,complement(sk2))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
( join(sk1,join(sk2,complement(sk2))) != join(sk2,complement(sk2))
| join(sk2,complement(sk2)) != top
| join(sk1,top) = join(sk2,complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,complement(sk2))),join(sk2,complement(sk2))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_509,plain,
( join(sk1,join(sk2,complement(sk2))) != join(sk2,complement(sk2))
| join(sk1,top) = join(sk2,complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(sk2)),top) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
join(sk1,top) = join(sk2,complement(sk2)),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,complement(sk2))),join(sk2,complement(sk2))) )],[refute_0_504,refute_0_509]) ).
cnf(refute_0_511,plain,
( join(sk1,top) != join(sk2,complement(sk2))
| join(sk2,complement(sk2)) != top
| join(sk1,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,top),top) ),[0],$fot(join(sk2,complement(sk2)))]]) ).
cnf(refute_0_512,plain,
( join(sk1,top) != join(sk2,complement(sk2))
| join(sk1,top) = top ),
inference(resolve,[$cnf( $equal(join(sk2,complement(sk2)),top) )],[refute_0_507,refute_0_511]) ).
cnf(refute_0_513,plain,
join(sk1,top) = top,
inference(resolve,[$cnf( $equal(join(sk1,top),join(sk2,complement(sk2))) )],[refute_0_510,refute_0_512]) ).
cnf(refute_0_514,plain,
( join(sk1,join(top,C)) != join(join(sk1,top),C)
| join(sk1,top) != top
| join(sk1,join(top,C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_515,plain,
( join(sk1,join(top,C)) != join(join(sk1,top),C)
| join(sk1,join(top,C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
join(sk1,join(top,C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) )],[refute_0_499,refute_0_515]) ).
cnf(refute_0_517,plain,
join(sk1,join(top,X_44)) = join(top,X_44),
inference(subst,[],[refute_0_516:[bind(C,$fot(X_44))]]) ).
cnf(refute_0_518,plain,
join(X_44,top) = join(top,X_44),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_44)),bind(B,$fot(top))]]) ).
cnf(refute_0_519,plain,
( join(X_44,top) != join(top,X_44)
| join(top,X_44) = join(X_44,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_44,top))),bind(Y,$fot(join(top,X_44)))]]) ).
cnf(refute_0_520,plain,
join(top,X_44) = join(X_44,top),
inference(resolve,[$cnf( $equal(join(X_44,top),join(top,X_44)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
( join(sk1,join(top,X_44)) != join(top,X_44)
| join(top,X_44) != join(X_44,top)
| join(sk1,join(X_44,top)) = join(top,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,X_44)),join(top,X_44)) ),[0,1],$fot(join(X_44,top))]]) ).
cnf(refute_0_522,plain,
( join(sk1,join(top,X_44)) != join(top,X_44)
| join(sk1,join(X_44,top)) = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(top,X_44),join(X_44,top)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
join(sk1,join(X_44,top)) = join(top,X_44),
inference(resolve,[$cnf( $equal(join(sk1,join(top,X_44)),join(top,X_44)) )],[refute_0_517,refute_0_522]) ).
cnf(refute_0_524,plain,
join(X_44,top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(X_44))]]) ).
cnf(refute_0_525,plain,
join(sk1,join(X_44,top)) = join(sk1,join(X_44,top)),
introduced(tautology,[refl,[$fot(join(sk1,join(X_44,top)))]]) ).
cnf(refute_0_526,plain,
( join(X_44,top) != top
| join(sk1,join(X_44,top)) != join(sk1,join(X_44,top))
| join(sk1,join(X_44,top)) = join(sk1,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_44,top)),join(sk1,join(X_44,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_527,plain,
( join(X_44,top) != top
| join(sk1,join(X_44,top)) = join(sk1,top) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_44,top)),join(sk1,join(X_44,top))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
join(sk1,join(X_44,top)) = join(sk1,top),
inference(resolve,[$cnf( $equal(join(X_44,top),top) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( join(sk1,join(X_44,top)) != join(sk1,top)
| join(sk1,top) != top
| join(sk1,join(X_44,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(X_44,top)))),bind(Y,$fot(join(sk1,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_530,plain,
( join(sk1,top) != top
| join(sk1,join(X_44,top)) = top ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_44,top)),join(sk1,top)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(sk1,join(X_44,top)) = top,
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_513,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(sk1,join(X_44,top)) != join(top,X_44)
| join(sk1,join(X_44,top)) != top
| top = join(top,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_44,top)),join(top,X_44)) ),[0],$fot(top)]]) ).
cnf(refute_0_533,plain,
( join(sk1,join(X_44,top)) != join(top,X_44)
| top = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_44,top)),top) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
top = join(top,X_44),
inference(resolve,[$cnf( $equal(join(sk1,join(X_44,top)),join(top,X_44)) )],[refute_0_523,refute_0_533]) ).
cnf(refute_0_535,plain,
( top != join(top,X_44)
| join(top,X_44) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_44)))]]) ).
cnf(refute_0_536,plain,
join(top,X_44) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_44)) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
join(top,X_17) = top,
inference(subst,[],[refute_0_536:[bind(X_44,$fot(X_17))]]) ).
cnf(refute_0_538,plain,
( join(X_16,join(X_17,complement(X_16))) != join(top,X_17)
| join(top,X_17) != top
| join(X_16,join(X_17,complement(X_16))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_16,join(X_17,complement(X_16))),top) ),[0],$fot(join(top,X_17))]]) ).
cnf(refute_0_539,plain,
( join(X_16,join(X_17,complement(X_16))) != join(top,X_17)
| join(X_16,join(X_17,complement(X_16))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_17),top) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
join(X_16,join(X_17,complement(X_16))) = top,
inference(resolve,[$cnf( $equal(join(X_16,join(X_17,complement(X_16))),join(top,X_17)) )],[refute_0_134,refute_0_539]) ).
cnf(refute_0_541,plain,
join(complement(X_93),join(X_17,complement(complement(X_93)))) = top,
inference(subst,[],[refute_0_540:[bind(X_16,$fot(complement(X_93)))]]) ).
cnf(refute_0_542,plain,
( X_93 != join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(join(complement(X_93),join(X_17,complement(complement(X_93))))))
| join(complement(X_93),join(X_17,complement(complement(X_93)))) != top
| X_93 = join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(join(complement(X_93),join(X_17,complement(complement(X_93))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_543,plain,
( X_93 != join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(join(complement(X_93),join(X_17,complement(complement(X_93))))))
| X_93 = join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(X_17,complement(complement(X_93)))),top) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
X_93 = join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(join(complement(X_93),join(X_17,complement(complement(X_93))))))) )],[refute_0_498,refute_0_543]) ).
cnf(refute_0_545,plain,
join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) = join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))))]]) ).
cnf(refute_0_546,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) != join(complement(top),meet(X_93,join(X_17,complement(complement(X_93)))))
| join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))),join(complement(top),meet(X_93,join(X_17,complement(complement(X_93)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_547,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))),join(complement(top),meet(X_93,join(X_17,complement(complement(X_93)))))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_547]) ).
cnf(refute_0_549,plain,
join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) = join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_93,join(X_17,complement(complement(X_93))))))]]) ).
cnf(refute_0_550,plain,
( join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) != join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))
| join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) != join(complement(top),meet(X_93,join(X_17,complement(complement(X_93)))))
| join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))))),bind(Z,$fot(join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))))]]) ).
cnf(refute_0_551,plain,
( join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))) != join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))
| join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)),join(complement(top),meet(X_93,join(X_17,complement(complement(X_93)))))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(X_17,complement(complement(X_93))))),join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))) )],[refute_0_548,refute_0_551]) ).
cnf(refute_0_553,plain,
( X_93 != join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top))
| join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)) != join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))
| X_93 = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))) ),[0],$fot(join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)))]]) ).
cnf(refute_0_554,plain,
( X_93 != join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top))
| X_93 = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top)),join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
X_93 = join(zero,meet(X_93,join(X_17,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_17,complement(complement(X_93)))),complement(top))) )],[refute_0_544,refute_0_554]) ).
cnf(refute_0_556,plain,
join(X_17,complement(complement(X_93))) = join(X_17,complement(complement(X_93))),
introduced(tautology,[refl,[$fot(join(X_17,complement(complement(X_93))))]]) ).
cnf(refute_0_557,plain,
( complement(complement(X_93)) != X_93
| join(X_17,complement(complement(X_93))) != join(X_17,complement(complement(X_93)))
| join(X_17,complement(complement(X_93))) = join(X_17,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_17,complement(complement(X_93))),join(X_17,complement(complement(X_93)))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_558,plain,
( complement(complement(X_93)) != X_93
| join(X_17,complement(complement(X_93))) = join(X_17,X_93) ),
inference(resolve,[$cnf( $equal(join(X_17,complement(complement(X_93))),join(X_17,complement(complement(X_93)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
join(X_17,complement(complement(X_93))) = join(X_17,X_93),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_558]) ).
cnf(refute_0_560,plain,
meet(X_93,join(X_17,complement(complement(X_93)))) = meet(X_93,join(X_17,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(meet(X_93,join(X_17,complement(complement(X_93)))))]]) ).
cnf(refute_0_561,plain,
( join(X_17,complement(complement(X_93))) != join(X_17,X_93)
| meet(X_93,join(X_17,complement(complement(X_93)))) != meet(X_93,join(X_17,complement(complement(X_93))))
| meet(X_93,join(X_17,complement(complement(X_93)))) = meet(X_93,join(X_17,X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,join(X_17,complement(complement(X_93)))),meet(X_93,join(X_17,complement(complement(X_93))))) ),[1,1],$fot(join(X_17,X_93))]]) ).
cnf(refute_0_562,plain,
( join(X_17,complement(complement(X_93))) != join(X_17,X_93)
| meet(X_93,join(X_17,complement(complement(X_93)))) = meet(X_93,join(X_17,X_93)) ),
inference(resolve,[$cnf( $equal(meet(X_93,join(X_17,complement(complement(X_93)))),meet(X_93,join(X_17,complement(complement(X_93))))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
meet(X_93,join(X_17,complement(complement(X_93)))) = meet(X_93,join(X_17,X_93)),
inference(resolve,[$cnf( $equal(join(X_17,complement(complement(X_93))),join(X_17,X_93)) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) = meet(X_93,join(X_17,complement(complement(X_93)))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,join(X_17,complement(complement(X_93))))))]]) ).
cnf(refute_0_565,plain,
( join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) != meet(X_93,join(X_17,complement(complement(X_93))))
| meet(X_93,join(X_17,complement(complement(X_93)))) != meet(X_93,join(X_17,X_93))
| join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) = meet(X_93,join(X_17,X_93)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(X_93,join(X_17,complement(complement(X_93))))))),bind(Y,$fot(meet(X_93,join(X_17,complement(complement(X_93)))))),bind(Z,$fot(meet(X_93,join(X_17,X_93))))]]) ).
cnf(refute_0_566,plain,
( meet(X_93,join(X_17,complement(complement(X_93)))) != meet(X_93,join(X_17,X_93))
| join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) = meet(X_93,join(X_17,X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(X_17,complement(complement(X_93))))),meet(X_93,join(X_17,complement(complement(X_93))))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) = meet(X_93,join(X_17,X_93)),
inference(resolve,[$cnf( $equal(meet(X_93,join(X_17,complement(complement(X_93)))),meet(X_93,join(X_17,X_93))) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( X_93 != join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))
| join(zero,meet(X_93,join(X_17,complement(complement(X_93))))) != meet(X_93,join(X_17,X_93))
| X_93 = meet(X_93,join(X_17,X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,join(X_17,X_93))) ),[0],$fot(join(zero,meet(X_93,join(X_17,complement(complement(X_93))))))]]) ).
cnf(refute_0_569,plain,
( X_93 != join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))
| X_93 = meet(X_93,join(X_17,X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(X_17,complement(complement(X_93))))),meet(X_93,join(X_17,X_93))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
X_93 = meet(X_93,join(X_17,X_93)),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,join(X_17,complement(complement(X_93)))))) )],[refute_0_555,refute_0_569]) ).
cnf(refute_0_571,plain,
complement(join(complement(A),B)) = meet(complement(join(complement(A),B)),join(meet(A,B),complement(join(complement(A),B)))),
inference(subst,[],[refute_0_570:[bind(X_17,$fot(meet(A,B))),bind(X_93,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_572,plain,
( A != join(meet(A,B),complement(join(complement(A),B)))
| join(meet(A,B),complement(join(complement(A),B))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).
cnf(refute_0_573,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(resolve,[$cnf( $equal(A,join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_23,refute_0_572]) ).
cnf(refute_0_574,plain,
( complement(join(complement(A),B)) != meet(complement(join(complement(A),B)),join(meet(A,B),complement(join(complement(A),B))))
| join(meet(A,B),complement(join(complement(A),B))) != A
| complement(join(complement(A),B)) = meet(complement(join(complement(A),B)),A) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),B)),meet(complement(join(complement(A),B)),join(meet(A,B),complement(join(complement(A),B))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_575,plain,
( complement(join(complement(A),B)) != meet(complement(join(complement(A),B)),join(meet(A,B),complement(join(complement(A),B))))
| complement(join(complement(A),B)) = meet(complement(join(complement(A),B)),A) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),B))),A) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
complement(join(complement(A),B)) = meet(complement(join(complement(A),B)),A),
inference(resolve,[$cnf( $equal(complement(join(complement(A),B)),meet(complement(join(complement(A),B)),join(meet(A,B),complement(join(complement(A),B))))) )],[refute_0_571,refute_0_575]) ).
cnf(refute_0_577,plain,
meet(complement(join(complement(A),B)),A) = meet(A,complement(join(complement(A),B))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(A)),bind(X_35,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_578,plain,
( complement(join(complement(A),B)) != meet(complement(join(complement(A),B)),A)
| meet(complement(join(complement(A),B)),A) != meet(A,complement(join(complement(A),B)))
| complement(join(complement(A),B)) = meet(A,complement(join(complement(A),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(complement(A),B)),meet(A,complement(join(complement(A),B)))) ),[0],$fot(meet(complement(join(complement(A),B)),A))]]) ).
cnf(refute_0_579,plain,
( complement(join(complement(A),B)) != meet(complement(join(complement(A),B)),A)
| complement(join(complement(A),B)) = meet(A,complement(join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(A),B)),A),meet(A,complement(join(complement(A),B)))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
complement(join(complement(A),B)) = meet(A,complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(complement(join(complement(A),B)),meet(complement(join(complement(A),B)),A)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
complement(join(complement(X_378),join(X_7,A))) = meet(X_378,complement(join(complement(X_378),join(X_7,A)))),
inference(subst,[],[refute_0_580:[bind(A,$fot(X_378)),bind(B,$fot(join(X_7,A)))]]) ).
cnf(refute_0_582,plain,
join(A,join(complement(X_378),X_7)) = join(complement(X_378),join(X_7,A)),
inference(subst,[],[refute_0_382:[bind(X_6,$fot(complement(X_378)))]]) ).
cnf(refute_0_583,plain,
( join(A,join(complement(X_378),X_7)) != join(complement(X_378),join(X_7,A))
| join(complement(X_378),join(X_7,A)) = join(A,join(complement(X_378),X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(complement(X_378),X_7)))),bind(Y,$fot(join(complement(X_378),join(X_7,A))))]]) ).
cnf(refute_0_584,plain,
join(complement(X_378),join(X_7,A)) = join(A,join(complement(X_378),X_7)),
inference(resolve,[$cnf( $equal(join(A,join(complement(X_378),X_7)),join(complement(X_378),join(X_7,A))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
( complement(join(complement(X_378),join(X_7,A))) != meet(X_378,complement(join(complement(X_378),join(X_7,A))))
| join(complement(X_378),join(X_7,A)) != join(A,join(complement(X_378),X_7))
| complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(complement(X_378),join(X_7,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_378),join(X_7,A))),meet(X_378,complement(join(complement(X_378),join(X_7,A))))) ),[0,0],$fot(join(A,join(complement(X_378),X_7)))]]) ).
cnf(refute_0_586,plain,
( complement(join(complement(X_378),join(X_7,A))) != meet(X_378,complement(join(complement(X_378),join(X_7,A))))
| complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(complement(X_378),join(X_7,A)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_378),join(X_7,A)),join(A,join(complement(X_378),X_7))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(complement(X_378),join(X_7,A)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),join(X_7,A))),meet(X_378,complement(join(complement(X_378),join(X_7,A))))) )],[refute_0_581,refute_0_586]) ).
cnf(refute_0_588,plain,
( complement(join(complement(A),B)) != meet(A,complement(join(complement(A),B)))
| meet(A,complement(join(complement(A),B))) = complement(join(complement(A),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(complement(A),B)))),bind(Y,$fot(meet(A,complement(join(complement(A),B)))))]]) ).
cnf(refute_0_589,plain,
meet(A,complement(join(complement(A),B))) = complement(join(complement(A),B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),B)),meet(A,complement(join(complement(A),B)))) )],[refute_0_580,refute_0_588]) ).
cnf(refute_0_590,plain,
meet(X_378,complement(join(complement(X_378),join(X_7,A)))) = complement(join(complement(X_378),join(X_7,A))),
inference(subst,[],[refute_0_589:[bind(A,$fot(X_378)),bind(B,$fot(join(X_7,A)))]]) ).
cnf(refute_0_591,plain,
( complement(join(A,join(complement(X_378),X_7))) != meet(X_378,complement(join(complement(X_378),join(X_7,A))))
| meet(X_378,complement(join(complement(X_378),join(X_7,A)))) != complement(join(complement(X_378),join(X_7,A)))
| complement(join(A,join(complement(X_378),X_7))) = complement(join(complement(X_378),join(X_7,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,join(complement(X_378),X_7))),complement(join(complement(X_378),join(X_7,A)))) ),[0],$fot(meet(X_378,complement(join(complement(X_378),join(X_7,A)))))]]) ).
cnf(refute_0_592,plain,
( complement(join(A,join(complement(X_378),X_7))) != meet(X_378,complement(join(complement(X_378),join(X_7,A))))
| complement(join(A,join(complement(X_378),X_7))) = complement(join(complement(X_378),join(X_7,A))) ),
inference(resolve,[$cnf( $equal(meet(X_378,complement(join(complement(X_378),join(X_7,A)))),complement(join(complement(X_378),join(X_7,A)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
complement(join(A,join(complement(X_378),X_7))) = complement(join(complement(X_378),join(X_7,A))),
inference(resolve,[$cnf( $equal(complement(join(A,join(complement(X_378),X_7))),meet(X_378,complement(join(complement(X_378),join(X_7,A))))) )],[refute_0_587,refute_0_592]) ).
cnf(refute_0_594,plain,
( meet(X_401,complement(X_403)) != complement(join(complement(X_401),X_403))
| complement(join(complement(X_401),X_403)) = meet(X_401,complement(X_403)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_401,complement(X_403)))),bind(Y,$fot(complement(join(complement(X_401),X_403))))]]) ).
cnf(refute_0_595,plain,
complement(join(complement(X_401),X_403)) = meet(X_401,complement(X_403)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(X_403)),complement(join(complement(X_401),X_403))) )],[refute_0_489,refute_0_594]) ).
cnf(refute_0_596,plain,
complement(join(complement(X_378),join(X_7,A))) = meet(X_378,complement(join(X_7,A))),
inference(subst,[],[refute_0_595:[bind(X_401,$fot(X_378)),bind(X_403,$fot(join(X_7,A)))]]) ).
cnf(refute_0_597,plain,
( complement(join(A,join(complement(X_378),X_7))) != complement(join(complement(X_378),join(X_7,A)))
| complement(join(complement(X_378),join(X_7,A))) != meet(X_378,complement(join(X_7,A)))
| complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(X_7,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,join(complement(X_378),X_7))),meet(X_378,complement(join(X_7,A)))) ),[0],$fot(complement(join(complement(X_378),join(X_7,A))))]]) ).
cnf(refute_0_598,plain,
( complement(join(A,join(complement(X_378),X_7))) != complement(join(complement(X_378),join(X_7,A)))
| complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(X_7,A))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),join(X_7,A))),meet(X_378,complement(join(X_7,A)))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
complement(join(A,join(complement(X_378),X_7))) = meet(X_378,complement(join(X_7,A))),
inference(resolve,[$cnf( $equal(complement(join(A,join(complement(X_378),X_7))),complement(join(complement(X_378),join(X_7,A)))) )],[refute_0_593,refute_0_598]) ).
cnf(refute_0_600,plain,
complement(join(X_6,join(complement(X_93),X_8))) = meet(X_93,complement(join(X_8,X_6))),
inference(subst,[],[refute_0_599:[bind(A,$fot(X_6)),bind(X_378,$fot(X_93)),bind(X_7,$fot(X_8))]]) ).
cnf(refute_0_601,plain,
join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) = join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))),
introduced(tautology,[refl,[$fot(join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))))]]) ).
cnf(refute_0_602,plain,
( complement(join(X_6,join(complement(X_93),X_8))) != meet(X_93,complement(join(X_8,X_6)))
| join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) != join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))
| join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))),join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))) ),[1,1],$fot(meet(X_93,complement(join(X_8,X_6))))]]) ).
cnf(refute_0_603,plain,
( complement(join(X_6,join(complement(X_93),X_8))) != meet(X_93,complement(join(X_8,X_6)))
| join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))),join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(complement(X_93),X_8))),meet(X_93,complement(join(X_8,X_6)))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
( X_93 != join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))
| join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))) != join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6))))
| X_93 = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6))))) ),[0],$fot(join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))))]]) ).
cnf(refute_0_606,plain,
( X_93 != join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))
| X_93 = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8)))),join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
X_93 = join(meet(X_93,join(X_6,X_8)),meet(X_93,complement(join(X_8,X_6)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_6,X_8)),complement(join(X_6,join(complement(X_93),X_8))))) )],[refute_0_497,refute_0_606]) ).
cnf(refute_0_608,plain,
complement(sk2) = join(meet(complement(sk2),join(complement(sk1),X_477)),meet(complement(sk2),complement(join(X_477,complement(sk1))))),
inference(subst,[],[refute_0_607:[bind(X_6,$fot(complement(sk1))),bind(X_8,$fot(X_477)),bind(X_93,$fot(complement(sk2)))]]) ).
cnf(refute_0_609,plain,
complement(X_93) = join(meet(X_128,complement(X_93)),complement(join(complement(complement(X_93)),X_128))),
inference(subst,[],[refute_0_255:[bind(X_93,$fot(complement(X_93))),bind(X_94,$fot(X_128))]]) ).
cnf(refute_0_610,plain,
( complement(X_93) != join(meet(X_128,complement(X_93)),complement(join(complement(complement(X_93)),X_128)))
| complement(complement(X_93)) != X_93
| complement(X_93) = join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_93),join(meet(X_128,complement(X_93)),complement(join(complement(complement(X_93)),X_128)))) ),[1,1,0,0],$fot(X_93)]]) ).
cnf(refute_0_611,plain,
( complement(X_93) != join(meet(X_128,complement(X_93)),complement(join(complement(complement(X_93)),X_128)))
| complement(X_93) = join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_610]) ).
cnf(refute_0_612,plain,
complement(X_93) = join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))),
inference(resolve,[$cnf( $equal(complement(X_93),join(meet(X_128,complement(X_93)),complement(join(complement(complement(X_93)),X_128)))) )],[refute_0_609,refute_0_611]) ).
cnf(refute_0_613,plain,
join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))) = join(complement(join(X_93,X_128)),meet(X_128,complement(X_93))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(X_93,X_128)))),bind(B,$fot(meet(X_128,complement(X_93))))]]) ).
cnf(refute_0_614,plain,
( complement(X_93) != join(meet(X_128,complement(X_93)),complement(join(X_93,X_128)))
| join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))) != join(complement(join(X_93,X_128)),meet(X_128,complement(X_93)))
| complement(X_93) = join(complement(join(X_93,X_128)),meet(X_128,complement(X_93))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_93),join(complement(join(X_93,X_128)),meet(X_128,complement(X_93)))) ),[0],$fot(join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))))]]) ).
cnf(refute_0_615,plain,
( complement(X_93) != join(meet(X_128,complement(X_93)),complement(join(X_93,X_128)))
| complement(X_93) = join(complement(join(X_93,X_128)),meet(X_128,complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_128,complement(X_93)),complement(join(X_93,X_128))),join(complement(join(X_93,X_128)),meet(X_128,complement(X_93)))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
complement(X_93) = join(complement(join(X_93,X_128)),meet(X_128,complement(X_93))),
inference(resolve,[$cnf( $equal(complement(X_93),join(meet(X_128,complement(X_93)),complement(join(X_93,X_128)))) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
complement(sk2) = join(complement(join(sk2,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk2))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(join(complement(sk1),C))),bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_618,plain,
join(sk2,join(complement(sk1),C)) = join(join(sk2,complement(sk1)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk2)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_619,plain,
join(sk1,join(complement(sk1),sk2)) = join(top,sk2),
inference(subst,[],[refute_0_108:[bind(X_6,$fot(sk1)),bind(X_8,$fot(sk2))]]) ).
cnf(refute_0_620,plain,
join(sk1,join(sk2,X_13)) = join(sk2,X_13),
inference(subst,[],[refute_0_503:[bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_621,plain,
join(X_13,sk2) = join(sk2,X_13),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_13)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_622,plain,
( join(X_13,sk2) != join(sk2,X_13)
| join(sk2,X_13) = join(X_13,sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_13,sk2))),bind(Y,$fot(join(sk2,X_13)))]]) ).
cnf(refute_0_623,plain,
join(sk2,X_13) = join(X_13,sk2),
inference(resolve,[$cnf( $equal(join(X_13,sk2),join(sk2,X_13)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
( join(sk1,join(sk2,X_13)) != join(sk2,X_13)
| join(sk2,X_13) != join(X_13,sk2)
| join(sk1,join(X_13,sk2)) = join(sk2,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,X_13)),join(sk2,X_13)) ),[0,1],$fot(join(X_13,sk2))]]) ).
cnf(refute_0_625,plain,
( join(sk1,join(sk2,X_13)) != join(sk2,X_13)
| join(sk1,join(X_13,sk2)) = join(sk2,X_13) ),
inference(resolve,[$cnf( $equal(join(sk2,X_13),join(X_13,sk2)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
join(sk1,join(X_13,sk2)) = join(sk2,X_13),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,X_13)),join(sk2,X_13)) )],[refute_0_620,refute_0_625]) ).
cnf(refute_0_627,plain,
join(sk1,join(complement(sk1),sk2)) = join(sk2,complement(sk1)),
inference(subst,[],[refute_0_626:[bind(X_13,$fot(complement(sk1)))]]) ).
cnf(refute_0_628,plain,
( join(sk1,join(complement(sk1),sk2)) != join(sk2,complement(sk1))
| join(sk1,join(complement(sk1),sk2)) != join(top,sk2)
| join(sk2,complement(sk1)) = join(top,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(sk1),sk2)),join(top,sk2)) ),[0],$fot(join(sk2,complement(sk1)))]]) ).
cnf(refute_0_629,plain,
( join(sk1,join(complement(sk1),sk2)) != join(top,sk2)
| join(sk2,complement(sk1)) = join(top,sk2) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk1),sk2)),join(sk2,complement(sk1))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
join(sk2,complement(sk1)) = join(top,sk2),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk1),sk2)),join(top,sk2)) )],[refute_0_619,refute_0_629]) ).
cnf(refute_0_631,plain,
join(top,sk2) = join(sk2,top),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk2)),bind(B,$fot(top))]]) ).
cnf(refute_0_632,plain,
( join(sk2,complement(sk1)) != join(top,sk2)
| join(top,sk2) != join(sk2,top)
| join(sk2,complement(sk1)) = join(sk2,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk2,complement(sk1)),join(sk2,top)) ),[0],$fot(join(top,sk2))]]) ).
cnf(refute_0_633,plain,
( join(sk2,complement(sk1)) != join(top,sk2)
| join(sk2,complement(sk1)) = join(sk2,top) ),
inference(resolve,[$cnf( $equal(join(top,sk2),join(sk2,top)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
join(sk2,complement(sk1)) = join(sk2,top),
inference(resolve,[$cnf( $equal(join(sk2,complement(sk1)),join(top,sk2)) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
( join(sk2,complement(sk1)) != join(sk2,top)
| join(sk2,join(complement(sk1),C)) != join(join(sk2,complement(sk1)),C)
| join(sk2,join(complement(sk1),C)) = join(join(sk2,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(complement(sk1),C)),join(join(sk2,complement(sk1)),C)) ),[1,0],$fot(join(sk2,top))]]) ).
cnf(refute_0_636,plain,
( join(sk2,join(complement(sk1),C)) != join(join(sk2,complement(sk1)),C)
| join(sk2,join(complement(sk1),C)) = join(join(sk2,top),C) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(sk1)),join(sk2,top)) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
join(sk2,join(complement(sk1),C)) = join(join(sk2,top),C),
inference(resolve,[$cnf( $equal(join(sk2,join(complement(sk1),C)),join(join(sk2,complement(sk1)),C)) )],[refute_0_618,refute_0_636]) ).
cnf(refute_0_638,plain,
join(join(sk2,top),C) = join(sk2,join(top,C)),
inference(subst,[],[refute_0_272:[bind(A,$fot(sk2)),bind(B,$fot(top))]]) ).
cnf(refute_0_639,plain,
( join(join(sk2,top),C) != join(sk2,join(top,C))
| join(sk2,join(complement(sk1),C)) != join(join(sk2,top),C)
| join(sk2,join(complement(sk1),C)) = join(sk2,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(complement(sk1),C)),join(join(sk2,top),C)) ),[1],$fot(join(sk2,join(top,C)))]]) ).
cnf(refute_0_640,plain,
( join(sk2,join(complement(sk1),C)) != join(join(sk2,top),C)
| join(sk2,join(complement(sk1),C)) = join(sk2,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(sk2,top),C),join(sk2,join(top,C))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
join(sk2,join(complement(sk1),C)) = join(sk2,join(top,C)),
inference(resolve,[$cnf( $equal(join(sk2,join(complement(sk1),C)),join(join(sk2,top),C)) )],[refute_0_637,refute_0_640]) ).
cnf(refute_0_642,plain,
join(sk2,top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(sk2))]]) ).
cnf(refute_0_643,plain,
join(top,C) = top,
inference(subst,[],[refute_0_536:[bind(X_44,$fot(C))]]) ).
cnf(refute_0_644,plain,
join(sk2,join(top,C)) = join(sk2,join(top,C)),
introduced(tautology,[refl,[$fot(join(sk2,join(top,C)))]]) ).
cnf(refute_0_645,plain,
( join(sk2,join(top,C)) != join(sk2,join(top,C))
| join(top,C) != top
| join(sk2,join(top,C)) = join(sk2,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,join(top,C)),join(sk2,join(top,C))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_646,plain,
( join(top,C) != top
| join(sk2,join(top,C)) = join(sk2,top) ),
inference(resolve,[$cnf( $equal(join(sk2,join(top,C)),join(sk2,join(top,C))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
join(sk2,join(top,C)) = join(sk2,top),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( join(sk2,join(top,C)) != join(sk2,top)
| join(sk2,top) != top
| join(sk2,join(top,C)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk2,join(top,C)))),bind(Y,$fot(join(sk2,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_649,plain,
( join(sk2,top) != top
| join(sk2,join(top,C)) = top ),
inference(resolve,[$cnf( $equal(join(sk2,join(top,C)),join(sk2,top)) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
join(sk2,join(top,C)) = top,
inference(resolve,[$cnf( $equal(join(sk2,top),top) )],[refute_0_642,refute_0_649]) ).
cnf(refute_0_651,plain,
( join(sk2,join(complement(sk1),C)) != join(sk2,join(top,C))
| join(sk2,join(top,C)) != top
| join(sk2,join(complement(sk1),C)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk2,join(complement(sk1),C)),top) ),[0],$fot(join(sk2,join(top,C)))]]) ).
cnf(refute_0_652,plain,
( join(sk2,join(complement(sk1),C)) != join(sk2,join(top,C))
| join(sk2,join(complement(sk1),C)) = top ),
inference(resolve,[$cnf( $equal(join(sk2,join(top,C)),top) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
join(sk2,join(complement(sk1),C)) = top,
inference(resolve,[$cnf( $equal(join(sk2,join(complement(sk1),C)),join(sk2,join(top,C))) )],[refute_0_641,refute_0_652]) ).
cnf(refute_0_654,plain,
( complement(sk2) != join(complement(join(sk2,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk2)))
| join(sk2,join(complement(sk1),C)) != top
| complement(sk2) = join(complement(top),meet(join(complement(sk1),C),complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk2),join(complement(join(sk2,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk2)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_655,plain,
( complement(sk2) != join(complement(join(sk2,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk2)))
| complement(sk2) = join(complement(top),meet(join(complement(sk1),C),complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(sk2,join(complement(sk1),C)),top) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
complement(sk2) = join(complement(top),meet(join(complement(sk1),C),complement(sk2))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(join(sk2,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk2)))) )],[refute_0_617,refute_0_655]) ).
cnf(refute_0_657,plain,
join(zero,meet(complement(sk2),join(complement(sk1),C))) = meet(complement(sk2),join(complement(sk1),C)),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(complement(sk2),join(complement(sk1),C))))]]) ).
cnf(refute_0_658,plain,
meet(join(complement(sk1),C),complement(sk2)) = meet(complement(sk2),join(complement(sk1),C)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk2))),bind(X_35,$fot(join(complement(sk1),C)))]]) ).
cnf(refute_0_659,plain,
join(zero,meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(join(complement(sk1),C),complement(sk2))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(sk1),C),complement(sk2))))]]) ).
cnf(refute_0_660,plain,
( join(zero,meet(join(complement(sk1),C),complement(sk2))) != join(zero,meet(join(complement(sk1),C),complement(sk2)))
| meet(join(complement(sk1),C),complement(sk2)) != meet(complement(sk2),join(complement(sk1),C))
| join(zero,meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk2))),join(zero,meet(join(complement(sk1),C),complement(sk2)))) ),[1,1],$fot(meet(complement(sk2),join(complement(sk1),C)))]]) ).
cnf(refute_0_661,plain,
( meet(join(complement(sk1),C),complement(sk2)) != meet(complement(sk2),join(complement(sk1),C))
| join(zero,meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk2))),join(zero,meet(join(complement(sk1),C),complement(sk2)))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
join(zero,meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk2)),meet(complement(sk2),join(complement(sk1),C))) )],[refute_0_658,refute_0_661]) ).
cnf(refute_0_663,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(complement(top),meet(join(complement(sk1),C),complement(sk2))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk2))))]]) ).
cnf(refute_0_664,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) != join(complement(top),meet(join(complement(sk1),C),complement(sk2)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(join(complement(sk1),C),complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk2))),join(complement(top),meet(join(complement(sk1),C),complement(sk2)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_665,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(join(complement(sk1),C),complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk2))),join(complement(top),meet(join(complement(sk1),C),complement(sk2)))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(join(complement(sk1),C),complement(sk2))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_665]) ).
cnf(refute_0_667,plain,
( join(complement(top),meet(join(complement(sk1),C),complement(sk2))) != join(zero,meet(join(complement(sk1),C),complement(sk2)))
| join(zero,meet(join(complement(sk1),C),complement(sk2))) != join(zero,meet(complement(sk2),join(complement(sk1),C)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk2))))),bind(Y,$fot(join(zero,meet(join(complement(sk1),C),complement(sk2))))),bind(Z,$fot(join(zero,meet(complement(sk2),join(complement(sk1),C)))))]]) ).
cnf(refute_0_668,plain,
( join(zero,meet(join(complement(sk1),C),complement(sk2))) != join(zero,meet(complement(sk2),join(complement(sk1),C)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk2))),join(zero,meet(join(complement(sk1),C),complement(sk2)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = join(zero,meet(complement(sk2),join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk2))),join(zero,meet(complement(sk2),join(complement(sk1),C)))) )],[refute_0_662,refute_0_668]) ).
cnf(refute_0_670,plain,
( join(complement(top),meet(join(complement(sk1),C),complement(sk2))) != join(zero,meet(complement(sk2),join(complement(sk1),C)))
| join(zero,meet(complement(sk2),join(complement(sk1),C))) != meet(complement(sk2),join(complement(sk1),C))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = meet(complement(sk2),join(complement(sk1),C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk2))))),bind(Y,$fot(join(zero,meet(complement(sk2),join(complement(sk1),C))))),bind(Z,$fot(meet(complement(sk2),join(complement(sk1),C))))]]) ).
cnf(refute_0_671,plain,
( join(zero,meet(complement(sk2),join(complement(sk1),C))) != meet(complement(sk2),join(complement(sk1),C))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = meet(complement(sk2),join(complement(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk2))),join(zero,meet(complement(sk2),join(complement(sk1),C)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk2))) = meet(complement(sk2),join(complement(sk1),C)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk2),join(complement(sk1),C))),meet(complement(sk2),join(complement(sk1),C))) )],[refute_0_657,refute_0_671]) ).
cnf(refute_0_673,plain,
( complement(sk2) != join(complement(top),meet(join(complement(sk1),C),complement(sk2)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk2))) != meet(complement(sk2),join(complement(sk1),C))
| complement(sk2) = meet(complement(sk2),join(complement(sk1),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),meet(complement(sk2),join(complement(sk1),C))) ),[0],$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk2))))]]) ).
cnf(refute_0_674,plain,
( complement(sk2) != join(complement(top),meet(join(complement(sk1),C),complement(sk2)))
| complement(sk2) = meet(complement(sk2),join(complement(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk2))),meet(complement(sk2),join(complement(sk1),C))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
complement(sk2) = meet(complement(sk2),join(complement(sk1),C)),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(top),meet(join(complement(sk1),C),complement(sk2)))) )],[refute_0_656,refute_0_674]) ).
cnf(refute_0_676,plain,
complement(sk2) = meet(complement(sk2),join(complement(sk1),X_477)),
inference(subst,[],[refute_0_675:[bind(C,$fot(X_477))]]) ).
cnf(refute_0_677,plain,
( complement(sk2) != meet(complement(sk2),join(complement(sk1),X_477))
| meet(complement(sk2),join(complement(sk1),X_477)) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(meet(complement(sk2),join(complement(sk1),X_477))))]]) ).
cnf(refute_0_678,plain,
meet(complement(sk2),join(complement(sk1),X_477)) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),meet(complement(sk2),join(complement(sk1),X_477))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( complement(sk2) != join(meet(complement(sk2),join(complement(sk1),X_477)),meet(complement(sk2),complement(join(X_477,complement(sk1)))))
| meet(complement(sk2),join(complement(sk1),X_477)) != complement(sk2)
| complement(sk2) = join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk2),join(meet(complement(sk2),join(complement(sk1),X_477)),meet(complement(sk2),complement(join(X_477,complement(sk1)))))) ),[1,0],$fot(complement(sk2))]]) ).
cnf(refute_0_680,plain,
( complement(sk2) != join(meet(complement(sk2),join(complement(sk1),X_477)),meet(complement(sk2),complement(join(X_477,complement(sk1)))))
| complement(sk2) = join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),X_477)),complement(sk2)) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
complement(sk2) = join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(sk2),join(meet(complement(sk2),join(complement(sk1),X_477)),meet(complement(sk2),complement(join(X_477,complement(sk1)))))) )],[refute_0_608,refute_0_680]) ).
cnf(refute_0_682,plain,
complement(join(complement(X_378),join(X_6,X_7))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))),
inference(subst,[],[refute_0_580:[bind(A,$fot(X_378)),bind(B,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_683,plain,
join(complement(X_378),join(X_6,X_7)) = join(X_6,join(X_7,complement(X_378))),
inference(subst,[],[refute_0_382:[bind(A,$fot(complement(X_378)))]]) ).
cnf(refute_0_684,plain,
( complement(join(complement(X_378),join(X_6,X_7))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))
| join(complement(X_378),join(X_6,X_7)) != join(X_6,join(X_7,complement(X_378)))
| complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_378),join(X_6,X_7))),meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))) ),[0,0],$fot(join(X_6,join(X_7,complement(X_378))))]]) ).
cnf(refute_0_685,plain,
( complement(join(complement(X_378),join(X_6,X_7))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))
| complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_378),join(X_6,X_7)),join(X_6,join(X_7,complement(X_378)))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),join(X_6,X_7))),meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))) = complement(join(complement(X_378),join(X_6,X_7))),
inference(subst,[],[refute_0_589:[bind(A,$fot(X_378)),bind(B,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_688,plain,
( complement(join(X_6,join(X_7,complement(X_378)))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))
| meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))) != complement(join(complement(X_378),join(X_6,X_7)))
| complement(join(X_6,join(X_7,complement(X_378)))) = complement(join(complement(X_378),join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_6,join(X_7,complement(X_378)))),complement(join(complement(X_378),join(X_6,X_7)))) ),[0],$fot(meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))))]]) ).
cnf(refute_0_689,plain,
( complement(join(X_6,join(X_7,complement(X_378)))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))
| complement(join(X_6,join(X_7,complement(X_378)))) = complement(join(complement(X_378),join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(X_378,complement(join(complement(X_378),join(X_6,X_7)))),complement(join(complement(X_378),join(X_6,X_7)))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
complement(join(X_6,join(X_7,complement(X_378)))) = complement(join(complement(X_378),join(X_6,X_7))),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(X_7,complement(X_378)))),meet(X_378,complement(join(complement(X_378),join(X_6,X_7))))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
complement(join(complement(X_378),join(X_6,X_7))) = meet(X_378,complement(join(X_6,X_7))),
inference(subst,[],[refute_0_595:[bind(X_401,$fot(X_378)),bind(X_403,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_692,plain,
( complement(join(X_6,join(X_7,complement(X_378)))) != complement(join(complement(X_378),join(X_6,X_7)))
| complement(join(complement(X_378),join(X_6,X_7))) != meet(X_378,complement(join(X_6,X_7)))
| complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_6,join(X_7,complement(X_378)))),meet(X_378,complement(join(X_6,X_7)))) ),[0],$fot(complement(join(complement(X_378),join(X_6,X_7))))]]) ).
cnf(refute_0_693,plain,
( complement(join(X_6,join(X_7,complement(X_378)))) != complement(join(complement(X_378),join(X_6,X_7)))
| complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),join(X_6,X_7))),meet(X_378,complement(join(X_6,X_7)))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
complement(join(X_6,join(X_7,complement(X_378)))) = meet(X_378,complement(join(X_6,X_7))),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(X_7,complement(X_378)))),complement(join(complement(X_378),join(X_6,X_7)))) )],[refute_0_690,refute_0_693]) ).
cnf(refute_0_695,plain,
complement(join(sk2,join(X_477,complement(sk1)))) = meet(sk1,complement(join(sk2,X_477))),
inference(subst,[],[refute_0_694:[bind(X_378,$fot(sk1)),bind(X_6,$fot(sk2)),bind(X_7,$fot(X_477))]]) ).
cnf(refute_0_696,plain,
meet(complement(X_93),complement(X_412)) = complement(join(complement(complement(X_93)),X_412)),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(complement(X_93))),bind(X_403,$fot(X_412))]]) ).
cnf(refute_0_697,plain,
( complement(complement(X_93)) != X_93
| meet(complement(X_93),complement(X_412)) != complement(join(complement(complement(X_93)),X_412))
| meet(complement(X_93),complement(X_412)) = complement(join(X_93,X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_93),complement(X_412)),complement(join(complement(complement(X_93)),X_412))) ),[1,0,0],$fot(X_93)]]) ).
cnf(refute_0_698,plain,
( meet(complement(X_93),complement(X_412)) != complement(join(complement(complement(X_93)),X_412))
| meet(complement(X_93),complement(X_412)) = complement(join(X_93,X_412)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_697]) ).
cnf(refute_0_699,plain,
meet(complement(X_93),complement(X_412)) = complement(join(X_93,X_412)),
inference(resolve,[$cnf( $equal(meet(complement(X_93),complement(X_412)),complement(join(complement(complement(X_93)),X_412))) )],[refute_0_696,refute_0_698]) ).
cnf(refute_0_700,plain,
meet(complement(sk2),complement(join(X_477,complement(sk1)))) = complement(join(sk2,join(X_477,complement(sk1)))),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(join(X_477,complement(sk1)))),bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_701,plain,
( complement(join(sk2,join(X_477,complement(sk1)))) != meet(sk1,complement(join(sk2,X_477)))
| meet(complement(sk2),complement(join(X_477,complement(sk1)))) != complement(join(sk2,join(X_477,complement(sk1))))
| meet(complement(sk2),complement(join(X_477,complement(sk1)))) = meet(sk1,complement(join(sk2,X_477))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk2),complement(join(X_477,complement(sk1)))))),bind(Y,$fot(complement(join(sk2,join(X_477,complement(sk1)))))),bind(Z,$fot(meet(sk1,complement(join(sk2,X_477)))))]]) ).
cnf(refute_0_702,plain,
( complement(join(sk2,join(X_477,complement(sk1)))) != meet(sk1,complement(join(sk2,X_477)))
| meet(complement(sk2),complement(join(X_477,complement(sk1)))) = meet(sk1,complement(join(sk2,X_477))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),complement(join(X_477,complement(sk1)))),complement(join(sk2,join(X_477,complement(sk1))))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
meet(complement(sk2),complement(join(X_477,complement(sk1)))) = meet(sk1,complement(join(sk2,X_477))),
inference(resolve,[$cnf( $equal(complement(join(sk2,join(X_477,complement(sk1)))),meet(sk1,complement(join(sk2,X_477)))) )],[refute_0_695,refute_0_702]) ).
cnf(refute_0_704,plain,
join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) = join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))))]]) ).
cnf(refute_0_705,plain,
( join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) != join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))
| meet(complement(sk2),complement(join(X_477,complement(sk1)))) != meet(sk1,complement(join(sk2,X_477)))
| join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))),join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))) ),[1,1],$fot(meet(sk1,complement(join(sk2,X_477))))]]) ).
cnf(refute_0_706,plain,
( meet(complement(sk2),complement(join(X_477,complement(sk1)))) != meet(sk1,complement(join(sk2,X_477)))
| join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))),join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))),
inference(resolve,[$cnf( $equal(meet(complement(sk2),complement(join(X_477,complement(sk1)))),meet(sk1,complement(join(sk2,X_477)))) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
( complement(sk2) != join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))
| join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))) != join(complement(sk2),meet(sk1,complement(join(sk2,X_477))))
| complement(sk2) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),join(complement(sk2),meet(sk1,complement(join(sk2,X_477))))) ),[0],$fot(join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))))]]) ).
cnf(refute_0_709,plain,
( complement(sk2) != join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))
| complement(sk2) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1))))),join(complement(sk2),meet(sk1,complement(join(sk2,X_477))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
complement(sk2) = join(complement(sk2),meet(sk1,complement(join(sk2,X_477)))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(sk2),meet(complement(sk2),complement(join(X_477,complement(sk1)))))) )],[refute_0_681,refute_0_709]) ).
cnf(refute_0_711,plain,
complement(sk2) = join(complement(sk2),meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))),
inference(subst,[],[refute_0_710:[bind(X_477,$fot(complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_712,plain,
complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_441:[bind(X_140,$fot(sk2)),bind(X_141,$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_713,plain,
X_118 = meet(X_118,join(X_117,X_118)),
inference(subst,[],[refute_0_570:[bind(X_17,$fot(X_117)),bind(X_93,$fot(X_118))]]) ).
cnf(refute_0_714,plain,
join(X_118,X_117) = join(X_117,X_118),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_118)),bind(B,$fot(X_117))]]) ).
cnf(refute_0_715,plain,
( join(X_118,X_117) != join(X_117,X_118)
| join(X_117,X_118) = join(X_118,X_117) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_118,X_117))),bind(Y,$fot(join(X_117,X_118)))]]) ).
cnf(refute_0_716,plain,
join(X_117,X_118) = join(X_118,X_117),
inference(resolve,[$cnf( $equal(join(X_118,X_117),join(X_117,X_118)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
( X_118 != meet(X_118,join(X_117,X_118))
| join(X_117,X_118) != join(X_118,X_117)
| X_118 = meet(X_118,join(X_118,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(X_118,meet(X_118,join(X_117,X_118))) ),[1,1],$fot(join(X_118,X_117))]]) ).
cnf(refute_0_718,plain,
( X_118 != meet(X_118,join(X_117,X_118))
| X_118 = meet(X_118,join(X_118,X_117)) ),
inference(resolve,[$cnf( $equal(join(X_117,X_118),join(X_118,X_117)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
X_118 = meet(X_118,join(X_118,X_117)),
inference(resolve,[$cnf( $equal(X_118,meet(X_118,join(X_117,X_118))) )],[refute_0_713,refute_0_718]) ).
cnf(refute_0_720,plain,
meet(X_128,X_127) = meet(meet(X_128,X_127),join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(complement(join(complement(X_127),X_128)))),bind(X_118,$fot(meet(X_128,X_127)))]]) ).
cnf(refute_0_721,plain,
X_127 = join(meet(X_128,X_127),complement(join(complement(X_127),X_128))),
inference(subst,[],[refute_0_255:[bind(X_93,$fot(X_127)),bind(X_94,$fot(X_128))]]) ).
cnf(refute_0_722,plain,
( X_127 != join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))
| join(meet(X_128,X_127),complement(join(complement(X_127),X_128))) = X_127 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_127)),bind(Y,$fot(join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))))]]) ).
cnf(refute_0_723,plain,
join(meet(X_128,X_127),complement(join(complement(X_127),X_128))) = X_127,
inference(resolve,[$cnf( $equal(X_127,join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
( join(meet(X_128,X_127),complement(join(complement(X_127),X_128))) != X_127
| meet(X_128,X_127) != meet(meet(X_128,X_127),join(meet(X_128,X_127),complement(join(complement(X_127),X_128))))
| meet(X_128,X_127) = meet(meet(X_128,X_127),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_128,X_127),meet(meet(X_128,X_127),join(meet(X_128,X_127),complement(join(complement(X_127),X_128))))) ),[1,1],$fot(X_127)]]) ).
cnf(refute_0_725,plain,
( meet(X_128,X_127) != meet(meet(X_128,X_127),join(meet(X_128,X_127),complement(join(complement(X_127),X_128))))
| meet(X_128,X_127) = meet(meet(X_128,X_127),X_127) ),
inference(resolve,[$cnf( $equal(join(meet(X_128,X_127),complement(join(complement(X_127),X_128))),X_127) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
meet(X_128,X_127) = meet(meet(X_128,X_127),X_127),
inference(resolve,[$cnf( $equal(meet(X_128,X_127),meet(meet(X_128,X_127),join(meet(X_128,X_127),complement(join(complement(X_127),X_128))))) )],[refute_0_720,refute_0_725]) ).
cnf(refute_0_727,plain,
meet(meet(X_128,X_127),X_127) = meet(X_127,meet(X_128,X_127)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(X_127)),bind(X_35,$fot(meet(X_128,X_127)))]]) ).
cnf(refute_0_728,plain,
( meet(X_128,X_127) != meet(meet(X_128,X_127),X_127)
| meet(meet(X_128,X_127),X_127) != meet(X_127,meet(X_128,X_127))
| meet(X_128,X_127) = meet(X_127,meet(X_128,X_127)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_128,X_127),meet(X_127,meet(X_128,X_127))) ),[0],$fot(meet(meet(X_128,X_127),X_127))]]) ).
cnf(refute_0_729,plain,
( meet(X_128,X_127) != meet(meet(X_128,X_127),X_127)
| meet(X_128,X_127) = meet(X_127,meet(X_128,X_127)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_128,X_127),X_127),meet(X_127,meet(X_128,X_127))) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
meet(X_128,X_127) = meet(X_127,meet(X_128,X_127)),
inference(resolve,[$cnf( $equal(meet(X_128,X_127),meet(meet(X_128,X_127),X_127)) )],[refute_0_726,refute_0_729]) ).
cnf(refute_0_731,plain,
meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_730:[bind(X_127,$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),bind(X_128,$fot(join(sk2,sk3)))]]) ).
cnf(refute_0_732,plain,
complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_580:[bind(A,$fot(join(sk2,sk3))),bind(B,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_733,plain,
complement(sk2) = join(complement(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(converse(meet(converse(sk3),complement(converse(sk1)))))),bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_734,plain,
join(sk1,join(join(A,B),sk2)) = join(sk2,join(A,B)),
inference(subst,[],[refute_0_626:[bind(X_13,$fot(join(A,B)))]]) ).
cnf(refute_0_735,plain,
join(A,join(B,sk2)) = join(join(A,B),sk2),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(sk2))]]) ).
cnf(refute_0_736,plain,
( join(A,join(B,sk2)) != join(join(A,B),sk2)
| join(join(A,B),sk2) = join(A,join(B,sk2)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,sk2)))),bind(Y,$fot(join(join(A,B),sk2)))]]) ).
cnf(refute_0_737,plain,
join(join(A,B),sk2) = join(A,join(B,sk2)),
inference(resolve,[$cnf( $equal(join(A,join(B,sk2)),join(join(A,B),sk2)) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
( join(join(A,B),sk2) != join(A,join(B,sk2))
| join(sk1,join(join(A,B),sk2)) != join(sk2,join(A,B))
| join(sk1,join(A,join(B,sk2))) = join(sk2,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(join(A,B),sk2)),join(sk2,join(A,B))) ),[0,1],$fot(join(A,join(B,sk2)))]]) ).
cnf(refute_0_739,plain,
( join(sk1,join(join(A,B),sk2)) != join(sk2,join(A,B))
| join(sk1,join(A,join(B,sk2))) = join(sk2,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(join(A,B),sk2),join(A,join(B,sk2))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
join(sk1,join(A,join(B,sk2))) = join(sk2,join(A,B)),
inference(resolve,[$cnf( $equal(join(sk1,join(join(A,B),sk2)),join(sk2,join(A,B))) )],[refute_0_734,refute_0_739]) ).
cnf(refute_0_741,plain,
join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(subst,[],[refute_0_740:[bind(A,$fot(sk1)),bind(B,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_742,plain,
join(converse(X_10),converse(X_9)) = join(converse(X_9),converse(X_10)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(X_10))),bind(B,$fot(converse(X_9)))]]) ).
cnf(refute_0_743,plain,
converse(join(X_9,X_10)) = join(converse(X_9),converse(X_10)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_9)),bind(B,$fot(X_10))]]) ).
cnf(refute_0_744,plain,
( converse(join(X_9,X_10)) != join(converse(X_9),converse(X_10))
| join(converse(X_9),converse(X_10)) = converse(join(X_9,X_10)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_9,X_10)))),bind(Y,$fot(join(converse(X_9),converse(X_10))))]]) ).
cnf(refute_0_745,plain,
join(converse(X_9),converse(X_10)) = converse(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(converse(join(X_9,X_10)),join(converse(X_9),converse(X_10))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( join(converse(X_10),converse(X_9)) != join(converse(X_9),converse(X_10))
| join(converse(X_9),converse(X_10)) != converse(join(X_9,X_10))
| join(converse(X_10),converse(X_9)) = converse(join(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(X_10),converse(X_9)),converse(join(X_9,X_10))) ),[0],$fot(join(converse(X_9),converse(X_10)))]]) ).
cnf(refute_0_747,plain,
( join(converse(X_10),converse(X_9)) != join(converse(X_9),converse(X_10))
| join(converse(X_10),converse(X_9)) = converse(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(join(converse(X_9),converse(X_10)),converse(join(X_9,X_10))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
join(converse(X_10),converse(X_9)) = converse(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(join(converse(X_10),converse(X_9)),join(converse(X_9),converse(X_10))) )],[refute_0_742,refute_0_747]) ).
cnf(refute_0_749,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_750,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_749]) ).
cnf(refute_0_751,plain,
join(converse(X_10),converse(X_9)) = converse(join(X_10,X_9)),
inference(subst,[],[refute_0_750:[bind(A,$fot(X_10)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_752,plain,
( join(converse(X_10),converse(X_9)) != converse(join(X_10,X_9))
| join(converse(X_10),converse(X_9)) != converse(join(X_9,X_10))
| converse(join(X_10,X_9)) = converse(join(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_10),converse(X_9)),converse(join(X_9,X_10))) ),[0],$fot(converse(join(X_10,X_9)))]]) ).
cnf(refute_0_753,plain,
( join(converse(X_10),converse(X_9)) != converse(join(X_9,X_10))
| converse(join(X_10,X_9)) = converse(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(join(converse(X_10),converse(X_9)),converse(join(X_10,X_9))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
converse(join(X_10,X_9)) = converse(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(join(converse(X_10),converse(X_9)),converse(join(X_9,X_10))) )],[refute_0_748,refute_0_753]) ).
cnf(refute_0_755,plain,
converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = converse(join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_754:[bind(X_10,$fot(meet(converse(sk3),complement(converse(sk1))))),bind(X_9,$fot(converse(sk1)))]]) ).
cnf(refute_0_756,plain,
converse(sk3) = join(meet(converse(sk1),converse(sk3)),meet(complement(converse(sk1)),converse(sk3))),
inference(subst,[],[refute_0_441:[bind(X_140,$fot(converse(sk1))),bind(X_141,$fot(converse(sk3)))]]) ).
cnf(refute_0_757,plain,
converse(sk1) = join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_395:[bind(X_93,$fot(converse(sk1))),bind(X_94,$fot(converse(sk3)))]]) ).
cnf(refute_0_758,plain,
converse(join(converse(complement(converse(sk1))),sk3)) = converse(join(sk3,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_754:[bind(X_10,$fot(converse(complement(converse(sk1))))),bind(X_9,$fot(sk3))]]) ).
cnf(refute_0_759,plain,
join(sk3,join(complement(sk1),C)) = join(join(sk3,complement(sk1)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk3)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_760,plain,
join(sk1,join(complement(sk1),sk3)) = join(top,sk3),
inference(subst,[],[refute_0_108:[bind(X_6,$fot(sk1)),bind(X_8,$fot(sk3))]]) ).
cnf(refute_0_761,plain,
join(sk1,join(sk3,X_8)) = join(join(sk1,sk3),X_8),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(X_8))]]) ).
cnf(refute_0_762,plain,
( join(sk1,join(sk3,X_8)) != join(join(sk1,sk3),X_8)
| join(sk1,sk3) != sk3
| join(sk1,join(sk3,X_8)) = join(sk3,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk3,X_8)),join(join(sk1,sk3),X_8)) ),[1,0],$fot(sk3)]]) ).
cnf(refute_0_763,plain,
( join(sk1,join(sk3,X_8)) != join(join(sk1,sk3),X_8)
| join(sk1,join(sk3,X_8)) = join(sk3,X_8) ),
inference(resolve,[$cnf( $equal(join(sk1,sk3),sk3) )],[goals_15,refute_0_762]) ).
cnf(refute_0_764,plain,
join(sk1,join(sk3,X_8)) = join(sk3,X_8),
inference(resolve,[$cnf( $equal(join(sk1,join(sk3,X_8)),join(join(sk1,sk3),X_8)) )],[refute_0_761,refute_0_763]) ).
cnf(refute_0_765,plain,
join(sk1,join(sk3,X_19)) = join(sk3,X_19),
inference(subst,[],[refute_0_764:[bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_766,plain,
join(X_19,sk3) = join(sk3,X_19),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_19)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_767,plain,
( join(X_19,sk3) != join(sk3,X_19)
| join(sk3,X_19) = join(X_19,sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_19,sk3))),bind(Y,$fot(join(sk3,X_19)))]]) ).
cnf(refute_0_768,plain,
join(sk3,X_19) = join(X_19,sk3),
inference(resolve,[$cnf( $equal(join(X_19,sk3),join(sk3,X_19)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
( join(sk1,join(sk3,X_19)) != join(sk3,X_19)
| join(sk3,X_19) != join(X_19,sk3)
| join(sk1,join(X_19,sk3)) = join(sk3,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk3,X_19)),join(sk3,X_19)) ),[0,1],$fot(join(X_19,sk3))]]) ).
cnf(refute_0_770,plain,
( join(sk1,join(sk3,X_19)) != join(sk3,X_19)
| join(sk1,join(X_19,sk3)) = join(sk3,X_19) ),
inference(resolve,[$cnf( $equal(join(sk3,X_19),join(X_19,sk3)) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
join(sk1,join(X_19,sk3)) = join(sk3,X_19),
inference(resolve,[$cnf( $equal(join(sk1,join(sk3,X_19)),join(sk3,X_19)) )],[refute_0_765,refute_0_770]) ).
cnf(refute_0_772,plain,
join(sk1,join(complement(sk1),sk3)) = join(sk3,complement(sk1)),
inference(subst,[],[refute_0_771:[bind(X_19,$fot(complement(sk1)))]]) ).
cnf(refute_0_773,plain,
( join(sk1,join(complement(sk1),sk3)) != join(sk3,complement(sk1))
| join(sk1,join(complement(sk1),sk3)) != join(top,sk3)
| join(sk3,complement(sk1)) = join(top,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(sk1),sk3)),join(top,sk3)) ),[0],$fot(join(sk3,complement(sk1)))]]) ).
cnf(refute_0_774,plain,
( join(sk1,join(complement(sk1),sk3)) != join(top,sk3)
| join(sk3,complement(sk1)) = join(top,sk3) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk1),sk3)),join(sk3,complement(sk1))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
join(sk3,complement(sk1)) = join(top,sk3),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk1),sk3)),join(top,sk3)) )],[refute_0_760,refute_0_774]) ).
cnf(refute_0_776,plain,
join(top,sk3) = join(sk3,top),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk3)),bind(B,$fot(top))]]) ).
cnf(refute_0_777,plain,
( join(sk3,complement(sk1)) != join(top,sk3)
| join(top,sk3) != join(sk3,top)
| join(sk3,complement(sk1)) = join(sk3,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk3,complement(sk1)),join(sk3,top)) ),[0],$fot(join(top,sk3))]]) ).
cnf(refute_0_778,plain,
( join(sk3,complement(sk1)) != join(top,sk3)
| join(sk3,complement(sk1)) = join(sk3,top) ),
inference(resolve,[$cnf( $equal(join(top,sk3),join(sk3,top)) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
join(sk3,complement(sk1)) = join(sk3,top),
inference(resolve,[$cnf( $equal(join(sk3,complement(sk1)),join(top,sk3)) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
( join(sk3,complement(sk1)) != join(sk3,top)
| join(sk3,join(complement(sk1),C)) != join(join(sk3,complement(sk1)),C)
| join(sk3,join(complement(sk1),C)) = join(join(sk3,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(complement(sk1),C)),join(join(sk3,complement(sk1)),C)) ),[1,0],$fot(join(sk3,top))]]) ).
cnf(refute_0_781,plain,
( join(sk3,join(complement(sk1),C)) != join(join(sk3,complement(sk1)),C)
| join(sk3,join(complement(sk1),C)) = join(join(sk3,top),C) ),
inference(resolve,[$cnf( $equal(join(sk3,complement(sk1)),join(sk3,top)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
join(sk3,join(complement(sk1),C)) = join(join(sk3,top),C),
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),C)),join(join(sk3,complement(sk1)),C)) )],[refute_0_759,refute_0_781]) ).
cnf(refute_0_783,plain,
join(join(sk3,top),C) = join(sk3,join(top,C)),
inference(subst,[],[refute_0_272:[bind(A,$fot(sk3)),bind(B,$fot(top))]]) ).
cnf(refute_0_784,plain,
( join(join(sk3,top),C) != join(sk3,join(top,C))
| join(sk3,join(complement(sk1),C)) != join(join(sk3,top),C)
| join(sk3,join(complement(sk1),C)) = join(sk3,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(complement(sk1),C)),join(join(sk3,top),C)) ),[1],$fot(join(sk3,join(top,C)))]]) ).
cnf(refute_0_785,plain,
( join(sk3,join(complement(sk1),C)) != join(join(sk3,top),C)
| join(sk3,join(complement(sk1),C)) = join(sk3,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(sk3,top),C),join(sk3,join(top,C))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
join(sk3,join(complement(sk1),C)) = join(sk3,join(top,C)),
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),C)),join(join(sk3,top),C)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
join(sk3,top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(sk3))]]) ).
cnf(refute_0_788,plain,
join(sk3,join(top,C)) = join(sk3,join(top,C)),
introduced(tautology,[refl,[$fot(join(sk3,join(top,C)))]]) ).
cnf(refute_0_789,plain,
( join(sk3,join(top,C)) != join(sk3,join(top,C))
| join(top,C) != top
| join(sk3,join(top,C)) = join(sk3,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(top,C)),join(sk3,join(top,C))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_790,plain,
( join(top,C) != top
| join(sk3,join(top,C)) = join(sk3,top) ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,C)),join(sk3,join(top,C))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
join(sk3,join(top,C)) = join(sk3,top),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_643,refute_0_790]) ).
cnf(refute_0_792,plain,
( join(sk3,join(top,C)) != join(sk3,top)
| join(sk3,top) != top
| join(sk3,join(top,C)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk3,join(top,C)))),bind(Y,$fot(join(sk3,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_793,plain,
( join(sk3,top) != top
| join(sk3,join(top,C)) = top ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,C)),join(sk3,top)) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
join(sk3,join(top,C)) = top,
inference(resolve,[$cnf( $equal(join(sk3,top),top) )],[refute_0_787,refute_0_793]) ).
cnf(refute_0_795,plain,
( join(sk3,join(complement(sk1),C)) != join(sk3,join(top,C))
| join(sk3,join(top,C)) != top
| join(sk3,join(complement(sk1),C)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk3,join(complement(sk1),C)),top) ),[0],$fot(join(sk3,join(top,C)))]]) ).
cnf(refute_0_796,plain,
( join(sk3,join(complement(sk1),C)) != join(sk3,join(top,C))
| join(sk3,join(complement(sk1),C)) = top ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,C)),top) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
join(sk3,join(complement(sk1),C)) = top,
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),C)),join(sk3,join(top,C))) )],[refute_0_786,refute_0_796]) ).
cnf(refute_0_798,plain,
join(sk3,join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))) = top,
inference(subst,[],[refute_0_797:[bind(C,$fot(meet(sk1,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_799,plain,
converse(complement(converse(complement(complement(X_140))))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140))))))),
inference(subst,[],[refute_0_434:[bind(X_114,$fot(X_140)),bind(X_115,$fot(converse(complement(converse(complement(complement(X_140)))))))]]) ).
cnf(refute_0_800,plain,
X_93 = join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(join(complement(X_93),converse(complement(converse(complement(X_93))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(converse(complement(converse(complement(X_93))))))]]) ).
cnf(refute_0_801,plain,
converse(join(converse(A),X_10)) = join(converse(converse(A)),converse(X_10)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_802,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_10)) != join(converse(converse(A)),converse(X_10))
| converse(join(converse(A),X_10)) = join(A,converse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_10)),join(converse(converse(A)),converse(X_10))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_803,plain,
( converse(join(converse(A),X_10)) != join(converse(converse(A)),converse(X_10))
| converse(join(converse(A),X_10)) = join(A,converse(X_10)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_802]) ).
cnf(refute_0_804,plain,
converse(join(converse(A),X_10)) = join(A,converse(X_10)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_10)),join(converse(converse(A)),converse(X_10))) )],[refute_0_801,refute_0_803]) ).
cnf(refute_0_805,plain,
converse(join(converse(X_53),complement(converse(X_53)))) = join(X_53,converse(complement(converse(X_53)))),
inference(subst,[],[refute_0_804:[bind(A,$fot(X_53)),bind(X_10,$fot(complement(converse(X_53))))]]) ).
cnf(refute_0_806,plain,
top = join(converse(X_53),complement(converse(X_53))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_53)))]]) ).
cnf(refute_0_807,plain,
( top != join(converse(X_53),complement(converse(X_53)))
| join(converse(X_53),complement(converse(X_53))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_53),complement(converse(X_53)))))]]) ).
cnf(refute_0_808,plain,
join(converse(X_53),complement(converse(X_53))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_53),complement(converse(X_53)))) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
( converse(join(converse(X_53),complement(converse(X_53)))) != join(X_53,converse(complement(converse(X_53))))
| join(converse(X_53),complement(converse(X_53))) != top
| converse(top) = join(X_53,converse(complement(converse(X_53)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_53),complement(converse(X_53)))),join(X_53,converse(complement(converse(X_53))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_810,plain,
( converse(join(converse(X_53),complement(converse(X_53)))) != join(X_53,converse(complement(converse(X_53))))
| converse(top) = join(X_53,converse(complement(converse(X_53)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_53),complement(converse(X_53))),top) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
converse(top) = join(X_53,converse(complement(converse(X_53)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_53),complement(converse(X_53)))),join(X_53,converse(complement(converse(X_53))))) )],[refute_0_805,refute_0_810]) ).
cnf(refute_0_812,plain,
join(sk1,join(sk2,converse(complement(converse(sk2))))) = join(sk2,converse(complement(converse(sk2)))),
inference(subst,[],[refute_0_503:[bind(X_8,$fot(converse(complement(converse(sk2)))))]]) ).
cnf(refute_0_813,plain,
converse(top) = join(sk2,converse(complement(converse(sk2)))),
inference(subst,[],[refute_0_811:[bind(X_53,$fot(sk2))]]) ).
cnf(refute_0_814,plain,
( converse(top) != join(sk2,converse(complement(converse(sk2))))
| join(sk2,converse(complement(converse(sk2)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(sk2,converse(complement(converse(sk2))))))]]) ).
cnf(refute_0_815,plain,
join(sk2,converse(complement(converse(sk2)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(sk2,converse(complement(converse(sk2))))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( join(sk1,join(sk2,converse(complement(converse(sk2))))) != join(sk2,converse(complement(converse(sk2))))
| join(sk2,converse(complement(converse(sk2)))) != converse(top)
| join(sk1,converse(top)) = join(sk2,converse(complement(converse(sk2)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,converse(complement(converse(sk2))))),join(sk2,converse(complement(converse(sk2))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_817,plain,
( join(sk1,join(sk2,converse(complement(converse(sk2))))) != join(sk2,converse(complement(converse(sk2))))
| join(sk1,converse(top)) = join(sk2,converse(complement(converse(sk2)))) ),
inference(resolve,[$cnf( $equal(join(sk2,converse(complement(converse(sk2)))),converse(top)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
join(sk1,converse(top)) = join(sk2,converse(complement(converse(sk2)))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,converse(complement(converse(sk2))))),join(sk2,converse(complement(converse(sk2))))) )],[refute_0_812,refute_0_817]) ).
cnf(refute_0_819,plain,
( join(sk1,converse(top)) != join(sk2,converse(complement(converse(sk2))))
| join(sk2,converse(complement(converse(sk2)))) != converse(top)
| join(sk1,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(top)),converse(top)) ),[0],$fot(join(sk2,converse(complement(converse(sk2)))))]]) ).
cnf(refute_0_820,plain,
( join(sk1,converse(top)) != join(sk2,converse(complement(converse(sk2))))
| join(sk1,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk2,converse(complement(converse(sk2)))),converse(top)) )],[refute_0_815,refute_0_819]) ).
cnf(refute_0_821,plain,
join(sk1,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),join(sk2,converse(complement(converse(sk2))))) )],[refute_0_818,refute_0_820]) ).
cnf(refute_0_822,plain,
join(X_6,join(complement(X_6),converse(complement(converse(complement(X_6)))))) = join(top,converse(complement(converse(complement(X_6))))),
inference(subst,[],[refute_0_108:[bind(X_8,$fot(converse(complement(converse(complement(X_6))))))]]) ).
cnf(refute_0_823,plain,
converse(top) = join(complement(X_6),converse(complement(converse(complement(X_6))))),
inference(subst,[],[refute_0_811:[bind(X_53,$fot(complement(X_6)))]]) ).
cnf(refute_0_824,plain,
( converse(top) != join(complement(X_6),converse(complement(converse(complement(X_6)))))
| join(complement(X_6),converse(complement(converse(complement(X_6))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_6),converse(complement(converse(complement(X_6)))))))]]) ).
cnf(refute_0_825,plain,
join(complement(X_6),converse(complement(converse(complement(X_6))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_6),converse(complement(converse(complement(X_6)))))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
( join(X_6,join(complement(X_6),converse(complement(converse(complement(X_6)))))) != join(top,converse(complement(converse(complement(X_6)))))
| join(complement(X_6),converse(complement(converse(complement(X_6))))) != converse(top)
| join(X_6,converse(top)) = join(top,converse(complement(converse(complement(X_6))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(complement(X_6),converse(complement(converse(complement(X_6)))))),join(top,converse(complement(converse(complement(X_6)))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_827,plain,
( join(X_6,join(complement(X_6),converse(complement(converse(complement(X_6)))))) != join(top,converse(complement(converse(complement(X_6)))))
| join(X_6,converse(top)) = join(top,converse(complement(converse(complement(X_6))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),converse(complement(converse(complement(X_6))))),converse(top)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
join(X_6,converse(top)) = join(top,converse(complement(converse(complement(X_6))))),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_6),converse(complement(converse(complement(X_6)))))),join(top,converse(complement(converse(complement(X_6)))))) )],[refute_0_822,refute_0_827]) ).
cnf(refute_0_829,plain,
join(top,converse(complement(converse(complement(X_6))))) = top,
inference(subst,[],[refute_0_536:[bind(X_44,$fot(converse(complement(converse(complement(X_6))))))]]) ).
cnf(refute_0_830,plain,
( join(X_6,converse(top)) != join(top,converse(complement(converse(complement(X_6)))))
| join(top,converse(complement(converse(complement(X_6))))) != top
| join(X_6,converse(top)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,converse(top)),top) ),[0],$fot(join(top,converse(complement(converse(complement(X_6))))))]]) ).
cnf(refute_0_831,plain,
( join(X_6,converse(top)) != join(top,converse(complement(converse(complement(X_6)))))
| join(X_6,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(complement(X_6))))),top) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(X_6,converse(top)) = top,
inference(resolve,[$cnf( $equal(join(X_6,converse(top)),join(top,converse(complement(converse(complement(X_6)))))) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
join(sk1,converse(top)) = top,
inference(subst,[],[refute_0_832:[bind(X_6,$fot(sk1))]]) ).
cnf(refute_0_834,plain,
( join(sk1,converse(top)) != converse(top)
| join(sk1,converse(top)) != top
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(top)),converse(top)) ),[0],$fot(top)]]) ).
cnf(refute_0_835,plain,
( join(sk1,converse(top)) != converse(top)
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),top) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),converse(top)) )],[refute_0_821,refute_0_835]) ).
cnf(refute_0_837,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_838,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
( converse(top) != join(X_53,converse(complement(converse(X_53))))
| converse(top) != top
| top = join(X_53,converse(complement(converse(X_53)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_53,converse(complement(converse(X_53))))) ),[0],$fot(top)]]) ).
cnf(refute_0_840,plain,
( converse(top) != join(X_53,converse(complement(converse(X_53))))
| top = join(X_53,converse(complement(converse(X_53)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
top = join(X_53,converse(complement(converse(X_53)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_53,converse(complement(converse(X_53))))) )],[refute_0_811,refute_0_840]) ).
cnf(refute_0_842,plain,
top = join(complement(X_93),converse(complement(converse(complement(X_93))))),
inference(subst,[],[refute_0_841:[bind(X_53,$fot(complement(X_93)))]]) ).
cnf(refute_0_843,plain,
( top != join(complement(X_93),converse(complement(converse(complement(X_93)))))
| join(complement(X_93),converse(complement(converse(complement(X_93))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_93),converse(complement(converse(complement(X_93)))))))]]) ).
cnf(refute_0_844,plain,
join(complement(X_93),converse(complement(converse(complement(X_93))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_93),converse(complement(converse(complement(X_93)))))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
( X_93 != join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(join(complement(X_93),converse(complement(converse(complement(X_93)))))))
| join(complement(X_93),converse(complement(converse(complement(X_93))))) != top
| X_93 = join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(join(complement(X_93),converse(complement(converse(complement(X_93)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_846,plain,
( X_93 != join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(join(complement(X_93),converse(complement(converse(complement(X_93)))))))
| X_93 = join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),converse(complement(converse(complement(X_93))))),top) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
X_93 = join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(join(complement(X_93),converse(complement(converse(complement(X_93)))))))) )],[refute_0_800,refute_0_846]) ).
cnf(refute_0_848,plain,
join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) = join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))))]]) ).
cnf(refute_0_849,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) != join(complement(top),meet(X_93,converse(complement(converse(complement(X_93))))))
| join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))),join(complement(top),meet(X_93,converse(complement(converse(complement(X_93))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_850,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))),join(complement(top),meet(X_93,converse(complement(converse(complement(X_93))))))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_850]) ).
cnf(refute_0_852,plain,
join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) = join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_93,converse(complement(converse(complement(X_93)))))))]]) ).
cnf(refute_0_853,plain,
( join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) != join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))
| join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) != join(complement(top),meet(X_93,converse(complement(converse(complement(X_93))))))
| join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))))),bind(Z,$fot(join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))))]]) ).
cnf(refute_0_854,plain,
( join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))) != join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))
| join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)),join(complement(top),meet(X_93,converse(complement(converse(complement(X_93))))))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,converse(complement(converse(complement(X_93)))))),join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))) )],[refute_0_851,refute_0_854]) ).
cnf(refute_0_856,plain,
( X_93 != join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top))
| join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)) != join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))
| X_93 = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))) ),[0],$fot(join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)))]]) ).
cnf(refute_0_857,plain,
( X_93 != join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top))
| X_93 = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top)),join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
X_93 = join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,converse(complement(converse(complement(X_93))))),complement(top))) )],[refute_0_847,refute_0_857]) ).
cnf(refute_0_859,plain,
join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) = meet(X_93,converse(complement(converse(complement(X_93))))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,converse(complement(converse(complement(X_93)))))))]]) ).
cnf(refute_0_860,plain,
( X_93 != join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))
| join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))) != meet(X_93,converse(complement(converse(complement(X_93)))))
| X_93 = meet(X_93,converse(complement(converse(complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,converse(complement(converse(complement(X_93)))))) ),[0],$fot(join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))))]]) ).
cnf(refute_0_861,plain,
( X_93 != join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))
| X_93 = meet(X_93,converse(complement(converse(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,converse(complement(converse(complement(X_93)))))),meet(X_93,converse(complement(converse(complement(X_93)))))) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
X_93 = meet(X_93,converse(complement(converse(complement(X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,converse(complement(converse(complement(X_93))))))) )],[refute_0_858,refute_0_861]) ).
cnf(refute_0_863,plain,
complement(X_140) = meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))),
inference(subst,[],[refute_0_862:[bind(X_93,$fot(complement(X_140)))]]) ).
cnf(refute_0_864,plain,
( complement(X_140) != meet(complement(X_140),converse(complement(converse(complement(complement(X_140))))))
| meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))) = complement(X_140) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_140))),bind(Y,$fot(meet(complement(X_140),converse(complement(converse(complement(complement(X_140))))))))]]) ).
cnf(refute_0_865,plain,
meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))) = complement(X_140),
inference(resolve,[$cnf( $equal(complement(X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140))))))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
( converse(complement(converse(complement(complement(X_140))))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))))
| meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))) != complement(X_140)
| converse(complement(converse(complement(complement(X_140))))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))))) ),[1,1],$fot(complement(X_140))]]) ).
cnf(refute_0_867,plain,
( converse(complement(converse(complement(complement(X_140))))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))))
| converse(complement(converse(complement(complement(X_140))))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))),complement(X_140)) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
converse(complement(converse(complement(complement(X_140))))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(complement(X_140),converse(complement(converse(complement(complement(X_140)))))))) )],[refute_0_799,refute_0_867]) ).
cnf(refute_0_869,plain,
complement(complement(X_140)) = X_140,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(X_140))]]) ).
cnf(refute_0_870,plain,
converse(complement(complement(X_140))) = converse(complement(complement(X_140))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_140))))]]) ).
cnf(refute_0_871,plain,
( complement(complement(X_140)) != X_140
| converse(complement(complement(X_140))) != converse(complement(complement(X_140)))
| converse(complement(complement(X_140))) = converse(X_140) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_140))),converse(complement(complement(X_140)))) ),[1,0],$fot(X_140)]]) ).
cnf(refute_0_872,plain,
( complement(complement(X_140)) != X_140
| converse(complement(complement(X_140))) = converse(X_140) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_140))),converse(complement(complement(X_140)))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
converse(complement(complement(X_140))) = converse(X_140),
inference(resolve,[$cnf( $equal(complement(complement(X_140)),X_140) )],[refute_0_869,refute_0_872]) ).
cnf(refute_0_874,plain,
complement(converse(complement(complement(X_140)))) = complement(converse(complement(complement(X_140)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_140)))))]]) ).
cnf(refute_0_875,plain,
( complement(converse(complement(complement(X_140)))) != complement(converse(complement(complement(X_140))))
| converse(complement(complement(X_140))) != converse(X_140)
| complement(converse(complement(complement(X_140)))) = complement(converse(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_140)))),complement(converse(complement(complement(X_140))))) ),[1,0],$fot(converse(X_140))]]) ).
cnf(refute_0_876,plain,
( converse(complement(complement(X_140))) != converse(X_140)
| complement(converse(complement(complement(X_140)))) = complement(converse(X_140)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_140)))),complement(converse(complement(complement(X_140))))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
complement(converse(complement(complement(X_140)))) = complement(converse(X_140)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_140))),converse(X_140)) )],[refute_0_873,refute_0_876]) ).
cnf(refute_0_878,plain,
converse(complement(converse(complement(complement(X_140))))) = converse(complement(converse(complement(complement(X_140))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_140))))))]]) ).
cnf(refute_0_879,plain,
( complement(converse(complement(complement(X_140)))) != complement(converse(X_140))
| converse(complement(converse(complement(complement(X_140))))) != converse(complement(converse(complement(complement(X_140)))))
| converse(complement(converse(complement(complement(X_140))))) = converse(complement(converse(X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),converse(complement(converse(complement(complement(X_140)))))) ),[1,0],$fot(complement(converse(X_140)))]]) ).
cnf(refute_0_880,plain,
( complement(converse(complement(complement(X_140)))) != complement(converse(X_140))
| converse(complement(converse(complement(complement(X_140))))) = converse(complement(converse(X_140))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),converse(complement(converse(complement(complement(X_140)))))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
converse(complement(converse(complement(complement(X_140))))) = converse(complement(converse(X_140))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_140)))),complement(converse(X_140))) )],[refute_0_877,refute_0_880]) ).
cnf(refute_0_882,plain,
( converse(complement(converse(complement(complement(X_140))))) != converse(complement(converse(X_140)))
| converse(complement(converse(complement(complement(X_140))))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))
| converse(complement(converse(X_140))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))) ),[0],$fot(converse(complement(converse(X_140))))]]) ).
cnf(refute_0_883,plain,
( converse(complement(converse(complement(complement(X_140))))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))
| converse(complement(converse(X_140))) = join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),converse(complement(converse(X_140)))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
meet(X_140,converse(complement(converse(complement(complement(X_140)))))) = meet(X_140,converse(complement(converse(complement(complement(X_140)))))),
introduced(tautology,[refl,[$fot(meet(X_140,converse(complement(converse(complement(complement(X_140)))))))]]) ).
cnf(refute_0_885,plain,
( converse(complement(converse(complement(complement(X_140))))) != converse(complement(converse(X_140)))
| meet(X_140,converse(complement(converse(complement(complement(X_140)))))) != meet(X_140,converse(complement(converse(complement(complement(X_140))))))
| meet(X_140,converse(complement(converse(complement(complement(X_140)))))) = meet(X_140,converse(complement(converse(X_140)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_140,converse(complement(converse(complement(complement(X_140)))))),meet(X_140,converse(complement(converse(complement(complement(X_140))))))) ),[1,1],$fot(converse(complement(converse(X_140))))]]) ).
cnf(refute_0_886,plain,
( converse(complement(converse(complement(complement(X_140))))) != converse(complement(converse(X_140)))
| meet(X_140,converse(complement(converse(complement(complement(X_140)))))) = meet(X_140,converse(complement(converse(X_140)))) ),
inference(resolve,[$cnf( $equal(meet(X_140,converse(complement(converse(complement(complement(X_140)))))),meet(X_140,converse(complement(converse(complement(complement(X_140))))))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
meet(X_140,converse(complement(converse(complement(complement(X_140)))))) = meet(X_140,converse(complement(converse(X_140)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),converse(complement(converse(X_140)))) )],[refute_0_881,refute_0_886]) ).
cnf(refute_0_888,plain,
meet(converse(complement(converse(complement(complement(X_140))))),X_140) = meet(X_140,converse(complement(converse(complement(complement(X_140)))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(X_140)),bind(X_35,$fot(converse(complement(converse(complement(complement(X_140)))))))]]) ).
cnf(refute_0_889,plain,
( meet(X_140,converse(complement(converse(complement(complement(X_140)))))) != meet(X_140,converse(complement(converse(X_140))))
| meet(converse(complement(converse(complement(complement(X_140))))),X_140) != meet(X_140,converse(complement(converse(complement(complement(X_140))))))
| meet(converse(complement(converse(complement(complement(X_140))))),X_140) = meet(X_140,converse(complement(converse(X_140)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_140))))),X_140))),bind(Y,$fot(meet(X_140,converse(complement(converse(complement(complement(X_140)))))))),bind(Z,$fot(meet(X_140,converse(complement(converse(X_140))))))]]) ).
cnf(refute_0_890,plain,
( meet(X_140,converse(complement(converse(complement(complement(X_140)))))) != meet(X_140,converse(complement(converse(X_140))))
| meet(converse(complement(converse(complement(complement(X_140))))),X_140) = meet(X_140,converse(complement(converse(X_140)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(X_140,converse(complement(converse(complement(complement(X_140))))))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
meet(converse(complement(converse(complement(complement(X_140))))),X_140) = meet(X_140,converse(complement(converse(X_140)))),
inference(resolve,[$cnf( $equal(meet(X_140,converse(complement(converse(complement(complement(X_140)))))),meet(X_140,converse(complement(converse(X_140))))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) = join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)),
introduced(tautology,[refl,[$fot(join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)))]]) ).
cnf(refute_0_893,plain,
( join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) != join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140))
| meet(converse(complement(converse(complement(complement(X_140))))),X_140) != meet(X_140,converse(complement(converse(X_140))))
| join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)),join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140))) ),[1,1],$fot(meet(X_140,converse(complement(converse(X_140)))))]]) ).
cnf(refute_0_894,plain,
( meet(converse(complement(converse(complement(complement(X_140))))),X_140) != meet(X_140,converse(complement(converse(X_140))))
| join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)),join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_140))))),X_140),meet(X_140,converse(complement(converse(X_140))))) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) = join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_140))),bind(B,$fot(meet(converse(complement(converse(complement(complement(X_140))))),X_140)))]]) ).
cnf(refute_0_897,plain,
( join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) != join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))
| join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) != join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140))
| join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)))),bind(Y,$fot(join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)))),bind(Z,$fot(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))]]) ).
cnf(refute_0_898,plain,
( join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)) != join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))
| join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)),join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))),
inference(resolve,[$cnf( $equal(join(complement(X_140),meet(converse(complement(converse(complement(complement(X_140))))),X_140)),join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( converse(complement(converse(X_140))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))
| join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)) != join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))
| converse(complement(converse(X_140))) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_140))),join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)))]]) ).
cnf(refute_0_901,plain,
( converse(complement(converse(X_140))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))
| converse(complement(converse(X_140))) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140)),join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
( converse(complement(converse(complement(complement(X_140))))) != join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))
| converse(complement(converse(X_140))) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_140))),join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))) )],[refute_0_883,refute_0_901]) ).
cnf(refute_0_903,plain,
converse(complement(converse(X_140))) = join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_140))))),join(meet(converse(complement(converse(complement(complement(X_140))))),X_140),complement(X_140))) )],[refute_0_868,refute_0_902]) ).
cnf(refute_0_904,plain,
converse(complement(converse(sk1))) = join(complement(sk1),meet(sk1,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_903:[bind(X_140,$fot(sk1))]]) ).
cnf(refute_0_905,plain,
( converse(complement(converse(sk1))) != join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))
| join(complement(sk1),meet(sk1,converse(complement(converse(sk1))))) = converse(complement(converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(sk1))))),bind(Y,$fot(join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_906,plain,
join(complement(sk1),meet(sk1,converse(complement(converse(sk1))))) = converse(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
( join(complement(sk1),meet(sk1,converse(complement(converse(sk1))))) != converse(complement(converse(sk1)))
| join(sk3,join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))) != top
| join(sk3,converse(complement(converse(sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))),top) ),[0,1],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_908,plain,
( join(sk3,join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))) != top
| join(sk3,converse(complement(converse(sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(sk1,converse(complement(converse(sk1))))),converse(complement(converse(sk1)))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(sk3,converse(complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),meet(sk1,converse(complement(converse(sk1)))))),top) )],[refute_0_798,refute_0_908]) ).
cnf(refute_0_910,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != converse(join(sk3,converse(complement(converse(sk1)))))
| join(sk3,converse(complement(converse(sk1)))) != top
| converse(join(converse(complement(converse(sk1))),sk3)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),converse(join(sk3,converse(complement(converse(sk1)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_911,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != converse(join(sk3,converse(complement(converse(sk1)))))
| converse(join(converse(complement(converse(sk1))),sk3)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk3,converse(complement(converse(sk1)))),top) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
converse(join(converse(complement(converse(sk1))),sk3)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),converse(join(sk3,converse(complement(converse(sk1)))))) )],[refute_0_758,refute_0_911]) ).
cnf(refute_0_913,plain,
join(complement(converse(sk1)),converse(sk3)) = join(converse(sk3),complement(converse(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(sk3))),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_914,plain,
converse(join(converse(complement(converse(sk1))),sk3)) = join(complement(converse(sk1)),converse(sk3)),
inference(subst,[],[refute_0_804:[bind(A,$fot(complement(converse(sk1)))),bind(X_10,$fot(sk3))]]) ).
cnf(refute_0_915,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != join(complement(converse(sk1)),converse(sk3))
| join(complement(converse(sk1)),converse(sk3)) != join(converse(sk3),complement(converse(sk1)))
| converse(join(converse(complement(converse(sk1))),sk3)) = join(converse(sk3),complement(converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(complement(converse(sk1))),sk3)))),bind(Y,$fot(join(complement(converse(sk1)),converse(sk3)))),bind(Z,$fot(join(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_916,plain,
( join(complement(converse(sk1)),converse(sk3)) != join(converse(sk3),complement(converse(sk1)))
| converse(join(converse(complement(converse(sk1))),sk3)) = join(converse(sk3),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),join(complement(converse(sk1)),converse(sk3))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
converse(join(converse(complement(converse(sk1))),sk3)) = join(converse(sk3),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),converse(sk3)),join(converse(sk3),complement(converse(sk1)))) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != converse(top)
| converse(join(converse(complement(converse(sk1))),sk3)) != join(converse(sk3),complement(converse(sk1)))
| join(converse(sk3),complement(converse(sk1))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),converse(top)) ),[0],$fot(join(converse(sk3),complement(converse(sk1))))]]) ).
cnf(refute_0_919,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != converse(top)
| join(converse(sk3),complement(converse(sk1))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),join(converse(sk3),complement(converse(sk1)))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
( converse(top) != top
| join(converse(sk3),complement(converse(sk1))) != converse(top)
| join(converse(sk3),complement(converse(sk1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk3),complement(converse(sk1))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_921,plain,
( join(converse(sk3),complement(converse(sk1))) != converse(top)
| join(converse(sk3),complement(converse(sk1))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_838,refute_0_920]) ).
cnf(refute_0_922,plain,
( converse(join(converse(complement(converse(sk1))),sk3)) != converse(top)
| join(converse(sk3),complement(converse(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(converse(sk3),complement(converse(sk1))),converse(top)) )],[refute_0_919,refute_0_921]) ).
cnf(refute_0_923,plain,
join(converse(sk3),complement(converse(sk1))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),sk3)),converse(top)) )],[refute_0_912,refute_0_922]) ).
cnf(refute_0_924,plain,
( converse(sk1) != join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk3),complement(converse(sk1)))))
| join(converse(sk3),complement(converse(sk1))) != top
| converse(sk1) = join(meet(converse(sk1),converse(sk3)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk3),complement(converse(sk1)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_925,plain,
( converse(sk1) != join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk3),complement(converse(sk1)))))
| converse(sk1) = join(meet(converse(sk1),converse(sk3)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(converse(sk3),complement(converse(sk1))),top) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
converse(sk1) = join(meet(converse(sk1),converse(sk3)),complement(top)),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk3),complement(converse(sk1)))))) )],[refute_0_757,refute_0_925]) ).
cnf(refute_0_927,plain,
join(zero,meet(converse(sk1),converse(sk3))) = meet(converse(sk1),converse(sk3)),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_928,plain,
join(complement(top),meet(converse(sk1),converse(sk3))) = join(complement(top),meet(converse(sk1),converse(sk3))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_929,plain,
( complement(top) != zero
| join(complement(top),meet(converse(sk1),converse(sk3))) != join(complement(top),meet(converse(sk1),converse(sk3)))
| join(complement(top),meet(converse(sk1),converse(sk3))) = join(zero,meet(converse(sk1),converse(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(sk1),converse(sk3))),join(complement(top),meet(converse(sk1),converse(sk3)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_930,plain,
( complement(top) != zero
| join(complement(top),meet(converse(sk1),converse(sk3))) = join(zero,meet(converse(sk1),converse(sk3))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),converse(sk3))),join(complement(top),meet(converse(sk1),converse(sk3)))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
join(complement(top),meet(converse(sk1),converse(sk3))) = join(zero,meet(converse(sk1),converse(sk3))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_930]) ).
cnf(refute_0_932,plain,
( join(complement(top),meet(converse(sk1),converse(sk3))) != join(zero,meet(converse(sk1),converse(sk3)))
| join(zero,meet(converse(sk1),converse(sk3))) != meet(converse(sk1),converse(sk3))
| join(complement(top),meet(converse(sk1),converse(sk3))) = meet(converse(sk1),converse(sk3)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(converse(sk1),converse(sk3))))),bind(Y,$fot(join(zero,meet(converse(sk1),converse(sk3))))),bind(Z,$fot(meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_933,plain,
( join(zero,meet(converse(sk1),converse(sk3))) != meet(converse(sk1),converse(sk3))
| join(complement(top),meet(converse(sk1),converse(sk3))) = meet(converse(sk1),converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),converse(sk3))),join(zero,meet(converse(sk1),converse(sk3)))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
join(complement(top),meet(converse(sk1),converse(sk3))) = meet(converse(sk1),converse(sk3)),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk1),converse(sk3))),meet(converse(sk1),converse(sk3))) )],[refute_0_927,refute_0_933]) ).
cnf(refute_0_935,plain,
join(meet(converse(sk1),converse(sk3)),complement(top)) = join(complement(top),meet(converse(sk1),converse(sk3))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_936,plain,
( join(complement(top),meet(converse(sk1),converse(sk3))) != meet(converse(sk1),converse(sk3))
| join(meet(converse(sk1),converse(sk3)),complement(top)) != join(complement(top),meet(converse(sk1),converse(sk3)))
| join(meet(converse(sk1),converse(sk3)),complement(top)) = meet(converse(sk1),converse(sk3)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(sk1),converse(sk3)),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(sk1),converse(sk3))))),bind(Z,$fot(meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_937,plain,
( join(complement(top),meet(converse(sk1),converse(sk3))) != meet(converse(sk1),converse(sk3))
| join(meet(converse(sk1),converse(sk3)),complement(top)) = meet(converse(sk1),converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),converse(sk3)),complement(top)),join(complement(top),meet(converse(sk1),converse(sk3)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
join(meet(converse(sk1),converse(sk3)),complement(top)) = meet(converse(sk1),converse(sk3)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),converse(sk3))),meet(converse(sk1),converse(sk3))) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
( converse(sk1) != join(meet(converse(sk1),converse(sk3)),complement(top))
| join(meet(converse(sk1),converse(sk3)),complement(top)) != meet(converse(sk1),converse(sk3))
| converse(sk1) = meet(converse(sk1),converse(sk3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(converse(sk1),converse(sk3))) ),[0],$fot(join(meet(converse(sk1),converse(sk3)),complement(top)))]]) ).
cnf(refute_0_940,plain,
( converse(sk1) != join(meet(converse(sk1),converse(sk3)),complement(top))
| converse(sk1) = meet(converse(sk1),converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),converse(sk3)),complement(top)),meet(converse(sk1),converse(sk3))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
converse(sk1) = meet(converse(sk1),converse(sk3)),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(sk3)),complement(top))) )],[refute_0_926,refute_0_940]) ).
cnf(refute_0_942,plain,
( converse(sk1) != meet(converse(sk1),converse(sk3))
| meet(converse(sk1),converse(sk3)) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),converse(sk3))))]]) ).
cnf(refute_0_943,plain,
meet(converse(sk1),converse(sk3)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(sk3))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
( converse(sk3) != join(meet(converse(sk1),converse(sk3)),meet(complement(converse(sk1)),converse(sk3)))
| meet(converse(sk1),converse(sk3)) != converse(sk1)
| converse(sk3) = join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk3),join(meet(converse(sk1),converse(sk3)),meet(complement(converse(sk1)),converse(sk3)))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_945,plain,
( converse(sk3) != join(meet(converse(sk1),converse(sk3)),meet(complement(converse(sk1)),converse(sk3)))
| converse(sk3) = join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(sk3)),converse(sk1)) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
converse(sk3) = join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))),
inference(resolve,[$cnf( $equal(converse(sk3),join(meet(converse(sk1),converse(sk3)),meet(complement(converse(sk1)),converse(sk3)))) )],[refute_0_756,refute_0_945]) ).
cnf(refute_0_947,plain,
meet(complement(converse(sk1)),converse(sk3)) = meet(converse(sk3),complement(converse(sk1))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(converse(sk3))),bind(X_35,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_948,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) = join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))))]]) ).
cnf(refute_0_949,plain,
( join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) != join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))
| meet(complement(converse(sk1)),converse(sk3)) != meet(converse(sk3),complement(converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))),join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))) ),[1,1],$fot(meet(converse(sk3),complement(converse(sk1))))]]) ).
cnf(refute_0_950,plain,
( meet(complement(converse(sk1)),converse(sk3)) != meet(converse(sk3),complement(converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))),join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(sk3)),meet(converse(sk3),complement(converse(sk1)))) )],[refute_0_947,refute_0_950]) ).
cnf(refute_0_952,plain,
( converse(sk3) != join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))) != join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))
| converse(sk3) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk3),join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))) ),[0],$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))))]]) ).
cnf(refute_0_953,plain,
( converse(sk3) != join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))
| converse(sk3) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(sk3))),join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
converse(sk3) = join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(sk3),join(converse(sk1),meet(complement(converse(sk1)),converse(sk3)))) )],[refute_0_946,refute_0_953]) ).
cnf(refute_0_955,plain,
( converse(sk3) != join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))
| join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) = converse(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk3))),bind(Y,$fot(join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_956,plain,
join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) = converse(sk3),
inference(resolve,[$cnf( $equal(converse(sk3),join(converse(sk1),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))))
| join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))) != converse(sk3)
| converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = converse(converse(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))))) ),[1,0],$fot(converse(sk3))]]) ).
cnf(refute_0_958,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))))
| converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = converse(converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))),converse(sk3)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = converse(converse(sk3)),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_755,refute_0_958]) ).
cnf(refute_0_960,plain,
join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1) = join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_961,plain,
converse(join(X_9,converse(A))) = join(converse(X_9),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_9)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_962,plain,
( converse(converse(A)) != A
| converse(join(X_9,converse(A))) != join(converse(X_9),converse(converse(A)))
| converse(join(X_9,converse(A))) = join(converse(X_9),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_9,converse(A))),join(converse(X_9),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_963,plain,
( converse(join(X_9,converse(A))) != join(converse(X_9),converse(converse(A)))
| converse(join(X_9,converse(A))) = join(converse(X_9),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_962]) ).
cnf(refute_0_964,plain,
converse(join(X_9,converse(A))) = join(converse(X_9),A),
inference(resolve,[$cnf( $equal(converse(join(X_9,converse(A))),join(converse(X_9),converse(converse(A)))) )],[refute_0_961,refute_0_963]) ).
cnf(refute_0_965,plain,
converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1),
inference(subst,[],[refute_0_964:[bind(A,$fot(sk1)),bind(X_9,$fot(meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_966,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1)
| join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1) != join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))
| converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))))),bind(Y,$fot(join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1))),bind(Z,$fot(join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_967,plain,
( join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1) != join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))
| converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1)) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(sk1)))),sk1),join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_960,refute_0_967]) ).
cnf(refute_0_969,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != converse(converse(sk3))
| converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = converse(converse(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),converse(converse(sk3))) ),[0],$fot(join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_970,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != converse(converse(sk3))
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = converse(converse(sk3)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),join(sk1,converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
converse(converse(sk3)) = sk3,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk3))]]) ).
cnf(refute_0_972,plain,
( converse(converse(sk3)) != sk3
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) != converse(converse(sk3))
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))),converse(converse(sk3))) ),[1],$fot(sk3)]]) ).
cnf(refute_0_973,plain,
( join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) != converse(converse(sk3))
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = sk3 ),
inference(resolve,[$cnf( $equal(converse(converse(sk3)),sk3) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
( converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))) != converse(converse(sk3))
| join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = sk3 ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))),converse(converse(sk3))) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) = sk3,
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(sk1))),converse(sk1))),converse(converse(sk3))) )],[refute_0_959,refute_0_974]) ).
cnf(refute_0_976,plain,
( join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))) != sk3
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk2,join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk2,join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))))) ),[1,1],$fot(sk3)]]) ).
cnf(refute_0_977,plain,
( join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk2,join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,sk3) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))),sk3) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,sk3),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk2,join(sk1,converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_741,refute_0_977]) ).
cnf(refute_0_979,plain,
join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_503:[bind(X_8,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_980,plain,
join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) = join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(subst,[],[refute_0_276:[bind(X_6,$fot(sk1)),bind(X_7,$fot(sk2)),bind(X_8,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_981,plain,
( join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) != join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))))
| join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) != join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)))),bind(Y,$fot(join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))))),bind(Z,$fot(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_982,plain,
( join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) != join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)),join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_979,refute_0_982]) ).
cnf(refute_0_984,plain,
join(B,join(B,C)) = join(join(B,B),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(B))]]) ).
cnf(refute_0_985,plain,
join(X_129,X_129) = complement(complement(join(X_129,X_129))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(join(X_129,X_129)))]]) ).
cnf(refute_0_986,plain,
complement(X_128) = join(meet(X_128,complement(X_128)),complement(join(complement(complement(X_128)),X_128))),
inference(subst,[],[refute_0_255:[bind(X_93,$fot(complement(X_128))),bind(X_94,$fot(X_128))]]) ).
cnf(refute_0_987,plain,
zero = meet(X_128,complement(X_128)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_128))]]) ).
cnf(refute_0_988,plain,
( zero != meet(X_128,complement(X_128))
| meet(X_128,complement(X_128)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_128,complement(X_128))))]]) ).
cnf(refute_0_989,plain,
meet(X_128,complement(X_128)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_128,complement(X_128))) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
( complement(X_128) != join(meet(X_128,complement(X_128)),complement(join(complement(complement(X_128)),X_128)))
| meet(X_128,complement(X_128)) != zero
| complement(X_128) = join(zero,complement(join(complement(complement(X_128)),X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_128),join(meet(X_128,complement(X_128)),complement(join(complement(complement(X_128)),X_128)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_991,plain,
( complement(X_128) != join(meet(X_128,complement(X_128)),complement(join(complement(complement(X_128)),X_128)))
| complement(X_128) = join(zero,complement(join(complement(complement(X_128)),X_128))) ),
inference(resolve,[$cnf( $equal(meet(X_128,complement(X_128)),zero) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
complement(X_128) = join(zero,complement(join(complement(complement(X_128)),X_128))),
inference(resolve,[$cnf( $equal(complement(X_128),join(meet(X_128,complement(X_128)),complement(join(complement(complement(X_128)),X_128)))) )],[refute_0_986,refute_0_991]) ).
cnf(refute_0_993,plain,
complement(complement(X_128)) = X_128,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(X_128))]]) ).
cnf(refute_0_994,plain,
join(X_128,complement(complement(X_128))) = join(X_128,complement(complement(X_128))),
introduced(tautology,[refl,[$fot(join(X_128,complement(complement(X_128))))]]) ).
cnf(refute_0_995,plain,
( complement(complement(X_128)) != X_128
| join(X_128,complement(complement(X_128))) != join(X_128,complement(complement(X_128)))
| join(X_128,complement(complement(X_128))) = join(X_128,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_128,complement(complement(X_128))),join(X_128,complement(complement(X_128)))) ),[1,1],$fot(X_128)]]) ).
cnf(refute_0_996,plain,
( complement(complement(X_128)) != X_128
| join(X_128,complement(complement(X_128))) = join(X_128,X_128) ),
inference(resolve,[$cnf( $equal(join(X_128,complement(complement(X_128))),join(X_128,complement(complement(X_128)))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
join(X_128,complement(complement(X_128))) = join(X_128,X_128),
inference(resolve,[$cnf( $equal(complement(complement(X_128)),X_128) )],[refute_0_993,refute_0_996]) ).
cnf(refute_0_998,plain,
join(complement(complement(X_128)),X_128) = join(X_128,complement(complement(X_128))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_128)),bind(B,$fot(complement(complement(X_128))))]]) ).
cnf(refute_0_999,plain,
( join(X_128,complement(complement(X_128))) != join(X_128,X_128)
| join(complement(complement(X_128)),X_128) != join(X_128,complement(complement(X_128)))
| join(complement(complement(X_128)),X_128) = join(X_128,X_128) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(X_128)),X_128))),bind(Y,$fot(join(X_128,complement(complement(X_128))))),bind(Z,$fot(join(X_128,X_128)))]]) ).
cnf(refute_0_1000,plain,
( join(X_128,complement(complement(X_128))) != join(X_128,X_128)
| join(complement(complement(X_128)),X_128) = join(X_128,X_128) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_128)),X_128),join(X_128,complement(complement(X_128)))) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
join(complement(complement(X_128)),X_128) = join(X_128,X_128),
inference(resolve,[$cnf( $equal(join(X_128,complement(complement(X_128))),join(X_128,X_128)) )],[refute_0_997,refute_0_1000]) ).
cnf(refute_0_1002,plain,
complement(join(complement(complement(X_128)),X_128)) = complement(join(complement(complement(X_128)),X_128)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_128)),X_128)))]]) ).
cnf(refute_0_1003,plain,
( complement(join(complement(complement(X_128)),X_128)) != complement(join(complement(complement(X_128)),X_128))
| join(complement(complement(X_128)),X_128) != join(X_128,X_128)
| complement(join(complement(complement(X_128)),X_128)) = complement(join(X_128,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_128)),X_128)),complement(join(complement(complement(X_128)),X_128))) ),[1,0],$fot(join(X_128,X_128))]]) ).
cnf(refute_0_1004,plain,
( join(complement(complement(X_128)),X_128) != join(X_128,X_128)
| complement(join(complement(complement(X_128)),X_128)) = complement(join(X_128,X_128)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_128)),X_128)),complement(join(complement(complement(X_128)),X_128))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
complement(join(complement(complement(X_128)),X_128)) = complement(join(X_128,X_128)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_128)),X_128),join(X_128,X_128)) )],[refute_0_1001,refute_0_1004]) ).
cnf(refute_0_1006,plain,
join(zero,complement(join(complement(complement(X_128)),X_128))) = complement(join(complement(complement(X_128)),X_128)),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(complement(join(complement(complement(X_128)),X_128))))]]) ).
cnf(refute_0_1007,plain,
( complement(join(complement(complement(X_128)),X_128)) != complement(join(X_128,X_128))
| join(zero,complement(join(complement(complement(X_128)),X_128))) != complement(join(complement(complement(X_128)),X_128))
| join(zero,complement(join(complement(complement(X_128)),X_128))) = complement(join(X_128,X_128)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(join(complement(complement(X_128)),X_128))))),bind(Y,$fot(complement(join(complement(complement(X_128)),X_128)))),bind(Z,$fot(complement(join(X_128,X_128))))]]) ).
cnf(refute_0_1008,plain,
( complement(join(complement(complement(X_128)),X_128)) != complement(join(X_128,X_128))
| join(zero,complement(join(complement(complement(X_128)),X_128))) = complement(join(X_128,X_128)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_128)),X_128))),complement(join(complement(complement(X_128)),X_128))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
join(zero,complement(join(complement(complement(X_128)),X_128))) = complement(join(X_128,X_128)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_128)),X_128)),complement(join(X_128,X_128))) )],[refute_0_1005,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( complement(X_128) != join(zero,complement(join(complement(complement(X_128)),X_128)))
| join(zero,complement(join(complement(complement(X_128)),X_128))) != complement(join(X_128,X_128))
| complement(X_128) = complement(join(X_128,X_128)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_128),complement(join(X_128,X_128))) ),[0],$fot(join(zero,complement(join(complement(complement(X_128)),X_128))))]]) ).
cnf(refute_0_1011,plain,
( complement(X_128) != join(zero,complement(join(complement(complement(X_128)),X_128)))
| complement(X_128) = complement(join(X_128,X_128)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_128)),X_128))),complement(join(X_128,X_128))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
complement(X_128) = complement(join(X_128,X_128)),
inference(resolve,[$cnf( $equal(complement(X_128),join(zero,complement(join(complement(complement(X_128)),X_128)))) )],[refute_0_992,refute_0_1011]) ).
cnf(refute_0_1013,plain,
complement(X_129) = complement(join(X_129,X_129)),
inference(subst,[],[refute_0_1012:[bind(X_128,$fot(X_129))]]) ).
cnf(refute_0_1014,plain,
( complement(X_129) != complement(join(X_129,X_129))
| complement(join(X_129,X_129)) = complement(X_129) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_129))),bind(Y,$fot(complement(join(X_129,X_129))))]]) ).
cnf(refute_0_1015,plain,
complement(join(X_129,X_129)) = complement(X_129),
inference(resolve,[$cnf( $equal(complement(X_129),complement(join(X_129,X_129))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( complement(join(X_129,X_129)) != complement(X_129)
| join(X_129,X_129) != complement(complement(join(X_129,X_129)))
| join(X_129,X_129) = complement(complement(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,X_129),complement(complement(join(X_129,X_129)))) ),[1,0],$fot(complement(X_129))]]) ).
cnf(refute_0_1017,plain,
( join(X_129,X_129) != complement(complement(join(X_129,X_129)))
| join(X_129,X_129) = complement(complement(X_129)) ),
inference(resolve,[$cnf( $equal(complement(join(X_129,X_129)),complement(X_129)) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
join(X_129,X_129) = complement(complement(X_129)),
inference(resolve,[$cnf( $equal(join(X_129,X_129),complement(complement(join(X_129,X_129)))) )],[refute_0_985,refute_0_1017]) ).
cnf(refute_0_1019,plain,
complement(complement(X_129)) = X_129,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(X_129))]]) ).
cnf(refute_0_1020,plain,
( complement(complement(X_129)) != X_129
| join(X_129,X_129) != complement(complement(X_129))
| join(X_129,X_129) = X_129 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,X_129),complement(complement(X_129))) ),[1],$fot(X_129)]]) ).
cnf(refute_0_1021,plain,
( join(X_129,X_129) != complement(complement(X_129))
| join(X_129,X_129) = X_129 ),
inference(resolve,[$cnf( $equal(complement(complement(X_129)),X_129) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
join(X_129,X_129) = X_129,
inference(resolve,[$cnf( $equal(join(X_129,X_129),complement(complement(X_129))) )],[refute_0_1018,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(B,B) = B,
inference(subst,[],[refute_0_1022:[bind(X_129,$fot(B))]]) ).
cnf(refute_0_1024,plain,
( join(B,B) != B
| join(B,join(B,C)) != join(join(B,B),C)
| join(B,join(B,C)) = join(B,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,join(B,C)),join(join(B,B),C)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_1025,plain,
( join(B,join(B,C)) != join(join(B,B),C)
| join(B,join(B,C)) = join(B,C) ),
inference(resolve,[$cnf( $equal(join(B,B),B) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
join(B,join(B,C)) = join(B,C),
inference(resolve,[$cnf( $equal(join(B,join(B,C)),join(join(B,B),C)) )],[refute_0_984,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)),
inference(subst,[],[refute_0_1026:[bind(B,$fot(sk1)),bind(C,$fot(join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)))]]) ).
cnf(refute_0_1028,plain,
( join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) != join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))))),bind(Y,$fot(join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)))),bind(Z,$fot(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1029,plain,
( join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)) != join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) = join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2)),join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_983,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))
| join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk2,sk3)
| join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) = join(sk2,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk2,sk3)) ),[0],$fot(join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_1032,plain,
( join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))) != join(sk2,sk3)
| join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) = join(sk2,sk3) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) = join(sk2,sk3),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(converse(meet(converse(sk3),complement(converse(sk1)))),sk2))),join(sk2,sk3)) )],[refute_0_978,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( complement(sk2) != join(complement(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))
| join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))) != join(sk2,sk3)
| complement(sk2) = join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk2),join(complement(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))) ),[1,0,0],$fot(join(sk2,sk3))]]) ).
cnf(refute_0_1035,plain,
( complement(sk2) != join(complement(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))
| complement(sk2) = join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(sk2,converse(meet(converse(sk3),complement(converse(sk1))))),join(sk2,sk3)) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
complement(sk2) = join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(join(sk2,converse(meet(converse(sk3),complement(converse(sk1)))))),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))) )],[refute_0_733,refute_0_1035]) ).
cnf(refute_0_1037,plain,
meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)) = meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk2))),bind(X_35,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_1038,plain,
join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) = join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),
introduced(tautology,[refl,[$fot(join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))))]]) ).
cnf(refute_0_1039,plain,
( join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) != join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))
| meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)) != meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))
| join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))) ),[1,1],$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_1040,plain,
( meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)) != meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))
| join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_1037,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( complement(sk2) != join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))
| join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))) != join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| complement(sk2) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),[0],$fot(join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))))]]) ).
cnf(refute_0_1043,plain,
( complement(sk2) != join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))
| complement(sk2) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2))),join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
complement(sk2) = join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(join(sk2,sk3)),meet(converse(meet(converse(sk3),complement(converse(sk1)))),complement(sk2)))) )],[refute_0_1036,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( complement(sk2) != join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1046,plain,
join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != complement(sk2)
| complement(complement(sk2)) = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[0,0],$fot(complement(sk2))]]) ).
cnf(refute_0_1048,plain,
( complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(complement(sk2)) = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk2)) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
complement(complement(sk2)) = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_732,refute_0_1048]) ).
cnf(refute_0_1050,plain,
complement(complement(sk2)) = sk2,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_1051,plain,
( complement(complement(sk2)) != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(complement(sk2)) != sk2
| sk2 = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(sk2)),meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[0],$fot(sk2)]]) ).
cnf(refute_0_1052,plain,
( complement(complement(sk2)) != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| sk2 = meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(sk2)),sk2) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( meet(A,complement(meet(X_34,X_35))) != complement(join(complement(A),meet(X_34,X_35)))
| complement(join(complement(A),meet(X_34,X_35))) = meet(A,complement(meet(X_34,X_35))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,complement(meet(X_34,X_35))))),bind(Y,$fot(complement(join(complement(A),meet(X_34,X_35)))))]]) ).
cnf(refute_0_1054,plain,
complement(join(complement(A),meet(X_34,X_35))) = meet(A,complement(meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(meet(A,complement(meet(X_34,X_35))),complement(join(complement(A),meet(X_34,X_35)))) )],[refute_0_462,refute_0_1053]) ).
cnf(refute_0_1055,plain,
complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(subst,[],[refute_0_1054:[bind(A,$fot(join(sk2,sk3))),bind(X_34,$fot(complement(sk2))),bind(X_35,$fot(converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_1056,plain,
meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(subst,[],[refute_0_589:[bind(A,$fot(join(sk2,sk3))),bind(B,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1057,plain,
( complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))),bind(Y,$fot(complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),bind(Z,$fot(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1058,plain,
( complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1055,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| sk2 != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| sk2 = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk2,meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1],$fot(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1061,plain,
( sk2 != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| sk2 = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( complement(complement(sk2)) != meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| sk2 = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(sk2,meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1052,refute_0_1061]) ).
cnf(refute_0_1063,plain,
sk2 = meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(complement(sk2)),meet(join(sk2,sk3),complement(join(complement(join(sk2,sk3)),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1049,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( sk2 != meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk2)),bind(Y,$fot(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1065,plain,
meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk2,
inference(resolve,[$cnf( $equal(sk2,meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk2
| meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_1067,plain,
( meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) ),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),sk2) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_731,refute_0_1067]) ).
cnf(refute_0_1069,plain,
( meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)
| meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk2
| sk2 = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)) ),[0],$fot(sk2)]]) ).
cnf(refute_0_1070,plain,
( meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)
| sk2 = meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) ),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),sk2) )],[refute_0_1065,refute_0_1069]) ).
cnf(refute_0_1071,plain,
meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) = meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(sk2)),bind(X_35,$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1072,plain,
( meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2) != meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| sk2 != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)
| sk2 = meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk2,meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)) ),[1],$fot(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1073,plain,
( sk2 != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)
| sk2 = meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2),meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
( meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)
| sk2 = meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(sk2,meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)) )],[refute_0_1070,refute_0_1073]) ).
cnf(refute_0_1075,plain,
sk2 = meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(join(sk2,sk3),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),sk2)) )],[refute_0_1068,refute_0_1074]) ).
cnf(refute_0_1076,plain,
( sk2 != meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk2)),bind(Y,$fot(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1077,plain,
meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk2,
inference(resolve,[$cnf( $equal(sk2,meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != join(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk2
| complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),join(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_1079,plain,
( complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != join(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),sk2) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),join(meet(sk2,complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_712,refute_0_1079]) ).
cnf(refute_0_1081,plain,
meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_1082,plain,
join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1083,plain,
( join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,1],$fot(complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1084,plain,
( meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[0],$fot(join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1087,plain,
( complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),join(sk2,meet(complement(sk2),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1080,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),bind(Y,$fot(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1090,plain,
join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( complement(sk2) != join(complement(sk2),meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))
| join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| complement(sk2) = join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk2),join(complement(sk2),meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))) ),[1,1,1,0],$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1092,plain,
( complement(sk2) != join(complement(sk2),meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))
| complement(sk2) = join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
complement(sk2) = join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(sk2),meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))) )],[refute_0_711,refute_0_1092]) ).
cnf(refute_0_1094,plain,
complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1095,plain,
meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1096,plain,
( complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))
| meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,1],$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_1097,plain,
( complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))
| meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
introduced(tautology,[refl,[$fot(join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1100,plain,
( join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) ),[1,1],$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1101,plain,
( meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( complement(sk2) != join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| complement(sk2) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),[0],$fot(join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1104,plain,
( complement(sk2) != join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| complement(sk2) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
complement(sk2) = join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(sk2),meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_1093,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( complement(sk2) != join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1107,plain,
join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != complement(sk2)
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,0],$fot(complement(sk2))]]) ).
cnf(refute_0_1109,plain,
( meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),complement(sk2)) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(complement(sk2)),
inference(resolve,[$cnf( $equal(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(complement(sk2),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_490,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( complement(complement(sk2)) != sk2
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(complement(sk2))
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = sk2 ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(complement(sk2))) ),[1],$fot(sk2)]]) ).
cnf(refute_0_1112,plain,
( meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(complement(sk2))
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = sk2 ),
inference(resolve,[$cnf( $equal(complement(complement(sk2)),sk2) )],[refute_0_1050,refute_0_1111]) ).
cnf(refute_0_1113,plain,
meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = sk2,
inference(resolve,[$cnf( $equal(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(complement(sk2))) )],[refute_0_1110,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != join(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != sk2
| complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),join(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_1115,plain,
( complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != join(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
inference(resolve,[$cnf( $equal(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),sk2) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),join(meet(sk2,complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_442,refute_0_1115]) ).
cnf(refute_0_1117,plain,
join(sk2,meet(sk1,complement(X_463))) = complement(complement(join(sk2,meet(sk1,complement(X_463))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(join(sk2,meet(sk1,complement(X_463)))))]]) ).
cnf(refute_0_1118,plain,
meet(complement(sk2),join(complement(sk1),C)) = meet(join(complement(sk1),C),meet(complement(sk2),join(complement(sk1),C))),
inference(subst,[],[refute_0_730:[bind(X_127,$fot(join(complement(sk1),C))),bind(X_128,$fot(complement(sk2)))]]) ).
cnf(refute_0_1119,plain,
( complement(sk2) != meet(complement(sk2),join(complement(sk1),C))
| meet(complement(sk2),join(complement(sk1),C)) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(meet(complement(sk2),join(complement(sk1),C))))]]) ).
cnf(refute_0_1120,plain,
meet(complement(sk2),join(complement(sk1),C)) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),meet(complement(sk2),join(complement(sk1),C))) )],[refute_0_675,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( meet(complement(sk2),join(complement(sk1),C)) != complement(sk2)
| meet(complement(sk2),join(complement(sk1),C)) != meet(join(complement(sk1),C),meet(complement(sk2),join(complement(sk1),C)))
| meet(complement(sk2),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),meet(join(complement(sk1),C),meet(complement(sk2),join(complement(sk1),C)))) ),[1,1],$fot(complement(sk2))]]) ).
cnf(refute_0_1122,plain,
( meet(complement(sk2),join(complement(sk1),C)) != meet(join(complement(sk1),C),meet(complement(sk2),join(complement(sk1),C)))
| meet(complement(sk2),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),complement(sk2)) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
meet(complement(sk2),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk2)),
inference(resolve,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),meet(join(complement(sk1),C),meet(complement(sk2),join(complement(sk1),C)))) )],[refute_0_1118,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( meet(complement(sk2),join(complement(sk1),C)) != complement(sk2)
| meet(complement(sk2),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk2))
| complement(sk2) = meet(join(complement(sk1),C),complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),meet(join(complement(sk1),C),complement(sk2))) ),[0],$fot(complement(sk2))]]) ).
cnf(refute_0_1125,plain,
( meet(complement(sk2),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk2))
| complement(sk2) = meet(join(complement(sk1),C),complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),complement(sk2)) )],[refute_0_1120,refute_0_1124]) ).
cnf(refute_0_1126,plain,
converse(complement(converse(join(X_9,X_10)))) = join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))),
inference(subst,[],[refute_0_903:[bind(X_140,$fot(join(X_9,X_10)))]]) ).
cnf(refute_0_1127,plain,
( converse(join(X_10,X_9)) != converse(join(X_9,X_10))
| converse(join(X_9,X_10)) = converse(join(X_10,X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_10,X_9)))),bind(Y,$fot(converse(join(X_9,X_10))))]]) ).
cnf(refute_0_1128,plain,
converse(join(X_9,X_10)) = converse(join(X_10,X_9)),
inference(resolve,[$cnf( $equal(converse(join(X_10,X_9)),converse(join(X_9,X_10))) )],[refute_0_754,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( converse(complement(converse(join(X_9,X_10)))) != join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))
| converse(join(X_9,X_10)) != converse(join(X_10,X_9))
| converse(complement(converse(join(X_10,X_9)))) = join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_9,X_10)))),join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))) ),[0,0,0],$fot(converse(join(X_10,X_9)))]]) ).
cnf(refute_0_1130,plain,
( converse(complement(converse(join(X_9,X_10)))) != join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))
| converse(complement(converse(join(X_10,X_9)))) = join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_9,X_10)),converse(join(X_10,X_9))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
converse(complement(converse(join(X_10,X_9)))) = join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_9,X_10)))),join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))) )],[refute_0_1126,refute_0_1130]) ).
cnf(refute_0_1132,plain,
( converse(complement(converse(X_140))) != join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))
| join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) = converse(complement(converse(X_140))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_140))))),bind(Y,$fot(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))]]) ).
cnf(refute_0_1133,plain,
join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) = converse(complement(converse(X_140))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_140))),join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))) )],[refute_0_903,refute_0_1132]) ).
cnf(refute_0_1134,plain,
join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))) = converse(complement(converse(join(X_9,X_10)))),
inference(subst,[],[refute_0_1133:[bind(X_140,$fot(join(X_9,X_10)))]]) ).
cnf(refute_0_1135,plain,
( converse(complement(converse(join(X_10,X_9)))) != join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))
| join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))) != converse(complement(converse(join(X_9,X_10))))
| converse(complement(converse(join(X_10,X_9)))) = converse(complement(converse(join(X_9,X_10)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(join(X_10,X_9)))),converse(complement(converse(join(X_9,X_10))))) ),[0],$fot(join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))))]]) ).
cnf(refute_0_1136,plain,
( converse(complement(converse(join(X_10,X_9)))) != join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))
| converse(complement(converse(join(X_10,X_9)))) = converse(complement(converse(join(X_9,X_10)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10)))))),converse(complement(converse(join(X_9,X_10))))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
converse(complement(converse(join(X_10,X_9)))) = converse(complement(converse(join(X_9,X_10)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_10,X_9)))),join(complement(join(X_9,X_10)),meet(join(X_9,X_10),converse(complement(converse(join(X_9,X_10))))))) )],[refute_0_1131,refute_0_1136]) ).
cnf(refute_0_1138,plain,
converse(converse(join(X_10,X_9))) = join(X_10,X_9),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_10,X_9)))]]) ).
cnf(refute_0_1139,plain,
complement(converse(converse(join(X_10,X_9)))) = complement(converse(converse(join(X_10,X_9)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_10,X_9)))))]]) ).
cnf(refute_0_1140,plain,
( complement(converse(converse(join(X_10,X_9)))) != complement(converse(converse(join(X_10,X_9))))
| converse(converse(join(X_10,X_9))) != join(X_10,X_9)
| complement(converse(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_10,X_9)))),complement(converse(converse(join(X_10,X_9))))) ),[1,0],$fot(join(X_10,X_9))]]) ).
cnf(refute_0_1141,plain,
( converse(converse(join(X_10,X_9))) != join(X_10,X_9)
| complement(converse(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_10,X_9)))),complement(converse(converse(join(X_10,X_9))))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
complement(converse(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_10,X_9))),join(X_10,X_9)) )],[refute_0_1138,refute_0_1141]) ).
cnf(refute_0_1143,plain,
converse(A) = meet(converse(A),join(converse(A),converse(B))),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(converse(B))),bind(X_118,$fot(converse(A)))]]) ).
cnf(refute_0_1144,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_1145,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_750,refute_0_1144]) ).
cnf(refute_0_1146,plain,
converse(A) = meet(converse(A),converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) )],[refute_0_1143,refute_0_1145]) ).
cnf(refute_0_1147,plain,
converse(complement(X_140)) = meet(converse(complement(X_140)),converse(join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))))),
inference(subst,[],[refute_0_1146:[bind(A,$fot(complement(X_140))),bind(B,$fot(meet(X_140,converse(complement(converse(X_140))))))]]) ).
cnf(refute_0_1148,plain,
( converse(complement(X_140)) != meet(converse(complement(X_140)),converse(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))
| join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))) != converse(complement(converse(X_140)))
| converse(complement(X_140)) = meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_140)),meet(converse(complement(X_140)),converse(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))) ),[1,1,0],$fot(converse(complement(converse(X_140))))]]) ).
cnf(refute_0_1149,plain,
( converse(complement(X_140)) != meet(converse(complement(X_140)),converse(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))
| converse(complement(X_140)) = meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_140),meet(X_140,converse(complement(converse(X_140))))),converse(complement(converse(X_140)))) )],[refute_0_1133,refute_0_1148]) ).
cnf(refute_0_1150,plain,
converse(complement(X_140)) = meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),
inference(resolve,[$cnf( $equal(converse(complement(X_140)),meet(converse(complement(X_140)),converse(join(complement(X_140),meet(X_140,converse(complement(converse(X_140)))))))) )],[refute_0_1147,refute_0_1149]) ).
cnf(refute_0_1151,plain,
complement(X_116) = meet(complement(X_116),converse(complement(converse(complement(complement(X_116)))))),
inference(subst,[],[refute_0_862:[bind(X_93,$fot(complement(X_116)))]]) ).
cnf(refute_0_1152,plain,
X_116 = complement(complement(X_116)),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(X_116))]]) ).
cnf(refute_0_1153,plain,
( X_116 != complement(complement(X_116))
| complement(complement(X_116)) = X_116 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_116)),bind(Y,$fot(complement(complement(X_116))))]]) ).
cnf(refute_0_1154,plain,
complement(complement(X_116)) = X_116,
inference(resolve,[$cnf( $equal(X_116,complement(complement(X_116))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( complement(X_116) != meet(complement(X_116),converse(complement(converse(complement(complement(X_116))))))
| complement(complement(X_116)) != X_116
| complement(X_116) = meet(complement(X_116),converse(complement(converse(X_116)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_116),meet(complement(X_116),converse(complement(converse(complement(complement(X_116))))))) ),[1,1,0,0,0],$fot(X_116)]]) ).
cnf(refute_0_1156,plain,
( complement(X_116) != meet(complement(X_116),converse(complement(converse(complement(complement(X_116))))))
| complement(X_116) = meet(complement(X_116),converse(complement(converse(X_116)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_116)),X_116) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
complement(X_116) = meet(complement(X_116),converse(complement(converse(X_116)))),
inference(resolve,[$cnf( $equal(complement(X_116),meet(complement(X_116),converse(complement(converse(complement(complement(X_116))))))) )],[refute_0_1151,refute_0_1156]) ).
cnf(refute_0_1158,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(converse(converse(A))))),
inference(subst,[],[refute_0_1157:[bind(X_116,$fot(converse(A)))]]) ).
cnf(refute_0_1159,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_1160,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( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1159]) ).
cnf(refute_0_1161,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(converse(converse(A)))))) )],[refute_0_1158,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(A)))
| meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(A)))),bind(Y,$fot(meet(complement(converse(A)),converse(complement(A)))))]]) ).
cnf(refute_0_1163,plain,
meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(A)))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
meet(complement(converse(X_140)),converse(complement(X_140))) = complement(converse(X_140)),
inference(subst,[],[refute_0_1163:[bind(A,$fot(X_140))]]) ).
cnf(refute_0_1165,plain,
meet(converse(complement(X_140)),complement(converse(X_140))) = meet(complement(converse(X_140)),converse(complement(X_140))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(converse(X_140)))),bind(X_35,$fot(converse(complement(X_140))))]]) ).
cnf(refute_0_1166,plain,
( meet(complement(converse(X_140)),converse(complement(X_140))) != complement(converse(X_140))
| meet(converse(complement(X_140)),complement(converse(X_140))) != meet(complement(converse(X_140)),converse(complement(X_140)))
| meet(converse(complement(X_140)),complement(converse(X_140))) = complement(converse(X_140)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(X_140)),complement(converse(X_140))))),bind(Y,$fot(meet(complement(converse(X_140)),converse(complement(X_140))))),bind(Z,$fot(complement(converse(X_140))))]]) ).
cnf(refute_0_1167,plain,
( meet(complement(converse(X_140)),converse(complement(X_140))) != complement(converse(X_140))
| meet(converse(complement(X_140)),complement(converse(X_140))) = complement(converse(X_140)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_140)),complement(converse(X_140))),meet(complement(converse(X_140)),converse(complement(X_140)))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
meet(converse(complement(X_140)),complement(converse(X_140))) = complement(converse(X_140)),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_140)),converse(complement(X_140))),complement(converse(X_140))) )],[refute_0_1164,refute_0_1167]) ).
cnf(refute_0_1169,plain,
converse(converse(complement(converse(X_140)))) = complement(converse(X_140)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(X_140))))]]) ).
cnf(refute_0_1170,plain,
meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))))]]) ).
cnf(refute_0_1171,plain,
( converse(converse(complement(converse(X_140)))) != complement(converse(X_140))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) != meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = meet(converse(complement(X_140)),complement(converse(X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))) ),[1,1],$fot(complement(converse(X_140)))]]) ).
cnf(refute_0_1172,plain,
( converse(converse(complement(converse(X_140)))) != complement(converse(X_140))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = meet(converse(complement(X_140)),complement(converse(X_140))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = meet(converse(complement(X_140)),complement(converse(X_140))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_140)))),complement(converse(X_140))) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( meet(converse(complement(X_140)),complement(converse(X_140))) != complement(converse(X_140))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) != meet(converse(complement(X_140)),complement(converse(X_140)))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = complement(converse(X_140)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))))),bind(Y,$fot(meet(converse(complement(X_140)),complement(converse(X_140))))),bind(Z,$fot(complement(converse(X_140))))]]) ).
cnf(refute_0_1175,plain,
( meet(converse(complement(X_140)),complement(converse(X_140))) != complement(converse(X_140))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = complement(converse(X_140)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),meet(converse(complement(X_140)),complement(converse(X_140)))) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) = complement(converse(X_140)),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_140)),complement(converse(X_140))),complement(converse(X_140))) )],[refute_0_1168,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( converse(complement(X_140)) != meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))
| meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))) != complement(converse(X_140))
| converse(complement(X_140)) = complement(converse(X_140)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_140)),complement(converse(X_140))) ),[0],$fot(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))))]]) ).
cnf(refute_0_1178,plain,
( converse(complement(X_140)) != meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))
| converse(complement(X_140)) = complement(converse(X_140)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_140)),converse(converse(complement(converse(X_140))))),complement(converse(X_140))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
converse(complement(X_140)) = complement(converse(X_140)),
inference(resolve,[$cnf( $equal(converse(complement(X_140)),meet(converse(complement(X_140)),converse(converse(complement(converse(X_140)))))) )],[refute_0_1150,refute_0_1178]) ).
cnf(refute_0_1180,plain,
converse(complement(converse(join(X_10,X_9)))) = complement(converse(converse(join(X_10,X_9)))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(converse(join(X_10,X_9))))]]) ).
cnf(refute_0_1181,plain,
( complement(converse(converse(join(X_10,X_9)))) != complement(join(X_10,X_9))
| converse(complement(converse(join(X_10,X_9)))) != complement(converse(converse(join(X_10,X_9))))
| converse(complement(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(join(X_10,X_9)))))),bind(Y,$fot(complement(converse(converse(join(X_10,X_9)))))),bind(Z,$fot(complement(join(X_10,X_9))))]]) ).
cnf(refute_0_1182,plain,
( complement(converse(converse(join(X_10,X_9)))) != complement(join(X_10,X_9))
| converse(complement(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_10,X_9)))),complement(converse(converse(join(X_10,X_9))))) )],[refute_0_1180,refute_0_1181]) ).
cnf(refute_0_1183,plain,
converse(complement(converse(join(X_10,X_9)))) = complement(join(X_10,X_9)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_10,X_9)))),complement(join(X_10,X_9))) )],[refute_0_1142,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( converse(complement(converse(join(X_10,X_9)))) != complement(join(X_10,X_9))
| converse(complement(converse(join(X_10,X_9)))) != converse(complement(converse(join(X_9,X_10))))
| complement(join(X_10,X_9)) = converse(complement(converse(join(X_9,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_10,X_9)))),converse(complement(converse(join(X_9,X_10))))) ),[0],$fot(complement(join(X_10,X_9)))]]) ).
cnf(refute_0_1185,plain,
( converse(complement(converse(join(X_10,X_9)))) != converse(complement(converse(join(X_9,X_10))))
| complement(join(X_10,X_9)) = converse(complement(converse(join(X_9,X_10)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_10,X_9)))),complement(join(X_10,X_9))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
converse(converse(join(X_9,X_10))) = join(X_9,X_10),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_9,X_10)))]]) ).
cnf(refute_0_1187,plain,
complement(converse(converse(join(X_9,X_10)))) = complement(converse(converse(join(X_9,X_10)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_9,X_10)))))]]) ).
cnf(refute_0_1188,plain,
( complement(converse(converse(join(X_9,X_10)))) != complement(converse(converse(join(X_9,X_10))))
| converse(converse(join(X_9,X_10))) != join(X_9,X_10)
| complement(converse(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_9,X_10)))),complement(converse(converse(join(X_9,X_10))))) ),[1,0],$fot(join(X_9,X_10))]]) ).
cnf(refute_0_1189,plain,
( converse(converse(join(X_9,X_10))) != join(X_9,X_10)
| complement(converse(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_9,X_10)))),complement(converse(converse(join(X_9,X_10))))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
complement(converse(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_9,X_10))),join(X_9,X_10)) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
converse(complement(converse(join(X_9,X_10)))) = complement(converse(converse(join(X_9,X_10)))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(converse(join(X_9,X_10))))]]) ).
cnf(refute_0_1192,plain,
( complement(converse(converse(join(X_9,X_10)))) != complement(join(X_9,X_10))
| converse(complement(converse(join(X_9,X_10)))) != complement(converse(converse(join(X_9,X_10))))
| converse(complement(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(join(X_9,X_10)))))),bind(Y,$fot(complement(converse(converse(join(X_9,X_10)))))),bind(Z,$fot(complement(join(X_9,X_10))))]]) ).
cnf(refute_0_1193,plain,
( complement(converse(converse(join(X_9,X_10)))) != complement(join(X_9,X_10))
| converse(complement(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_9,X_10)))),complement(converse(converse(join(X_9,X_10))))) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
converse(complement(converse(join(X_9,X_10)))) = complement(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_9,X_10)))),complement(join(X_9,X_10))) )],[refute_0_1190,refute_0_1193]) ).
cnf(refute_0_1195,plain,
( complement(join(X_10,X_9)) != converse(complement(converse(join(X_9,X_10))))
| converse(complement(converse(join(X_9,X_10)))) != complement(join(X_9,X_10))
| complement(join(X_10,X_9)) = complement(join(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_10,X_9)),complement(join(X_9,X_10))) ),[0],$fot(converse(complement(converse(join(X_9,X_10)))))]]) ).
cnf(refute_0_1196,plain,
( complement(join(X_10,X_9)) != converse(complement(converse(join(X_9,X_10))))
| complement(join(X_10,X_9)) = complement(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_9,X_10)))),complement(join(X_9,X_10))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( converse(complement(converse(join(X_10,X_9)))) != converse(complement(converse(join(X_9,X_10))))
| complement(join(X_10,X_9)) = complement(join(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(complement(join(X_10,X_9)),converse(complement(converse(join(X_9,X_10))))) )],[refute_0_1185,refute_0_1196]) ).
cnf(refute_0_1198,plain,
complement(join(X_10,X_9)) = complement(join(X_9,X_10)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_10,X_9)))),converse(complement(converse(join(X_9,X_10))))) )],[refute_0_1137,refute_0_1197]) ).
cnf(refute_0_1199,plain,
( complement(join(X_10,X_9)) != complement(join(X_9,X_10))
| complement(join(X_9,X_10)) = complement(join(X_10,X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(X_10,X_9)))),bind(Y,$fot(complement(join(X_9,X_10))))]]) ).
cnf(refute_0_1200,plain,
complement(join(X_9,X_10)) = complement(join(X_10,X_9)),
inference(resolve,[$cnf( $equal(complement(join(X_10,X_9)),complement(join(X_9,X_10))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
complement(join(meet(sk1,complement(C)),sk2)) = complement(join(sk2,meet(sk1,complement(C)))),
inference(subst,[],[refute_0_1200:[bind(X_10,$fot(sk2)),bind(X_9,$fot(meet(sk1,complement(C))))]]) ).
cnf(refute_0_1202,plain,
meet(join(complement(X_411),X_412),complement(X_403)) = complement(join(complement(join(complement(X_411),X_412)),X_403)),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(join(complement(X_411),X_412)))]]) ).
cnf(refute_0_1203,plain,
meet(X_411,complement(X_412)) = complement(join(complement(X_411),X_412)),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(X_411)),bind(X_403,$fot(X_412))]]) ).
cnf(refute_0_1204,plain,
( meet(X_411,complement(X_412)) != complement(join(complement(X_411),X_412))
| complement(join(complement(X_411),X_412)) = meet(X_411,complement(X_412)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_411,complement(X_412)))),bind(Y,$fot(complement(join(complement(X_411),X_412))))]]) ).
cnf(refute_0_1205,plain,
complement(join(complement(X_411),X_412)) = meet(X_411,complement(X_412)),
inference(resolve,[$cnf( $equal(meet(X_411,complement(X_412)),complement(join(complement(X_411),X_412))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( complement(join(complement(X_411),X_412)) != meet(X_411,complement(X_412))
| meet(join(complement(X_411),X_412),complement(X_403)) != complement(join(complement(join(complement(X_411),X_412)),X_403))
| meet(join(complement(X_411),X_412),complement(X_403)) = complement(join(meet(X_411,complement(X_412)),X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_411),X_412),complement(X_403)),complement(join(complement(join(complement(X_411),X_412)),X_403))) ),[1,0,0],$fot(meet(X_411,complement(X_412)))]]) ).
cnf(refute_0_1207,plain,
( meet(join(complement(X_411),X_412),complement(X_403)) != complement(join(complement(join(complement(X_411),X_412)),X_403))
| meet(join(complement(X_411),X_412),complement(X_403)) = complement(join(meet(X_411,complement(X_412)),X_403)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_411),X_412)),meet(X_411,complement(X_412))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
meet(join(complement(X_411),X_412),complement(X_403)) = complement(join(meet(X_411,complement(X_412)),X_403)),
inference(resolve,[$cnf( $equal(meet(join(complement(X_411),X_412),complement(X_403)),complement(join(complement(join(complement(X_411),X_412)),X_403))) )],[refute_0_1202,refute_0_1207]) ).
cnf(refute_0_1209,plain,
meet(join(complement(sk1),C),complement(sk2)) = complement(join(meet(sk1,complement(C)),sk2)),
inference(subst,[],[refute_0_1208:[bind(X_403,$fot(sk2)),bind(X_411,$fot(sk1)),bind(X_412,$fot(C))]]) ).
cnf(refute_0_1210,plain,
( complement(join(meet(sk1,complement(C)),sk2)) != complement(join(sk2,meet(sk1,complement(C))))
| meet(join(complement(sk1),C),complement(sk2)) != complement(join(meet(sk1,complement(C)),sk2))
| meet(join(complement(sk1),C),complement(sk2)) = complement(join(sk2,meet(sk1,complement(C)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(sk1),C),complement(sk2)))),bind(Y,$fot(complement(join(meet(sk1,complement(C)),sk2)))),bind(Z,$fot(complement(join(sk2,meet(sk1,complement(C))))))]]) ).
cnf(refute_0_1211,plain,
( complement(join(meet(sk1,complement(C)),sk2)) != complement(join(sk2,meet(sk1,complement(C))))
| meet(join(complement(sk1),C),complement(sk2)) = complement(join(sk2,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk2)),complement(join(meet(sk1,complement(C)),sk2))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
meet(join(complement(sk1),C),complement(sk2)) = complement(join(sk2,meet(sk1,complement(C)))),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,complement(C)),sk2)),complement(join(sk2,meet(sk1,complement(C))))) )],[refute_0_1201,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( complement(sk2) != meet(join(complement(sk1),C),complement(sk2))
| meet(join(complement(sk1),C),complement(sk2)) != complement(join(sk2,meet(sk1,complement(C))))
| complement(sk2) = complement(join(sk2,meet(sk1,complement(C)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),complement(join(sk2,meet(sk1,complement(C))))) ),[0],$fot(meet(join(complement(sk1),C),complement(sk2)))]]) ).
cnf(refute_0_1214,plain,
( complement(sk2) != meet(join(complement(sk1),C),complement(sk2))
| complement(sk2) = complement(join(sk2,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk2)),complement(join(sk2,meet(sk1,complement(C))))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
( meet(complement(sk2),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk2))
| complement(sk2) = complement(join(sk2,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(complement(sk2),meet(join(complement(sk1),C),complement(sk2))) )],[refute_0_1125,refute_0_1214]) ).
cnf(refute_0_1216,plain,
complement(sk2) = complement(join(sk2,meet(sk1,complement(C)))),
inference(resolve,[$cnf( $equal(meet(complement(sk2),join(complement(sk1),C)),meet(join(complement(sk1),C),complement(sk2))) )],[refute_0_1123,refute_0_1215]) ).
cnf(refute_0_1217,plain,
complement(sk2) = complement(join(sk2,meet(sk1,complement(X_463)))),
inference(subst,[],[refute_0_1216:[bind(C,$fot(X_463))]]) ).
cnf(refute_0_1218,plain,
( complement(sk2) != complement(join(sk2,meet(sk1,complement(X_463))))
| complement(join(sk2,meet(sk1,complement(X_463)))) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(complement(join(sk2,meet(sk1,complement(X_463))))))]]) ).
cnf(refute_0_1219,plain,
complement(join(sk2,meet(sk1,complement(X_463)))) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),complement(join(sk2,meet(sk1,complement(X_463))))) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( complement(join(sk2,meet(sk1,complement(X_463)))) != complement(sk2)
| join(sk2,meet(sk1,complement(X_463))) != complement(complement(join(sk2,meet(sk1,complement(X_463)))))
| join(sk2,meet(sk1,complement(X_463))) = complement(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,meet(sk1,complement(X_463))),complement(complement(join(sk2,meet(sk1,complement(X_463)))))) ),[1,0],$fot(complement(sk2))]]) ).
cnf(refute_0_1221,plain,
( join(sk2,meet(sk1,complement(X_463))) != complement(complement(join(sk2,meet(sk1,complement(X_463)))))
| join(sk2,meet(sk1,complement(X_463))) = complement(complement(sk2)) ),
inference(resolve,[$cnf( $equal(complement(join(sk2,meet(sk1,complement(X_463)))),complement(sk2)) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
join(sk2,meet(sk1,complement(X_463))) = complement(complement(sk2)),
inference(resolve,[$cnf( $equal(join(sk2,meet(sk1,complement(X_463))),complement(complement(join(sk2,meet(sk1,complement(X_463)))))) )],[refute_0_1117,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( complement(complement(sk2)) != sk2
| join(sk2,meet(sk1,complement(X_463))) != complement(complement(sk2))
| join(sk2,meet(sk1,complement(X_463))) = sk2 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,meet(sk1,complement(X_463))),complement(complement(sk2))) ),[1],$fot(sk2)]]) ).
cnf(refute_0_1224,plain,
( join(sk2,meet(sk1,complement(X_463))) != complement(complement(sk2))
| join(sk2,meet(sk1,complement(X_463))) = sk2 ),
inference(resolve,[$cnf( $equal(complement(complement(sk2)),sk2) )],[refute_0_1050,refute_0_1223]) ).
cnf(refute_0_1225,plain,
join(sk2,meet(sk1,complement(X_463))) = sk2,
inference(resolve,[$cnf( $equal(join(sk2,meet(sk1,complement(X_463))),complement(complement(sk2))) )],[refute_0_1222,refute_0_1224]) ).
cnf(refute_0_1226,plain,
join(sk2,meet(sk1,complement(complement(X_93)))) = sk2,
inference(subst,[],[refute_0_1225:[bind(X_463,$fot(complement(X_93)))]]) ).
cnf(refute_0_1227,plain,
( complement(complement(X_93)) != X_93
| join(sk2,meet(sk1,complement(complement(X_93)))) != sk2
| join(sk2,meet(sk1,X_93)) = sk2 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,meet(sk1,complement(complement(X_93)))),sk2) ),[0,1,1],$fot(X_93)]]) ).
cnf(refute_0_1228,plain,
( join(sk2,meet(sk1,complement(complement(X_93)))) != sk2
| join(sk2,meet(sk1,X_93)) = sk2 ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_1227]) ).
cnf(refute_0_1229,plain,
join(sk2,meet(sk1,X_93)) = sk2,
inference(resolve,[$cnf( $equal(join(sk2,meet(sk1,complement(complement(X_93)))),sk2) )],[refute_0_1226,refute_0_1228]) ).
cnf(refute_0_1230,plain,
join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk2,
inference(subst,[],[refute_0_1229:[bind(X_93,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1231,plain,
complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1232,plain,
( complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk2
| complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_1233,plain,
( join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk2
| complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2) ),
inference(resolve,[$cnf( $equal(complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1231,refute_0_1232]) ).
cnf(refute_0_1234,plain,
complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2),
inference(resolve,[$cnf( $equal(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),sk2) )],[refute_0_1230,refute_0_1233]) ).
cnf(refute_0_1235,plain,
meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),bind(X_93,$fot(sk2))]]) ).
cnf(refute_0_1236,plain,
( complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(sk2)
| meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))),bind(Y,$fot(complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))),bind(Z,$fot(complement(sk2)))]]) ).
cnf(refute_0_1237,plain,
( complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(sk2)
| meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(join(sk2,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(sk2)) )],[refute_0_1234,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
introduced(tautology,[refl,[$fot(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1240,plain,
( join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(sk2)
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk2,complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) ),[1,1],$fot(complement(sk2))]]) ).
cnf(refute_0_1241,plain,
( meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(sk2)
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk2,complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk2,complement(sk2)),
inference(resolve,[$cnf( $equal(meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(sk2)) )],[refute_0_1238,refute_0_1241]) ).
cnf(refute_0_1243,plain,
( join(sk2,complement(sk2)) != top
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(sk2,complement(sk2))
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))),bind(Y,$fot(join(sk2,complement(sk2)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1244,plain,
( join(sk2,complement(sk2)) != top
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = top ),
inference(resolve,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk2,complement(sk2))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = top,
inference(resolve,[$cnf( $equal(join(sk2,complement(sk2)),top) )],[refute_0_507,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != top
| complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),top) ),[0],$fot(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1247,plain,
( complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = top ),
inference(resolve,[$cnf( $equal(join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),top) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = top,
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),join(sk2,meet(complement(sk2),complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_1116,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != top
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != complement(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1250,plain,
( meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != complement(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),top) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(complement(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_416,refute_0_1250]) ).
cnf(refute_0_1252,plain,
( complement(top) != zero
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != complement(top)
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1253,plain,
( meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != complement(top)
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1252]) ).
cnf(refute_0_1254,plain,
meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(top)) )],[refute_0_1251,refute_0_1253]) ).
cnf(refute_0_1255,plain,
complement(join(sk1,sk2)) = complement(join(sk1,sk2)),
introduced(tautology,[refl,[$fot(complement(join(sk1,sk2)))]]) ).
cnf(refute_0_1256,plain,
( complement(join(sk1,sk2)) != complement(join(sk1,sk2))
| join(sk1,sk2) != sk2
| complement(join(sk1,sk2)) = complement(sk2) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,sk2)),complement(join(sk1,sk2))) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_1257,plain,
( join(sk1,sk2) != sk2
| complement(join(sk1,sk2)) = complement(sk2) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,sk2)),complement(join(sk1,sk2))) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
complement(join(sk1,sk2)) = complement(sk2),
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[goals_14,refute_0_1257]) ).
cnf(refute_0_1259,plain,
meet(sk3,complement(join(sk1,sk2))) = meet(sk3,complement(join(sk1,sk2))),
introduced(tautology,[refl,[$fot(meet(sk3,complement(join(sk1,sk2))))]]) ).
cnf(refute_0_1260,plain,
( complement(join(sk1,sk2)) != complement(sk2)
| meet(sk3,complement(join(sk1,sk2))) != meet(sk3,complement(join(sk1,sk2)))
| meet(sk3,complement(join(sk1,sk2))) = meet(sk3,complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(join(sk1,sk2))),meet(sk3,complement(join(sk1,sk2)))) ),[1,1],$fot(complement(sk2))]]) ).
cnf(refute_0_1261,plain,
( complement(join(sk1,sk2)) != complement(sk2)
| meet(sk3,complement(join(sk1,sk2))) = meet(sk3,complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(join(sk1,sk2))),meet(sk3,complement(join(sk1,sk2)))) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
meet(sk3,complement(join(sk1,sk2))) = meet(sk3,complement(sk2)),
inference(resolve,[$cnf( $equal(complement(join(sk1,sk2)),complement(sk2)) )],[refute_0_1258,refute_0_1261]) ).
cnf(refute_0_1263,plain,
meet(X_411,complement(join(X_6,X_8))) = complement(join(complement(X_411),join(X_6,X_8))),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(X_411)),bind(X_403,$fot(join(X_6,X_8)))]]) ).
cnf(refute_0_1264,plain,
join(X_6,join(complement(X_411),X_8)) = join(complement(X_411),join(X_6,X_8)),
inference(subst,[],[refute_0_375:[bind(X_7,$fot(complement(X_411)))]]) ).
cnf(refute_0_1265,plain,
( join(X_6,join(complement(X_411),X_8)) != join(complement(X_411),join(X_6,X_8))
| join(complement(X_411),join(X_6,X_8)) = join(X_6,join(complement(X_411),X_8)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(complement(X_411),X_8)))),bind(Y,$fot(join(complement(X_411),join(X_6,X_8))))]]) ).
cnf(refute_0_1266,plain,
join(complement(X_411),join(X_6,X_8)) = join(X_6,join(complement(X_411),X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_411),X_8)),join(complement(X_411),join(X_6,X_8))) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
( join(complement(X_411),join(X_6,X_8)) != join(X_6,join(complement(X_411),X_8))
| meet(X_411,complement(join(X_6,X_8))) != complement(join(complement(X_411),join(X_6,X_8)))
| meet(X_411,complement(join(X_6,X_8))) = complement(join(X_6,join(complement(X_411),X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_6,X_8))),complement(join(complement(X_411),join(X_6,X_8)))) ),[1,0],$fot(join(X_6,join(complement(X_411),X_8)))]]) ).
cnf(refute_0_1268,plain,
( meet(X_411,complement(join(X_6,X_8))) != complement(join(complement(X_411),join(X_6,X_8)))
| meet(X_411,complement(join(X_6,X_8))) = complement(join(X_6,join(complement(X_411),X_8))) ),
inference(resolve,[$cnf( $equal(join(complement(X_411),join(X_6,X_8)),join(X_6,join(complement(X_411),X_8))) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
meet(X_411,complement(join(X_6,X_8))) = complement(join(X_6,join(complement(X_411),X_8))),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_6,X_8))),complement(join(complement(X_411),join(X_6,X_8)))) )],[refute_0_1263,refute_0_1268]) ).
cnf(refute_0_1270,plain,
complement(join(X_6,join(complement(X_411),X_8))) = meet(X_411,complement(join(X_8,X_6))),
inference(subst,[],[refute_0_599:[bind(A,$fot(X_6)),bind(X_378,$fot(X_411)),bind(X_7,$fot(X_8))]]) ).
cnf(refute_0_1271,plain,
( complement(join(X_6,join(complement(X_411),X_8))) != meet(X_411,complement(join(X_8,X_6)))
| meet(X_411,complement(join(X_6,X_8))) != complement(join(X_6,join(complement(X_411),X_8)))
| meet(X_411,complement(join(X_6,X_8))) = meet(X_411,complement(join(X_8,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_6,X_8))),complement(join(X_6,join(complement(X_411),X_8)))) ),[1],$fot(meet(X_411,complement(join(X_8,X_6))))]]) ).
cnf(refute_0_1272,plain,
( meet(X_411,complement(join(X_6,X_8))) != complement(join(X_6,join(complement(X_411),X_8)))
| meet(X_411,complement(join(X_6,X_8))) = meet(X_411,complement(join(X_8,X_6))) ),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(complement(X_411),X_8))),meet(X_411,complement(join(X_8,X_6)))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
meet(X_411,complement(join(X_6,X_8))) = meet(X_411,complement(join(X_8,X_6))),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_6,X_8))),complement(join(X_6,join(complement(X_411),X_8)))) )],[refute_0_1269,refute_0_1272]) ).
cnf(refute_0_1274,plain,
( meet(X_411,complement(join(X_6,X_8))) != meet(X_411,complement(join(X_8,X_6)))
| meet(X_411,complement(join(X_8,X_6))) = meet(X_411,complement(join(X_6,X_8))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_411,complement(join(X_6,X_8))))),bind(Y,$fot(meet(X_411,complement(join(X_8,X_6)))))]]) ).
cnf(refute_0_1275,plain,
meet(X_411,complement(join(X_8,X_6))) = meet(X_411,complement(join(X_6,X_8))),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_6,X_8))),meet(X_411,complement(join(X_8,X_6)))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
meet(sk3,complement(join(sk2,sk1))) = meet(sk3,complement(join(sk1,sk2))),
inference(subst,[],[refute_0_1275:[bind(X_411,$fot(sk3)),bind(X_6,$fot(sk1)),bind(X_8,$fot(sk2))]]) ).
cnf(refute_0_1277,plain,
meet(meet(sk3,complement(sk1)),complement(X_412)) = complement(join(complement(meet(sk3,complement(sk1))),X_412)),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(meet(sk3,complement(sk1)))),bind(X_403,$fot(X_412))]]) ).
cnf(refute_0_1278,plain,
join(X_128,complement(X_127)) = join(complement(X_127),X_128),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_128)),bind(B,$fot(complement(X_127)))]]) ).
cnf(refute_0_1279,plain,
( join(X_128,complement(X_127)) != join(complement(X_127),X_128)
| join(complement(X_127),X_128) = join(X_128,complement(X_127)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_128,complement(X_127)))),bind(Y,$fot(join(complement(X_127),X_128)))]]) ).
cnf(refute_0_1280,plain,
join(complement(X_127),X_128) = join(X_128,complement(X_127)),
inference(resolve,[$cnf( $equal(join(X_128,complement(X_127)),join(complement(X_127),X_128)) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
( X_127 != join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))
| join(complement(X_127),X_128) != join(X_128,complement(X_127))
| X_127 = join(meet(X_128,X_127),complement(join(X_128,complement(X_127)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_127,join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))) ),[1,1,0],$fot(join(X_128,complement(X_127)))]]) ).
cnf(refute_0_1282,plain,
( X_127 != join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))
| X_127 = join(meet(X_128,X_127),complement(join(X_128,complement(X_127)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_127),X_128),join(X_128,complement(X_127))) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
X_127 = join(meet(X_128,X_127),complement(join(X_128,complement(X_127)))),
inference(resolve,[$cnf( $equal(X_127,join(meet(X_128,X_127),complement(join(complement(X_127),X_128)))) )],[refute_0_721,refute_0_1282]) ).
cnf(refute_0_1284,plain,
join(sk1,complement(sk3)) = join(meet(complement(sk1),join(sk1,complement(sk3))),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_1283:[bind(X_127,$fot(join(sk1,complement(sk3)))),bind(X_128,$fot(complement(sk1)))]]) ).
cnf(refute_0_1285,plain,
meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1286,plain,
sk3 = join(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(sk3)),bind(B,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1287,plain,
complement(join(sk1,complement(sk3))) = meet(complement(join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(sk3))))),
inference(subst,[],[refute_0_570:[bind(X_17,$fot(sk1)),bind(X_93,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1288,plain,
sk3 = join(meet(sk1,sk3),complement(join(complement(sk3),sk1))),
inference(subst,[],[refute_0_255:[bind(X_93,$fot(sk3)),bind(X_94,$fot(sk1))]]) ).
cnf(refute_0_1289,plain,
sk1 = meet(sk1,join(sk1,sk3)),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(sk3)),bind(X_118,$fot(sk1))]]) ).
cnf(refute_0_1290,plain,
( join(sk1,sk3) != sk3
| sk1 != meet(sk1,join(sk1,sk3))
| sk1 = meet(sk1,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk1,sk3))) ),[1,1],$fot(sk3)]]) ).
cnf(refute_0_1291,plain,
( sk1 != meet(sk1,join(sk1,sk3))
| sk1 = meet(sk1,sk3) ),
inference(resolve,[$cnf( $equal(join(sk1,sk3),sk3) )],[goals_15,refute_0_1290]) ).
cnf(refute_0_1292,plain,
sk1 = meet(sk1,sk3),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk1,sk3))) )],[refute_0_1289,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( sk1 != meet(sk1,sk3)
| meet(sk1,sk3) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,sk3)))]]) ).
cnf(refute_0_1294,plain,
meet(sk1,sk3) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,sk3)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( meet(sk1,sk3) != sk1
| sk3 != join(meet(sk1,sk3),complement(join(complement(sk3),sk1)))
| sk3 = join(sk1,complement(join(complement(sk3),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(meet(sk1,sk3),complement(join(complement(sk3),sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1296,plain,
( sk3 != join(meet(sk1,sk3),complement(join(complement(sk3),sk1)))
| sk3 = join(sk1,complement(join(complement(sk3),sk1))) ),
inference(resolve,[$cnf( $equal(meet(sk1,sk3),sk1) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
sk3 = join(sk1,complement(join(complement(sk3),sk1))),
inference(resolve,[$cnf( $equal(sk3,join(meet(sk1,sk3),complement(join(complement(sk3),sk1)))) )],[refute_0_1288,refute_0_1296]) ).
cnf(refute_0_1298,plain,
join(complement(sk3),sk1) = join(sk1,complement(sk3)),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk3)))]]) ).
cnf(refute_0_1299,plain,
complement(join(complement(sk3),sk1)) = complement(join(complement(sk3),sk1)),
introduced(tautology,[refl,[$fot(complement(join(complement(sk3),sk1)))]]) ).
cnf(refute_0_1300,plain,
( complement(join(complement(sk3),sk1)) != complement(join(complement(sk3),sk1))
| join(complement(sk3),sk1) != join(sk1,complement(sk3))
| complement(join(complement(sk3),sk1)) = complement(join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk3),sk1)),complement(join(complement(sk3),sk1))) ),[1,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1301,plain,
( join(complement(sk3),sk1) != join(sk1,complement(sk3))
| complement(join(complement(sk3),sk1)) = complement(join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(sk3),sk1)),complement(join(complement(sk3),sk1))) )],[refute_0_1299,refute_0_1300]) ).
cnf(refute_0_1302,plain,
complement(join(complement(sk3),sk1)) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(join(complement(sk3),sk1),join(sk1,complement(sk3))) )],[refute_0_1298,refute_0_1301]) ).
cnf(refute_0_1303,plain,
join(sk1,complement(join(complement(sk3),sk1))) = join(sk1,complement(join(complement(sk3),sk1))),
introduced(tautology,[refl,[$fot(join(sk1,complement(join(complement(sk3),sk1))))]]) ).
cnf(refute_0_1304,plain,
( complement(join(complement(sk3),sk1)) != complement(join(sk1,complement(sk3)))
| join(sk1,complement(join(complement(sk3),sk1))) != join(sk1,complement(join(complement(sk3),sk1)))
| join(sk1,complement(join(complement(sk3),sk1))) = join(sk1,complement(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(join(complement(sk3),sk1))),join(sk1,complement(join(complement(sk3),sk1)))) ),[1,1],$fot(complement(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1305,plain,
( complement(join(complement(sk3),sk1)) != complement(join(sk1,complement(sk3)))
| join(sk1,complement(join(complement(sk3),sk1))) = join(sk1,complement(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(sk3),sk1))),join(sk1,complement(join(complement(sk3),sk1)))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
join(sk1,complement(join(complement(sk3),sk1))) = join(sk1,complement(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk3),sk1)),complement(join(sk1,complement(sk3)))) )],[refute_0_1302,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( join(sk1,complement(join(complement(sk3),sk1))) != join(sk1,complement(join(sk1,complement(sk3))))
| sk3 != join(sk1,complement(join(complement(sk3),sk1)))
| sk3 = join(sk1,complement(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(sk1,complement(join(complement(sk3),sk1)))) ),[1],$fot(join(sk1,complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1308,plain,
( sk3 != join(sk1,complement(join(complement(sk3),sk1)))
| sk3 = join(sk1,complement(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(sk3),sk1))),join(sk1,complement(join(sk1,complement(sk3))))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
sk3 = join(sk1,complement(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(sk3,join(sk1,complement(join(complement(sk3),sk1)))) )],[refute_0_1297,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( sk3 != join(sk1,complement(join(sk1,complement(sk3))))
| join(sk1,complement(join(sk1,complement(sk3)))) = sk3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(join(sk1,complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1311,plain,
join(sk1,complement(join(sk1,complement(sk3)))) = sk3,
inference(resolve,[$cnf( $equal(sk3,join(sk1,complement(join(sk1,complement(sk3))))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
( complement(join(sk1,complement(sk3))) != meet(complement(join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(sk3)))))
| join(sk1,complement(join(sk1,complement(sk3)))) != sk3
| complement(join(sk1,complement(sk3))) = meet(complement(join(sk1,complement(sk3))),sk3) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(complement(join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(sk3)))))) ),[1,1],$fot(sk3)]]) ).
cnf(refute_0_1313,plain,
( complement(join(sk1,complement(sk3))) != meet(complement(join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(sk3)))))
| complement(join(sk1,complement(sk3))) = meet(complement(join(sk1,complement(sk3))),sk3) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(sk3)))),sk3) )],[refute_0_1311,refute_0_1312]) ).
cnf(refute_0_1314,plain,
complement(join(sk1,complement(sk3))) = meet(complement(join(sk1,complement(sk3))),sk3),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(complement(join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(sk3)))))) )],[refute_0_1287,refute_0_1313]) ).
cnf(refute_0_1315,plain,
meet(complement(join(sk1,complement(sk3))),sk3) = meet(sk3,complement(join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(sk3)),bind(X_35,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1316,plain,
( complement(join(sk1,complement(sk3))) != meet(complement(join(sk1,complement(sk3))),sk3)
| meet(complement(join(sk1,complement(sk3))),sk3) != meet(sk3,complement(join(sk1,complement(sk3))))
| complement(join(sk1,complement(sk3))) = meet(sk3,complement(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(sk1,complement(sk3))),meet(sk3,complement(join(sk1,complement(sk3))))) ),[0],$fot(meet(complement(join(sk1,complement(sk3))),sk3))]]) ).
cnf(refute_0_1317,plain,
( complement(join(sk1,complement(sk3))) != meet(complement(join(sk1,complement(sk3))),sk3)
| complement(join(sk1,complement(sk3))) = meet(sk3,complement(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(sk3))),sk3),meet(sk3,complement(join(sk1,complement(sk3))))) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
complement(join(sk1,complement(sk3))) = meet(sk3,complement(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(complement(join(sk1,complement(sk3))),sk3)) )],[refute_0_1314,refute_0_1317]) ).
cnf(refute_0_1319,plain,
( complement(join(sk1,complement(sk3))) != meet(sk3,complement(join(sk1,complement(sk3))))
| meet(sk3,complement(join(sk1,complement(sk3)))) = complement(join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(sk1,complement(sk3))))),bind(Y,$fot(meet(sk3,complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1320,plain,
meet(sk3,complement(join(sk1,complement(sk3)))) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(sk3,complement(join(sk1,complement(sk3))))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
( meet(sk3,complement(join(sk1,complement(sk3)))) != complement(join(sk1,complement(sk3)))
| sk3 != join(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))) ),[1,0],$fot(complement(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1322,plain,
( sk3 != join(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(sk1,complement(sk3)))) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
sk3 = join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(sk3,join(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))) )],[refute_0_1286,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(complement(sk3),complement(join(sk1,complement(sk3)))) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_454:[bind(A,$fot(sk3)),bind(B,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1325,plain,
meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1326,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) != meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))
| meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) ),[1,1],$fot(complement(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1327,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(sk1,complement(sk3)))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1324,refute_0_1327]) ).
cnf(refute_0_1329,plain,
complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1330,plain,
( complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) != complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))
| meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) != meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))
| complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))),complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))) ),[1,0],$fot(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1331,plain,
( meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))) != meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))
| complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))),complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1328,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(join(sk1,complement(sk3)))),bind(B,$fot(join(complement(sk3),complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1334,plain,
( complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) != complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))
| join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) != complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))
| join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))))),bind(Y,$fot(complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))))),bind(Z,$fot(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1335,plain,
( complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))) != complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))
| join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))),complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3))))))) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(complement(sk3),complement(join(sk1,complement(sk3)))))),complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1332,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))) != complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))
| sk3 != join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))
| sk3 = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))) ),[1],$fot(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1338,plain,
( sk3 != join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))
| sk3 = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3)))))),complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
sk3 = complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(sk3,join(complement(join(sk1,complement(sk3))),complement(join(complement(sk3),complement(join(sk1,complement(sk3))))))) )],[refute_0_1323,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( sk3 != complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))
| complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) = sk3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1341,plain,
complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) = sk3,
inference(resolve,[$cnf( $equal(sk3,complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
( complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) != sk3
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(sk3) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,0],$fot(sk3)]]) ).
cnf(refute_0_1343,plain,
( meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(sk3) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))),sk3) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(sk3),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(complement(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1285,refute_0_1343]) ).
cnf(refute_0_1345,plain,
meet(join(sk1,complement(sk3)),complement(sk1)) = meet(complement(sk1),join(sk1,complement(sk3))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1346,plain,
complement(sk1) = join(complement(join(sk1,complement(join(sk1,complement(sk3))))),meet(complement(join(sk1,complement(sk3))),complement(sk1))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(complement(join(sk1,complement(sk3))))),bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_1347,plain,
( complement(sk1) != join(complement(join(sk1,complement(join(sk1,complement(sk3))))),meet(complement(join(sk1,complement(sk3))),complement(sk1)))
| join(sk1,complement(join(sk1,complement(sk3)))) != sk3
| complement(sk1) = join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(complement(join(sk1,complement(join(sk1,complement(sk3))))),meet(complement(join(sk1,complement(sk3))),complement(sk1)))) ),[1,0,0],$fot(sk3)]]) ).
cnf(refute_0_1348,plain,
( complement(sk1) != join(complement(join(sk1,complement(join(sk1,complement(sk3))))),meet(complement(join(sk1,complement(sk3))),complement(sk1)))
| complement(sk1) = join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(sk3)))),sk3) )],[refute_0_1311,refute_0_1347]) ).
cnf(refute_0_1349,plain,
complement(sk1) = join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(join(sk1,complement(join(sk1,complement(sk3))))),meet(complement(join(sk1,complement(sk3))),complement(sk1)))) )],[refute_0_1346,refute_0_1348]) ).
cnf(refute_0_1350,plain,
complement(join(X_255,X_254)) = meet(complement(join(X_255,X_254)),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255)))),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(meet(X_254,complement(X_255)))),bind(X_118,$fot(complement(join(X_255,X_254))))]]) ).
cnf(refute_0_1351,plain,
complement(X_255) = join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(X_254)),bind(X_93,$fot(X_255))]]) ).
cnf(refute_0_1352,plain,
( complement(X_255) != join(complement(join(X_255,X_254)),meet(X_254,complement(X_255)))
| join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))) = complement(X_255) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_255))),bind(Y,$fot(join(complement(join(X_255,X_254)),meet(X_254,complement(X_255)))))]]) ).
cnf(refute_0_1353,plain,
join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))) = complement(X_255),
inference(resolve,[$cnf( $equal(complement(X_255),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255)))) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
( complement(join(X_255,X_254)) != meet(complement(join(X_255,X_254)),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))))
| join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))) != complement(X_255)
| complement(join(X_255,X_254)) = meet(complement(join(X_255,X_254)),complement(X_255)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_255,X_254)),meet(complement(join(X_255,X_254)),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))))) ),[1,1],$fot(complement(X_255))]]) ).
cnf(refute_0_1355,plain,
( complement(join(X_255,X_254)) != meet(complement(join(X_255,X_254)),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))))
| complement(join(X_255,X_254)) = meet(complement(join(X_255,X_254)),complement(X_255)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))),complement(X_255)) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
complement(join(X_255,X_254)) = meet(complement(join(X_255,X_254)),complement(X_255)),
inference(resolve,[$cnf( $equal(complement(join(X_255,X_254)),meet(complement(join(X_255,X_254)),join(complement(join(X_255,X_254)),meet(X_254,complement(X_255))))) )],[refute_0_1350,refute_0_1355]) ).
cnf(refute_0_1357,plain,
meet(complement(join(X_255,X_254)),complement(X_255)) = meet(complement(X_255),complement(join(X_255,X_254))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(X_255))),bind(X_35,$fot(complement(join(X_255,X_254))))]]) ).
cnf(refute_0_1358,plain,
( complement(join(X_255,X_254)) != meet(complement(join(X_255,X_254)),complement(X_255))
| meet(complement(join(X_255,X_254)),complement(X_255)) != meet(complement(X_255),complement(join(X_255,X_254)))
| complement(join(X_255,X_254)) = meet(complement(X_255),complement(join(X_255,X_254))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_255,X_254)),meet(complement(X_255),complement(join(X_255,X_254)))) ),[0],$fot(meet(complement(join(X_255,X_254)),complement(X_255)))]]) ).
cnf(refute_0_1359,plain,
( complement(join(X_255,X_254)) != meet(complement(join(X_255,X_254)),complement(X_255))
| complement(join(X_255,X_254)) = meet(complement(X_255),complement(join(X_255,X_254))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_255,X_254)),complement(X_255)),meet(complement(X_255),complement(join(X_255,X_254)))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
complement(join(X_255,X_254)) = meet(complement(X_255),complement(join(X_255,X_254))),
inference(resolve,[$cnf( $equal(complement(join(X_255,X_254)),meet(complement(join(X_255,X_254)),complement(X_255))) )],[refute_0_1356,refute_0_1359]) ).
cnf(refute_0_1361,plain,
( complement(join(X_255,X_254)) != meet(complement(X_255),complement(join(X_255,X_254)))
| meet(complement(X_255),complement(join(X_255,X_254))) = complement(join(X_255,X_254)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(X_255,X_254)))),bind(Y,$fot(meet(complement(X_255),complement(join(X_255,X_254)))))]]) ).
cnf(refute_0_1362,plain,
meet(complement(X_255),complement(join(X_255,X_254))) = complement(join(X_255,X_254)),
inference(resolve,[$cnf( $equal(complement(join(X_255,X_254)),meet(complement(X_255),complement(join(X_255,X_254)))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
meet(complement(sk1),complement(join(sk1,complement(sk3)))) = complement(join(sk1,complement(sk3))),
inference(subst,[],[refute_0_1362:[bind(X_254,$fot(complement(sk3))),bind(X_255,$fot(sk1))]]) ).
cnf(refute_0_1364,plain,
meet(complement(join(sk1,complement(sk3))),complement(sk1)) = meet(complement(sk1),complement(join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1365,plain,
( meet(complement(join(sk1,complement(sk3))),complement(sk1)) != meet(complement(sk1),complement(join(sk1,complement(sk3))))
| meet(complement(sk1),complement(join(sk1,complement(sk3)))) != complement(join(sk1,complement(sk3)))
| meet(complement(join(sk1,complement(sk3))),complement(sk1)) = complement(join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(sk1,complement(sk3))),complement(sk1)))),bind(Y,$fot(meet(complement(sk1),complement(join(sk1,complement(sk3)))))),bind(Z,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1366,plain,
( meet(complement(sk1),complement(join(sk1,complement(sk3)))) != complement(join(sk1,complement(sk3)))
| meet(complement(join(sk1,complement(sk3))),complement(sk1)) = complement(join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(sk3))),complement(sk1)),meet(complement(sk1),complement(join(sk1,complement(sk3))))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
meet(complement(join(sk1,complement(sk3))),complement(sk1)) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(join(sk1,complement(sk3)))),complement(join(sk1,complement(sk3)))) )],[refute_0_1363,refute_0_1366]) ).
cnf(refute_0_1368,plain,
join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))))]]) ).
cnf(refute_0_1369,plain,
( join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) != join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))
| meet(complement(join(sk1,complement(sk3))),complement(sk1)) != complement(join(sk1,complement(sk3)))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = join(complement(sk3),complement(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))) ),[1,1],$fot(complement(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1370,plain,
( meet(complement(join(sk1,complement(sk3))),complement(sk1)) != complement(join(sk1,complement(sk3)))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = join(complement(sk3),complement(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = join(complement(sk3),complement(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(sk3))),complement(sk1)),complement(join(sk1,complement(sk3)))) )],[refute_0_1367,refute_0_1370]) ).
cnf(refute_0_1372,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) != join(complement(sk3),complement(join(sk1,complement(sk3))))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))))),bind(Y,$fot(join(complement(sk3),complement(join(sk1,complement(sk3)))))),bind(Z,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1373,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),join(complement(sk3),complement(join(sk1,complement(sk3))))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(sk1,complement(sk3)))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1324,refute_0_1373]) ).
cnf(refute_0_1375,plain,
( complement(sk1) != join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))
| join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))) != complement(meet(sk3,join(sk1,complement(sk3))))
| complement(sk1) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),complement(meet(sk3,join(sk1,complement(sk3))))) ),[0],$fot(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))))]]) ).
cnf(refute_0_1376,plain,
( complement(sk1) != join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))
| complement(sk1) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
complement(sk1) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(sk3),meet(complement(join(sk1,complement(sk3))),complement(sk1)))) )],[refute_0_1349,refute_0_1376]) ).
cnf(refute_0_1378,plain,
( complement(sk1) != complement(meet(sk3,join(sk1,complement(sk3))))
| complement(meet(sk3,join(sk1,complement(sk3)))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1379,plain,
complement(meet(sk3,join(sk1,complement(sk3)))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1381,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1382,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(join(sk1,complement(sk3)),complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(sk1,complement(sk3)))),complement(sk1)) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != meet(join(sk1,complement(sk3)),complement(sk1))
| meet(join(sk1,complement(sk3)),complement(sk1)) != meet(complement(sk1),join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(complement(sk1),join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))))),bind(Y,$fot(meet(join(sk1,complement(sk3)),complement(sk1)))),bind(Z,$fot(meet(complement(sk1),join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1385,plain,
( meet(join(sk1,complement(sk3)),complement(sk1)) != meet(complement(sk1),join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(complement(sk1),join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(sk1))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) = meet(complement(sk1),join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(sk1)),meet(complement(sk1),join(sk1,complement(sk3)))) )],[refute_0_1345,refute_0_1385]) ).
cnf(refute_0_1387,plain,
( meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(sk3)
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != meet(complement(sk1),join(sk1,complement(sk3)))
| meet(complement(sk1),join(sk1,complement(sk3))) = complement(sk3) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(sk3)) ),[0],$fot(meet(complement(sk1),join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1388,plain,
( meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(sk3)
| meet(complement(sk1),join(sk1,complement(sk3))) = complement(sk3) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(complement(sk1),join(sk1,complement(sk3)))) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
meet(complement(sk1),join(sk1,complement(sk3))) = complement(sk3),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(sk3)) )],[refute_0_1344,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( join(sk1,complement(sk3)) != join(meet(complement(sk1),join(sk1,complement(sk3))),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))
| meet(complement(sk1),join(sk1,complement(sk3))) != complement(sk3)
| join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(complement(sk1),join(sk1,complement(sk3))),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_1391,plain,
( join(sk1,complement(sk3)) != join(meet(complement(sk1),join(sk1,complement(sk3))),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))
| join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(sk1,complement(sk3))),complement(sk3)) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(complement(sk1),join(sk1,complement(sk3))),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))) )],[refute_0_1284,refute_0_1391]) ).
cnf(refute_0_1393,plain,
( X_118 != meet(X_118,join(X_118,X_117))
| meet(X_118,join(X_118,X_117)) = X_118 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_118)),bind(Y,$fot(meet(X_118,join(X_118,X_117))))]]) ).
cnf(refute_0_1394,plain,
meet(X_118,join(X_118,X_117)) = X_118,
inference(resolve,[$cnf( $equal(X_118,meet(X_118,join(X_118,X_117))) )],[refute_0_719,refute_0_1393]) ).
cnf(refute_0_1395,plain,
meet(sk1,join(sk1,complement(sk3))) = sk1,
inference(subst,[],[refute_0_1394:[bind(X_117,$fot(complement(sk3))),bind(X_118,$fot(sk1))]]) ).
cnf(refute_0_1396,plain,
complement(meet(sk1,join(sk1,complement(sk3)))) = complement(meet(sk1,join(sk1,complement(sk3)))),
introduced(tautology,[refl,[$fot(complement(meet(sk1,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1397,plain,
( complement(meet(sk1,join(sk1,complement(sk3)))) != complement(meet(sk1,join(sk1,complement(sk3))))
| meet(sk1,join(sk1,complement(sk3))) != sk1
| complement(meet(sk1,join(sk1,complement(sk3)))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,join(sk1,complement(sk3)))),complement(meet(sk1,join(sk1,complement(sk3))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1398,plain,
( meet(sk1,join(sk1,complement(sk3))) != sk1
| complement(meet(sk1,join(sk1,complement(sk3)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,join(sk1,complement(sk3)))),complement(meet(sk1,join(sk1,complement(sk3))))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
complement(meet(sk1,join(sk1,complement(sk3)))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,join(sk1,complement(sk3))),sk1) )],[refute_0_1395,refute_0_1398]) ).
cnf(refute_0_1400,plain,
join(complement(sk1),complement(join(sk1,complement(sk3)))) = complement(meet(sk1,join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_454:[bind(A,$fot(sk1)),bind(B,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1401,plain,
( complement(meet(sk1,join(sk1,complement(sk3)))) != complement(sk1)
| join(complement(sk1),complement(join(sk1,complement(sk3)))) != complement(meet(sk1,join(sk1,complement(sk3))))
| join(complement(sk1),complement(join(sk1,complement(sk3)))) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),complement(join(sk1,complement(sk3)))))),bind(Y,$fot(complement(meet(sk1,join(sk1,complement(sk3)))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_1402,plain,
( complement(meet(sk1,join(sk1,complement(sk3)))) != complement(sk1)
| join(complement(sk1),complement(join(sk1,complement(sk3)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(join(sk1,complement(sk3)))),complement(meet(sk1,join(sk1,complement(sk3))))) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
join(complement(sk1),complement(join(sk1,complement(sk3)))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(meet(sk1,join(sk1,complement(sk3)))),complement(sk1)) )],[refute_0_1399,refute_0_1402]) ).
cnf(refute_0_1404,plain,
meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) = meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1405,plain,
( join(complement(sk1),complement(join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) != meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))
| meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))),meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1406,plain,
( join(complement(sk1),complement(join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))),meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(join(sk1,complement(sk3)))),complement(sk1)) )],[refute_0_1403,refute_0_1406]) ).
cnf(refute_0_1408,plain,
complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1409,plain,
( complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) != complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))
| meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) != meet(sk3,complement(sk1))
| complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))),complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))) ),[1,0],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_1410,plain,
( meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))) != meet(sk3,complement(sk1))
| complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))),complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))),meet(sk3,complement(sk1))) )],[refute_0_1407,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(sk3)),bind(B,$fot(join(complement(sk1),complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1413,plain,
( complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) != complement(meet(sk3,complement(sk1)))
| join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) != complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))
| join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))))),bind(Y,$fot(complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))))),bind(Z,$fot(complement(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_1414,plain,
( complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))) != complement(meet(sk3,complement(sk1)))
| join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))),complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3))))))) )],[refute_0_1412,refute_0_1413]) ).
cnf(refute_0_1415,plain,
join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) = complement(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(complement(sk1),complement(join(sk1,complement(sk3)))))),complement(meet(sk3,complement(sk1)))) )],[refute_0_1411,refute_0_1414]) ).
cnf(refute_0_1416,plain,
( join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))) != complement(meet(sk3,complement(sk1)))
| join(sk1,complement(sk3)) != join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))
| join(sk1,complement(sk3)) = complement(meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))) ),[1],$fot(complement(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_1417,plain,
( join(sk1,complement(sk3)) != join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))
| join(sk1,complement(sk3)) = complement(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3)))))),complement(meet(sk3,complement(sk1)))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
join(sk1,complement(sk3)) = complement(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),complement(join(complement(sk1),complement(join(sk1,complement(sk3))))))) )],[refute_0_1392,refute_0_1417]) ).
cnf(refute_0_1419,plain,
( join(sk1,complement(sk3)) != complement(meet(sk3,complement(sk1)))
| complement(meet(sk3,complement(sk1))) = join(sk1,complement(sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(sk3)))),bind(Y,$fot(complement(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_1420,plain,
complement(meet(sk3,complement(sk1))) = join(sk1,complement(sk3)),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),complement(meet(sk3,complement(sk1)))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
( complement(meet(sk3,complement(sk1))) != join(sk1,complement(sk3))
| meet(meet(sk3,complement(sk1)),complement(X_412)) != complement(join(complement(meet(sk3,complement(sk1))),X_412))
| meet(meet(sk3,complement(sk1)),complement(X_412)) = complement(join(join(sk1,complement(sk3)),X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),complement(join(complement(meet(sk3,complement(sk1))),X_412))) ),[1,0,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1422,plain,
( meet(meet(sk3,complement(sk1)),complement(X_412)) != complement(join(complement(meet(sk3,complement(sk1))),X_412))
| meet(meet(sk3,complement(sk1)),complement(X_412)) = complement(join(join(sk1,complement(sk3)),X_412)) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,complement(sk1))),join(sk1,complement(sk3))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
meet(meet(sk3,complement(sk1)),complement(X_412)) = complement(join(join(sk1,complement(sk3)),X_412)),
inference(resolve,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),complement(join(complement(meet(sk3,complement(sk1))),X_412))) )],[refute_0_1277,refute_0_1422]) ).
cnf(refute_0_1424,plain,
meet(complement(X_412),sk3) = meet(sk3,complement(X_412)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(sk3)),bind(X_35,$fot(complement(X_412)))]]) ).
cnf(refute_0_1425,plain,
meet(complement(sk1),meet(complement(X_412),sk3)) = meet(complement(sk1),meet(complement(X_412),sk3)),
introduced(tautology,[refl,[$fot(meet(complement(sk1),meet(complement(X_412),sk3)))]]) ).
cnf(refute_0_1426,plain,
( meet(complement(X_412),sk3) != meet(sk3,complement(X_412))
| meet(complement(sk1),meet(complement(X_412),sk3)) != meet(complement(sk1),meet(complement(X_412),sk3))
| meet(complement(sk1),meet(complement(X_412),sk3)) = meet(complement(sk1),meet(sk3,complement(X_412))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(complement(X_412),sk3)),meet(complement(sk1),meet(complement(X_412),sk3))) ),[1,1],$fot(meet(sk3,complement(X_412)))]]) ).
cnf(refute_0_1427,plain,
( meet(complement(X_412),sk3) != meet(sk3,complement(X_412))
| meet(complement(sk1),meet(complement(X_412),sk3)) = meet(complement(sk1),meet(sk3,complement(X_412))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(complement(X_412),sk3)),meet(complement(sk1),meet(complement(X_412),sk3))) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
meet(complement(sk1),meet(complement(X_412),sk3)) = meet(complement(sk1),meet(sk3,complement(X_412))),
inference(resolve,[$cnf( $equal(meet(complement(X_412),sk3),meet(sk3,complement(X_412))) )],[refute_0_1424,refute_0_1427]) ).
cnf(refute_0_1429,plain,
meet(meet(sk3,complement(sk1)),X_35) = meet(X_35,meet(sk3,complement(sk1))),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_1430,plain,
meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = complement(join(complement(X_401),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),
inference(subst,[],[refute_0_462:[bind(A,$fot(X_401)),bind(X_34,$fot(join(sk1,complement(sk3)))),bind(X_35,$fot(join(sk2,complement(sk3))))]]) ).
cnf(refute_0_1431,plain,
X_93 = join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1)))))),
inference(subst,[],[refute_0_255:[bind(X_94,$fot(join(sk2,complement(join(complement(X_93),sk1)))))]]) ).
cnf(refute_0_1432,plain,
join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(join(A,join(X_15,complement(join(A,X_15)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(join(X_15,complement(join(A,X_15)))))]]) ).
cnf(refute_0_1433,plain,
top = join(A,join(X_15,complement(join(A,X_15)))),
inference(subst,[],[refute_0_122:[bind(X_6,$fot(A)),bind(X_7,$fot(X_15))]]) ).
cnf(refute_0_1434,plain,
( top != join(A,join(X_15,complement(join(A,X_15))))
| join(A,join(X_15,complement(join(A,X_15)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,join(X_15,complement(join(A,X_15))))))]]) ).
cnf(refute_0_1435,plain,
join(A,join(X_15,complement(join(A,X_15)))) = top,
inference(resolve,[$cnf( $equal(top,join(A,join(X_15,complement(join(A,X_15))))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( join(A,join(X_15,complement(join(A,X_15)))) != top
| join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(join(A,join(X_15,complement(join(A,X_15)))),C)
| join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(join(A,join(X_15,complement(join(A,X_15)))),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1437,plain,
( join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(join(A,join(X_15,complement(join(A,X_15)))),C)
| join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(X_15,complement(join(A,X_15)))),top) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(join(A,join(X_15,complement(join(A,X_15)))),C)) )],[refute_0_1432,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(join(X_15,complement(join(A,X_15))),C) = join(X_15,join(complement(join(A,X_15)),C)),
inference(subst,[],[refute_0_272:[bind(A,$fot(X_15)),bind(B,$fot(complement(join(A,X_15))))]]) ).
cnf(refute_0_1440,plain,
join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(A,join(join(X_15,complement(join(A,X_15))),C)),
introduced(tautology,[refl,[$fot(join(A,join(join(X_15,complement(join(A,X_15))),C)))]]) ).
cnf(refute_0_1441,plain,
( join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(A,join(join(X_15,complement(join(A,X_15))),C))
| join(join(X_15,complement(join(A,X_15))),C) != join(X_15,join(complement(join(A,X_15)),C))
| join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(A,join(X_15,join(complement(join(A,X_15)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(A,join(join(X_15,complement(join(A,X_15))),C))) ),[1,1],$fot(join(X_15,join(complement(join(A,X_15)),C)))]]) ).
cnf(refute_0_1442,plain,
( join(join(X_15,complement(join(A,X_15))),C) != join(X_15,join(complement(join(A,X_15)),C))
| join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(A,join(X_15,join(complement(join(A,X_15)),C))) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(A,join(join(X_15,complement(join(A,X_15))),C))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
join(A,join(join(X_15,complement(join(A,X_15))),C)) = join(A,join(X_15,join(complement(join(A,X_15)),C))),
inference(resolve,[$cnf( $equal(join(join(X_15,complement(join(A,X_15))),C),join(X_15,join(complement(join(A,X_15)),C))) )],[refute_0_1439,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(A,join(X_15,join(complement(join(A,X_15)),C)))
| join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(top,C)
| join(A,join(X_15,join(complement(join(A,X_15)),C))) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(top,C)) ),[0],$fot(join(A,join(X_15,join(complement(join(A,X_15)),C))))]]) ).
cnf(refute_0_1445,plain,
( join(A,join(join(X_15,complement(join(A,X_15))),C)) != join(top,C)
| join(A,join(X_15,join(complement(join(A,X_15)),C))) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(A,join(X_15,join(complement(join(A,X_15)),C)))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
join(A,join(X_15,join(complement(join(A,X_15)),C))) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_15,complement(join(A,X_15))),C)),join(top,C)) )],[refute_0_1438,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( join(A,join(X_15,join(complement(join(A,X_15)),C))) != join(top,C)
| join(top,C) != top
| join(A,join(X_15,join(complement(join(A,X_15)),C))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_15,join(complement(join(A,X_15)),C))),top) ),[0],$fot(join(top,C))]]) ).
cnf(refute_0_1448,plain,
( join(A,join(X_15,join(complement(join(A,X_15)),C))) != join(top,C)
| join(A,join(X_15,join(complement(join(A,X_15)),C))) = top ),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_643,refute_0_1447]) ).
cnf(refute_0_1449,plain,
join(A,join(X_15,join(complement(join(A,X_15)),C))) = top,
inference(resolve,[$cnf( $equal(join(A,join(X_15,join(complement(join(A,X_15)),C))),join(top,C)) )],[refute_0_1446,refute_0_1448]) ).
cnf(refute_0_1450,plain,
join(X_359,join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1))))) = top,
inference(subst,[],[refute_0_1449:[bind(A,$fot(X_359)),bind(C,$fot(meet(sk2,complement(sk1)))),bind(X_15,$fot(sk1))]]) ).
cnf(refute_0_1451,plain,
join(sk1,join(X_7,meet(sk2,complement(sk1)))) = join(X_7,join(sk1,meet(sk2,complement(sk1)))),
inference(subst,[],[refute_0_375:[bind(X_6,$fot(sk1)),bind(X_8,$fot(meet(sk2,complement(sk1))))]]) ).
cnf(refute_0_1452,plain,
meet(X_114,X_115) = meet(X_115,X_114),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(X_114)),bind(X_35,$fot(X_115))]]) ).
cnf(refute_0_1453,plain,
( meet(X_114,X_115) != meet(X_115,X_114)
| meet(X_115,X_114) = meet(X_114,X_115) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_114,X_115))),bind(Y,$fot(meet(X_115,X_114)))]]) ).
cnf(refute_0_1454,plain,
meet(X_115,X_114) = meet(X_114,X_115),
inference(resolve,[$cnf( $equal(meet(X_114,X_115),meet(X_115,X_114)) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( X_115 != join(meet(X_115,X_114),meet(X_115,complement(X_114)))
| meet(X_115,X_114) != meet(X_114,X_115)
| X_115 = join(meet(X_114,X_115),meet(X_115,complement(X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(X_115,join(meet(X_115,X_114),meet(X_115,complement(X_114)))) ),[1,0],$fot(meet(X_114,X_115))]]) ).
cnf(refute_0_1456,plain,
( X_115 != join(meet(X_115,X_114),meet(X_115,complement(X_114)))
| X_115 = join(meet(X_114,X_115),meet(X_115,complement(X_114))) ),
inference(resolve,[$cnf( $equal(meet(X_115,X_114),meet(X_114,X_115)) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
X_115 = join(meet(X_114,X_115),meet(X_115,complement(X_114))),
inference(resolve,[$cnf( $equal(X_115,join(meet(X_115,X_114),meet(X_115,complement(X_114)))) )],[refute_0_428,refute_0_1456]) ).
cnf(refute_0_1458,plain,
sk2 = join(meet(sk1,sk2),meet(sk2,complement(sk1))),
inference(subst,[],[refute_0_1457:[bind(X_114,$fot(sk1)),bind(X_115,$fot(sk2))]]) ).
cnf(refute_0_1459,plain,
sk1 = meet(sk1,join(sk1,sk2)),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(sk2)),bind(X_118,$fot(sk1))]]) ).
cnf(refute_0_1460,plain,
( join(sk1,sk2) != sk2
| sk1 != meet(sk1,join(sk1,sk2))
| sk1 = meet(sk1,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk1,sk2))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_1461,plain,
( sk1 != meet(sk1,join(sk1,sk2))
| sk1 = meet(sk1,sk2) ),
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[goals_14,refute_0_1460]) ).
cnf(refute_0_1462,plain,
sk1 = meet(sk1,sk2),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk1,sk2))) )],[refute_0_1459,refute_0_1461]) ).
cnf(refute_0_1463,plain,
( sk1 != meet(sk1,sk2)
| meet(sk1,sk2) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,sk2)))]]) ).
cnf(refute_0_1464,plain,
meet(sk1,sk2) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,sk2)) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( meet(sk1,sk2) != sk1
| sk2 != join(meet(sk1,sk2),meet(sk2,complement(sk1)))
| sk2 = join(sk1,meet(sk2,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(sk2,join(meet(sk1,sk2),meet(sk2,complement(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1466,plain,
( sk2 != join(meet(sk1,sk2),meet(sk2,complement(sk1)))
| sk2 = join(sk1,meet(sk2,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(sk1,sk2),sk1) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
sk2 = join(sk1,meet(sk2,complement(sk1))),
inference(resolve,[$cnf( $equal(sk2,join(meet(sk1,sk2),meet(sk2,complement(sk1)))) )],[refute_0_1458,refute_0_1466]) ).
cnf(refute_0_1468,plain,
( sk2 != join(sk1,meet(sk2,complement(sk1)))
| join(sk1,meet(sk2,complement(sk1))) = sk2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk2)),bind(Y,$fot(join(sk1,meet(sk2,complement(sk1)))))]]) ).
cnf(refute_0_1469,plain,
join(sk1,meet(sk2,complement(sk1))) = sk2,
inference(resolve,[$cnf( $equal(sk2,join(sk1,meet(sk2,complement(sk1)))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
( join(sk1,join(X_7,meet(sk2,complement(sk1)))) != join(X_7,join(sk1,meet(sk2,complement(sk1))))
| join(sk1,meet(sk2,complement(sk1))) != sk2
| join(sk1,join(X_7,meet(sk2,complement(sk1)))) = join(X_7,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_7,meet(sk2,complement(sk1)))),join(X_7,join(sk1,meet(sk2,complement(sk1))))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_1471,plain,
( join(sk1,join(X_7,meet(sk2,complement(sk1)))) != join(X_7,join(sk1,meet(sk2,complement(sk1))))
| join(sk1,join(X_7,meet(sk2,complement(sk1)))) = join(X_7,sk2) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk2,complement(sk1))),sk2) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
join(sk1,join(X_7,meet(sk2,complement(sk1)))) = join(X_7,sk2),
inference(resolve,[$cnf( $equal(join(sk1,join(X_7,meet(sk2,complement(sk1)))),join(X_7,join(sk1,meet(sk2,complement(sk1))))) )],[refute_0_1451,refute_0_1471]) ).
cnf(refute_0_1473,plain,
join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1)))) = join(complement(join(X_359,sk1)),sk2),
inference(subst,[],[refute_0_1472:[bind(X_7,$fot(complement(join(X_359,sk1))))]]) ).
cnf(refute_0_1474,plain,
( join(X_359,join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1))))) != top
| join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1)))) != join(complement(join(X_359,sk1)),sk2)
| join(X_359,join(complement(join(X_359,sk1)),sk2)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_359,join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1))))),top) ),[0,1],$fot(join(complement(join(X_359,sk1)),sk2))]]) ).
cnf(refute_0_1475,plain,
( join(X_359,join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1))))) != top
| join(X_359,join(complement(join(X_359,sk1)),sk2)) = top ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1)))),join(complement(join(X_359,sk1)),sk2)) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
join(X_359,join(complement(join(X_359,sk1)),sk2)) = top,
inference(resolve,[$cnf( $equal(join(X_359,join(sk1,join(complement(join(X_359,sk1)),meet(sk2,complement(sk1))))),top) )],[refute_0_1450,refute_0_1475]) ).
cnf(refute_0_1477,plain,
join(X_359,join(complement(join(X_359,sk1)),sk2)) = join(X_359,join(sk2,complement(join(X_359,sk1)))),
inference(subst,[],[refute_0_276:[bind(X_6,$fot(X_359)),bind(X_7,$fot(sk2)),bind(X_8,$fot(complement(join(X_359,sk1))))]]) ).
cnf(refute_0_1478,plain,
( join(X_359,join(complement(join(X_359,sk1)),sk2)) != join(X_359,join(sk2,complement(join(X_359,sk1))))
| join(X_359,join(complement(join(X_359,sk1)),sk2)) != top
| join(X_359,join(sk2,complement(join(X_359,sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_359,join(complement(join(X_359,sk1)),sk2)),top) ),[0],$fot(join(X_359,join(sk2,complement(join(X_359,sk1)))))]]) ).
cnf(refute_0_1479,plain,
( join(X_359,join(complement(join(X_359,sk1)),sk2)) != top
| join(X_359,join(sk2,complement(join(X_359,sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(X_359,join(complement(join(X_359,sk1)),sk2)),join(X_359,join(sk2,complement(join(X_359,sk1))))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
join(X_359,join(sk2,complement(join(X_359,sk1)))) = top,
inference(resolve,[$cnf( $equal(join(X_359,join(complement(join(X_359,sk1)),sk2)),top) )],[refute_0_1476,refute_0_1479]) ).
cnf(refute_0_1481,plain,
join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1)))) = top,
inference(subst,[],[refute_0_1480:[bind(X_359,$fot(complement(X_93)))]]) ).
cnf(refute_0_1482,plain,
( X_93 != join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1))))))
| join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1)))) != top
| X_93 = join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1483,plain,
( X_93 != join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1))))))
| X_93 = join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1)))),top) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
X_93 = join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(join(complement(X_93),join(sk2,complement(join(complement(X_93),sk1))))))) )],[refute_0_1431,refute_0_1483]) ).
cnf(refute_0_1485,plain,
join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))))]]) ).
cnf(refute_0_1486,plain,
complement(join(complement(X_93),sk1)) = complement(join(sk1,complement(X_93))),
inference(subst,[],[refute_0_1200:[bind(X_10,$fot(sk1)),bind(X_9,$fot(complement(X_93)))]]) ).
cnf(refute_0_1487,plain,
join(sk2,complement(join(complement(X_93),sk1))) = join(sk2,complement(join(complement(X_93),sk1))),
introduced(tautology,[refl,[$fot(join(sk2,complement(join(complement(X_93),sk1))))]]) ).
cnf(refute_0_1488,plain,
( complement(join(complement(X_93),sk1)) != complement(join(sk1,complement(X_93)))
| join(sk2,complement(join(complement(X_93),sk1))) != join(sk2,complement(join(complement(X_93),sk1)))
| join(sk2,complement(join(complement(X_93),sk1))) = join(sk2,complement(join(sk1,complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,complement(join(complement(X_93),sk1))),join(sk2,complement(join(complement(X_93),sk1)))) ),[1,1],$fot(complement(join(sk1,complement(X_93))))]]) ).
cnf(refute_0_1489,plain,
( complement(join(complement(X_93),sk1)) != complement(join(sk1,complement(X_93)))
| join(sk2,complement(join(complement(X_93),sk1))) = join(sk2,complement(join(sk1,complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(complement(X_93),sk1))),join(sk2,complement(join(complement(X_93),sk1)))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
join(sk2,complement(join(complement(X_93),sk1))) = join(sk2,complement(join(sk1,complement(X_93)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),sk1)),complement(join(sk1,complement(X_93)))) )],[refute_0_1486,refute_0_1489]) ).
cnf(refute_0_1491,plain,
meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) = meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))),
introduced(tautology,[refl,[$fot(meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))))]]) ).
cnf(refute_0_1492,plain,
( join(sk2,complement(join(complement(X_93),sk1))) != join(sk2,complement(join(sk1,complement(X_93))))
| meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) != meet(X_93,join(sk2,complement(join(complement(X_93),sk1))))
| meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))),meet(X_93,join(sk2,complement(join(complement(X_93),sk1))))) ),[1,1],$fot(join(sk2,complement(join(sk1,complement(X_93)))))]]) ).
cnf(refute_0_1493,plain,
( join(sk2,complement(join(complement(X_93),sk1))) != join(sk2,complement(join(sk1,complement(X_93))))
| meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))),meet(X_93,join(sk2,complement(join(complement(X_93),sk1))))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(complement(X_93),sk1))),join(sk2,complement(join(sk1,complement(X_93))))) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) = meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(X_93)),bind(X_35,$fot(join(sk2,complement(join(complement(X_93),sk1)))))]]) ).
cnf(refute_0_1496,plain,
( meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) != meet(X_93,join(sk2,complement(join(complement(X_93),sk1))))
| meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))),bind(Y,$fot(meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))))),bind(Z,$fot(meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))))]]) ).
cnf(refute_0_1497,plain,
( meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),meet(X_93,join(sk2,complement(join(complement(X_93),sk1))))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(resolve,[$cnf( $equal(meet(X_93,join(sk2,complement(join(complement(X_93),sk1)))),meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) )],[refute_0_1494,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))]]) ).
cnf(refute_0_1500,plain,
( join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))
| meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) ),[1,1],$fot(meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))]]) ).
cnf(refute_0_1501,plain,
( meet(join(sk2,complement(join(complement(X_93),sk1))),X_93) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))),
inference(resolve,[$cnf( $equal(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) )],[refute_0_1498,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))]]) ).
cnf(refute_0_1504,plain,
( complement(top) != zero
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1505,plain,
( complement(top) != zero
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))
| join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))),bind(Y,$fot(join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))),bind(Z,$fot(join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))))]]) ).
cnf(refute_0_1508,plain,
( join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))) )],[refute_0_1502,refute_0_1508]) ).
cnf(refute_0_1510,plain,
( join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))
| join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))),bind(Y,$fot(join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))))),bind(Z,$fot(meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))))]]) ).
cnf(refute_0_1511,plain,
( join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))))) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))),meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) )],[refute_0_1485,refute_0_1511]) ).
cnf(refute_0_1513,plain,
join(A,join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),
inference(subst,[],[refute_0_382:[bind(X_6,$fot(complement(X_238))),bind(X_7,$fot(meet(X_238,converse(complement(converse(X_238))))))]]) ).
cnf(refute_0_1514,plain,
converse(complement(converse(X_238))) = join(complement(X_238),meet(X_238,converse(complement(converse(X_238))))),
inference(subst,[],[refute_0_903:[bind(X_140,$fot(X_238))]]) ).
cnf(refute_0_1515,plain,
( converse(complement(converse(X_238))) != join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))
| join(complement(X_238),meet(X_238,converse(complement(converse(X_238))))) = converse(complement(converse(X_238))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_238))))),bind(Y,$fot(join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))))]]) ).
cnf(refute_0_1516,plain,
join(complement(X_238),meet(X_238,converse(complement(converse(X_238))))) = converse(complement(converse(X_238))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_238))),join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
( join(A,join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(complement(X_238),meet(X_238,converse(complement(converse(X_238))))) != converse(complement(converse(X_238)))
| join(A,converse(complement(converse(X_238)))) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) ),[0,1],$fot(converse(complement(converse(X_238))))]]) ).
cnf(refute_0_1518,plain,
( join(A,join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(A,converse(complement(converse(X_238)))) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(X_238),meet(X_238,converse(complement(converse(X_238))))),converse(complement(converse(X_238)))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
join(A,converse(complement(converse(X_238)))) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(X_238),meet(X_238,converse(complement(converse(X_238)))))),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) )],[refute_0_1513,refute_0_1518]) ).
cnf(refute_0_1520,plain,
converse(converse(X_238)) = X_238,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_238))]]) ).
cnf(refute_0_1521,plain,
complement(converse(converse(X_238))) = complement(converse(converse(X_238))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_238))))]]) ).
cnf(refute_0_1522,plain,
( complement(converse(converse(X_238))) != complement(converse(converse(X_238)))
| converse(converse(X_238)) != X_238
| complement(converse(converse(X_238))) = complement(X_238) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_238))),complement(converse(converse(X_238)))) ),[1,0],$fot(X_238)]]) ).
cnf(refute_0_1523,plain,
( converse(converse(X_238)) != X_238
| complement(converse(converse(X_238))) = complement(X_238) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_238))),complement(converse(converse(X_238)))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
complement(converse(converse(X_238))) = complement(X_238),
inference(resolve,[$cnf( $equal(converse(converse(X_238)),X_238) )],[refute_0_1520,refute_0_1523]) ).
cnf(refute_0_1525,plain,
converse(complement(converse(X_238))) = complement(converse(converse(X_238))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(converse(X_238)))]]) ).
cnf(refute_0_1526,plain,
( complement(converse(converse(X_238))) != complement(X_238)
| converse(complement(converse(X_238))) != complement(converse(converse(X_238)))
| converse(complement(converse(X_238))) = complement(X_238) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(X_238))))),bind(Y,$fot(complement(converse(converse(X_238))))),bind(Z,$fot(complement(X_238)))]]) ).
cnf(refute_0_1527,plain,
( complement(converse(converse(X_238))) != complement(X_238)
| converse(complement(converse(X_238))) = complement(X_238) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_238))),complement(converse(converse(X_238)))) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
converse(complement(converse(X_238))) = complement(X_238),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_238))),complement(X_238)) )],[refute_0_1524,refute_0_1527]) ).
cnf(refute_0_1529,plain,
join(A,converse(complement(converse(X_238)))) = join(A,converse(complement(converse(X_238)))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(converse(X_238)))))]]) ).
cnf(refute_0_1530,plain,
( converse(complement(converse(X_238))) != complement(X_238)
| join(A,converse(complement(converse(X_238)))) != join(A,converse(complement(converse(X_238))))
| join(A,converse(complement(converse(X_238)))) = join(A,complement(X_238)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_238)))),join(A,converse(complement(converse(X_238))))) ),[1,1],$fot(complement(X_238))]]) ).
cnf(refute_0_1531,plain,
( converse(complement(converse(X_238))) != complement(X_238)
| join(A,converse(complement(converse(X_238)))) = join(A,complement(X_238)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_238)))),join(A,converse(complement(converse(X_238))))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(A,converse(complement(converse(X_238)))) = join(A,complement(X_238)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_238))),complement(X_238)) )],[refute_0_1528,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( join(A,converse(complement(converse(X_238)))) != join(A,complement(X_238))
| join(A,converse(complement(converse(X_238)))) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(A,complement(X_238)) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_238)))),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) ),[0],$fot(join(A,complement(X_238)))]]) ).
cnf(refute_0_1534,plain,
( join(A,converse(complement(converse(X_238)))) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(A,complement(X_238)) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_238)))),join(A,complement(X_238))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
join(zero,A) = A,
inference(subst,[],[refute_0_335:[bind(X_93,$fot(A))]]) ).
cnf(refute_0_1536,plain,
meet(X_238,complement(X_238)) = zero,
inference(subst,[],[refute_0_85:[bind(A,$fot(X_238))]]) ).
cnf(refute_0_1537,plain,
meet(X_238,converse(complement(converse(X_238)))) = meet(X_238,converse(complement(converse(X_238)))),
introduced(tautology,[refl,[$fot(meet(X_238,converse(complement(converse(X_238)))))]]) ).
cnf(refute_0_1538,plain,
( converse(complement(converse(X_238))) != complement(X_238)
| meet(X_238,converse(complement(converse(X_238)))) != meet(X_238,converse(complement(converse(X_238))))
| meet(X_238,converse(complement(converse(X_238)))) = meet(X_238,complement(X_238)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_238,converse(complement(converse(X_238)))),meet(X_238,converse(complement(converse(X_238))))) ),[1,1],$fot(complement(X_238))]]) ).
cnf(refute_0_1539,plain,
( converse(complement(converse(X_238))) != complement(X_238)
| meet(X_238,converse(complement(converse(X_238)))) = meet(X_238,complement(X_238)) ),
inference(resolve,[$cnf( $equal(meet(X_238,converse(complement(converse(X_238)))),meet(X_238,converse(complement(converse(X_238))))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
meet(X_238,converse(complement(converse(X_238)))) = meet(X_238,complement(X_238)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_238))),complement(X_238)) )],[refute_0_1528,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( meet(X_238,complement(X_238)) != zero
| meet(X_238,converse(complement(converse(X_238)))) != meet(X_238,complement(X_238))
| meet(X_238,converse(complement(converse(X_238)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(X_238,converse(complement(converse(X_238)))))),bind(Y,$fot(meet(X_238,complement(X_238)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1542,plain,
( meet(X_238,complement(X_238)) != zero
| meet(X_238,converse(complement(converse(X_238)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_238,converse(complement(converse(X_238)))),meet(X_238,complement(X_238))) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
meet(X_238,converse(complement(converse(X_238)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_238,complement(X_238)),zero) )],[refute_0_1536,refute_0_1542]) ).
cnf(refute_0_1544,plain,
join(meet(X_238,converse(complement(converse(X_238)))),A) = join(meet(X_238,converse(complement(converse(X_238)))),A),
introduced(tautology,[refl,[$fot(join(meet(X_238,converse(complement(converse(X_238)))),A))]]) ).
cnf(refute_0_1545,plain,
( join(meet(X_238,converse(complement(converse(X_238)))),A) != join(meet(X_238,converse(complement(converse(X_238)))),A)
| meet(X_238,converse(complement(converse(X_238)))) != zero
| join(meet(X_238,converse(complement(converse(X_238)))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_238,converse(complement(converse(X_238)))),A),join(meet(X_238,converse(complement(converse(X_238)))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1546,plain,
( meet(X_238,converse(complement(converse(X_238)))) != zero
| join(meet(X_238,converse(complement(converse(X_238)))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(X_238,converse(complement(converse(X_238)))),A),join(meet(X_238,converse(complement(converse(X_238)))),A)) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
join(meet(X_238,converse(complement(converse(X_238)))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(X_238,converse(complement(converse(X_238)))),zero) )],[refute_0_1543,refute_0_1546]) ).
cnf(refute_0_1548,plain,
( join(meet(X_238,converse(complement(converse(X_238)))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(X_238,converse(complement(converse(X_238)))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_238,converse(complement(converse(X_238)))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_1549,plain,
( join(zero,A) != A
| join(meet(X_238,converse(complement(converse(X_238)))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(X_238,converse(complement(converse(X_238)))),A),join(zero,A)) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
join(meet(X_238,converse(complement(converse(X_238)))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1535,refute_0_1549]) ).
cnf(refute_0_1551,plain,
join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) = join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),
introduced(tautology,[refl,[$fot(join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)))]]) ).
cnf(refute_0_1552,plain,
( join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(meet(X_238,converse(complement(converse(X_238)))),A) != A
| join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) = join(complement(X_238),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_1553,plain,
( join(meet(X_238,converse(complement(converse(X_238)))),A) != A
| join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) = join(complement(X_238),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) = join(complement(X_238),A),
inference(resolve,[$cnf( $equal(join(meet(X_238,converse(complement(converse(X_238)))),A),A) )],[refute_0_1550,refute_0_1553]) ).
cnf(refute_0_1555,plain,
( join(A,complement(X_238)) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)) != join(complement(X_238),A)
| join(A,complement(X_238)) = join(complement(X_238),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(X_238)),join(complement(X_238),A)) ),[0],$fot(join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)))]]) ).
cnf(refute_0_1556,plain,
( join(A,complement(X_238)) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(A,complement(X_238)) = join(complement(X_238),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A)),join(complement(X_238),A)) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( join(A,converse(complement(converse(X_238)))) != join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))
| join(A,complement(X_238)) = join(complement(X_238),A) ),
inference(resolve,[$cnf( $equal(join(A,complement(X_238)),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) )],[refute_0_1534,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(A,complement(X_238)) = join(complement(X_238),A),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_238)))),join(complement(X_238),join(meet(X_238,converse(complement(converse(X_238)))),A))) )],[refute_0_1519,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) = join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),
inference(subst,[],[refute_0_1558:[bind(A,$fot(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))),bind(X_238,$fot(top))]]) ).
cnf(refute_0_1560,plain,
( join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) != join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))
| join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)))),bind(Z,$fot(meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))))]]) ).
cnf(refute_0_1561,plain,
( join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)),join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(sk2,complement(join(complement(X_93),sk1))),X_93)),meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) )],[refute_0_1512,refute_0_1561]) ).
cnf(refute_0_1563,plain,
( X_93 != join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top))
| join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)) != meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))
| X_93 = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) ),[0],$fot(join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)))]]) ).
cnf(refute_0_1564,plain,
( X_93 != join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top))
| X_93 = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top)),meet(X_93,join(sk2,complement(join(sk1,complement(X_93)))))) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
X_93 = meet(X_93,join(sk2,complement(join(sk1,complement(X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(join(sk2,complement(join(complement(X_93),sk1))),X_93),complement(top))) )],[refute_0_1484,refute_0_1564]) ).
cnf(refute_0_1566,plain,
join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,complement(join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_1565:[bind(X_93,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1567,plain,
meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = complement(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1568,plain,
join(sk1,complement(sk3)) = join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(join(sk1,complement(sk3)))),bind(B,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1569,plain,
( join(sk1,complement(sk3)) != join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(sk3)
| join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_1570,plain,
( join(sk1,complement(sk3)) != join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(sk3)) )],[refute_0_1344,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(sk1,complement(sk3)) = join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1568,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( meet(X_128,X_127) != meet(X_127,meet(X_128,X_127))
| meet(X_127,meet(X_128,X_127)) = meet(X_128,X_127) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_128,X_127))),bind(Y,$fot(meet(X_127,meet(X_128,X_127))))]]) ).
cnf(refute_0_1573,plain,
meet(X_127,meet(X_128,X_127)) = meet(X_128,X_127),
inference(resolve,[$cnf( $equal(meet(X_128,X_127),meet(X_127,meet(X_128,X_127))) )],[refute_0_730,refute_0_1572]) ).
cnf(refute_0_1574,plain,
meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) = meet(sk3,join(sk1,complement(sk3))),
inference(subst,[],[refute_0_1573:[bind(X_127,$fot(join(sk1,complement(sk3)))),bind(X_128,$fot(sk3))]]) ).
cnf(refute_0_1575,plain,
complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) = complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1576,plain,
( complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) != complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))
| meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk3,join(sk1,complement(sk3)))
| complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))),complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))) ),[1,0],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1577,plain,
( meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk3,join(sk1,complement(sk3)))
| complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))),complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_1574,refute_0_1577]) ).
cnf(refute_0_1579,plain,
join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(join(sk1,complement(sk3)))),bind(B,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1580,plain,
( complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))
| join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),bind(Y,$fot(complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))))),bind(Z,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1581,plain,
( complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1578,refute_0_1581]) ).
cnf(refute_0_1583,plain,
meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1584,plain,
( join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))
| meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))),meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) ),[1,1],$fot(complement(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1585,plain,
( join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))),meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1582,refute_0_1585]) ).
cnf(refute_0_1587,plain,
complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),
introduced(tautology,[refl,[$fot(complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1588,plain,
( complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) != complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))
| complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,0],$fot(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1589,plain,
( meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))
| complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(sk3)),bind(B,$fot(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1592,plain,
( complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) != complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))
| join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) != complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))))),bind(Y,$fot(complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))))),bind(Z,$fot(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1593,plain,
( complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) != complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))
| join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1590,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))) != complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))
| join(sk1,complement(sk3)) != join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1],$fot(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1596,plain,
( join(sk1,complement(sk3)) != join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3))))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(sk1,complement(sk3)) = complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),complement(join(complement(join(sk1,complement(sk3))),complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1571,refute_0_1596]) ).
cnf(refute_0_1598,plain,
( join(sk1,complement(sk3)) != complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))
| complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(sk1,complement(sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(sk3)))),bind(Y,$fot(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1599,plain,
complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(sk1,complement(sk3)),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
( complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(sk1,complement(sk3))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = complement(join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1601,plain,
( meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = complement(join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),join(sk1,complement(sk3))) )],[refute_0_1599,refute_0_1600]) ).
cnf(refute_0_1602,plain,
meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1567,refute_0_1601]) ).
cnf(refute_0_1603,plain,
meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1604,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1605,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1603,refute_0_1604]) ).
cnf(refute_0_1606,plain,
meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk3,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(sk1,complement(sk3)))),complement(sk1)) )],[refute_0_1379,refute_0_1605]) ).
cnf(refute_0_1607,plain,
( meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(join(sk1,complement(sk3)))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk3,complement(sk1))
| meet(sk3,complement(sk1)) = complement(join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(sk1,complement(sk3)))) ),[0],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_1608,plain,
( meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(join(sk1,complement(sk3)))
| meet(sk3,complement(sk1)) = complement(join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk3,complement(sk1))) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
meet(sk3,complement(sk1)) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(sk1,complement(sk3)))) )],[refute_0_1602,refute_0_1608]) ).
cnf(refute_0_1610,plain,
( meet(sk3,complement(sk1)) != complement(join(sk1,complement(sk3)))
| complement(join(sk1,complement(sk3))) = meet(sk3,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk3,complement(sk1)))),bind(Y,$fot(complement(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1611,plain,
complement(join(sk1,complement(sk3))) = meet(sk3,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(sk3,complement(sk1)),complement(join(sk1,complement(sk3)))) )],[refute_0_1609,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( complement(join(sk1,complement(sk3))) != meet(sk3,complement(sk1))
| join(sk1,complement(sk3)) != meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,complement(join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,complement(join(sk1,complement(sk3)))))))) ),[1,1,1,0,1],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_1613,plain,
( join(sk1,complement(sk3)) != meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,complement(join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(sk3,complement(sk1))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,complement(join(sk1,complement(sk3)))))))) )],[refute_0_1566,refute_0_1613]) ).
cnf(refute_0_1615,plain,
sk3 = join(meet(sk1,sk3),meet(sk3,complement(sk1))),
inference(subst,[],[refute_0_1457:[bind(X_114,$fot(sk1)),bind(X_115,$fot(sk3))]]) ).
cnf(refute_0_1616,plain,
( meet(sk1,sk3) != sk1
| sk3 != join(meet(sk1,sk3),meet(sk3,complement(sk1)))
| sk3 = join(sk1,meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(meet(sk1,sk3),meet(sk3,complement(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1617,plain,
( sk3 != join(meet(sk1,sk3),meet(sk3,complement(sk1)))
| sk3 = join(sk1,meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(sk1,sk3),sk1) )],[refute_0_1294,refute_0_1616]) ).
cnf(refute_0_1618,plain,
sk3 = join(sk1,meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(sk3,join(meet(sk1,sk3),meet(sk3,complement(sk1)))) )],[refute_0_1615,refute_0_1617]) ).
cnf(refute_0_1619,plain,
( sk3 != join(sk1,meet(sk3,complement(sk1)))
| join(sk1,meet(sk3,complement(sk1))) = sk3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(join(sk1,meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_1620,plain,
join(sk1,meet(sk3,complement(sk1))) = sk3,
inference(resolve,[$cnf( $equal(sk3,join(sk1,meet(sk3,complement(sk1)))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
complement(join(sk1,meet(sk3,complement(sk1)))) = complement(join(sk1,meet(sk3,complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(join(sk1,meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_1622,plain,
( complement(join(sk1,meet(sk3,complement(sk1)))) != complement(join(sk1,meet(sk3,complement(sk1))))
| join(sk1,meet(sk3,complement(sk1))) != sk3
| complement(join(sk1,meet(sk3,complement(sk1)))) = complement(sk3) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,meet(sk3,complement(sk1)))),complement(join(sk1,meet(sk3,complement(sk1))))) ),[1,0],$fot(sk3)]]) ).
cnf(refute_0_1623,plain,
( join(sk1,meet(sk3,complement(sk1))) != sk3
| complement(join(sk1,meet(sk3,complement(sk1)))) = complement(sk3) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,meet(sk3,complement(sk1)))),complement(join(sk1,meet(sk3,complement(sk1))))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
complement(join(sk1,meet(sk3,complement(sk1)))) = complement(sk3),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk3,complement(sk1))),sk3) )],[refute_0_1620,refute_0_1623]) ).
cnf(refute_0_1625,plain,
join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) = join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))]]) ).
cnf(refute_0_1626,plain,
( complement(join(sk1,meet(sk3,complement(sk1)))) != complement(sk3)
| join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) != join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))
| join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) = join(sk2,complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) ),[1,1],$fot(complement(sk3))]]) ).
cnf(refute_0_1627,plain,
( complement(join(sk1,meet(sk3,complement(sk1)))) != complement(sk3)
| join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) = join(sk2,complement(sk3)) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) = join(sk2,complement(sk3)),
inference(resolve,[$cnf( $equal(complement(join(sk1,meet(sk3,complement(sk1)))),complement(sk3)) )],[refute_0_1624,refute_0_1627]) ).
cnf(refute_0_1629,plain,
meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) = meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))))]]) ).
cnf(refute_0_1630,plain,
( join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) != join(sk2,complement(sk3))
| meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) != meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))
| meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))),meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))) ),[1,1],$fot(join(sk2,complement(sk3)))]]) ).
cnf(refute_0_1631,plain,
( join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))) != join(sk2,complement(sk3))
| meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))),meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))) )],[refute_0_1629,refute_0_1630]) ).
cnf(refute_0_1632,plain,
meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))),join(sk2,complement(sk3))) )],[refute_0_1628,refute_0_1631]) ).
cnf(refute_0_1633,plain,
( join(sk1,complement(sk3)) != meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))
| meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))) != meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))
| join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(sk3)),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) ),[0],$fot(meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))))]]) ).
cnf(refute_0_1634,plain,
( join(sk1,complement(sk3)) != meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))
| join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1)))))),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(sk1,complement(sk3)) = meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),meet(join(sk1,complement(sk3)),join(sk2,complement(join(sk1,meet(sk3,complement(sk1))))))) )],[refute_0_1614,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( join(sk1,complement(sk3)) != meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))
| meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) = join(sk1,complement(sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(sk3)))),bind(Y,$fot(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))]]) ).
cnf(refute_0_1637,plain,
meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) = join(sk1,complement(sk3)),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
( meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != complement(join(complement(X_401),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))
| meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) != join(sk1,complement(sk3))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = complement(join(complement(X_401),join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),complement(join(complement(X_401),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))) ),[1,0,1],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1639,plain,
( meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != complement(join(complement(X_401),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = complement(join(complement(X_401),join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))),join(sk1,complement(sk3))) )],[refute_0_1637,refute_0_1638]) ).
cnf(refute_0_1640,plain,
meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = complement(join(complement(X_401),join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),complement(join(complement(X_401),meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))) )],[refute_0_1430,refute_0_1639]) ).
cnf(refute_0_1641,plain,
complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))]]) ).
cnf(refute_0_1642,plain,
( complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) != complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))
| meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) != join(sk1,complement(sk3))
| complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = complement(join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))),complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) ),[1,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1643,plain,
( meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))) != join(sk1,complement(sk3))
| complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = complement(join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))),complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = complement(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))),join(sk1,complement(sk3))) )],[refute_0_1637,refute_0_1643]) ).
cnf(refute_0_1645,plain,
( complement(join(sk1,complement(sk3))) != meet(sk3,complement(sk1))
| complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) != complement(join(sk1,complement(sk3)))
| complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = meet(sk3,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))),bind(Y,$fot(complement(join(sk1,complement(sk3))))),bind(Z,$fot(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_1646,plain,
( complement(join(sk1,complement(sk3))) != meet(sk3,complement(sk1))
| complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = meet(sk3,complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))),complement(join(sk1,complement(sk3)))) )],[refute_0_1644,refute_0_1645]) ).
cnf(refute_0_1647,plain,
complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) = meet(sk3,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(sk3,complement(sk1))) )],[refute_0_1611,refute_0_1646]) ).
cnf(refute_0_1648,plain,
meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))))]]) ).
cnf(refute_0_1649,plain,
( complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) != meet(sk3,complement(sk1))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = meet(X_401,meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))) ),[1,1],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_1650,plain,
( complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))) != meet(sk3,complement(sk1))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = meet(X_401,meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) = meet(X_401,meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3)))),meet(sk3,complement(sk1))) )],[refute_0_1647,refute_0_1650]) ).
cnf(refute_0_1652,plain,
( meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != complement(join(complement(X_401),join(sk1,complement(sk3))))
| meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != meet(X_401,meet(sk3,complement(sk1)))
| meet(X_401,meet(sk3,complement(sk1))) = complement(join(complement(X_401),join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),complement(join(complement(X_401),join(sk1,complement(sk3))))) ),[0],$fot(meet(X_401,meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_1653,plain,
( meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != complement(join(complement(X_401),join(sk1,complement(sk3))))
| meet(X_401,meet(sk3,complement(sk1))) = complement(join(complement(X_401),join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),meet(X_401,meet(sk3,complement(sk1)))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
meet(meet(X_401,sk3),complement(sk1)) = meet(complement(sk1),meet(X_401,sk3)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(meet(X_401,sk3)))]]) ).
cnf(refute_0_1655,plain,
meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = complement(join(complement(X_401),meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),
inference(subst,[],[refute_0_462:[bind(A,$fot(X_401)),bind(X_34,$fot(composition(top,sk2))),bind(X_35,$fot(join(sk1,complement(composition(top,sk2)))))]]) ).
cnf(refute_0_1656,plain,
meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = complement(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_1657,plain,
complement(sk1) = join(complement(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(complement(join(sk1,complement(composition(top,sk2)))))),bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_1658,plain,
composition(top,sk2) = join(meet(sk1,composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))),
inference(subst,[],[refute_0_1283:[bind(X_127,$fot(composition(top,sk2))),bind(X_128,$fot(sk1))]]) ).
cnf(refute_0_1659,plain,
sk1 = meet(sk1,join(sk1,join(sk2,X_8))),
inference(subst,[],[refute_0_719:[bind(X_117,$fot(join(sk2,X_8))),bind(X_118,$fot(sk1))]]) ).
cnf(refute_0_1660,plain,
( join(sk1,join(sk2,X_8)) != join(sk2,X_8)
| sk1 != meet(sk1,join(sk1,join(sk2,X_8)))
| sk1 = meet(sk1,join(sk2,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk1,join(sk2,X_8)))) ),[1,1],$fot(join(sk2,X_8))]]) ).
cnf(refute_0_1661,plain,
( sk1 != meet(sk1,join(sk1,join(sk2,X_8)))
| sk1 = meet(sk1,join(sk2,X_8)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,X_8)),join(sk2,X_8)) )],[refute_0_503,refute_0_1660]) ).
cnf(refute_0_1662,plain,
sk1 = meet(sk1,join(sk2,X_8)),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk1,join(sk2,X_8)))) )],[refute_0_1659,refute_0_1661]) ).
cnf(refute_0_1663,plain,
sk1 = meet(sk1,join(sk2,composition(X_207,sk2))),
inference(subst,[],[refute_0_1662:[bind(X_8,$fot(composition(X_207,sk2)))]]) ).
cnf(refute_0_1664,plain,
composition(join(converse(one),B),C) = join(composition(converse(one),C),composition(B,C)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_1665,plain,
C = composition(converse(one),C),
inference(subst,[],[refute_0_42:[bind(X_74,$fot(C))]]) ).
cnf(refute_0_1666,plain,
( C != composition(converse(one),C)
| composition(converse(one),C) = C ),
inference(subst,[],[refute_0_2:[bind(X,$fot(C)),bind(Y,$fot(composition(converse(one),C)))]]) ).
cnf(refute_0_1667,plain,
composition(converse(one),C) = C,
inference(resolve,[$cnf( $equal(C,composition(converse(one),C)) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
( composition(converse(one),C) != C
| composition(join(converse(one),B),C) != join(composition(converse(one),C),composition(B,C))
| composition(join(converse(one),B),C) = join(C,composition(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),join(composition(converse(one),C),composition(B,C))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_1669,plain,
( composition(join(converse(one),B),C) != join(composition(converse(one),C),composition(B,C))
| composition(join(converse(one),B),C) = join(C,composition(B,C)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),C),C) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
composition(join(converse(one),B),C) = join(C,composition(B,C)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),join(composition(converse(one),C),composition(B,C))) )],[refute_0_1664,refute_0_1669]) ).
cnf(refute_0_1671,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_1672,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_42:[bind(X_74,$fot(one))]]) ).
cnf(refute_0_1673,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_1674,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_1672,refute_0_1673]) ).
cnf(refute_0_1675,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_1676,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_1671,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_1679,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
join(converse(one),B) = join(converse(one),B),
introduced(tautology,[refl,[$fot(join(converse(one),B))]]) ).
cnf(refute_0_1681,plain,
( converse(one) != one
| join(converse(one),B) != join(converse(one),B)
| join(converse(one),B) = join(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1682,plain,
( converse(one) != one
| join(converse(one),B) = join(one,B) ),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
join(converse(one),B) = join(one,B),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_1679,refute_0_1682]) ).
cnf(refute_0_1684,plain,
composition(join(converse(one),B),C) = composition(join(converse(one),B),C),
introduced(tautology,[refl,[$fot(composition(join(converse(one),B),C))]]) ).
cnf(refute_0_1685,plain,
( composition(join(converse(one),B),C) != composition(join(converse(one),B),C)
| join(converse(one),B) != join(one,B)
| composition(join(converse(one),B),C) = composition(join(one,B),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(converse(one),B),C)) ),[1,0],$fot(join(one,B))]]) ).
cnf(refute_0_1686,plain,
( join(converse(one),B) != join(one,B)
| composition(join(converse(one),B),C) = composition(join(one,B),C) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(converse(one),B),C)) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
composition(join(converse(one),B),C) = composition(join(one,B),C),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(one,B)) )],[refute_0_1683,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( composition(join(converse(one),B),C) != composition(join(one,B),C)
| composition(join(converse(one),B),C) != join(C,composition(B,C))
| composition(join(one,B),C) = join(C,composition(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),B),C),join(C,composition(B,C))) ),[0],$fot(composition(join(one,B),C))]]) ).
cnf(refute_0_1689,plain,
( composition(join(converse(one),B),C) != join(C,composition(B,C))
| composition(join(one,B),C) = join(C,composition(B,C)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),composition(join(one,B),C)) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
composition(join(one,B),C) = join(C,composition(B,C)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),B),C),join(C,composition(B,C))) )],[refute_0_1670,refute_0_1689]) ).
cnf(refute_0_1691,plain,
composition(join(one,X_207),sk2) = join(sk2,composition(X_207,sk2)),
inference(subst,[],[refute_0_1690:[bind(B,$fot(X_207)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_1692,plain,
( composition(join(one,X_207),sk2) != join(sk2,composition(X_207,sk2))
| join(sk2,composition(X_207,sk2)) = composition(join(one,X_207),sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_207),sk2))),bind(Y,$fot(join(sk2,composition(X_207,sk2))))]]) ).
cnf(refute_0_1693,plain,
join(sk2,composition(X_207,sk2)) = composition(join(one,X_207),sk2),
inference(resolve,[$cnf( $equal(composition(join(one,X_207),sk2),join(sk2,composition(X_207,sk2))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(sk2,composition(X_207,sk2)) != composition(join(one,X_207),sk2)
| sk1 != meet(sk1,join(sk2,composition(X_207,sk2)))
| sk1 = meet(sk1,composition(join(one,X_207),sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk2,composition(X_207,sk2)))) ),[1,1],$fot(composition(join(one,X_207),sk2))]]) ).
cnf(refute_0_1695,plain,
( sk1 != meet(sk1,join(sk2,composition(X_207,sk2)))
| sk1 = meet(sk1,composition(join(one,X_207),sk2)) ),
inference(resolve,[$cnf( $equal(join(sk2,composition(X_207,sk2)),composition(join(one,X_207),sk2)) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
sk1 = meet(sk1,composition(join(one,X_207),sk2)),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk2,composition(X_207,sk2)))) )],[refute_0_1663,refute_0_1695]) ).
cnf(refute_0_1697,plain,
sk1 = meet(sk1,composition(join(one,complement(one)),sk2)),
inference(subst,[],[refute_0_1696:[bind(X_207,$fot(complement(one)))]]) ).
cnf(refute_0_1698,plain,
top = join(one,complement(one)),
inference(subst,[],[def_top_12:[bind(A,$fot(one))]]) ).
cnf(refute_0_1699,plain,
( top != join(one,complement(one))
| join(one,complement(one)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(one))))]]) ).
cnf(refute_0_1700,plain,
join(one,complement(one)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(one))) )],[refute_0_1698,refute_0_1699]) ).
cnf(refute_0_1701,plain,
( join(one,complement(one)) != top
| sk1 != meet(sk1,composition(join(one,complement(one)),sk2))
| sk1 = meet(sk1,composition(top,sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,composition(join(one,complement(one)),sk2))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1702,plain,
( sk1 != meet(sk1,composition(join(one,complement(one)),sk2))
| sk1 = meet(sk1,composition(top,sk2)) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
sk1 = meet(sk1,composition(top,sk2)),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,composition(join(one,complement(one)),sk2))) )],[refute_0_1697,refute_0_1702]) ).
cnf(refute_0_1704,plain,
( sk1 != meet(sk1,composition(top,sk2))
| meet(sk1,composition(top,sk2)) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,composition(top,sk2))))]]) ).
cnf(refute_0_1705,plain,
meet(sk1,composition(top,sk2)) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,composition(top,sk2))) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
( composition(top,sk2) != join(meet(sk1,composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))
| meet(sk1,composition(top,sk2)) != sk1
| composition(top,sk2) = join(sk1,complement(join(sk1,complement(composition(top,sk2))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,sk2),join(meet(sk1,composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1707,plain,
( composition(top,sk2) != join(meet(sk1,composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))
| composition(top,sk2) = join(sk1,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,composition(top,sk2)),sk1) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
composition(top,sk2) = join(sk1,complement(join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(composition(top,sk2),join(meet(sk1,composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1658,refute_0_1707]) ).
cnf(refute_0_1709,plain,
( composition(top,sk2) != join(sk1,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,sk2))),bind(Y,$fot(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_1710,plain,
join(sk1,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2),
inference(resolve,[$cnf( $equal(composition(top,sk2),join(sk1,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1708,refute_0_1709]) ).
cnf(refute_0_1711,plain,
( complement(sk1) != join(complement(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))
| join(sk1,complement(join(sk1,complement(composition(top,sk2))))) != composition(top,sk2)
| complement(sk1) = join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(complement(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))) ),[1,0,0],$fot(composition(top,sk2))]]) ).
cnf(refute_0_1712,plain,
( complement(sk1) != join(complement(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))
| complement(sk1) = join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(composition(top,sk2))))),composition(top,sk2)) )],[refute_0_1710,refute_0_1711]) ).
cnf(refute_0_1713,plain,
complement(sk1) = join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))) )],[refute_0_1657,refute_0_1712]) ).
cnf(refute_0_1714,plain,
join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(composition(top,sk2))),bind(B,$fot(join(sk1,complement(composition(top,sk2)))))]]) ).
cnf(refute_0_1715,plain,
meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))) = complement(join(sk1,complement(composition(top,sk2)))),
inference(subst,[],[refute_0_1362:[bind(X_254,$fot(complement(composition(top,sk2)))),bind(X_255,$fot(sk1))]]) ).
cnf(refute_0_1716,plain,
meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) = meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_1717,plain,
( meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) != meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2)))))
| meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))) != complement(join(sk1,complement(composition(top,sk2))))
| meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) = complement(join(sk1,complement(composition(top,sk2)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))),bind(Y,$fot(meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))))),bind(Z,$fot(complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_1718,plain,
( meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))) != complement(join(sk1,complement(composition(top,sk2))))
| meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) = complement(join(sk1,complement(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)),meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) = complement(join(sk1,complement(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(join(sk1,complement(composition(top,sk2))))),complement(join(sk1,complement(composition(top,sk2))))) )],[refute_0_1715,refute_0_1718]) ).
cnf(refute_0_1720,plain,
join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))))]]) ).
cnf(refute_0_1721,plain,
( join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) != join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))
| meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) != complement(join(sk1,complement(composition(top,sk2))))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))) ),[1,1],$fot(complement(join(sk1,complement(composition(top,sk2)))))]]) ).
cnf(refute_0_1722,plain,
( meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)) != complement(join(sk1,complement(composition(top,sk2))))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)),complement(join(sk1,complement(composition(top,sk2))))) )],[refute_0_1719,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))) != complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) != join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))))),bind(Y,$fot(join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))))),bind(Z,$fot(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_1725,plain,
( join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))) != complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),complement(join(sk1,complement(composition(top,sk2))))),complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1714,refute_0_1725]) ).
cnf(refute_0_1727,plain,
( complement(sk1) != join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))
| join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))) != complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))
| complement(sk1) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) ),[0],$fot(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))))]]) ).
cnf(refute_0_1728,plain,
( complement(sk1) != join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))
| complement(sk1) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1))),complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
complement(sk1) = complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(composition(top,sk2)),meet(complement(join(sk1,complement(composition(top,sk2)))),complement(sk1)))) )],[refute_0_1713,refute_0_1728]) ).
cnf(refute_0_1730,plain,
( complement(sk1) != complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))
| complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_1731,plain,
complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) != complement(sk1)
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) != complement(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))),complement(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_1733,plain,
( meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) != complement(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))),complement(sk1)) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))),complement(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) )],[refute_0_1656,refute_0_1733]) ).
cnf(refute_0_1735,plain,
complement(complement(sk1)) = sk1,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_1736,plain,
( complement(complement(sk1)) != sk1
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) != complement(complement(sk1))
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))),complement(complement(sk1))) ),[1],$fot(sk1)]]) ).
cnf(refute_0_1737,plain,
( meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) != complement(complement(sk1))
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_1735,refute_0_1736]) ).
cnf(refute_0_1738,plain,
meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) = sk1,
inference(resolve,[$cnf( $equal(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))),complement(complement(sk1))) )],[refute_0_1734,refute_0_1737]) ).
cnf(refute_0_1739,plain,
( meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != complement(join(complement(X_401),meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))
| meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))) != sk1
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = complement(join(complement(X_401),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),complement(join(complement(X_401),meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) ),[1,0,1],$fot(sk1)]]) ).
cnf(refute_0_1740,plain,
( meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != complement(join(complement(X_401),meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = complement(join(complement(X_401),sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))),sk1) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = complement(join(complement(X_401),sk1)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),complement(join(complement(X_401),meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) )],[refute_0_1655,refute_0_1740]) ).
cnf(refute_0_1742,plain,
meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),
introduced(tautology,[refl,[$fot(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_1743,plain,
( complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) != complement(sk1)
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = meet(X_401,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1744,plain,
( complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))) != complement(sk1)
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = meet(X_401,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) = meet(X_401,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2))))),complement(sk1)) )],[refute_0_1731,refute_0_1744]) ).
cnf(refute_0_1746,plain,
( meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != complement(join(complement(X_401),sk1))
| meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != meet(X_401,complement(sk1))
| meet(X_401,complement(sk1)) = complement(join(complement(X_401),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),complement(join(complement(X_401),sk1))) ),[0],$fot(meet(X_401,complement(sk1)))]]) ).
cnf(refute_0_1747,plain,
( meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != complement(join(complement(X_401),sk1))
| meet(X_401,complement(sk1)) = complement(join(complement(X_401),sk1)) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),meet(X_401,complement(sk1))) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
complement(join(complement(X_378),X_379)) = meet(X_378,complement(join(complement(X_378),X_379))),
inference(subst,[],[refute_0_580:[bind(A,$fot(X_378)),bind(B,$fot(X_379))]]) ).
cnf(refute_0_1749,plain,
join(X_379,complement(X_378)) = join(complement(X_378),X_379),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_379)),bind(B,$fot(complement(X_378)))]]) ).
cnf(refute_0_1750,plain,
( join(X_379,complement(X_378)) != join(complement(X_378),X_379)
| join(complement(X_378),X_379) = join(X_379,complement(X_378)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_379,complement(X_378)))),bind(Y,$fot(join(complement(X_378),X_379)))]]) ).
cnf(refute_0_1751,plain,
join(complement(X_378),X_379) = join(X_379,complement(X_378)),
inference(resolve,[$cnf( $equal(join(X_379,complement(X_378)),join(complement(X_378),X_379)) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
( complement(join(complement(X_378),X_379)) != meet(X_378,complement(join(complement(X_378),X_379)))
| join(complement(X_378),X_379) != join(X_379,complement(X_378))
| complement(join(X_379,complement(X_378))) = meet(X_378,complement(join(complement(X_378),X_379))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_378),X_379)),meet(X_378,complement(join(complement(X_378),X_379)))) ),[0,0],$fot(join(X_379,complement(X_378)))]]) ).
cnf(refute_0_1753,plain,
( complement(join(complement(X_378),X_379)) != meet(X_378,complement(join(complement(X_378),X_379)))
| complement(join(X_379,complement(X_378))) = meet(X_378,complement(join(complement(X_378),X_379))) ),
inference(resolve,[$cnf( $equal(join(complement(X_378),X_379),join(X_379,complement(X_378))) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
complement(join(X_379,complement(X_378))) = meet(X_378,complement(join(complement(X_378),X_379))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),X_379)),meet(X_378,complement(join(complement(X_378),X_379)))) )],[refute_0_1748,refute_0_1753]) ).
cnf(refute_0_1755,plain,
meet(X_378,complement(join(complement(X_378),X_379))) = complement(join(complement(X_378),X_379)),
inference(subst,[],[refute_0_589:[bind(A,$fot(X_378)),bind(B,$fot(X_379))]]) ).
cnf(refute_0_1756,plain,
( complement(join(X_379,complement(X_378))) != meet(X_378,complement(join(complement(X_378),X_379)))
| meet(X_378,complement(join(complement(X_378),X_379))) != complement(join(complement(X_378),X_379))
| complement(join(X_379,complement(X_378))) = complement(join(complement(X_378),X_379)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_379,complement(X_378))),complement(join(complement(X_378),X_379))) ),[0],$fot(meet(X_378,complement(join(complement(X_378),X_379))))]]) ).
cnf(refute_0_1757,plain,
( complement(join(X_379,complement(X_378))) != meet(X_378,complement(join(complement(X_378),X_379)))
| complement(join(X_379,complement(X_378))) = complement(join(complement(X_378),X_379)) ),
inference(resolve,[$cnf( $equal(meet(X_378,complement(join(complement(X_378),X_379))),complement(join(complement(X_378),X_379))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
complement(join(X_379,complement(X_378))) = complement(join(complement(X_378),X_379)),
inference(resolve,[$cnf( $equal(complement(join(X_379,complement(X_378))),meet(X_378,complement(join(complement(X_378),X_379)))) )],[refute_0_1754,refute_0_1757]) ).
cnf(refute_0_1759,plain,
( complement(join(X_379,complement(X_378))) != complement(join(complement(X_378),X_379))
| complement(join(complement(X_378),X_379)) = complement(join(X_379,complement(X_378))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(X_379,complement(X_378))))),bind(Y,$fot(complement(join(complement(X_378),X_379))))]]) ).
cnf(refute_0_1760,plain,
complement(join(complement(X_378),X_379)) = complement(join(X_379,complement(X_378))),
inference(resolve,[$cnf( $equal(complement(join(X_379,complement(X_378))),complement(join(complement(X_378),X_379))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
complement(join(complement(X_401),sk1)) = complement(join(sk1,complement(X_401))),
inference(subst,[],[refute_0_1760:[bind(X_378,$fot(X_401)),bind(X_379,$fot(sk1))]]) ).
cnf(refute_0_1762,plain,
( complement(join(complement(X_401),sk1)) != complement(join(sk1,complement(X_401)))
| meet(X_401,complement(sk1)) != complement(join(complement(X_401),sk1))
| meet(X_401,complement(sk1)) = complement(join(sk1,complement(X_401))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(sk1)),complement(join(complement(X_401),sk1))) ),[1],$fot(complement(join(sk1,complement(X_401))))]]) ).
cnf(refute_0_1763,plain,
( meet(X_401,complement(sk1)) != complement(join(complement(X_401),sk1))
| meet(X_401,complement(sk1)) = complement(join(sk1,complement(X_401))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_401),sk1)),complement(join(sk1,complement(X_401)))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
( meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))) != complement(join(complement(X_401),sk1))
| meet(X_401,complement(sk1)) = complement(join(sk1,complement(X_401))) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(sk1)),complement(join(complement(X_401),sk1))) )],[refute_0_1747,refute_0_1763]) ).
cnf(refute_0_1765,plain,
meet(X_401,complement(sk1)) = complement(join(sk1,complement(X_401))),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(composition(top,sk2),join(sk1,complement(composition(top,sk2)))))),complement(join(complement(X_401),sk1))) )],[refute_0_1741,refute_0_1764]) ).
cnf(refute_0_1766,plain,
( meet(X_401,complement(sk1)) != complement(join(sk1,complement(X_401)))
| complement(join(sk1,complement(X_401))) = meet(X_401,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_401,complement(sk1)))),bind(Y,$fot(complement(join(sk1,complement(X_401)))))]]) ).
cnf(refute_0_1767,plain,
complement(join(sk1,complement(X_401))) = meet(X_401,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(sk1)),complement(join(sk1,complement(X_401)))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
complement(join(sk1,complement(meet(X_401,sk3)))) = meet(meet(X_401,sk3),complement(sk1)),
inference(subst,[],[refute_0_1767:[bind(X_401,$fot(meet(X_401,sk3)))]]) ).
cnf(refute_0_1769,plain,
( complement(join(sk1,complement(meet(X_401,sk3)))) != meet(meet(X_401,sk3),complement(sk1))
| meet(meet(X_401,sk3),complement(sk1)) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(sk1,complement(meet(X_401,sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(sk1,complement(meet(X_401,sk3)))))),bind(Y,$fot(meet(meet(X_401,sk3),complement(sk1)))),bind(Z,$fot(meet(complement(sk1),meet(X_401,sk3))))]]) ).
cnf(refute_0_1770,plain,
( meet(meet(X_401,sk3),complement(sk1)) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(sk1,complement(meet(X_401,sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(X_401,sk3)))),meet(meet(X_401,sk3),complement(sk1))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
complement(join(sk1,complement(meet(X_401,sk3)))) = meet(complement(sk1),meet(X_401,sk3)),
inference(resolve,[$cnf( $equal(meet(meet(X_401,sk3),complement(sk1)),meet(complement(sk1),meet(X_401,sk3))) )],[refute_0_1654,refute_0_1770]) ).
cnf(refute_0_1772,plain,
join(complement(X_401),complement(sk3)) = complement(meet(X_401,sk3)),
inference(subst,[],[refute_0_454:[bind(A,$fot(X_401)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_1773,plain,
join(sk1,join(complement(X_401),complement(sk3))) = join(sk1,join(complement(X_401),complement(sk3))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(X_401),complement(sk3))))]]) ).
cnf(refute_0_1774,plain,
( join(complement(X_401),complement(sk3)) != complement(meet(X_401,sk3))
| join(sk1,join(complement(X_401),complement(sk3))) != join(sk1,join(complement(X_401),complement(sk3)))
| join(sk1,join(complement(X_401),complement(sk3))) = join(sk1,complement(meet(X_401,sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(X_401),complement(sk3))),join(sk1,join(complement(X_401),complement(sk3)))) ),[1,1],$fot(complement(meet(X_401,sk3)))]]) ).
cnf(refute_0_1775,plain,
( join(complement(X_401),complement(sk3)) != complement(meet(X_401,sk3))
| join(sk1,join(complement(X_401),complement(sk3))) = join(sk1,complement(meet(X_401,sk3))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(X_401),complement(sk3))),join(sk1,join(complement(X_401),complement(sk3)))) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
join(sk1,join(complement(X_401),complement(sk3))) = join(sk1,complement(meet(X_401,sk3))),
inference(resolve,[$cnf( $equal(join(complement(X_401),complement(sk3)),complement(meet(X_401,sk3))) )],[refute_0_1772,refute_0_1775]) ).
cnf(refute_0_1777,plain,
complement(join(sk1,join(complement(X_401),complement(sk3)))) = complement(join(sk1,join(complement(X_401),complement(sk3)))),
introduced(tautology,[refl,[$fot(complement(join(sk1,join(complement(X_401),complement(sk3)))))]]) ).
cnf(refute_0_1778,plain,
( complement(join(sk1,join(complement(X_401),complement(sk3)))) != complement(join(sk1,join(complement(X_401),complement(sk3))))
| join(sk1,join(complement(X_401),complement(sk3))) != join(sk1,complement(meet(X_401,sk3)))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) = complement(join(sk1,complement(meet(X_401,sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,join(complement(X_401),complement(sk3)))),complement(join(sk1,join(complement(X_401),complement(sk3))))) ),[1,0],$fot(join(sk1,complement(meet(X_401,sk3))))]]) ).
cnf(refute_0_1779,plain,
( join(sk1,join(complement(X_401),complement(sk3))) != join(sk1,complement(meet(X_401,sk3)))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) = complement(join(sk1,complement(meet(X_401,sk3)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(complement(X_401),complement(sk3)))),complement(join(sk1,join(complement(X_401),complement(sk3))))) )],[refute_0_1777,refute_0_1778]) ).
cnf(refute_0_1780,plain,
complement(join(sk1,join(complement(X_401),complement(sk3)))) = complement(join(sk1,complement(meet(X_401,sk3)))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(X_401),complement(sk3))),join(sk1,complement(meet(X_401,sk3)))) )],[refute_0_1776,refute_0_1779]) ).
cnf(refute_0_1781,plain,
( complement(join(sk1,complement(meet(X_401,sk3)))) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) != complement(join(sk1,complement(meet(X_401,sk3))))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(sk1,join(complement(X_401),complement(sk3)))))),bind(Y,$fot(complement(join(sk1,complement(meet(X_401,sk3)))))),bind(Z,$fot(meet(complement(sk1),meet(X_401,sk3))))]]) ).
cnf(refute_0_1782,plain,
( complement(join(sk1,complement(meet(X_401,sk3)))) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(complement(X_401),complement(sk3)))),complement(join(sk1,complement(meet(X_401,sk3))))) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
complement(join(sk1,join(complement(X_401),complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(X_401,sk3)))),meet(complement(sk1),meet(X_401,sk3))) )],[refute_0_1771,refute_0_1782]) ).
cnf(refute_0_1784,plain,
complement(join(complement(X_378),join(X_6,X_8))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))),
inference(subst,[],[refute_0_580:[bind(A,$fot(X_378)),bind(B,$fot(join(X_6,X_8)))]]) ).
cnf(refute_0_1785,plain,
join(X_6,join(complement(X_378),X_8)) = join(complement(X_378),join(X_6,X_8)),
inference(subst,[],[refute_0_375:[bind(X_7,$fot(complement(X_378)))]]) ).
cnf(refute_0_1786,plain,
( join(X_6,join(complement(X_378),X_8)) != join(complement(X_378),join(X_6,X_8))
| join(complement(X_378),join(X_6,X_8)) = join(X_6,join(complement(X_378),X_8)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(complement(X_378),X_8)))),bind(Y,$fot(join(complement(X_378),join(X_6,X_8))))]]) ).
cnf(refute_0_1787,plain,
join(complement(X_378),join(X_6,X_8)) = join(X_6,join(complement(X_378),X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_378),X_8)),join(complement(X_378),join(X_6,X_8))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( complement(join(complement(X_378),join(X_6,X_8))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))
| join(complement(X_378),join(X_6,X_8)) != join(X_6,join(complement(X_378),X_8))
| complement(join(X_6,join(complement(X_378),X_8))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_378),join(X_6,X_8))),meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))) ),[0,0],$fot(join(X_6,join(complement(X_378),X_8)))]]) ).
cnf(refute_0_1789,plain,
( complement(join(complement(X_378),join(X_6,X_8))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))
| complement(join(X_6,join(complement(X_378),X_8))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_378),join(X_6,X_8)),join(X_6,join(complement(X_378),X_8))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
complement(join(X_6,join(complement(X_378),X_8))) = meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),join(X_6,X_8))),meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))) )],[refute_0_1784,refute_0_1789]) ).
cnf(refute_0_1791,plain,
meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))) = complement(join(complement(X_378),join(X_6,X_8))),
inference(subst,[],[refute_0_589:[bind(A,$fot(X_378)),bind(B,$fot(join(X_6,X_8)))]]) ).
cnf(refute_0_1792,plain,
( complement(join(X_6,join(complement(X_378),X_8))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))
| meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))) != complement(join(complement(X_378),join(X_6,X_8)))
| complement(join(X_6,join(complement(X_378),X_8))) = complement(join(complement(X_378),join(X_6,X_8))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_6,join(complement(X_378),X_8))),complement(join(complement(X_378),join(X_6,X_8)))) ),[0],$fot(meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))))]]) ).
cnf(refute_0_1793,plain,
( complement(join(X_6,join(complement(X_378),X_8))) != meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))
| complement(join(X_6,join(complement(X_378),X_8))) = complement(join(complement(X_378),join(X_6,X_8))) ),
inference(resolve,[$cnf( $equal(meet(X_378,complement(join(complement(X_378),join(X_6,X_8)))),complement(join(complement(X_378),join(X_6,X_8)))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
complement(join(X_6,join(complement(X_378),X_8))) = complement(join(complement(X_378),join(X_6,X_8))),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(complement(X_378),X_8))),meet(X_378,complement(join(complement(X_378),join(X_6,X_8))))) )],[refute_0_1790,refute_0_1793]) ).
cnf(refute_0_1795,plain,
( complement(join(X_6,join(complement(X_378),X_8))) != complement(join(complement(X_378),join(X_6,X_8)))
| complement(join(complement(X_378),join(X_6,X_8))) = complement(join(X_6,join(complement(X_378),X_8))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(X_6,join(complement(X_378),X_8))))),bind(Y,$fot(complement(join(complement(X_378),join(X_6,X_8)))))]]) ).
cnf(refute_0_1796,plain,
complement(join(complement(X_378),join(X_6,X_8))) = complement(join(X_6,join(complement(X_378),X_8))),
inference(resolve,[$cnf( $equal(complement(join(X_6,join(complement(X_378),X_8))),complement(join(complement(X_378),join(X_6,X_8)))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
complement(join(complement(X_401),join(sk1,complement(sk3)))) = complement(join(sk1,join(complement(X_401),complement(sk3)))),
inference(subst,[],[refute_0_1796:[bind(X_378,$fot(X_401)),bind(X_6,$fot(sk1)),bind(X_8,$fot(complement(sk3)))]]) ).
cnf(refute_0_1798,plain,
( complement(join(complement(X_401),join(sk1,complement(sk3)))) != complement(join(sk1,join(complement(X_401),complement(sk3))))
| complement(join(sk1,join(complement(X_401),complement(sk3)))) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(complement(X_401),join(sk1,complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(X_401),join(sk1,complement(sk3)))))),bind(Y,$fot(complement(join(sk1,join(complement(X_401),complement(sk3)))))),bind(Z,$fot(meet(complement(sk1),meet(X_401,sk3))))]]) ).
cnf(refute_0_1799,plain,
( complement(join(sk1,join(complement(X_401),complement(sk3)))) != meet(complement(sk1),meet(X_401,sk3))
| complement(join(complement(X_401),join(sk1,complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_401),join(sk1,complement(sk3)))),complement(join(sk1,join(complement(X_401),complement(sk3))))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
complement(join(complement(X_401),join(sk1,complement(sk3)))) = meet(complement(sk1),meet(X_401,sk3)),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(complement(X_401),complement(sk3)))),meet(complement(sk1),meet(X_401,sk3))) )],[refute_0_1783,refute_0_1799]) ).
cnf(refute_0_1801,plain,
( complement(join(complement(X_401),join(sk1,complement(sk3)))) != meet(complement(sk1),meet(X_401,sk3))
| meet(X_401,meet(sk3,complement(sk1))) != complement(join(complement(X_401),join(sk1,complement(sk3))))
| meet(X_401,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_401,sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,meet(sk3,complement(sk1))),complement(join(complement(X_401),join(sk1,complement(sk3))))) ),[1],$fot(meet(complement(sk1),meet(X_401,sk3)))]]) ).
cnf(refute_0_1802,plain,
( meet(X_401,meet(sk3,complement(sk1))) != complement(join(complement(X_401),join(sk1,complement(sk3))))
| meet(X_401,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_401),join(sk1,complement(sk3)))),meet(complement(sk1),meet(X_401,sk3))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))) != complement(join(complement(X_401),join(sk1,complement(sk3))))
| meet(X_401,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_401,sk3)) ),
inference(resolve,[$cnf( $equal(meet(X_401,meet(sk3,complement(sk1))),complement(join(complement(X_401),join(sk1,complement(sk3))))) )],[refute_0_1653,refute_0_1802]) ).
cnf(refute_0_1804,plain,
meet(X_401,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_401,sk3)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(meet(join(sk1,complement(sk3)),join(sk2,complement(sk3))))),complement(join(complement(X_401),join(sk1,complement(sk3))))) )],[refute_0_1640,refute_0_1803]) ).
cnf(refute_0_1805,plain,
meet(X_35,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_35,sk3)),
inference(subst,[],[refute_0_1804:[bind(X_401,$fot(X_35))]]) ).
cnf(refute_0_1806,plain,
( meet(X_35,meet(sk3,complement(sk1))) != meet(complement(sk1),meet(X_35,sk3))
| meet(meet(sk3,complement(sk1)),X_35) != meet(X_35,meet(sk3,complement(sk1)))
| meet(meet(sk3,complement(sk1)),X_35) = meet(complement(sk1),meet(X_35,sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(sk3,complement(sk1)),X_35),meet(X_35,meet(sk3,complement(sk1)))) ),[1],$fot(meet(complement(sk1),meet(X_35,sk3)))]]) ).
cnf(refute_0_1807,plain,
( meet(meet(sk3,complement(sk1)),X_35) != meet(X_35,meet(sk3,complement(sk1)))
| meet(meet(sk3,complement(sk1)),X_35) = meet(complement(sk1),meet(X_35,sk3)) ),
inference(resolve,[$cnf( $equal(meet(X_35,meet(sk3,complement(sk1))),meet(complement(sk1),meet(X_35,sk3))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
meet(meet(sk3,complement(sk1)),X_35) = meet(complement(sk1),meet(X_35,sk3)),
inference(resolve,[$cnf( $equal(meet(meet(sk3,complement(sk1)),X_35),meet(X_35,meet(sk3,complement(sk1)))) )],[refute_0_1429,refute_0_1807]) ).
cnf(refute_0_1809,plain,
meet(meet(sk3,complement(sk1)),complement(X_412)) = meet(complement(sk1),meet(complement(X_412),sk3)),
inference(subst,[],[refute_0_1808:[bind(X_35,$fot(complement(X_412)))]]) ).
cnf(refute_0_1810,plain,
( meet(complement(sk1),meet(complement(X_412),sk3)) != meet(complement(sk1),meet(sk3,complement(X_412)))
| meet(meet(sk3,complement(sk1)),complement(X_412)) != meet(complement(sk1),meet(complement(X_412),sk3))
| meet(meet(sk3,complement(sk1)),complement(X_412)) = meet(complement(sk1),meet(sk3,complement(X_412))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(meet(sk3,complement(sk1)),complement(X_412)))),bind(Y,$fot(meet(complement(sk1),meet(complement(X_412),sk3)))),bind(Z,$fot(meet(complement(sk1),meet(sk3,complement(X_412)))))]]) ).
cnf(refute_0_1811,plain,
( meet(complement(sk1),meet(complement(X_412),sk3)) != meet(complement(sk1),meet(sk3,complement(X_412)))
| meet(meet(sk3,complement(sk1)),complement(X_412)) = meet(complement(sk1),meet(sk3,complement(X_412))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),meet(complement(sk1),meet(complement(X_412),sk3))) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
meet(meet(sk3,complement(sk1)),complement(X_412)) = meet(complement(sk1),meet(sk3,complement(X_412))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(complement(X_412),sk3)),meet(complement(sk1),meet(sk3,complement(X_412)))) )],[refute_0_1428,refute_0_1811]) ).
cnf(refute_0_1813,plain,
( meet(meet(sk3,complement(sk1)),complement(X_412)) != complement(join(join(sk1,complement(sk3)),X_412))
| meet(meet(sk3,complement(sk1)),complement(X_412)) != meet(complement(sk1),meet(sk3,complement(X_412)))
| meet(complement(sk1),meet(sk3,complement(X_412))) = complement(join(join(sk1,complement(sk3)),X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),complement(join(join(sk1,complement(sk3)),X_412))) ),[0],$fot(meet(complement(sk1),meet(sk3,complement(X_412))))]]) ).
cnf(refute_0_1814,plain,
( meet(meet(sk3,complement(sk1)),complement(X_412)) != complement(join(join(sk1,complement(sk3)),X_412))
| meet(complement(sk1),meet(sk3,complement(X_412))) = complement(join(join(sk1,complement(sk3)),X_412)) ),
inference(resolve,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),meet(complement(sk1),meet(sk3,complement(X_412)))) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
complement(join(sk1,join(complement(sk3),X_412))) = meet(sk3,complement(join(X_412,sk1))),
inference(subst,[],[refute_0_599:[bind(A,$fot(sk1)),bind(X_378,$fot(sk3)),bind(X_7,$fot(X_412))]]) ).
cnf(refute_0_1816,plain,
join(join(sk1,complement(sk3)),X_412) = join(sk1,join(complement(sk3),X_412)),
inference(subst,[],[refute_0_272:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk3))),bind(C,$fot(X_412))]]) ).
cnf(refute_0_1817,plain,
complement(join(join(sk1,complement(sk3)),X_412)) = complement(join(join(sk1,complement(sk3)),X_412)),
introduced(tautology,[refl,[$fot(complement(join(join(sk1,complement(sk3)),X_412)))]]) ).
cnf(refute_0_1818,plain,
( complement(join(join(sk1,complement(sk3)),X_412)) != complement(join(join(sk1,complement(sk3)),X_412))
| join(join(sk1,complement(sk3)),X_412) != join(sk1,join(complement(sk3),X_412))
| complement(join(join(sk1,complement(sk3)),X_412)) = complement(join(sk1,join(complement(sk3),X_412))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(sk1,complement(sk3)),X_412)),complement(join(join(sk1,complement(sk3)),X_412))) ),[1,0],$fot(join(sk1,join(complement(sk3),X_412)))]]) ).
cnf(refute_0_1819,plain,
( join(join(sk1,complement(sk3)),X_412) != join(sk1,join(complement(sk3),X_412))
| complement(join(join(sk1,complement(sk3)),X_412)) = complement(join(sk1,join(complement(sk3),X_412))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(sk3)),X_412)),complement(join(join(sk1,complement(sk3)),X_412))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
complement(join(join(sk1,complement(sk3)),X_412)) = complement(join(sk1,join(complement(sk3),X_412))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(sk3)),X_412),join(sk1,join(complement(sk3),X_412))) )],[refute_0_1816,refute_0_1819]) ).
cnf(refute_0_1821,plain,
( complement(join(join(sk1,complement(sk3)),X_412)) != complement(join(sk1,join(complement(sk3),X_412)))
| complement(join(sk1,join(complement(sk3),X_412))) != meet(sk3,complement(join(X_412,sk1)))
| complement(join(join(sk1,complement(sk3)),X_412)) = meet(sk3,complement(join(X_412,sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(join(sk1,complement(sk3)),X_412)))),bind(Y,$fot(complement(join(sk1,join(complement(sk3),X_412))))),bind(Z,$fot(meet(sk3,complement(join(X_412,sk1)))))]]) ).
cnf(refute_0_1822,plain,
( complement(join(sk1,join(complement(sk3),X_412))) != meet(sk3,complement(join(X_412,sk1)))
| complement(join(join(sk1,complement(sk3)),X_412)) = meet(sk3,complement(join(X_412,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(sk3)),X_412)),complement(join(sk1,join(complement(sk3),X_412)))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
complement(join(join(sk1,complement(sk3)),X_412)) = meet(sk3,complement(join(X_412,sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(complement(sk3),X_412))),meet(sk3,complement(join(X_412,sk1)))) )],[refute_0_1815,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( complement(join(join(sk1,complement(sk3)),X_412)) != meet(sk3,complement(join(X_412,sk1)))
| meet(complement(sk1),meet(sk3,complement(X_412))) != complement(join(join(sk1,complement(sk3)),X_412))
| meet(complement(sk1),meet(sk3,complement(X_412))) = meet(sk3,complement(join(X_412,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(sk3,complement(X_412))),complement(join(join(sk1,complement(sk3)),X_412))) ),[1],$fot(meet(sk3,complement(join(X_412,sk1))))]]) ).
cnf(refute_0_1825,plain,
( meet(complement(sk1),meet(sk3,complement(X_412))) != complement(join(join(sk1,complement(sk3)),X_412))
| meet(complement(sk1),meet(sk3,complement(X_412))) = meet(sk3,complement(join(X_412,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(sk3)),X_412)),meet(sk3,complement(join(X_412,sk1)))) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( meet(meet(sk3,complement(sk1)),complement(X_412)) != complement(join(join(sk1,complement(sk3)),X_412))
| meet(complement(sk1),meet(sk3,complement(X_412))) = meet(sk3,complement(join(X_412,sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk3,complement(X_412))),complement(join(join(sk1,complement(sk3)),X_412))) )],[refute_0_1814,refute_0_1825]) ).
cnf(refute_0_1827,plain,
meet(complement(sk1),meet(sk3,complement(X_412))) = meet(sk3,complement(join(X_412,sk1))),
inference(resolve,[$cnf( $equal(meet(meet(sk3,complement(sk1)),complement(X_412)),complement(join(join(sk1,complement(sk3)),X_412))) )],[refute_0_1423,refute_0_1826]) ).
cnf(refute_0_1828,plain,
meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(join(sk2,sk1))),
inference(subst,[],[refute_0_1827:[bind(X_412,$fot(sk2))]]) ).
cnf(refute_0_1829,plain,
( meet(complement(sk1),meet(sk3,complement(sk2))) != meet(sk3,complement(join(sk2,sk1)))
| meet(sk3,complement(join(sk2,sk1))) != meet(sk3,complement(join(sk1,sk2)))
| meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(join(sk1,sk2))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk1),meet(sk3,complement(sk2))))),bind(Y,$fot(meet(sk3,complement(join(sk2,sk1))))),bind(Z,$fot(meet(sk3,complement(join(sk1,sk2)))))]]) ).
cnf(refute_0_1830,plain,
( meet(sk3,complement(join(sk2,sk1))) != meet(sk3,complement(join(sk1,sk2)))
| meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(join(sk1,sk2))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk3,complement(sk2))),meet(sk3,complement(join(sk2,sk1)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(join(sk1,sk2))),
inference(resolve,[$cnf( $equal(meet(sk3,complement(join(sk2,sk1))),meet(sk3,complement(join(sk1,sk2)))) )],[refute_0_1276,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( meet(complement(sk1),meet(sk3,complement(sk2))) != meet(sk3,complement(join(sk1,sk2)))
| meet(sk3,complement(join(sk1,sk2))) != meet(sk3,complement(sk2))
| meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(sk2)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk1),meet(sk3,complement(sk2))))),bind(Y,$fot(meet(sk3,complement(join(sk1,sk2))))),bind(Z,$fot(meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_1833,plain,
( meet(sk3,complement(join(sk1,sk2))) != meet(sk3,complement(sk2))
| meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk3,complement(sk2))),meet(sk3,complement(join(sk1,sk2)))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
meet(complement(sk1),meet(sk3,complement(sk2))) = meet(sk3,complement(sk2)),
inference(resolve,[$cnf( $equal(meet(sk3,complement(join(sk1,sk2))),meet(sk3,complement(sk2))) )],[refute_0_1262,refute_0_1833]) ).
cnf(refute_0_1835,plain,
meet(X_408,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(X_408,sk3)),
inference(subst,[],[refute_0_1804:[bind(X_401,$fot(X_408))]]) ).
cnf(refute_0_1836,plain,
meet(sk3,X_408) = meet(X_408,sk3),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(sk3)),bind(X_35,$fot(X_408))]]) ).
cnf(refute_0_1837,plain,
( meet(sk3,X_408) != meet(X_408,sk3)
| meet(X_408,sk3) = meet(sk3,X_408) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk3,X_408))),bind(Y,$fot(meet(X_408,sk3)))]]) ).
cnf(refute_0_1838,plain,
meet(X_408,sk3) = meet(sk3,X_408),
inference(resolve,[$cnf( $equal(meet(sk3,X_408),meet(X_408,sk3)) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
( meet(X_408,meet(sk3,complement(sk1))) != meet(complement(sk1),meet(X_408,sk3))
| meet(X_408,sk3) != meet(sk3,X_408)
| meet(X_408,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(sk3,X_408)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_408,meet(sk3,complement(sk1))),meet(complement(sk1),meet(X_408,sk3))) ),[1,1],$fot(meet(sk3,X_408))]]) ).
cnf(refute_0_1840,plain,
( meet(X_408,meet(sk3,complement(sk1))) != meet(complement(sk1),meet(X_408,sk3))
| meet(X_408,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(sk3,X_408)) ),
inference(resolve,[$cnf( $equal(meet(X_408,sk3),meet(sk3,X_408)) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
meet(X_408,meet(sk3,complement(sk1))) = meet(complement(sk1),meet(sk3,X_408)),
inference(resolve,[$cnf( $equal(meet(X_408,meet(sk3,complement(sk1))),meet(complement(sk1),meet(X_408,sk3))) )],[refute_0_1835,refute_0_1840]) ).
cnf(refute_0_1842,plain,
meet(complement(sk2),meet(sk3,complement(sk1))) = meet(complement(sk1),meet(sk3,complement(sk2))),
inference(subst,[],[refute_0_1841:[bind(X_408,$fot(complement(sk2)))]]) ).
cnf(refute_0_1843,plain,
( meet(complement(sk1),meet(sk3,complement(sk2))) != meet(sk3,complement(sk2))
| meet(complement(sk2),meet(sk3,complement(sk1))) != meet(complement(sk1),meet(sk3,complement(sk2)))
| meet(complement(sk2),meet(sk3,complement(sk1))) = meet(sk3,complement(sk2)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk2),meet(sk3,complement(sk1))))),bind(Y,$fot(meet(complement(sk1),meet(sk3,complement(sk2))))),bind(Z,$fot(meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_1844,plain,
( meet(complement(sk1),meet(sk3,complement(sk2))) != meet(sk3,complement(sk2))
| meet(complement(sk2),meet(sk3,complement(sk1))) = meet(sk3,complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),meet(sk3,complement(sk1))),meet(complement(sk1),meet(sk3,complement(sk2)))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
meet(complement(sk2),meet(sk3,complement(sk1))) = meet(sk3,complement(sk2)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk3,complement(sk2))),meet(sk3,complement(sk2))) )],[refute_0_1834,refute_0_1844]) ).
cnf(refute_0_1846,plain,
converse(converse(meet(sk3,complement(sk1)))) = meet(sk3,complement(sk1)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_1847,plain,
meet(converse(sk3),complement(converse(sk1))) = join(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),
inference(subst,[],[refute_0_441:[bind(X_140,$fot(converse(meet(sk3,complement(sk1))))),bind(X_141,$fot(meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_1848,plain,
complement(converse(join(sk1,complement(sk3)))) = join(complement(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(meet(converse(sk3),complement(converse(sk1))))),bind(X_93,$fot(converse(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1849,plain,
converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))),
inference(subst,[],[refute_0_754:[bind(X_10,$fot(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))),bind(X_9,$fot(sk1))]]) ).
cnf(refute_0_1850,plain,
join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) = top,
inference(subst,[],[refute_0_286:[bind(B,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(X_15,$fot(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1851,plain,
converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = converse(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),
inference(subst,[],[refute_0_754:[bind(X_10,$fot(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),bind(X_9,$fot(converse(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1852,plain,
converse(sk3) = join(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),
inference(subst,[],[refute_0_434:[bind(X_114,$fot(converse(meet(sk3,join(sk1,complement(sk3)))))),bind(X_115,$fot(converse(sk3)))]]) ).
cnf(refute_0_1853,plain,
converse(B) = meet(converse(B),join(converse(A),converse(B))),
inference(subst,[],[refute_0_570:[bind(X_17,$fot(converse(A))),bind(X_93,$fot(converse(B)))]]) ).
cnf(refute_0_1854,plain,
( converse(B) != meet(converse(B),join(converse(A),converse(B)))
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(B) = meet(converse(B),converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(B),meet(converse(B),join(converse(A),converse(B)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_1855,plain,
( converse(B) != meet(converse(B),join(converse(A),converse(B)))
| converse(B) = meet(converse(B),converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_750,refute_0_1854]) ).
cnf(refute_0_1856,plain,
converse(B) = meet(converse(B),converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(B),meet(converse(B),join(converse(A),converse(B)))) )],[refute_0_1853,refute_0_1855]) ).
cnf(refute_0_1857,plain,
converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_1856:[bind(A,$fot(complement(join(sk1,complement(sk3))))),bind(B,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1858,plain,
sk3 = join(meet(sk3,complement(join(sk1,complement(sk3)))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_427:[bind(B,$fot(complement(join(sk1,complement(sk3))))),bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_1859,plain,
( meet(sk3,complement(join(sk1,complement(sk3)))) != complement(join(sk1,complement(sk3)))
| sk3 != join(meet(sk3,complement(join(sk1,complement(sk3)))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(meet(sk3,complement(join(sk1,complement(sk3)))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) ),[1,0],$fot(complement(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1860,plain,
( sk3 != join(meet(sk3,complement(join(sk1,complement(sk3)))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(join(sk1,complement(sk3)))),complement(join(sk1,complement(sk3)))) )],[refute_0_1320,refute_0_1859]) ).
cnf(refute_0_1861,plain,
sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(sk3,join(meet(sk3,complement(join(sk1,complement(sk3)))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) )],[refute_0_1858,refute_0_1860]) ).
cnf(refute_0_1862,plain,
complement(complement(join(sk1,complement(sk3)))) = join(sk1,complement(sk3)),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1863,plain,
meet(sk3,complement(complement(join(sk1,complement(sk3))))) = meet(sk3,complement(complement(join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(sk3,complement(complement(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1864,plain,
( complement(complement(join(sk1,complement(sk3)))) != join(sk1,complement(sk3))
| meet(sk3,complement(complement(join(sk1,complement(sk3))))) != meet(sk3,complement(complement(join(sk1,complement(sk3)))))
| meet(sk3,complement(complement(join(sk1,complement(sk3))))) = meet(sk3,join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(complement(join(sk1,complement(sk3))))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) ),[1,1],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1865,plain,
( complement(complement(join(sk1,complement(sk3)))) != join(sk1,complement(sk3))
| meet(sk3,complement(complement(join(sk1,complement(sk3))))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(complement(join(sk1,complement(sk3))))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
meet(sk3,complement(complement(join(sk1,complement(sk3))))) = meet(sk3,join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,complement(sk3)))),join(sk1,complement(sk3))) )],[refute_0_1862,refute_0_1865]) ).
cnf(refute_0_1867,plain,
join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) = join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1868,plain,
( join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) != join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))
| meet(sk3,complement(complement(join(sk1,complement(sk3))))) != meet(sk3,join(sk1,complement(sk3)))
| join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) ),[1,1],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1869,plain,
( meet(sk3,complement(complement(join(sk1,complement(sk3))))) != meet(sk3,join(sk1,complement(sk3)))
| join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(sk3,complement(complement(join(sk1,complement(sk3))))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_1866,refute_0_1869]) ).
cnf(refute_0_1871,plain,
( join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))) != join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))
| sk3 != join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(sk3,join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) ),[1],$fot(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1872,plain,
( sk3 != join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))
| sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3)))))),join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
sk3 = join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(sk3,join(complement(join(sk1,complement(sk3))),meet(sk3,complement(complement(join(sk1,complement(sk3))))))) )],[refute_0_1861,refute_0_1872]) ).
cnf(refute_0_1874,plain,
( sk3 != join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))
| join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) = sk3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1875,plain,
join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) = sk3,
inference(resolve,[$cnf( $equal(sk3,join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))))
| join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))) != sk3
| converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))))) ),[1,1,0],$fot(sk3)]]) ).
cnf(refute_0_1877,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))))
| converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3)))),sk3) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)),
inference(resolve,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(join(complement(join(sk1,complement(sk3))),meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1857,refute_0_1877]) ).
cnf(refute_0_1879,plain,
meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)) = meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(converse(sk3))),bind(X_35,$fot(converse(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1880,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3))
| meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)) != meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))
| converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))) ),[0],$fot(meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)))]]) ).
cnf(refute_0_1881,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3))
| converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3)),meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
converse(meet(sk3,join(sk1,complement(sk3)))) = meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk3))) )],[refute_0_1878,refute_0_1881]) ).
cnf(refute_0_1883,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))
| meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))) = converse(meet(sk3,join(sk1,complement(sk3)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(sk3,join(sk1,complement(sk3)))))),bind(Y,$fot(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1884,plain,
meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))) = converse(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
( converse(sk3) != join(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))
| meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))) != converse(meet(sk3,join(sk1,complement(sk3))))
| converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))) ),[1,0],$fot(converse(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1886,plain,
( converse(sk3) != join(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))
| converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),converse(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1884,refute_0_1885]) ).
cnf(refute_0_1887,plain,
converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),
inference(resolve,[$cnf( $equal(converse(sk3),join(meet(converse(sk3),converse(meet(sk3,join(sk1,complement(sk3))))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))) )],[refute_0_1852,refute_0_1886]) ).
cnf(refute_0_1888,plain,
meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)) = meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(converse(sk3))),bind(X_35,$fot(complement(converse(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1889,plain,
join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),
introduced(tautology,[refl,[$fot(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))))]]) ).
cnf(refute_0_1890,plain,
( join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) != join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))
| meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)) != meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))
| join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))) ),[1,1],$fot(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1891,plain,
( meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)) != meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))
| join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))) )],[refute_0_1889,refute_0_1890]) ).
cnf(refute_0_1892,plain,
join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1888,refute_0_1891]) ).
cnf(refute_0_1893,plain,
( converse(sk3) != join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))
| join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))) != join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk3),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) ),[0],$fot(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))))]]) ).
cnf(refute_0_1894,plain,
( converse(sk3) != join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))
| converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3))),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1892,refute_0_1893]) ).
cnf(refute_0_1895,plain,
converse(sk3) = join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),
inference(resolve,[$cnf( $equal(converse(sk3),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(complement(converse(meet(sk3,join(sk1,complement(sk3))))),converse(sk3)))) )],[refute_0_1887,refute_0_1894]) ).
cnf(refute_0_1896,plain,
( converse(sk3) != join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = converse(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk3))),bind(Y,$fot(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1897,plain,
join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = converse(sk3),
inference(resolve,[$cnf( $equal(converse(sk3),join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != converse(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))
| join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != converse(sk3)
| converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = converse(converse(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),converse(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) ),[1,0],$fot(converse(sk3))]]) ).
cnf(refute_0_1899,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != converse(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))
| converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = converse(converse(sk3)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),converse(sk3)) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = converse(converse(sk3)),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),converse(join(converse(meet(sk3,join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) )],[refute_0_1851,refute_0_1899]) ).
cnf(refute_0_1901,plain,
join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))) = join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(B,$fot(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1902,plain,
converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_964:[bind(A,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(X_9,$fot(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1903,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3))))
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))) != join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))
| converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))))),bind(Y,$fot(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))))),bind(Z,$fot(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))]]) ).
cnf(refute_0_1904,plain,
( join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))) != join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))
| converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),meet(sk3,join(sk1,complement(sk3)))),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) )],[refute_0_1901,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != converse(converse(sk3))
| converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = converse(converse(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),converse(converse(sk3))) ),[0],$fot(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1907,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != converse(converse(sk3))
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = converse(converse(sk3)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
( converse(converse(sk3)) != sk3
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) != converse(converse(sk3))
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),converse(converse(sk3))) ),[1],$fot(sk3)]]) ).
cnf(refute_0_1909,plain,
( join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) != converse(converse(sk3))
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = sk3 ),
inference(resolve,[$cnf( $equal(converse(converse(sk3)),sk3) )],[refute_0_971,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))) != converse(converse(sk3))
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = sk3 ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),converse(converse(sk3))) )],[refute_0_1907,refute_0_1909]) ).
cnf(refute_0_1911,plain,
join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) = sk3,
inference(resolve,[$cnf( $equal(converse(join(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),converse(meet(sk3,join(sk1,complement(sk3)))))),converse(converse(sk3))) )],[refute_0_1900,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) != top
| join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) != sk3
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))),top) ),[0,1,1,0],$fot(sk3)]]) ).
cnf(refute_0_1913,plain,
( join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) != top
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = top ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk3) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = top,
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))),top) )],[refute_0_1850,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(sk3))),bind(B,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1916,plain,
join(sk1,complement(sk3)) = join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_427:[bind(B,$fot(complement(meet(sk3,join(sk1,complement(sk3)))))),bind(X_93,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1917,plain,
( join(sk1,complement(sk3)) != join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))) != complement(sk3)
| join(sk1,complement(sk3)) = join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_1918,plain,
( join(sk1,complement(sk3)) != join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),complement(sk3)) )],[refute_0_1344,refute_0_1917]) ).
cnf(refute_0_1919,plain,
join(sk1,complement(sk3)) = join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(meet(join(sk1,complement(sk3)),complement(meet(sk3,join(sk1,complement(sk3))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1916,refute_0_1918]) ).
cnf(refute_0_1920,plain,
complement(complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk3,join(sk1,complement(sk3))),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1921,plain,
meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1922,plain,
( complement(complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk3,join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) ),[1,1],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1923,plain,
( complement(complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk3,join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_1920,refute_0_1923]) ).
cnf(refute_0_1925,plain,
( meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))
| meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk3,join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))),bind(Y,$fot(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))))),bind(Z,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1926,plain,
( meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk3,join(sk1,complement(sk3)))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))),meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),meet(sk3,join(sk1,complement(sk3)))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_1574,refute_0_1926]) ).
cnf(refute_0_1928,plain,
join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) = join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),
introduced(tautology,[refl,[$fot(join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1929,plain,
( join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) != join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))
| meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,join(sk1,complement(sk3)))
| join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,1],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1930,plain,
( meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,join(sk1,complement(sk3)))
| join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_1927,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))) != join(complement(sk3),meet(sk3,join(sk1,complement(sk3))))
| join(sk1,complement(sk3)) != join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1],$fot(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1933,plain,
( join(sk1,complement(sk3)) != join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,complement(sk3)) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3))))))),join(complement(sk3),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(sk1,complement(sk3)) = join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),meet(join(sk1,complement(sk3)),complement(complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1919,refute_0_1933]) ).
cnf(refute_0_1935,plain,
( join(sk1,complement(sk3)) != join(complement(sk3),meet(sk3,join(sk1,complement(sk3))))
| join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) = join(sk1,complement(sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(sk3)))),bind(Y,$fot(join(complement(sk3),meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1936,plain,
join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) = join(sk1,complement(sk3)),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk3)),join(complement(sk3),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) != join(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),C)
| join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))) != join(sk1,complement(sk3))
| join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(join(sk1,complement(sk3)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)),join(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),C)) ),[1,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1938,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) != join(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),C)
| join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(join(sk1,complement(sk3)),C) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),join(sk1,complement(sk3))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(join(sk1,complement(sk3)),C),
inference(resolve,[$cnf( $equal(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)),join(join(complement(sk3),meet(sk3,join(sk1,complement(sk3)))),C)) )],[refute_0_1915,refute_0_1938]) ).
cnf(refute_0_1940,plain,
join(join(sk1,complement(sk3)),C) = join(sk1,join(complement(sk3),C)),
inference(subst,[],[refute_0_272:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk3)))]]) ).
cnf(refute_0_1941,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) != join(join(sk1,complement(sk3)),C)
| join(join(sk1,complement(sk3)),C) != join(sk1,join(complement(sk3),C))
| join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(sk1,join(complement(sk3),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)),join(sk1,join(complement(sk3),C))) ),[0],$fot(join(join(sk1,complement(sk3)),C))]]) ).
cnf(refute_0_1942,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) != join(join(sk1,complement(sk3)),C)
| join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(sk1,join(complement(sk3),C)) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(sk3)),C),join(sk1,join(complement(sk3),C))) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)) = join(sk1,join(complement(sk3),C)),
inference(resolve,[$cnf( $equal(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),C)),join(join(sk1,complement(sk3)),C)) )],[refute_0_1939,refute_0_1942]) ).
cnf(refute_0_1944,plain,
join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) = join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))),
inference(subst,[],[refute_0_1943:[bind(C,$fot(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1945,plain,
( join(X_6,join(X_7,X_8)) != join(X_8,join(X_7,X_6))
| join(X_8,join(X_7,X_6)) = join(X_6,join(X_7,X_8)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,join(X_7,X_8)))),bind(Y,$fot(join(X_8,join(X_7,X_6))))]]) ).
cnf(refute_0_1946,plain,
join(X_8,join(X_7,X_6)) = join(X_6,join(X_7,X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(X_8,join(X_7,X_6))) )],[refute_0_388,refute_0_1945]) ).
cnf(refute_0_1947,plain,
join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))),
inference(subst,[],[refute_0_1946:[bind(X_6,$fot(complement(sk3))),bind(X_7,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(X_8,$fot(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1948,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) != join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) != join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))))),bind(Y,$fot(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))),bind(Z,$fot(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))))]]) ).
cnf(refute_0_1949,plain,
( join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) != join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))),join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) = join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))),
inference(resolve,[$cnf( $equal(join(complement(sk3),join(meet(sk3,join(sk1,complement(sk3))),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))),join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) )],[refute_0_1944,refute_0_1949]) ).
cnf(refute_0_1951,plain,
( join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) != join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))
| join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) != top
| join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))),top) ),[0],$fot(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))]]) ).
cnf(refute_0_1952,plain,
( join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))) != top
| join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))),join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) )],[refute_0_1950,refute_0_1951]) ).
cnf(refute_0_1953,plain,
join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) = top,
inference(resolve,[$cnf( $equal(join(converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(meet(sk3,join(sk1,complement(sk3))),complement(sk3))),top) )],[refute_0_1914,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))
| join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))) != top
| converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1955,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))
| converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))),top) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) )],[refute_0_1849,refute_0_1955]) ).
cnf(refute_0_1957,plain,
converse(join(A,join(X_52,converse(X_51)))) = join(converse(A),converse(join(X_52,converse(X_51)))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(join(X_52,converse(X_51))))]]) ).
cnf(refute_0_1958,plain,
converse(join(X_52,converse(X_51))) = join(converse(X_52),X_51),
inference(subst,[],[refute_0_964:[bind(A,$fot(X_51)),bind(X_9,$fot(X_52))]]) ).
cnf(refute_0_1959,plain,
( converse(join(A,join(X_52,converse(X_51)))) != join(converse(A),converse(join(X_52,converse(X_51))))
| converse(join(X_52,converse(X_51))) != join(converse(X_52),X_51)
| converse(join(A,join(X_52,converse(X_51)))) = join(converse(A),join(converse(X_52),X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_52,converse(X_51)))),join(converse(A),converse(join(X_52,converse(X_51))))) ),[1,1],$fot(join(converse(X_52),X_51))]]) ).
cnf(refute_0_1960,plain,
( converse(join(A,join(X_52,converse(X_51)))) != join(converse(A),converse(join(X_52,converse(X_51))))
| converse(join(A,join(X_52,converse(X_51)))) = join(converse(A),join(converse(X_52),X_51)) ),
inference(resolve,[$cnf( $equal(converse(join(X_52,converse(X_51))),join(converse(X_52),X_51)) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
converse(join(A,join(X_52,converse(X_51)))) = join(converse(A),join(converse(X_52),X_51)),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_52,converse(X_51)))),join(converse(A),converse(join(X_52,converse(X_51))))) )],[refute_0_1957,refute_0_1960]) ).
cnf(refute_0_1962,plain,
join(converse(X_9),join(converse(X_10),C)) = join(join(converse(X_9),converse(X_10)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(X_9))),bind(B,$fot(converse(X_10)))]]) ).
cnf(refute_0_1963,plain,
( join(converse(X_9),converse(X_10)) != converse(join(X_9,X_10))
| join(converse(X_9),join(converse(X_10),C)) != join(join(converse(X_9),converse(X_10)),C)
| join(converse(X_9),join(converse(X_10),C)) = join(converse(join(X_9,X_10)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_9),join(converse(X_10),C)),join(join(converse(X_9),converse(X_10)),C)) ),[1,0],$fot(converse(join(X_9,X_10)))]]) ).
cnf(refute_0_1964,plain,
( join(converse(X_9),join(converse(X_10),C)) != join(join(converse(X_9),converse(X_10)),C)
| join(converse(X_9),join(converse(X_10),C)) = join(converse(join(X_9,X_10)),C) ),
inference(resolve,[$cnf( $equal(join(converse(X_9),converse(X_10)),converse(join(X_9,X_10))) )],[refute_0_745,refute_0_1963]) ).
cnf(refute_0_1965,plain,
join(converse(X_9),join(converse(X_10),C)) = join(converse(join(X_9,X_10)),C),
inference(resolve,[$cnf( $equal(join(converse(X_9),join(converse(X_10),C)),join(join(converse(X_9),converse(X_10)),C)) )],[refute_0_1962,refute_0_1964]) ).
cnf(refute_0_1966,plain,
join(converse(A),join(converse(X_52),X_51)) = join(converse(join(A,X_52)),X_51),
inference(subst,[],[refute_0_1965:[bind(C,$fot(X_51)),bind(X_10,$fot(X_52)),bind(X_9,$fot(A))]]) ).
cnf(refute_0_1967,plain,
( converse(join(A,join(X_52,converse(X_51)))) != join(converse(A),join(converse(X_52),X_51))
| join(converse(A),join(converse(X_52),X_51)) != join(converse(join(A,X_52)),X_51)
| converse(join(A,join(X_52,converse(X_51)))) = join(converse(join(A,X_52)),X_51) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,join(X_52,converse(X_51)))),join(converse(join(A,X_52)),X_51)) ),[0],$fot(join(converse(A),join(converse(X_52),X_51)))]]) ).
cnf(refute_0_1968,plain,
( converse(join(A,join(X_52,converse(X_51)))) != join(converse(A),join(converse(X_52),X_51))
| converse(join(A,join(X_52,converse(X_51)))) = join(converse(join(A,X_52)),X_51) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(converse(X_52),X_51)),join(converse(join(A,X_52)),X_51)) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
converse(join(A,join(X_52,converse(X_51)))) = join(converse(join(A,X_52)),X_51),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_52,converse(X_51)))),join(converse(A),join(converse(X_52),X_51))) )],[refute_0_1961,refute_0_1968]) ).
cnf(refute_0_1970,plain,
converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_1969:[bind(A,$fot(sk1)),bind(X_51,$fot(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),bind(X_52,$fot(complement(sk3)))]]) ).
cnf(refute_0_1971,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))
| converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) != join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)))),bind(Y,$fot(converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))))),bind(Z,$fot(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))]]) ).
cnf(refute_0_1972,plain,
( converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))) != join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))))) )],[refute_0_1849,refute_0_1971]) ).
cnf(refute_0_1973,plain,
converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))))),join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1970,refute_0_1972]) ).
cnf(refute_0_1974,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(top)
| converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),converse(top)) ),[0],$fot(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1975,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(top)
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
( converse(top) != top
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != converse(top)
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1977,plain,
( join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != converse(top)
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_838,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)) != converse(top)
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),converse(top)) )],[refute_0_1975,refute_0_1977]) ).
cnf(refute_0_1979,plain,
join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk3),converse(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))),sk1)),converse(top)) )],[refute_0_1956,refute_0_1978]) ).
cnf(refute_0_1980,plain,
sk1 = join(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),
inference(subst,[],[refute_0_434:[bind(X_114,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(X_115,$fot(sk1))]]) ).
cnf(refute_0_1981,plain,
meet(sk3,join(sk1,complement(sk3))) = meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))),
inference(subst,[],[refute_0_360:[bind(X_186,$fot(sk1)),bind(X_93,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1982,plain,
top = join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[def_top_12:[bind(A,$fot(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1983,plain,
( complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(sk1,complement(sk3))
| top != join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| top = join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,1],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_1984,plain,
( top != join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| top = join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),join(sk1,complement(sk3))) )],[refute_0_1599,refute_0_1983]) ).
cnf(refute_0_1985,plain,
top = join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(top,join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1982,refute_0_1984]) ).
cnf(refute_0_1986,plain,
join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_1987,plain,
( join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))
| meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(join(sk1,complement(sk3)))
| join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(complement(sk3),complement(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) ),[1,1],$fot(complement(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_1988,plain,
( meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))) != complement(join(sk1,complement(sk3)))
| join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(complement(sk3),complement(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(complement(sk3),complement(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),complement(join(sk1,complement(sk3)))) )],[refute_0_1602,refute_0_1988]) ).
cnf(refute_0_1990,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(complement(sk3),complement(join(sk1,complement(sk3))))
| join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))),bind(Y,$fot(join(complement(sk3),complement(join(sk1,complement(sk3)))))),bind(Z,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_1991,plain,
( join(complement(sk3),complement(join(sk1,complement(sk3)))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = complement(meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),join(complement(sk3),complement(join(sk1,complement(sk3))))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) = complement(meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(join(complement(sk3),complement(join(sk1,complement(sk3)))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1324,refute_0_1991]) ).
cnf(refute_0_1993,plain,
join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) = join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_1994,plain,
( join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) != join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,1],$fot(complement(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_1995,plain,
( join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))) != complement(meet(sk3,join(sk1,complement(sk3))))
| join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))),complement(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
join(X_71,join(X_72,X_73)) = join(X_72,join(X_71,X_73)),
inference(subst,[],[refute_0_375:[bind(X_6,$fot(X_71)),bind(X_7,$fot(X_72)),bind(X_8,$fot(X_73))]]) ).
cnf(refute_0_1998,plain,
join(X_73,X_72) = join(X_72,X_73),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_73)),bind(B,$fot(X_72))]]) ).
cnf(refute_0_1999,plain,
( join(X_73,X_72) != join(X_72,X_73)
| join(X_72,X_73) = join(X_73,X_72) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,X_72))),bind(Y,$fot(join(X_72,X_73)))]]) ).
cnf(refute_0_2000,plain,
join(X_72,X_73) = join(X_73,X_72),
inference(resolve,[$cnf( $equal(join(X_73,X_72),join(X_72,X_73)) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
( join(X_71,join(X_72,X_73)) != join(X_72,join(X_71,X_73))
| join(X_72,X_73) != join(X_73,X_72)
| join(X_71,join(X_73,X_72)) = join(X_72,join(X_71,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_71,join(X_72,X_73)),join(X_72,join(X_71,X_73))) ),[0,1],$fot(join(X_73,X_72))]]) ).
cnf(refute_0_2002,plain,
( join(X_71,join(X_72,X_73)) != join(X_72,join(X_71,X_73))
| join(X_71,join(X_73,X_72)) = join(X_72,join(X_71,X_73)) ),
inference(resolve,[$cnf( $equal(join(X_72,X_73),join(X_73,X_72)) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
join(X_71,join(X_73,X_72)) = join(X_72,join(X_71,X_73)),
inference(resolve,[$cnf( $equal(join(X_71,join(X_72,X_73)),join(X_72,join(X_71,X_73))) )],[refute_0_1997,refute_0_2002]) ).
cnf(refute_0_2004,plain,
( join(X_71,join(X_73,X_72)) != join(X_72,join(X_71,X_73))
| join(X_72,join(X_71,X_73)) = join(X_71,join(X_73,X_72)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_71,join(X_73,X_72)))),bind(Y,$fot(join(X_72,join(X_71,X_73))))]]) ).
cnf(refute_0_2005,plain,
join(X_72,join(X_71,X_73)) = join(X_71,join(X_73,X_72)),
inference(resolve,[$cnf( $equal(join(X_71,join(X_73,X_72)),join(X_72,join(X_71,X_73))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) = join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),
inference(subst,[],[refute_0_2005:[bind(X_71,$fot(sk1)),bind(X_72,$fot(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),bind(X_73,$fot(complement(sk3)))]]) ).
cnf(refute_0_2007,plain,
( join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) != join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))
| join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) != join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))))),bind(Y,$fot(join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))))),bind(Z,$fot(join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2008,plain,
( join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))) != join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))),join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_2006,refute_0_2007]) ).
cnf(refute_0_2009,plain,
join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk3),meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))))),join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_1996,refute_0_2008]) ).
cnf(refute_0_2010,plain,
( join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))) != join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| top != join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3)))
| top = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3)))) ),[1],$fot(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2011,plain,
( top != join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3)))
| top = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3))),join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
top = join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),
inference(resolve,[$cnf( $equal(top,join(meet(sk3,complement(meet(sk3,join(sk1,complement(sk3))))),join(sk1,complement(sk3)))) )],[refute_0_1985,refute_0_2011]) ).
cnf(refute_0_2013,plain,
( top != join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2014,plain,
join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
( join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) != top
| meet(sk3,join(sk1,complement(sk3))) != meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))))
| meet(sk3,join(sk1,complement(sk3))) = meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2016,plain,
( meet(sk3,join(sk1,complement(sk3))) != meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))))
| meet(sk3,join(sk1,complement(sk3))) = meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),top) )],[refute_0_2014,refute_0_2015]) ).
cnf(refute_0_2017,plain,
meet(sk3,join(sk1,complement(sk3))) = meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))),
inference(resolve,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(join(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))))) )],[refute_0_1981,refute_0_2016]) ).
cnf(refute_0_2018,plain,
B = join(meet(B,B),complement(join(complement(B),B))),
inference(subst,[],[refute_0_23:[bind(A,$fot(B))]]) ).
cnf(refute_0_2019,plain,
( B != join(meet(B,B),complement(join(complement(B),B)))
| meet(B,B) != B
| B = join(B,complement(join(complement(B),B))) ),
introduced(tautology,[equality,[$cnf( $equal(B,join(meet(B,B),complement(join(complement(B),B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_2020,plain,
( B != join(meet(B,B),complement(join(complement(B),B)))
| B = join(B,complement(join(complement(B),B))) ),
inference(resolve,[$cnf( $equal(meet(B,B),B) )],[refute_0_318,refute_0_2019]) ).
cnf(refute_0_2021,plain,
B = join(B,complement(join(complement(B),B))),
inference(resolve,[$cnf( $equal(B,join(meet(B,B),complement(join(complement(B),B)))) )],[refute_0_2018,refute_0_2020]) ).
cnf(refute_0_2022,plain,
join(B,complement(B)) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(B))]]) ).
cnf(refute_0_2023,plain,
join(complement(B),B) = join(B,complement(B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_2024,plain,
( join(B,complement(B)) != top
| join(complement(B),B) != join(B,complement(B))
| join(complement(B),B) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(B),B))),bind(Y,$fot(join(B,complement(B)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2025,plain,
( join(B,complement(B)) != top
| join(complement(B),B) = top ),
inference(resolve,[$cnf( $equal(join(complement(B),B),join(B,complement(B))) )],[refute_0_2023,refute_0_2024]) ).
cnf(refute_0_2026,plain,
join(complement(B),B) = top,
inference(resolve,[$cnf( $equal(join(B,complement(B)),top) )],[refute_0_2022,refute_0_2025]) ).
cnf(refute_0_2027,plain,
complement(join(complement(B),B)) = complement(join(complement(B),B)),
introduced(tautology,[refl,[$fot(complement(join(complement(B),B)))]]) ).
cnf(refute_0_2028,plain,
( complement(join(complement(B),B)) != complement(join(complement(B),B))
| join(complement(B),B) != top
| complement(join(complement(B),B)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(B),B)),complement(join(complement(B),B))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2029,plain,
( join(complement(B),B) != top
| complement(join(complement(B),B)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(B),B)),complement(join(complement(B),B))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
complement(join(complement(B),B)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(B),B),top) )],[refute_0_2026,refute_0_2029]) ).
cnf(refute_0_2031,plain,
( complement(join(complement(B),B)) != complement(top)
| complement(top) != zero
| complement(join(complement(B),B)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(B),B)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2032,plain,
( complement(top) != zero
| complement(join(complement(B),B)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(B),B)),complement(top)) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
complement(join(complement(B),B)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2032]) ).
cnf(refute_0_2034,plain,
join(B,complement(join(complement(B),B))) = join(B,complement(join(complement(B),B))),
introduced(tautology,[refl,[$fot(join(B,complement(join(complement(B),B))))]]) ).
cnf(refute_0_2035,plain,
( complement(join(complement(B),B)) != zero
| join(B,complement(join(complement(B),B))) != join(B,complement(join(complement(B),B)))
| join(B,complement(join(complement(B),B))) = join(B,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,complement(join(complement(B),B))),join(B,complement(join(complement(B),B)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2036,plain,
( complement(join(complement(B),B)) != zero
| join(B,complement(join(complement(B),B))) = join(B,zero) ),
inference(resolve,[$cnf( $equal(join(B,complement(join(complement(B),B))),join(B,complement(join(complement(B),B)))) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
join(B,complement(join(complement(B),B))) = join(B,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(B),B)),zero) )],[refute_0_2033,refute_0_2036]) ).
cnf(refute_0_2038,plain,
( B != join(B,complement(join(complement(B),B)))
| join(B,complement(join(complement(B),B))) != join(B,zero)
| B = join(B,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(B,join(B,zero)) ),[0],$fot(join(B,complement(join(complement(B),B))))]]) ).
cnf(refute_0_2039,plain,
( B != join(B,complement(join(complement(B),B)))
| B = join(B,zero) ),
inference(resolve,[$cnf( $equal(join(B,complement(join(complement(B),B))),join(B,zero)) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
B = join(B,zero),
inference(resolve,[$cnf( $equal(B,join(B,complement(join(complement(B),B)))) )],[refute_0_2021,refute_0_2039]) ).
cnf(refute_0_2041,plain,
( B != join(B,zero)
| join(B,zero) = B ),
inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(join(B,zero)))]]) ).
cnf(refute_0_2042,plain,
join(B,zero) = B,
inference(resolve,[$cnf( $equal(B,join(B,zero)) )],[refute_0_2040,refute_0_2041]) ).
cnf(refute_0_2043,plain,
join(sk1,zero) = sk1,
inference(subst,[],[refute_0_2042:[bind(B,$fot(sk1))]]) ).
cnf(refute_0_2044,plain,
join(sk1,complement(top)) = join(sk1,complement(top)),
introduced(tautology,[refl,[$fot(join(sk1,complement(top)))]]) ).
cnf(refute_0_2045,plain,
( complement(top) != zero
| join(sk1,complement(top)) != join(sk1,complement(top))
| join(sk1,complement(top)) = join(sk1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(top)),join(sk1,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2046,plain,
( complement(top) != zero
| join(sk1,complement(top)) = join(sk1,zero) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(top)),join(sk1,complement(top))) )],[refute_0_2044,refute_0_2045]) ).
cnf(refute_0_2047,plain,
join(sk1,complement(top)) = join(sk1,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2046]) ).
cnf(refute_0_2048,plain,
( join(sk1,complement(top)) != join(sk1,zero)
| join(sk1,zero) != sk1
| join(sk1,complement(top)) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,complement(top)))),bind(Y,$fot(join(sk1,zero))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_2049,plain,
( join(sk1,zero) != sk1
| join(sk1,complement(top)) = sk1 ),
inference(resolve,[$cnf( $equal(join(sk1,complement(top)),join(sk1,zero)) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
join(sk1,complement(top)) = sk1,
inference(resolve,[$cnf( $equal(join(sk1,zero),sk1) )],[refute_0_2043,refute_0_2049]) ).
cnf(refute_0_2051,plain,
meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) = meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2052,plain,
( join(sk1,complement(top)) != sk1
| meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) != meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3))))
| meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))),meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2053,plain,
( join(sk1,complement(top)) != sk1
| meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))),meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2051,refute_0_2052]) ).
cnf(refute_0_2054,plain,
meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(join(sk1,complement(top)),sk1) )],[refute_0_2050,refute_0_2053]) ).
cnf(refute_0_2055,plain,
meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) = meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(join(sk1,complement(top)))),bind(X_35,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2056,plain,
( meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk1,meet(sk3,join(sk1,complement(sk3))))
| meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) != meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3))))
| meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))))),bind(Y,$fot(meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))))),bind(Z,$fot(meet(sk1,meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2057,plain,
( meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))) != meet(sk1,meet(sk3,join(sk1,complement(sk3))))
| meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))),meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2055,refute_0_2056]) ).
cnf(refute_0_2058,plain,
meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(top)),meet(sk3,join(sk1,complement(sk3)))),meet(sk1,meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2054,refute_0_2057]) ).
cnf(refute_0_2059,plain,
( meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))) != meet(sk1,meet(sk3,join(sk1,complement(sk3))))
| meet(sk3,join(sk1,complement(sk3))) != meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top)))
| meet(sk3,join(sk1,complement(sk3))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top)))) ),[1],$fot(meet(sk1,meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2060,plain,
( meet(sk3,join(sk1,complement(sk3))) != meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top)))
| meet(sk3,join(sk1,complement(sk3))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top))),meet(sk1,meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
meet(sk3,join(sk1,complement(sk3))) = meet(sk1,meet(sk3,join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),meet(meet(sk3,join(sk1,complement(sk3))),join(sk1,complement(top)))) )],[refute_0_2017,refute_0_2060]) ).
cnf(refute_0_2062,plain,
( meet(sk3,join(sk1,complement(sk3))) != meet(sk1,meet(sk3,join(sk1,complement(sk3))))
| meet(sk1,meet(sk3,join(sk1,complement(sk3)))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk3,join(sk1,complement(sk3))))),bind(Y,$fot(meet(sk1,meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2063,plain,
meet(sk1,meet(sk3,join(sk1,complement(sk3)))) = meet(sk3,join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),meet(sk1,meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
( meet(sk1,meet(sk3,join(sk1,complement(sk3)))) != meet(sk3,join(sk1,complement(sk3)))
| sk1 != join(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))
| sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) ),[1,0],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_2065,plain,
( sk1 != join(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))
| sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,meet(sk3,join(sk1,complement(sk3)))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) )],[refute_0_1980,refute_0_2065]) ).
cnf(refute_0_2067,plain,
meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1) = meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(sk1)),bind(X_35,$fot(complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2068,plain,
join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) = join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),
introduced(tautology,[refl,[$fot(join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)))]]) ).
cnf(refute_0_2069,plain,
( join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) != join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))
| meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1) != meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) ),[1,1],$fot(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2070,plain,
( meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1) != meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_2067,refute_0_2070]) ).
cnf(refute_0_2072,plain,
( join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)) != join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))
| sk1 != join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))
| sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) ),[1],$fot(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2073,plain,
( sk1 != join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))
| sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1)),join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_2071,refute_0_2072]) ).
cnf(refute_0_2074,plain,
sk1 = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk3,join(sk1,complement(sk3))),meet(complement(meet(sk3,join(sk1,complement(sk3)))),sk1))) )],[refute_0_2066,refute_0_2073]) ).
cnf(refute_0_2075,plain,
join(meet(sk3,join(sk1,complement(sk3))),zero) = meet(sk3,join(sk1,complement(sk3))),
inference(subst,[],[refute_0_2042:[bind(B,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2076,plain,
meet(sk1,complement(sk1)) = zero,
inference(subst,[],[refute_0_85:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_2077,plain,
meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2078,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk1,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2079,plain,
( complement(meet(sk3,join(sk1,complement(sk3)))) != complement(sk1)
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk1,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_2077,refute_0_2078]) ).
cnf(refute_0_2080,plain,
meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = meet(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(sk3,join(sk1,complement(sk3)))),complement(sk1)) )],[refute_0_1379,refute_0_2079]) ).
cnf(refute_0_2081,plain,
( meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) != meet(sk1,complement(sk1))
| meet(sk1,complement(sk1)) != zero
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))),bind(Y,$fot(meet(sk1,complement(sk1)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2082,plain,
( meet(sk1,complement(sk1)) != zero
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),meet(sk1,complement(sk1))) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,complement(sk1)),zero) )],[refute_0_2076,refute_0_2082]) ).
cnf(refute_0_2084,plain,
join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2085,plain,
( join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))
| meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) != zero
| join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2086,plain,
( meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))) != zero
| join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_2084,refute_0_2085]) ).
cnf(refute_0_2087,plain,
join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = join(meet(sk3,join(sk1,complement(sk3))),zero),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))),zero) )],[refute_0_2083,refute_0_2086]) ).
cnf(refute_0_2088,plain,
( join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) != join(meet(sk3,join(sk1,complement(sk3))),zero)
| join(meet(sk3,join(sk1,complement(sk3))),zero) != meet(sk3,join(sk1,complement(sk3)))
| join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))))),bind(Y,$fot(join(meet(sk3,join(sk1,complement(sk3))),zero))),bind(Z,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2089,plain,
( join(meet(sk3,join(sk1,complement(sk3))),zero) != meet(sk3,join(sk1,complement(sk3)))
| join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),join(meet(sk3,join(sk1,complement(sk3))),zero)) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) = meet(sk3,join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),zero),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_2075,refute_0_2089]) ).
cnf(refute_0_2091,plain,
( join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))) != meet(sk3,join(sk1,complement(sk3)))
| sk1 != join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))
| sk1 = meet(sk3,join(sk1,complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))) ),[1],$fot(meet(sk3,join(sk1,complement(sk3))))]]) ).
cnf(refute_0_2092,plain,
( sk1 != join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))
| sk1 = meet(sk3,join(sk1,complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3)))))),meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_2090,refute_0_2091]) ).
cnf(refute_0_2093,plain,
sk1 = meet(sk3,join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk3,join(sk1,complement(sk3))),meet(sk1,complement(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_2074,refute_0_2092]) ).
cnf(refute_0_2094,plain,
( sk1 != meet(sk3,join(sk1,complement(sk3)))
| meet(sk3,join(sk1,complement(sk3))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2095,plain,
meet(sk3,join(sk1,complement(sk3))) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk3,join(sk1,complement(sk3)))) )],[refute_0_2093,refute_0_2094]) ).
cnf(refute_0_2096,plain,
converse(meet(sk3,join(sk1,complement(sk3)))) = converse(meet(sk3,join(sk1,complement(sk3)))),
introduced(tautology,[refl,[$fot(converse(meet(sk3,join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2097,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != converse(meet(sk3,join(sk1,complement(sk3))))
| meet(sk3,join(sk1,complement(sk3))) != sk1
| converse(meet(sk3,join(sk1,complement(sk3)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),converse(meet(sk3,join(sk1,complement(sk3))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2098,plain,
( meet(sk3,join(sk1,complement(sk3))) != sk1
| converse(meet(sk3,join(sk1,complement(sk3)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),converse(meet(sk3,join(sk1,complement(sk3))))) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
converse(meet(sk3,join(sk1,complement(sk3)))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(sk3,join(sk1,complement(sk3))),sk1) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
complement(converse(meet(sk3,join(sk1,complement(sk3))))) = complement(converse(meet(sk3,join(sk1,complement(sk3))))),
introduced(tautology,[refl,[$fot(complement(converse(meet(sk3,join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2101,plain,
( complement(converse(meet(sk3,join(sk1,complement(sk3))))) != complement(converse(meet(sk3,join(sk1,complement(sk3)))))
| converse(meet(sk3,join(sk1,complement(sk3)))) != converse(sk1)
| complement(converse(meet(sk3,join(sk1,complement(sk3))))) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(sk3,join(sk1,complement(sk3))))),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_2102,plain,
( converse(meet(sk3,join(sk1,complement(sk3)))) != converse(sk1)
| complement(converse(meet(sk3,join(sk1,complement(sk3))))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(sk3,join(sk1,complement(sk3))))),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
complement(converse(meet(sk3,join(sk1,complement(sk3))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(meet(sk3,join(sk1,complement(sk3)))),converse(sk1)) )],[refute_0_2099,refute_0_2102]) ).
cnf(refute_0_2104,plain,
meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) = meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2105,plain,
( complement(converse(meet(sk3,join(sk1,complement(sk3))))) != complement(converse(sk1))
| meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) != meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))
| meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) = meet(converse(sk3),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_2106,plain,
( complement(converse(meet(sk3,join(sk1,complement(sk3))))) != complement(converse(sk1))
| meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) = meet(converse(sk3),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) = meet(converse(sk3),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(meet(sk3,join(sk1,complement(sk3))))),complement(converse(sk1))) )],[refute_0_2103,refute_0_2106]) ).
cnf(refute_0_2108,plain,
join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),
introduced(tautology,[refl,[$fot(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))))]]) ).
cnf(refute_0_2109,plain,
( join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))
| meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) != meet(converse(sk3),complement(converse(sk1)))
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) ),[1,1],$fot(meet(converse(sk3),complement(converse(sk1))))]]) ).
cnf(refute_0_2110,plain,
( meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))) != meet(converse(sk3),complement(converse(sk1)))
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))))) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) = join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3)))))),meet(converse(sk3),complement(converse(sk1)))) )],[refute_0_2107,refute_0_2110]) ).
cnf(refute_0_2112,plain,
( join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != top
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),top) ),[0],$fot(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2113,plain,
( join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))) != top
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(meet(sk3,join(sk1,complement(sk3))))))),top) )],[refute_0_1979,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( complement(converse(join(sk1,complement(sk3)))) != join(complement(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) != top
| complement(converse(join(sk1,complement(sk3)))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),join(complement(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2116,plain,
( complement(converse(join(sk1,complement(sk3)))) != join(complement(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| complement(converse(join(sk1,complement(sk3)))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))),top) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
complement(converse(join(sk1,complement(sk3)))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),join(complement(join(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_1848,refute_0_2116]) ).
cnf(refute_0_2118,plain,
converse(complement(join(sk1,complement(sk3)))) = complement(converse(join(sk1,complement(sk3)))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_2119,plain,
( complement(join(sk1,complement(sk3))) != meet(sk3,complement(sk1))
| converse(complement(join(sk1,complement(sk3)))) != complement(converse(join(sk1,complement(sk3))))
| converse(meet(sk3,complement(sk1))) = complement(converse(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(sk1,complement(sk3)))),complement(converse(join(sk1,complement(sk3))))) ),[0,0],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_2120,plain,
( converse(complement(join(sk1,complement(sk3)))) != complement(converse(join(sk1,complement(sk3))))
| converse(meet(sk3,complement(sk1))) = complement(converse(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(sk3))),meet(sk3,complement(sk1))) )],[refute_0_1611,refute_0_2119]) ).
cnf(refute_0_2121,plain,
converse(meet(sk3,complement(sk1))) = complement(converse(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(sk3)))),complement(converse(join(sk1,complement(sk3))))) )],[refute_0_2118,refute_0_2120]) ).
cnf(refute_0_2122,plain,
( converse(meet(sk3,complement(sk1))) != complement(converse(join(sk1,complement(sk3))))
| complement(converse(join(sk1,complement(sk3)))) = converse(meet(sk3,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(sk3,complement(sk1))))),bind(Y,$fot(complement(converse(join(sk1,complement(sk3))))))]]) ).
cnf(refute_0_2123,plain,
complement(converse(join(sk1,complement(sk3)))) = converse(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(sk3,complement(sk1))),complement(converse(join(sk1,complement(sk3))))) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
( complement(converse(join(sk1,complement(sk3)))) != converse(meet(sk3,complement(sk1)))
| complement(converse(join(sk1,complement(sk3)))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| converse(meet(sk3,complement(sk1))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) ),[0],$fot(converse(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2125,plain,
( complement(converse(join(sk1,complement(sk3)))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| converse(meet(sk3,complement(sk1))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2127,plain,
meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) = meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2128,plain,
( complement(converse(join(sk1,complement(sk3)))) != converse(meet(sk3,complement(sk1)))
| meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) != meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1))))
| meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1))))) ),[1,0],$fot(converse(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2129,plain,
( complement(converse(join(sk1,complement(sk3)))) != converse(meet(sk3,complement(sk1)))
| meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2123,refute_0_2129]) ).
cnf(refute_0_2131,plain,
meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) = meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(converse(join(sk1,complement(sk3)))))),bind(X_35,$fot(meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2132,plain,
( meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) != meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1))))
| meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))),bind(Y,$fot(meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))))),bind(Z,$fot(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2133,plain,
( meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))),meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(sk3)))),meet(converse(sk3),complement(converse(sk1)))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2130,refute_0_2133]) ).
cnf(refute_0_2135,plain,
join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2136,plain,
( join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) ),[1,1],$fot(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2137,plain,
( meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_2135,refute_0_2136]) ).
cnf(refute_0_2138,plain,
join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2134,refute_0_2137]) ).
cnf(refute_0_2139,plain,
join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2140,plain,
( complement(top) != zero
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2141,plain,
( complement(top) != zero
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_2139,refute_0_2140]) ).
cnf(refute_0_2142,plain,
join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2141]) ).
cnf(refute_0_2143,plain,
( join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))),bind(Y,$fot(join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))),bind(Z,$fot(join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_2144,plain,
( join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2138,refute_0_2144]) ).
cnf(refute_0_2146,plain,
( join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))
| join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))),bind(Y,$fot(join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))))),bind(Z,$fot(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2147,plain,
( join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2145,refute_0_2146]) ).
cnf(refute_0_2148,plain,
join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2126,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( converse(meet(sk3,complement(sk1))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| converse(meet(sk3,complement(sk1))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(sk3,complement(sk1))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) ),[0],$fot(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))))]]) ).
cnf(refute_0_2150,plain,
( converse(meet(sk3,complement(sk1))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| converse(meet(sk3,complement(sk1))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3)))))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
( complement(converse(join(sk1,complement(sk3)))) != join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))
| converse(meet(sk3,complement(sk1))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(sk3,complement(sk1))),join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_2125,refute_0_2150]) ).
cnf(refute_0_2152,plain,
converse(meet(sk3,complement(sk1))) = meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(sk3)))),join(complement(top),meet(meet(converse(sk3),complement(converse(sk1))),complement(converse(join(sk1,complement(sk3))))))) )],[refute_0_2117,refute_0_2151]) ).
cnf(refute_0_2153,plain,
( converse(meet(sk3,complement(sk1))) != meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))
| meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) = converse(meet(sk3,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(sk3,complement(sk1))))),bind(Y,$fot(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2154,plain,
meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) = converse(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(sk3,complement(sk1))),meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2152,refute_0_2153]) ).
cnf(refute_0_2155,plain,
( meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))) != converse(meet(sk3,complement(sk1)))
| meet(converse(sk3),complement(converse(sk1))) != join(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) ),[1,0],$fot(converse(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2156,plain,
( meet(converse(sk3),complement(converse(sk1))) != join(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(meet(converse(meet(sk3,complement(sk1))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_1847,refute_0_2156]) ).
cnf(refute_0_2158,plain,
converse(complement(meet(sk3,complement(sk1)))) = complement(converse(meet(sk3,complement(sk1)))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2159,plain,
( complement(meet(sk3,complement(sk1))) != join(sk1,complement(sk3))
| converse(complement(meet(sk3,complement(sk1)))) != complement(converse(meet(sk3,complement(sk1))))
| converse(join(sk1,complement(sk3))) = complement(converse(meet(sk3,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(sk3,complement(sk1)))),complement(converse(meet(sk3,complement(sk1))))) ),[0,0],$fot(join(sk1,complement(sk3)))]]) ).
cnf(refute_0_2160,plain,
( converse(complement(meet(sk3,complement(sk1)))) != complement(converse(meet(sk3,complement(sk1))))
| converse(join(sk1,complement(sk3))) = complement(converse(meet(sk3,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk3,complement(sk1))),join(sk1,complement(sk3))) )],[refute_0_1420,refute_0_2159]) ).
cnf(refute_0_2161,plain,
converse(join(sk1,complement(sk3))) = complement(converse(meet(sk3,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(sk3,complement(sk1)))),complement(converse(meet(sk3,complement(sk1))))) )],[refute_0_2158,refute_0_2160]) ).
cnf(refute_0_2162,plain,
( converse(join(sk1,complement(sk3))) != complement(converse(meet(sk3,complement(sk1))))
| complement(converse(meet(sk3,complement(sk1)))) = converse(join(sk1,complement(sk3))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(sk1,complement(sk3))))),bind(Y,$fot(complement(converse(meet(sk3,complement(sk1))))))]]) ).
cnf(refute_0_2163,plain,
complement(converse(meet(sk3,complement(sk1)))) = converse(join(sk1,complement(sk3))),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(sk3))),complement(converse(meet(sk3,complement(sk1))))) )],[refute_0_2161,refute_0_2162]) ).
cnf(refute_0_2164,plain,
meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) = meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2165,plain,
( complement(converse(meet(sk3,complement(sk1)))) != converse(join(sk1,complement(sk3)))
| meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) != meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))
| meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) ),[1,0],$fot(converse(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_2166,plain,
( complement(converse(meet(sk3,complement(sk1)))) != converse(join(sk1,complement(sk3)))
| meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2164,refute_0_2165]) ).
cnf(refute_0_2167,plain,
meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) = meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(sk3,complement(sk1)))),converse(join(sk1,complement(sk3)))) )],[refute_0_2163,refute_0_2166]) ).
cnf(refute_0_2168,plain,
join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2169,plain,
( join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) != join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))
| meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) != meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))
| join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) ),[1,1],$fot(meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2170,plain,
( meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))) != meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))
| join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2168,refute_0_2169]) ).
cnf(refute_0_2171,plain,
join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2167,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))) != join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) != join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) ),[1],$fot(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2173,plain,
( meet(converse(sk3),complement(converse(sk1))) != join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
meet(converse(sk3),complement(converse(sk1))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(converse(meet(sk3,complement(sk1))),meet(complement(converse(meet(sk3,complement(sk1)))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2157,refute_0_2173]) ).
cnf(refute_0_2175,plain,
join(zero,converse(meet(sk3,complement(sk1)))) = converse(meet(sk3,complement(sk1))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(converse(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_2176,plain,
join(A,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))) = join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),
inference(subst,[],[refute_0_382:[bind(X_7,$fot(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))))]]) ).
cnf(refute_0_2177,plain,
X_93 = join(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),meet(X_93,complement(join(X_138,meet(X_93,complement(X_138)))))),
inference(subst,[],[refute_0_427:[bind(B,$fot(join(X_138,meet(X_93,complement(X_138)))))]]) ).
cnf(refute_0_2178,plain,
X_93 = join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(join(complement(X_93),join(complement(X_35),meet(X_93,X_35))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_93)),bind(B,$fot(join(complement(X_35),meet(X_93,X_35))))]]) ).
cnf(refute_0_2179,plain,
top = join(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_34),complement(X_35))))]]) ).
cnf(refute_0_2180,plain,
( complement(join(complement(X_34),complement(X_35))) != meet(X_34,X_35)
| top != join(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))
| top = join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))) ),[1,1],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_2181,plain,
( top != join(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))
| top = join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_34),complement(X_35))),meet(X_34,X_35)) )],[refute_0_175,refute_0_2180]) ).
cnf(refute_0_2182,plain,
top = join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_34),complement(X_35)),complement(join(complement(X_34),complement(X_35))))) )],[refute_0_2179,refute_0_2181]) ).
cnf(refute_0_2183,plain,
join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) = join(complement(X_34),join(complement(X_35),meet(X_34,X_35))),
inference(subst,[],[refute_0_272:[bind(A,$fot(complement(X_34))),bind(B,$fot(complement(X_35))),bind(C,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_2184,plain,
( join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)) != join(complement(X_34),join(complement(X_35),meet(X_34,X_35)))
| top != join(join(complement(X_34),complement(X_35)),meet(X_34,X_35))
| top = join(complement(X_34),join(complement(X_35),meet(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_34),complement(X_35)),meet(X_34,X_35))) ),[1],$fot(join(complement(X_34),join(complement(X_35),meet(X_34,X_35))))]]) ).
cnf(refute_0_2185,plain,
( top != join(join(complement(X_34),complement(X_35)),meet(X_34,X_35))
| top = join(complement(X_34),join(complement(X_35),meet(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_34),complement(X_35)),meet(X_34,X_35)),join(complement(X_34),join(complement(X_35),meet(X_34,X_35)))) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
top = join(complement(X_34),join(complement(X_35),meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_34),complement(X_35)),meet(X_34,X_35))) )],[refute_0_2182,refute_0_2185]) ).
cnf(refute_0_2187,plain,
top = join(complement(X_93),join(complement(X_35),meet(X_93,X_35))),
inference(subst,[],[refute_0_2186:[bind(X_34,$fot(X_93))]]) ).
cnf(refute_0_2188,plain,
( top != join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))
| join(complement(X_93),join(complement(X_35),meet(X_93,X_35))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))))]]) ).
cnf(refute_0_2189,plain,
join(complement(X_93),join(complement(X_35),meet(X_93,X_35))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
( X_93 != join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))))
| join(complement(X_93),join(complement(X_35),meet(X_93,X_35))) != top
| X_93 = join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2191,plain,
( X_93 != join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))))
| X_93 = join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(complement(X_35),meet(X_93,X_35))),top) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
X_93 = join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(join(complement(X_93),join(complement(X_35),meet(X_93,X_35)))))) )],[refute_0_2178,refute_0_2191]) ).
cnf(refute_0_2193,plain,
join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) = join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))))]]) ).
cnf(refute_0_2194,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) != join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))),join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2195,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))),join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35))))) )],[refute_0_2193,refute_0_2194]) ).
cnf(refute_0_2196,plain,
join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2195]) ).
cnf(refute_0_2197,plain,
join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) = join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_93,join(complement(X_35),meet(X_93,X_35)))))]]) ).
cnf(refute_0_2198,plain,
( join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) != join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) != join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))))),bind(Z,$fot(join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))))]]) ).
cnf(refute_0_2199,plain,
( join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) != join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)),join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35))))) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(complement(X_35),meet(X_93,X_35)))),join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))) )],[refute_0_2196,refute_0_2199]) ).
cnf(refute_0_2201,plain,
( X_93 != join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top))
| join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)) != join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| X_93 = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))) ),[0],$fot(join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)))]]) ).
cnf(refute_0_2202,plain,
( X_93 != join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top))
| X_93 = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top)),join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))) )],[refute_0_2200,refute_0_2201]) ).
cnf(refute_0_2203,plain,
X_93 = join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(complement(X_35),meet(X_93,X_35))),complement(top))) )],[refute_0_2192,refute_0_2202]) ).
cnf(refute_0_2204,plain,
join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) = meet(X_93,join(complement(X_35),meet(X_93,X_35))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,join(complement(X_35),meet(X_93,X_35)))))]]) ).
cnf(refute_0_2205,plain,
( X_93 != join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) != meet(X_93,join(complement(X_35),meet(X_93,X_35)))
| X_93 = meet(X_93,join(complement(X_35),meet(X_93,X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,join(complement(X_35),meet(X_93,X_35)))) ),[0],$fot(join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))))]]) ).
cnf(refute_0_2206,plain,
( X_93 != join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))
| X_93 = meet(X_93,join(complement(X_35),meet(X_93,X_35))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35)))),meet(X_93,join(complement(X_35),meet(X_93,X_35)))) )],[refute_0_2204,refute_0_2205]) ).
cnf(refute_0_2207,plain,
X_93 = meet(X_93,join(complement(X_35),meet(X_93,X_35))),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,join(complement(X_35),meet(X_93,X_35))))) )],[refute_0_2203,refute_0_2206]) ).
cnf(refute_0_2208,plain,
X_134 = meet(X_134,join(complement(complement(X_93)),meet(X_134,complement(X_93)))),
inference(subst,[],[refute_0_2207:[bind(X_35,$fot(complement(X_93))),bind(X_93,$fot(X_134))]]) ).
cnf(refute_0_2209,plain,
( X_134 != meet(X_134,join(complement(complement(X_93)),meet(X_134,complement(X_93))))
| complement(complement(X_93)) != X_93
| X_134 = meet(X_134,join(X_93,meet(X_134,complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_134,meet(X_134,join(complement(complement(X_93)),meet(X_134,complement(X_93))))) ),[1,1,0],$fot(X_93)]]) ).
cnf(refute_0_2210,plain,
( X_134 != meet(X_134,join(complement(complement(X_93)),meet(X_134,complement(X_93))))
| X_134 = meet(X_134,join(X_93,meet(X_134,complement(X_93)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_2209]) ).
cnf(refute_0_2211,plain,
X_134 = meet(X_134,join(X_93,meet(X_134,complement(X_93)))),
inference(resolve,[$cnf( $equal(X_134,meet(X_134,join(complement(complement(X_93)),meet(X_134,complement(X_93))))) )],[refute_0_2208,refute_0_2210]) ).
cnf(refute_0_2212,plain,
X_93 = meet(X_93,join(X_138,meet(X_93,complement(X_138)))),
inference(subst,[],[refute_0_2211:[bind(X_134,$fot(X_93)),bind(X_93,$fot(X_138))]]) ).
cnf(refute_0_2213,plain,
( X_93 != meet(X_93,join(X_138,meet(X_93,complement(X_138))))
| meet(X_93,join(X_138,meet(X_93,complement(X_138)))) = X_93 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_93)),bind(Y,$fot(meet(X_93,join(X_138,meet(X_93,complement(X_138))))))]]) ).
cnf(refute_0_2214,plain,
meet(X_93,join(X_138,meet(X_93,complement(X_138)))) = X_93,
inference(resolve,[$cnf( $equal(X_93,meet(X_93,join(X_138,meet(X_93,complement(X_138))))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
( X_93 != join(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),meet(X_93,complement(join(X_138,meet(X_93,complement(X_138))))))
| meet(X_93,join(X_138,meet(X_93,complement(X_138)))) != X_93
| X_93 = join(X_93,meet(X_93,complement(join(X_138,meet(X_93,complement(X_138)))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),meet(X_93,complement(join(X_138,meet(X_93,complement(X_138))))))) ),[1,0],$fot(X_93)]]) ).
cnf(refute_0_2216,plain,
( X_93 != join(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),meet(X_93,complement(join(X_138,meet(X_93,complement(X_138))))))
| X_93 = join(X_93,meet(X_93,complement(join(X_138,meet(X_93,complement(X_138)))))) ),
inference(resolve,[$cnf( $equal(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),X_93) )],[refute_0_2214,refute_0_2215]) ).
cnf(refute_0_2217,plain,
X_93 = join(X_93,meet(X_93,complement(join(X_138,meet(X_93,complement(X_138)))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_138,meet(X_93,complement(X_138)))),meet(X_93,complement(join(X_138,meet(X_93,complement(X_138))))))) )],[refute_0_2177,refute_0_2216]) ).
cnf(refute_0_2218,plain,
X_6 = join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))),
inference(subst,[],[refute_0_2217:[bind(X_138,$fot(X_304)),bind(X_93,$fot(X_6))]]) ).
cnf(refute_0_2219,plain,
( X_6 != join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))
| join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))) = X_6 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_6)),bind(Y,$fot(join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))))]]) ).
cnf(refute_0_2220,plain,
join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))) = X_6,
inference(resolve,[$cnf( $equal(X_6,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))) )],[refute_0_2218,refute_0_2219]) ).
cnf(refute_0_2221,plain,
( join(A,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))) != join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))
| join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))) != X_6
| join(A,X_6) = join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))),join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_2222,plain,
( join(A,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))) != join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))
| join(A,X_6) = join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) ),
inference(resolve,[$cnf( $equal(join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304)))))),X_6) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
join(A,X_6) = join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(X_6,meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))))),join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))) )],[refute_0_2176,refute_0_2222]) ).
cnf(refute_0_2224,plain,
meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = complement(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7))))),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(X_411)),bind(X_403,$fot(join(X_7,complement(join(complement(X_411),X_7)))))]]) ).
cnf(refute_0_2225,plain,
top = join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))),
inference(subst,[],[refute_0_122:[bind(X_6,$fot(complement(X_411)))]]) ).
cnf(refute_0_2226,plain,
( top != join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7))))
| join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7))))))]]) ).
cnf(refute_0_2227,plain,
join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7))))) )],[refute_0_2225,refute_0_2226]) ).
cnf(refute_0_2228,plain,
( join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))) != top
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != complement(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))))
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),complement(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2229,plain,
( meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != complement(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))))
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))),top) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),complement(join(complement(X_411),join(X_7,complement(join(complement(X_411),X_7)))))) )],[refute_0_2224,refute_0_2229]) ).
cnf(refute_0_2231,plain,
complement(join(meet(X_411,complement(X_7)),X_7)) = complement(join(X_7,meet(X_411,complement(X_7)))),
inference(subst,[],[refute_0_1200:[bind(X_10,$fot(X_7)),bind(X_9,$fot(meet(X_411,complement(X_7))))]]) ).
cnf(refute_0_2232,plain,
meet(join(complement(X_411),X_7),complement(X_7)) = complement(join(meet(X_411,complement(X_7)),X_7)),
inference(subst,[],[refute_0_1208:[bind(X_403,$fot(X_7)),bind(X_412,$fot(X_7))]]) ).
cnf(refute_0_2233,plain,
( complement(join(meet(X_411,complement(X_7)),X_7)) != complement(join(X_7,meet(X_411,complement(X_7))))
| meet(join(complement(X_411),X_7),complement(X_7)) != complement(join(meet(X_411,complement(X_7)),X_7))
| meet(join(complement(X_411),X_7),complement(X_7)) = complement(join(X_7,meet(X_411,complement(X_7)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_411),X_7),complement(X_7)))),bind(Y,$fot(complement(join(meet(X_411,complement(X_7)),X_7)))),bind(Z,$fot(complement(join(X_7,meet(X_411,complement(X_7))))))]]) ).
cnf(refute_0_2234,plain,
( complement(join(meet(X_411,complement(X_7)),X_7)) != complement(join(X_7,meet(X_411,complement(X_7))))
| meet(join(complement(X_411),X_7),complement(X_7)) = complement(join(X_7,meet(X_411,complement(X_7)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_411),X_7),complement(X_7)),complement(join(meet(X_411,complement(X_7)),X_7))) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
meet(join(complement(X_411),X_7),complement(X_7)) = complement(join(X_7,meet(X_411,complement(X_7)))),
inference(resolve,[$cnf( $equal(complement(join(meet(X_411,complement(X_7)),X_7)),complement(join(X_7,meet(X_411,complement(X_7))))) )],[refute_0_2231,refute_0_2234]) ).
cnf(refute_0_2236,plain,
complement(join(complement(X_378),X_379)) = meet(X_378,complement(X_379)),
inference(subst,[],[refute_0_595:[bind(X_401,$fot(X_378)),bind(X_403,$fot(X_379))]]) ).
cnf(refute_0_2237,plain,
( complement(join(X_379,complement(X_378))) != complement(join(complement(X_378),X_379))
| complement(join(complement(X_378),X_379)) != meet(X_378,complement(X_379))
| complement(join(X_379,complement(X_378))) = meet(X_378,complement(X_379)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_379,complement(X_378))),meet(X_378,complement(X_379))) ),[0],$fot(complement(join(complement(X_378),X_379)))]]) ).
cnf(refute_0_2238,plain,
( complement(join(X_379,complement(X_378))) != complement(join(complement(X_378),X_379))
| complement(join(X_379,complement(X_378))) = meet(X_378,complement(X_379)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_378),X_379)),meet(X_378,complement(X_379))) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
complement(join(X_379,complement(X_378))) = meet(X_378,complement(X_379)),
inference(resolve,[$cnf( $equal(complement(join(X_379,complement(X_378))),complement(join(complement(X_378),X_379))) )],[refute_0_1758,refute_0_2238]) ).
cnf(refute_0_2240,plain,
complement(join(X_7,complement(join(complement(X_411),X_7)))) = meet(join(complement(X_411),X_7),complement(X_7)),
inference(subst,[],[refute_0_2239:[bind(X_378,$fot(join(complement(X_411),X_7))),bind(X_379,$fot(X_7))]]) ).
cnf(refute_0_2241,plain,
( complement(join(X_7,complement(join(complement(X_411),X_7)))) != meet(join(complement(X_411),X_7),complement(X_7))
| meet(join(complement(X_411),X_7),complement(X_7)) != complement(join(X_7,meet(X_411,complement(X_7))))
| complement(join(X_7,complement(join(complement(X_411),X_7)))) = complement(join(X_7,meet(X_411,complement(X_7)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(X_7,complement(join(complement(X_411),X_7)))))),bind(Y,$fot(meet(join(complement(X_411),X_7),complement(X_7)))),bind(Z,$fot(complement(join(X_7,meet(X_411,complement(X_7))))))]]) ).
cnf(refute_0_2242,plain,
( meet(join(complement(X_411),X_7),complement(X_7)) != complement(join(X_7,meet(X_411,complement(X_7))))
| complement(join(X_7,complement(join(complement(X_411),X_7)))) = complement(join(X_7,meet(X_411,complement(X_7)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_7,complement(join(complement(X_411),X_7)))),meet(join(complement(X_411),X_7),complement(X_7))) )],[refute_0_2240,refute_0_2241]) ).
cnf(refute_0_2243,plain,
complement(join(X_7,complement(join(complement(X_411),X_7)))) = complement(join(X_7,meet(X_411,complement(X_7)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_411),X_7),complement(X_7)),complement(join(X_7,meet(X_411,complement(X_7))))) )],[refute_0_2235,refute_0_2242]) ).
cnf(refute_0_2244,plain,
meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),
introduced(tautology,[refl,[$fot(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))))]]) ).
cnf(refute_0_2245,plain,
( complement(join(X_7,complement(join(complement(X_411),X_7)))) != complement(join(X_7,meet(X_411,complement(X_7))))
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7)))))
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7)))))) ),[1,1],$fot(complement(join(X_7,meet(X_411,complement(X_7)))))]]) ).
cnf(refute_0_2246,plain,
( complement(join(X_7,complement(join(complement(X_411),X_7)))) != complement(join(X_7,meet(X_411,complement(X_7))))
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) ),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7)))))) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) = meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))),
inference(resolve,[$cnf( $equal(complement(join(X_7,complement(join(complement(X_411),X_7)))),complement(join(X_7,meet(X_411,complement(X_7))))) )],[refute_0_2243,refute_0_2246]) ).
cnf(refute_0_2248,plain,
( meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != complement(top)
| meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != meet(X_411,complement(join(X_7,meet(X_411,complement(X_7)))))
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),complement(top)) ),[0],$fot(meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))))]]) ).
cnf(refute_0_2249,plain,
( meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != complement(top)
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),meet(X_411,complement(join(X_7,meet(X_411,complement(X_7)))))) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( complement(top) != zero
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) != complement(top)
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2251,plain,
( meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) != complement(top)
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2250]) ).
cnf(refute_0_2252,plain,
( meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))) != complement(top)
| meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))),complement(top)) )],[refute_0_2249,refute_0_2251]) ).
cnf(refute_0_2253,plain,
meet(X_411,complement(join(X_7,meet(X_411,complement(X_7))))) = zero,
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(X_7,complement(join(complement(X_411),X_7))))),complement(top)) )],[refute_0_2230,refute_0_2252]) ).
cnf(refute_0_2254,plain,
meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))) = zero,
inference(subst,[],[refute_0_2253:[bind(X_411,$fot(X_6)),bind(X_7,$fot(X_304))]]) ).
cnf(refute_0_2255,plain,
join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A),
introduced(tautology,[refl,[$fot(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))]]) ).
cnf(refute_0_2256,plain,
( join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) != join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)
| meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))) != zero
| join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A),join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2257,plain,
( meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))) != zero
| join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A),join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) )],[refute_0_2255,refute_0_2256]) ).
cnf(refute_0_2258,plain,
join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),zero) )],[refute_0_2254,refute_0_2257]) ).
cnf(refute_0_2259,plain,
( join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_2260,plain,
( join(zero,A) != A
| join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A),join(zero,A)) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1535,refute_0_2260]) ).
cnf(refute_0_2262,plain,
join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) = join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),
introduced(tautology,[refl,[$fot(join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)))]]) ).
cnf(refute_0_2263,plain,
( join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) != join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))
| join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) != A
| join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) = join(X_6,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_2264,plain,
( join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A) != A
| join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) = join(X_6,A) ),
inference(resolve,[$cnf( $equal(join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) = join(X_6,A),
inference(resolve,[$cnf( $equal(join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A),A) )],[refute_0_2261,refute_0_2264]) ).
cnf(refute_0_2266,plain,
( join(A,X_6) != join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))
| join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)) != join(X_6,A)
| join(A,X_6) = join(X_6,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,X_6),join(X_6,A)) ),[0],$fot(join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)))]]) ).
cnf(refute_0_2267,plain,
( join(A,X_6) != join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))
| join(A,X_6) = join(X_6,A) ),
inference(resolve,[$cnf( $equal(join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A)),join(X_6,A)) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
join(A,X_6) = join(X_6,A),
inference(resolve,[$cnf( $equal(join(A,X_6),join(X_6,join(meet(X_6,complement(join(X_304,meet(X_6,complement(X_304))))),A))) )],[refute_0_2223,refute_0_2267]) ).
cnf(refute_0_2269,plain,
( join(A,X_6) != join(X_6,A)
| join(X_6,A) = join(A,X_6) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,X_6))),bind(Y,$fot(join(X_6,A)))]]) ).
cnf(refute_0_2270,plain,
join(X_6,A) = join(A,X_6),
inference(resolve,[$cnf( $equal(join(A,X_6),join(X_6,A)) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
join(converse(meet(sk3,complement(sk1))),zero) = join(zero,converse(meet(sk3,complement(sk1)))),
inference(subst,[],[refute_0_2270:[bind(A,$fot(zero)),bind(X_6,$fot(converse(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_2272,plain,
( join(converse(meet(sk3,complement(sk1))),zero) != join(zero,converse(meet(sk3,complement(sk1))))
| join(zero,converse(meet(sk3,complement(sk1)))) != converse(meet(sk3,complement(sk1)))
| join(converse(meet(sk3,complement(sk1))),zero) = converse(meet(sk3,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(meet(sk3,complement(sk1))),zero))),bind(Y,$fot(join(zero,converse(meet(sk3,complement(sk1)))))),bind(Z,$fot(converse(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_2273,plain,
( join(zero,converse(meet(sk3,complement(sk1)))) != converse(meet(sk3,complement(sk1)))
| join(converse(meet(sk3,complement(sk1))),zero) = converse(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),zero),join(zero,converse(meet(sk3,complement(sk1))))) )],[refute_0_2271,refute_0_2272]) ).
cnf(refute_0_2274,plain,
join(converse(meet(sk3,complement(sk1))),zero) = converse(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(join(zero,converse(meet(sk3,complement(sk1)))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2175,refute_0_2273]) ).
cnf(refute_0_2275,plain,
meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = complement(join(complement(X_401),join(complement(X_494),meet(X_494,X_401)))),
inference(subst,[],[refute_0_489:[bind(X_403,$fot(join(complement(X_494),meet(X_494,X_401))))]]) ).
cnf(refute_0_2276,plain,
join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(complement(X_40),meet(X_39,X_40)))),bind(B,$fot(complement(X_39)))]]) ).
cnf(refute_0_2277,plain,
top = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))),
inference(subst,[],[refute_0_2186:[bind(X_34,$fot(X_39)),bind(X_35,$fot(X_40))]]) ).
cnf(refute_0_2278,plain,
( top != join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))
| join(complement(X_39),join(complement(X_40),meet(X_39,X_40))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))))]]) ).
cnf(refute_0_2279,plain,
join(complement(X_39),join(complement(X_40),meet(X_39,X_40))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
( join(complement(X_39),join(complement(X_40),meet(X_39,X_40))) != top
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))) ),[1],$fot(top)]]) ).
cnf(refute_0_2281,plain,
( join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(complement(X_40),meet(X_39,X_40))),top) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))) )],[refute_0_2276,refute_0_2281]) ).
cnf(refute_0_2283,plain,
join(complement(X_40),join(meet(X_39,X_40),complement(X_39))) = join(complement(X_40),join(complement(X_39),meet(X_39,X_40))),
inference(subst,[],[refute_0_278:[bind(X_6,$fot(complement(X_40))),bind(X_7,$fot(meet(X_39,X_40))),bind(X_8,$fot(complement(X_39)))]]) ).
cnf(refute_0_2284,plain,
join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = join(complement(X_40),join(meet(X_39,X_40),complement(X_39))),
inference(subst,[],[refute_0_272:[bind(A,$fot(complement(X_40))),bind(B,$fot(meet(X_39,X_40))),bind(C,$fot(complement(X_39)))]]) ).
cnf(refute_0_2285,plain,
( join(complement(X_40),join(meet(X_39,X_40),complement(X_39))) != join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != join(complement(X_40),join(meet(X_39,X_40),complement(X_39)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = join(complement(X_40),join(complement(X_39),meet(X_39,X_40))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)))),bind(Y,$fot(join(complement(X_40),join(meet(X_39,X_40),complement(X_39))))),bind(Z,$fot(join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))))]]) ).
cnf(refute_0_2286,plain,
( join(complement(X_40),join(meet(X_39,X_40),complement(X_39))) != join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = join(complement(X_40),join(complement(X_39),meet(X_39,X_40))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),join(complement(X_40),join(meet(X_39,X_40),complement(X_39)))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) = join(complement(X_40),join(complement(X_39),meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(join(complement(X_40),join(meet(X_39,X_40),complement(X_39))),join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))
| join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != top
| join(complement(X_40),join(complement(X_39),meet(X_39,X_40))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),top) ),[0],$fot(join(complement(X_40),join(complement(X_39),meet(X_39,X_40))))]]) ).
cnf(refute_0_2289,plain,
( join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)) != top
| join(complement(X_40),join(complement(X_39),meet(X_39,X_40))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),join(complement(X_40),join(complement(X_39),meet(X_39,X_40)))) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
join(complement(X_40),join(complement(X_39),meet(X_39,X_40))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_40),meet(X_39,X_40)),complement(X_39)),top) )],[refute_0_2282,refute_0_2289]) ).
cnf(refute_0_2291,plain,
join(complement(X_401),join(complement(X_494),meet(X_494,X_401))) = top,
inference(subst,[],[refute_0_2290:[bind(X_39,$fot(X_494)),bind(X_40,$fot(X_401))]]) ).
cnf(refute_0_2292,plain,
( join(complement(X_401),join(complement(X_494),meet(X_494,X_401))) != top
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != complement(join(complement(X_401),join(complement(X_494),meet(X_494,X_401))))
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),complement(join(complement(X_401),join(complement(X_494),meet(X_494,X_401))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2293,plain,
( meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != complement(join(complement(X_401),join(complement(X_494),meet(X_494,X_401))))
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_401),join(complement(X_494),meet(X_494,X_401))),top) )],[refute_0_2291,refute_0_2292]) ).
cnf(refute_0_2294,plain,
meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),complement(join(complement(X_401),join(complement(X_494),meet(X_494,X_401))))) )],[refute_0_2275,refute_0_2293]) ).
cnf(refute_0_2295,plain,
complement(join(complement(X_494),meet(X_494,X_401))) = meet(X_494,complement(meet(X_494,X_401))),
inference(subst,[],[refute_0_595:[bind(X_401,$fot(X_494)),bind(X_403,$fot(meet(X_494,X_401)))]]) ).
cnf(refute_0_2296,plain,
meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),
introduced(tautology,[refl,[$fot(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))))]]) ).
cnf(refute_0_2297,plain,
( complement(join(complement(X_494),meet(X_494,X_401))) != meet(X_494,complement(meet(X_494,X_401)))
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != meet(X_401,complement(join(complement(X_494),meet(X_494,X_401))))
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),meet(X_401,complement(join(complement(X_494),meet(X_494,X_401))))) ),[1,1],$fot(meet(X_494,complement(meet(X_494,X_401))))]]) ).
cnf(refute_0_2298,plain,
( complement(join(complement(X_494),meet(X_494,X_401))) != meet(X_494,complement(meet(X_494,X_401)))
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),meet(X_401,complement(join(complement(X_494),meet(X_494,X_401))))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) = meet(X_401,meet(X_494,complement(meet(X_494,X_401)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_494),meet(X_494,X_401))),meet(X_494,complement(meet(X_494,X_401)))) )],[refute_0_2295,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != complement(top)
| meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != meet(X_401,meet(X_494,complement(meet(X_494,X_401))))
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),complement(top)) ),[0],$fot(meet(X_401,meet(X_494,complement(meet(X_494,X_401)))))]]) ).
cnf(refute_0_2301,plain,
( meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != complement(top)
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),meet(X_401,meet(X_494,complement(meet(X_494,X_401))))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( complement(top) != zero
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) != complement(top)
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_401,meet(X_494,complement(meet(X_494,X_401)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2303,plain,
( meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) != complement(top)
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2302]) ).
cnf(refute_0_2304,plain,
( meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))) != complement(top)
| meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_401,meet(X_494,complement(meet(X_494,X_401)))),complement(top)) )],[refute_0_2301,refute_0_2303]) ).
cnf(refute_0_2305,plain,
meet(X_401,meet(X_494,complement(meet(X_494,X_401)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_401,complement(join(complement(X_494),meet(X_494,X_401)))),complement(top)) )],[refute_0_2294,refute_0_2304]) ).
cnf(refute_0_2306,plain,
meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(meet(converse(sk3),converse(join(sk1,complement(sk3))))))) = zero,
inference(subst,[],[refute_0_2305:[bind(X_401,$fot(converse(join(sk1,complement(sk3))))),bind(X_494,$fot(converse(sk3)))]]) ).
cnf(refute_0_2307,plain,
meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = complement(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))))]]) ).
cnf(refute_0_2308,plain,
complement(converse(sk1)) = join(complement(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(complement(join(converse(sk1),complement(converse(sk3)))))),bind(X_93,$fot(converse(sk1)))]]) ).
cnf(refute_0_2309,plain,
converse(sk3) = join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))),
inference(subst,[],[refute_0_1283:[bind(X_127,$fot(converse(sk3))),bind(X_128,$fot(converse(sk1)))]]) ).
cnf(refute_0_2310,plain,
( converse(sk3) != join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))
| meet(converse(sk1),converse(sk3)) != converse(sk1)
| converse(sk3) = join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk3),join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_2311,plain,
( converse(sk3) != join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))
| converse(sk3) = join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(sk3)),converse(sk1)) )],[refute_0_943,refute_0_2310]) ).
cnf(refute_0_2312,plain,
converse(sk3) = join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))),
inference(resolve,[$cnf( $equal(converse(sk3),join(meet(converse(sk1),converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2309,refute_0_2311]) ).
cnf(refute_0_2313,plain,
( converse(sk3) != join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))
| join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))) = converse(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk3))),bind(Y,$fot(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))))]]) ).
cnf(refute_0_2314,plain,
join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))) = converse(sk3),
inference(resolve,[$cnf( $equal(converse(sk3),join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2312,refute_0_2313]) ).
cnf(refute_0_2315,plain,
( complement(converse(sk1)) != join(complement(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))
| join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))) != converse(sk3)
| complement(converse(sk1)) = join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(complement(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))) ),[1,0,0],$fot(converse(sk3))]]) ).
cnf(refute_0_2316,plain,
( complement(converse(sk1)) != join(complement(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))
| complement(converse(sk1)) = join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3))))),converse(sk3)) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
complement(converse(sk1)) = join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(join(converse(sk1),complement(join(converse(sk1),complement(converse(sk3)))))),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))) )],[refute_0_2308,refute_0_2316]) ).
cnf(refute_0_2318,plain,
join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))),
inference(subst,[],[refute_0_454:[bind(A,$fot(converse(sk3))),bind(B,$fot(join(converse(sk1),complement(converse(sk3)))))]]) ).
cnf(refute_0_2319,plain,
meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))) = complement(join(converse(sk1),complement(converse(sk3)))),
inference(subst,[],[refute_0_1362:[bind(X_254,$fot(complement(converse(sk3)))),bind(X_255,$fot(converse(sk1)))]]) ).
cnf(refute_0_2320,plain,
meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) = meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(converse(sk1)))),bind(X_35,$fot(complement(join(converse(sk1),complement(converse(sk3))))))]]) ).
cnf(refute_0_2321,plain,
( meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))) != complement(join(converse(sk1),complement(converse(sk3))))
| meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) != meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3)))))
| meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) = complement(join(converse(sk1),complement(converse(sk3)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))),bind(Y,$fot(meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))))),bind(Z,$fot(complement(join(converse(sk1),complement(converse(sk3))))))]]) ).
cnf(refute_0_2322,plain,
( meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))) != complement(join(converse(sk1),complement(converse(sk3))))
| meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) = complement(join(converse(sk1),complement(converse(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))),meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) = complement(join(converse(sk1),complement(converse(sk3)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(join(converse(sk1),complement(converse(sk3))))),complement(join(converse(sk1),complement(converse(sk3))))) )],[refute_0_2319,refute_0_2322]) ).
cnf(refute_0_2324,plain,
join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_2325,plain,
( join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) != join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))
| meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) != complement(join(converse(sk1),complement(converse(sk3))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))) ),[1,1],$fot(complement(join(converse(sk1),complement(converse(sk3)))))]]) ).
cnf(refute_0_2326,plain,
( meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))) != complement(join(converse(sk1),complement(converse(sk3))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))) )],[refute_0_2324,refute_0_2325]) ).
cnf(refute_0_2327,plain,
join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))),complement(join(converse(sk1),complement(converse(sk3))))) )],[refute_0_2323,refute_0_2326]) ).
cnf(refute_0_2328,plain,
( join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))) != complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) != join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))))),bind(Y,$fot(join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))))),bind(Z,$fot(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))))]]) ).
cnf(refute_0_2329,plain,
( join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))) != complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2327,refute_0_2328]) ).
cnf(refute_0_2330,plain,
join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),complement(join(converse(sk1),complement(converse(sk3))))),complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2318,refute_0_2329]) ).
cnf(refute_0_2331,plain,
( complement(converse(sk1)) != join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))
| join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))) != complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))
| complement(converse(sk1)) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))) ),[0],$fot(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_2332,plain,
( complement(converse(sk1)) != join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))
| complement(converse(sk1)) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1)))),complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
complement(converse(sk1)) = complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(converse(sk3)),meet(complement(join(converse(sk1),complement(converse(sk3)))),complement(converse(sk1))))) )],[refute_0_2317,refute_0_2332]) ).
cnf(refute_0_2334,plain,
( complement(converse(sk1)) != complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))
| complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))))]]) ).
cnf(refute_0_2335,plain,
complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
( complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) != complement(converse(sk1))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != complement(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),complement(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_2337,plain,
( meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != complement(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))),complement(converse(sk1))) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = complement(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),complement(complement(meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))))) )],[refute_0_2307,refute_0_2337]) ).
cnf(refute_0_2339,plain,
complement(complement(converse(sk1))) = converse(sk1),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(converse(sk1)))]]) ).
cnf(refute_0_2340,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != complement(complement(converse(sk1)))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),complement(complement(converse(sk1)))) ),[1],$fot(converse(sk1))]]) ).
cnf(refute_0_2341,plain,
( meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != complement(complement(converse(sk1)))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),complement(complement(converse(sk1)))) )],[refute_0_2338,refute_0_2341]) ).
cnf(refute_0_2343,plain,
converse(join(A,complement(X_333))) = join(converse(A),converse(complement(X_333))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(complement(X_333)))]]) ).
cnf(refute_0_2344,plain,
converse(complement(X_333)) = complement(converse(X_333)),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(X_333))]]) ).
cnf(refute_0_2345,plain,
( converse(complement(X_333)) != complement(converse(X_333))
| converse(join(A,complement(X_333))) != join(converse(A),converse(complement(X_333)))
| converse(join(A,complement(X_333))) = join(converse(A),complement(converse(X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,complement(X_333))),join(converse(A),converse(complement(X_333)))) ),[1,1],$fot(complement(converse(X_333)))]]) ).
cnf(refute_0_2346,plain,
( converse(join(A,complement(X_333))) != join(converse(A),converse(complement(X_333)))
| converse(join(A,complement(X_333))) = join(converse(A),complement(converse(X_333))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_333)),complement(converse(X_333))) )],[refute_0_2344,refute_0_2345]) ).
cnf(refute_0_2347,plain,
converse(join(A,complement(X_333))) = join(converse(A),complement(converse(X_333))),
inference(resolve,[$cnf( $equal(converse(join(A,complement(X_333))),join(converse(A),converse(complement(X_333)))) )],[refute_0_2343,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( converse(join(A,complement(X_333))) != join(converse(A),complement(converse(X_333)))
| join(converse(A),complement(converse(X_333))) = converse(join(A,complement(X_333))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,complement(X_333))))),bind(Y,$fot(join(converse(A),complement(converse(X_333)))))]]) ).
cnf(refute_0_2349,plain,
join(converse(A),complement(converse(X_333))) = converse(join(A,complement(X_333))),
inference(resolve,[$cnf( $equal(converse(join(A,complement(X_333))),join(converse(A),complement(converse(X_333)))) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
join(converse(sk1),complement(converse(sk3))) = converse(join(sk1,complement(sk3))),
inference(subst,[],[refute_0_2349:[bind(A,$fot(sk1)),bind(X_333,$fot(sk3))]]) ).
cnf(refute_0_2351,plain,
meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),
introduced(tautology,[refl,[$fot(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))))]]) ).
cnf(refute_0_2352,plain,
( join(converse(sk1),complement(converse(sk3))) != converse(join(sk1,complement(sk3)))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = meet(converse(sk3),converse(join(sk1,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) ),[1,1],$fot(converse(join(sk1,complement(sk3))))]]) ).
cnf(refute_0_2353,plain,
( join(converse(sk1),complement(converse(sk3))) != converse(join(sk1,complement(sk3)))
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = meet(converse(sk3),converse(join(sk1,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),meet(converse(sk3),join(converse(sk1),complement(converse(sk3))))) )],[refute_0_2351,refute_0_2352]) ).
cnf(refute_0_2354,plain,
meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) = meet(converse(sk3),converse(join(sk1,complement(sk3)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(sk3))),converse(join(sk1,complement(sk3)))) )],[refute_0_2350,refute_0_2353]) ).
cnf(refute_0_2355,plain,
( meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != converse(sk1)
| meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != meet(converse(sk3),converse(join(sk1,complement(sk3))))
| meet(converse(sk3),converse(join(sk1,complement(sk3)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),converse(sk1)) ),[0],$fot(meet(converse(sk3),converse(join(sk1,complement(sk3)))))]]) ).
cnf(refute_0_2356,plain,
( meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))) != converse(sk1)
| meet(converse(sk3),converse(join(sk1,complement(sk3)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),meet(converse(sk3),converse(join(sk1,complement(sk3))))) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
meet(converse(sk3),converse(join(sk1,complement(sk3)))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk3),join(converse(sk1),complement(converse(sk3)))),converse(sk1)) )],[refute_0_2342,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(meet(converse(sk3),converse(join(sk1,complement(sk3))))))) != zero
| meet(converse(sk3),converse(join(sk1,complement(sk3)))) != converse(sk1)
| meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(meet(converse(sk3),converse(join(sk1,complement(sk3))))))),zero) ),[0,1,1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_2359,plain,
( meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(meet(converse(sk3),converse(join(sk1,complement(sk3))))))) != zero
| meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(sk3),converse(join(sk1,complement(sk3)))),converse(sk1)) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(meet(converse(sk3),converse(join(sk1,complement(sk3))))))),zero) )],[refute_0_2306,refute_0_2359]) ).
cnf(refute_0_2361,plain,
join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2362,plain,
( join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) != join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) != zero
| join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2363,plain,
( meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))) != zero
| join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),zero) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = join(converse(meet(sk3,complement(sk1))),zero),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))),zero) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) != join(converse(meet(sk3,complement(sk1))),zero)
| join(converse(meet(sk3,complement(sk1))),zero) != converse(meet(sk3,complement(sk1)))
| join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = converse(meet(sk3,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))))),bind(Y,$fot(join(converse(meet(sk3,complement(sk1))),zero))),bind(Z,$fot(converse(meet(sk3,complement(sk1)))))]]) ).
cnf(refute_0_2366,plain,
( join(converse(meet(sk3,complement(sk1))),zero) != converse(meet(sk3,complement(sk1)))
| join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = converse(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),join(converse(meet(sk3,complement(sk1))),zero)) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) = converse(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),zero),converse(meet(sk3,complement(sk1)))) )],[refute_0_2274,refute_0_2366]) ).
cnf(refute_0_2368,plain,
( join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))) != converse(meet(sk3,complement(sk1)))
| meet(converse(sk3),complement(converse(sk1))) != join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = converse(meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))) ),[1],$fot(converse(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2369,plain,
( meet(converse(sk3),complement(converse(sk1))) != join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))
| meet(converse(sk3),complement(converse(sk1))) = converse(meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1))))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
meet(converse(sk3),complement(converse(sk1))) = converse(meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),join(converse(meet(sk3,complement(sk1))),meet(converse(join(sk1,complement(sk3))),meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2174,refute_0_2369]) ).
cnf(refute_0_2371,plain,
converse(meet(converse(sk3),complement(converse(sk1)))) = converse(meet(converse(sk3),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(meet(converse(sk3),complement(converse(sk1)))))]]) ).
cnf(refute_0_2372,plain,
( converse(meet(converse(sk3),complement(converse(sk1)))) != converse(meet(converse(sk3),complement(converse(sk1))))
| meet(converse(sk3),complement(converse(sk1))) != converse(meet(sk3,complement(sk1)))
| converse(meet(converse(sk3),complement(converse(sk1)))) = converse(converse(meet(sk3,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(sk1)))),converse(meet(converse(sk3),complement(converse(sk1))))) ),[1,0],$fot(converse(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2373,plain,
( meet(converse(sk3),complement(converse(sk1))) != converse(meet(sk3,complement(sk1)))
| converse(meet(converse(sk3),complement(converse(sk1)))) = converse(converse(meet(sk3,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(sk1)))),converse(meet(converse(sk3),complement(converse(sk1))))) )],[refute_0_2371,refute_0_2372]) ).
cnf(refute_0_2374,plain,
converse(meet(converse(sk3),complement(converse(sk1)))) = converse(converse(meet(sk3,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(sk3),complement(converse(sk1))),converse(meet(sk3,complement(sk1)))) )],[refute_0_2370,refute_0_2373]) ).
cnf(refute_0_2375,plain,
( converse(converse(meet(sk3,complement(sk1)))) != meet(sk3,complement(sk1))
| converse(meet(converse(sk3),complement(converse(sk1)))) != converse(converse(meet(sk3,complement(sk1))))
| converse(meet(converse(sk3),complement(converse(sk1)))) = meet(sk3,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(meet(converse(sk3),complement(converse(sk1)))))),bind(Y,$fot(converse(converse(meet(sk3,complement(sk1)))))),bind(Z,$fot(meet(sk3,complement(sk1))))]]) ).
cnf(refute_0_2376,plain,
( converse(converse(meet(sk3,complement(sk1)))) != meet(sk3,complement(sk1))
| converse(meet(converse(sk3),complement(converse(sk1)))) = meet(sk3,complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(sk1)))),converse(converse(meet(sk3,complement(sk1))))) )],[refute_0_2374,refute_0_2375]) ).
cnf(refute_0_2377,plain,
converse(meet(converse(sk3),complement(converse(sk1)))) = meet(sk3,complement(sk1)),
inference(resolve,[$cnf( $equal(converse(converse(meet(sk3,complement(sk1)))),meet(sk3,complement(sk1))) )],[refute_0_1846,refute_0_2376]) ).
cnf(refute_0_2378,plain,
meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))]]) ).
cnf(refute_0_2379,plain,
( converse(meet(converse(sk3),complement(converse(sk1)))) != meet(sk3,complement(sk1))
| meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) != meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))
| meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(complement(sk2),meet(sk3,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) ),[1,1],$fot(meet(sk3,complement(sk1)))]]) ).
cnf(refute_0_2380,plain,
( converse(meet(converse(sk3),complement(converse(sk1)))) != meet(sk3,complement(sk1))
| meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(complement(sk2),meet(sk3,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) )],[refute_0_2378,refute_0_2379]) ).
cnf(refute_0_2381,plain,
meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(complement(sk2),meet(sk3,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk3),complement(converse(sk1)))),meet(sk3,complement(sk1))) )],[refute_0_2377,refute_0_2380]) ).
cnf(refute_0_2382,plain,
( meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) != meet(complement(sk2),meet(sk3,complement(sk1)))
| meet(complement(sk2),meet(sk3,complement(sk1))) != meet(sk3,complement(sk2))
| meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(sk3,complement(sk2)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),bind(Y,$fot(meet(complement(sk2),meet(sk3,complement(sk1))))),bind(Z,$fot(meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_2383,plain,
( meet(complement(sk2),meet(sk3,complement(sk1))) != meet(sk3,complement(sk2))
| meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(sk3,complement(sk2)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),meet(complement(sk2),meet(sk3,complement(sk1)))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) = meet(sk3,complement(sk2)),
inference(resolve,[$cnf( $equal(meet(complement(sk2),meet(sk3,complement(sk1))),meet(sk3,complement(sk2))) )],[refute_0_1845,refute_0_2383]) ).
cnf(refute_0_2385,plain,
meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_2386,plain,
( meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) != meet(sk3,complement(sk2))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = meet(sk1,meet(sk3,complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),[1,1],$fot(meet(sk3,complement(sk2)))]]) ).
cnf(refute_0_2387,plain,
( meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))) != meet(sk3,complement(sk2))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = meet(sk1,meet(sk3,complement(sk2))) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_2385,refute_0_2386]) ).
cnf(refute_0_2388,plain,
meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) = meet(sk1,meet(sk3,complement(sk2))),
inference(resolve,[$cnf( $equal(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))),meet(sk3,complement(sk2))) )],[refute_0_2384,refute_0_2387]) ).
cnf(refute_0_2389,plain,
( meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != meet(sk1,meet(sk3,complement(sk2)))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != zero
| meet(sk1,meet(sk3,complement(sk2))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),zero) ),[0],$fot(meet(sk1,meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_2390,plain,
( meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != zero
| meet(sk1,meet(sk3,complement(sk2))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),meet(sk1,meet(sk3,complement(sk2)))) )],[refute_0_2388,refute_0_2389]) ).
cnf(refute_0_2391,plain,
meet(sk1,meet(sk3,complement(sk2))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),zero) )],[refute_0_1254,refute_0_2390]) ).
cnf(refute_0_2392,plain,
( join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(meet(sk1,meet(sk3,complement(sk2))),join(meet(sk3,complement(sk2)),complement(sk1))))
| meet(sk1,meet(sk3,complement(sk2))) != zero
| join(meet(sk3,complement(sk2)),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,complement(sk2)),complement(sk1)),join(complement(sk1),meet(meet(sk1,meet(sk3,complement(sk2))),join(meet(sk3,complement(sk2)),complement(sk1))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_2393,plain,
( join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(meet(sk1,meet(sk3,complement(sk2))),join(meet(sk3,complement(sk2)),complement(sk1))))
| join(meet(sk3,complement(sk2)),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(sk3,complement(sk2))),zero) )],[refute_0_2391,refute_0_2392]) ).
cnf(refute_0_2394,plain,
join(meet(sk3,complement(sk2)),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),complement(sk1)),join(complement(sk1),meet(meet(sk1,meet(sk3,complement(sk2))),join(meet(sk3,complement(sk2)),complement(sk1))))) )],[refute_0_415,refute_0_2393]) ).
cnf(refute_0_2395,plain,
join(A,join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),
inference(subst,[],[refute_0_382:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_2396,plain,
complement(sk1) = join(complement(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_2397,plain,
sk1 = join(meet(sk1,join(sk2,X_121)),meet(sk1,complement(join(sk2,X_121)))),
inference(subst,[],[refute_0_427:[bind(B,$fot(join(sk2,X_121))),bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_2398,plain,
sk1 = meet(sk1,join(sk2,X_121)),
inference(subst,[],[refute_0_1662:[bind(X_8,$fot(X_121))]]) ).
cnf(refute_0_2399,plain,
( sk1 != meet(sk1,join(sk2,X_121))
| meet(sk1,join(sk2,X_121)) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,join(sk2,X_121))))]]) ).
cnf(refute_0_2400,plain,
meet(sk1,join(sk2,X_121)) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk2,X_121))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
( meet(sk1,join(sk2,X_121)) != sk1
| sk1 != join(meet(sk1,join(sk2,X_121)),meet(sk1,complement(join(sk2,X_121))))
| sk1 = join(sk1,meet(sk1,complement(join(sk2,X_121)))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk1,join(sk2,X_121)),meet(sk1,complement(join(sk2,X_121))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2402,plain,
( sk1 != join(meet(sk1,join(sk2,X_121)),meet(sk1,complement(join(sk2,X_121))))
| sk1 = join(sk1,meet(sk1,complement(join(sk2,X_121)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,join(sk2,X_121)),sk1) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
sk1 = join(sk1,meet(sk1,complement(join(sk2,X_121)))),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,join(sk2,X_121)),meet(sk1,complement(join(sk2,X_121))))) )],[refute_0_2397,refute_0_2402]) ).
cnf(refute_0_2404,plain,
sk1 = join(sk1,meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))),
inference(subst,[],[refute_0_2403:[bind(X_121,$fot(complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_2405,plain,
( join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| sk1 != join(sk1,meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))
| sk1 = join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))) ),[1,1,1,0],$fot(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_2406,plain,
( sk1 != join(sk1,meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))
| sk1 = join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1090,refute_0_2405]) ).
cnf(refute_0_2407,plain,
sk1 = join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
inference(resolve,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(join(sk2,complement(join(sk2,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))))) )],[refute_0_2404,refute_0_2406]) ).
cnf(refute_0_2408,plain,
join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),
introduced(tautology,[refl,[$fot(join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_2409,plain,
( join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) ),[1,1],$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))]]) ).
cnf(refute_0_2410,plain,
( meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))
| join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_2408,refute_0_2409]) ).
cnf(refute_0_2411,plain,
join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) )],[refute_0_1098,refute_0_2410]) ).
cnf(refute_0_2412,plain,
( join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| sk1 != join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| sk1 = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) ),[1],$fot(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_2413,plain,
( sk1 != join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))
| sk1 = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
sk1 = join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(complement(meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))) )],[refute_0_2407,refute_0_2413]) ).
cnf(refute_0_2415,plain,
( sk1 != join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_2416,plain,
join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = sk1,
inference(resolve,[$cnf( $equal(sk1,join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_2414,refute_0_2415]) ).
cnf(refute_0_2417,plain,
( complement(sk1) != join(complement(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))
| join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != sk1
| complement(sk1) = join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(complement(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))) ),[1,0,0],$fot(sk1)]]) ).
cnf(refute_0_2418,plain,
( complement(sk1) != join(complement(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))
| complement(sk1) = join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),sk1) )],[refute_0_2416,refute_0_2417]) ).
cnf(refute_0_2419,plain,
complement(sk1) = join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(join(sk1,meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))) )],[refute_0_2396,refute_0_2418]) ).
cnf(refute_0_2420,plain,
meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)) = meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_2421,plain,
join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) = join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))))]]) ).
cnf(refute_0_2422,plain,
( join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) != join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))
| meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)) != meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))) ),[1,1],$fot(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_2423,plain,
( meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)) != meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_2420,refute_0_2423]) ).
cnf(refute_0_2425,plain,
( complement(sk1) != join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))
| join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))) != join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| complement(sk1) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) ),[0],$fot(join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))))]]) ).
cnf(refute_0_2426,plain,
( complement(sk1) != join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))
| complement(sk1) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1))),join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
complement(sk1) = join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(sk1),meet(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),complement(sk1)))) )],[refute_0_2419,refute_0_2426]) ).
cnf(refute_0_2428,plain,
( complement(sk1) != join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))
| join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_2429,plain,
join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
( join(A,join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))
| join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) != complement(sk1)
| join(A,complement(sk1)) = join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))) ),[0,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2431,plain,
( join(A,join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))) != join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))
| join(A,complement(sk1)) = join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))),complement(sk1)) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
join(A,complement(sk1)) = join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(sk1),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))) )],[refute_0_2395,refute_0_2431]) ).
cnf(refute_0_2433,plain,
meet(A,converse(zero)) = complement(join(complement(A),complement(converse(zero)))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(converse(zero)))]]) ).
cnf(refute_0_2434,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2435,plain,
top = join(meet(top,X_94),complement(join(complement(top),X_94))),
inference(subst,[],[refute_0_23:[bind(A,$fot(top)),bind(B,$fot(X_94))]]) ).
cnf(refute_0_2436,plain,
( complement(top) != zero
| top != join(meet(top,X_94),complement(join(complement(top),X_94)))
| top = join(meet(top,X_94),complement(join(zero,X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_94),complement(join(complement(top),X_94)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2437,plain,
( top != join(meet(top,X_94),complement(join(complement(top),X_94)))
| top = join(meet(top,X_94),complement(join(zero,X_94))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2436]) ).
cnf(refute_0_2438,plain,
top = join(meet(top,X_94),complement(join(zero,X_94))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_94),complement(join(complement(top),X_94)))) )],[refute_0_2435,refute_0_2437]) ).
cnf(refute_0_2439,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_2438:[bind(X_94,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2440,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_841:[bind(X_53,$fot(zero))]]) ).
cnf(refute_0_2441,plain,
( top != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2442,plain,
join(zero,converse(complement(converse(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
( join(zero,converse(complement(converse(zero)))) != top
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2444,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(top)) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),top) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_2439,refute_0_2444]) ).
cnf(refute_0_2446,plain,
( X_95 != join(zero,meet(top,X_95))
| join(zero,meet(top,X_95)) = X_95 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_95)),bind(Y,$fot(join(zero,meet(top,X_95))))]]) ).
cnf(refute_0_2447,plain,
join(zero,meet(top,X_95)) = X_95,
inference(resolve,[$cnf( $equal(X_95,join(zero,meet(top,X_95))) )],[refute_0_226,refute_0_2446]) ).
cnf(refute_0_2448,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_2447:[bind(X_95,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2449,plain,
join(complement(top),meet(top,converse(complement(converse(zero))))) = join(complement(top),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2450,plain,
( complement(top) != zero
| join(complement(top),meet(top,converse(complement(converse(zero))))) != join(complement(top),meet(top,converse(complement(converse(zero)))))
| join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(complement(top),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2451,plain,
( complement(top) != zero
| join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(complement(top),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2451]) ).
cnf(refute_0_2453,plain,
( join(complement(top),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(complement(top),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(top,converse(complement(converse(zero))))))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2454,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(complement(top),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2452,refute_0_2453]) ).
cnf(refute_0_2455,plain,
join(complement(top),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_2448,refute_0_2454]) ).
cnf(refute_0_2456,plain,
join(meet(top,converse(complement(converse(zero)))),complement(top)) = join(complement(top),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2457,plain,
( join(complement(top),meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(meet(top,converse(complement(converse(zero)))),complement(top)) != join(complement(top),meet(top,converse(complement(converse(zero)))))
| join(meet(top,converse(complement(converse(zero)))),complement(top)) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(top,converse(complement(converse(zero)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2458,plain,
( join(complement(top),meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(meet(top,converse(complement(converse(zero)))),complement(top)) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(top)),join(complement(top),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2456,refute_0_2457]) ).
cnf(refute_0_2459,plain,
join(meet(top,converse(complement(converse(zero)))),complement(top)) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_2455,refute_0_2458]) ).
cnf(refute_0_2460,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(top)) != converse(complement(converse(zero)))
| top != join(meet(top,converse(complement(converse(zero)))),complement(top))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(top))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_2461,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(top))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(top)),converse(complement(converse(zero)))) )],[refute_0_2459,refute_0_2460]) ).
cnf(refute_0_2462,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(top))) )],[refute_0_2445,refute_0_2461]) ).
cnf(refute_0_2463,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2464,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_2462,refute_0_2463]) ).
cnf(refute_0_2465,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2466,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2434,refute_0_2466]) ).
cnf(refute_0_2468,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_2469,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_838,refute_0_2468]) ).
cnf(refute_0_2470,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_2467,refute_0_2469]) ).
cnf(refute_0_2471,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2472,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2470,refute_0_2471]) ).
cnf(refute_0_2473,plain,
( complement(converse(zero)) != top
| meet(A,converse(zero)) != complement(join(complement(A),complement(converse(zero))))
| meet(A,converse(zero)) = complement(join(complement(A),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,converse(zero)),complement(join(complement(A),complement(converse(zero))))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_2474,plain,
( meet(A,converse(zero)) != complement(join(complement(A),complement(converse(zero))))
| meet(A,converse(zero)) = complement(join(complement(A),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
meet(A,converse(zero)) = complement(join(complement(A),top)),
inference(resolve,[$cnf( $equal(meet(A,converse(zero)),complement(join(complement(A),complement(converse(zero))))) )],[refute_0_2433,refute_0_2474]) ).
cnf(refute_0_2476,plain,
converse(zero) = join(zero,complement(complement(converse(zero)))),
inference(subst,[],[refute_0_100:[bind(X_93,$fot(converse(zero)))]]) ).
cnf(refute_0_2477,plain,
( complement(converse(zero)) != top
| converse(zero) != join(zero,complement(complement(converse(zero))))
| converse(zero) = join(zero,complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,complement(complement(converse(zero))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2478,plain,
( converse(zero) != join(zero,complement(complement(converse(zero))))
| converse(zero) = join(zero,complement(top)) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2472,refute_0_2477]) ).
cnf(refute_0_2479,plain,
converse(zero) = join(zero,complement(top)),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,complement(complement(converse(zero))))) )],[refute_0_2476,refute_0_2478]) ).
cnf(refute_0_2480,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_78:[bind(B,$fot(top))]]) ).
cnf(refute_0_2481,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_2482,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2481]) ).
cnf(refute_0_2483,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_2480,refute_0_2482]) ).
cnf(refute_0_2484,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_2485,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2486,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2486]) ).
cnf(refute_0_2488,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_2489,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_2490,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_2488,refute_0_2489]) ).
cnf(refute_0_2491,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_2487,refute_0_2490]) ).
cnf(refute_0_2492,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_2493,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_2491,refute_0_2492]) ).
cnf(refute_0_2494,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2495,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2494]) ).
cnf(refute_0_2496,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_2493,refute_0_2495]) ).
cnf(refute_0_2497,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_2483,refute_0_2496]) ).
cnf(refute_0_2498,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(zero,zero) != zero
| join(zero,complement(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(top)))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2499,plain,
( join(zero,zero) != zero
| join(zero,complement(top)) = zero ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_2487,refute_0_2498]) ).
cnf(refute_0_2500,plain,
join(zero,complement(top)) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_2497,refute_0_2499]) ).
cnf(refute_0_2501,plain,
( converse(zero) != join(zero,complement(top))
| join(zero,complement(top)) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_2502,plain,
( converse(zero) != join(zero,complement(top))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),zero) )],[refute_0_2500,refute_0_2501]) ).
cnf(refute_0_2503,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(zero,complement(top))) )],[refute_0_2479,refute_0_2502]) ).
cnf(refute_0_2504,plain,
meet(A,converse(zero)) = meet(A,converse(zero)),
introduced(tautology,[refl,[$fot(meet(A,converse(zero)))]]) ).
cnf(refute_0_2505,plain,
( converse(zero) != zero
| meet(A,converse(zero)) != meet(A,converse(zero))
| meet(A,converse(zero)) = meet(A,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,converse(zero)),meet(A,converse(zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2506,plain,
( converse(zero) != zero
| meet(A,converse(zero)) = meet(A,zero) ),
inference(resolve,[$cnf( $equal(meet(A,converse(zero)),meet(A,converse(zero))) )],[refute_0_2504,refute_0_2505]) ).
cnf(refute_0_2507,plain,
meet(A,converse(zero)) = meet(A,zero),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2503,refute_0_2506]) ).
cnf(refute_0_2508,plain,
( meet(A,converse(zero)) != complement(join(complement(A),top))
| meet(A,converse(zero)) != meet(A,zero)
| meet(A,zero) = complement(join(complement(A),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,converse(zero)),complement(join(complement(A),top))) ),[0],$fot(meet(A,zero))]]) ).
cnf(refute_0_2509,plain,
( meet(A,converse(zero)) != complement(join(complement(A),top))
| meet(A,zero) = complement(join(complement(A),top)) ),
inference(resolve,[$cnf( $equal(meet(A,converse(zero)),meet(A,zero)) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
join(complement(A),top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(complement(A)))]]) ).
cnf(refute_0_2511,plain,
complement(join(complement(A),top)) = complement(join(complement(A),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(A),top)))]]) ).
cnf(refute_0_2512,plain,
( complement(join(complement(A),top)) != complement(join(complement(A),top))
| join(complement(A),top) != top
| complement(join(complement(A),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),top)),complement(join(complement(A),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2513,plain,
( join(complement(A),top) != top
| complement(join(complement(A),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),complement(join(complement(A),top))) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
complement(join(complement(A),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(A),top),top) )],[refute_0_2510,refute_0_2513]) ).
cnf(refute_0_2515,plain,
( complement(join(complement(A),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(A),top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(A),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2516,plain,
( complement(top) != zero
| complement(join(complement(A),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),complement(top)) )],[refute_0_2514,refute_0_2515]) ).
cnf(refute_0_2517,plain,
complement(join(complement(A),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2516]) ).
cnf(refute_0_2518,plain,
( complement(join(complement(A),top)) != zero
| meet(A,zero) != complement(join(complement(A),top))
| meet(A,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,zero),complement(join(complement(A),top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2519,plain,
( meet(A,zero) != complement(join(complement(A),top))
| meet(A,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),zero) )],[refute_0_2517,refute_0_2518]) ).
cnf(refute_0_2520,plain,
( meet(A,converse(zero)) != complement(join(complement(A),top))
| meet(A,zero) = zero ),
inference(resolve,[$cnf( $equal(meet(A,zero),complement(join(complement(A),top))) )],[refute_0_2509,refute_0_2519]) ).
cnf(refute_0_2521,plain,
meet(A,zero) = zero,
inference(resolve,[$cnf( $equal(meet(A,converse(zero)),complement(join(complement(A),top))) )],[refute_0_2475,refute_0_2520]) ).
cnf(refute_0_2522,plain,
meet(complement(sk1),zero) = zero,
inference(subst,[],[refute_0_2521:[bind(A,$fot(complement(sk1)))]]) ).
cnf(refute_0_2523,plain,
meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))]]) ).
cnf(refute_0_2524,plain,
( meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))
| meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != zero
| meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(sk1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2525,plain,
( meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))) != zero
| meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(sk1),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))))) )],[refute_0_2523,refute_0_2524]) ).
cnf(refute_0_2526,plain,
meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = meet(complement(sk1),zero),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1)))))),zero) )],[refute_0_1254,refute_0_2525]) ).
cnf(refute_0_2527,plain,
( meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != meet(complement(sk1),zero)
| meet(complement(sk1),zero) != zero
| meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))))),bind(Y,$fot(meet(complement(sk1),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2528,plain,
( meet(complement(sk1),zero) != zero
| meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),meet(complement(sk1),zero)) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(sk1),zero),zero) )],[refute_0_2522,refute_0_2528]) ).
cnf(refute_0_2530,plain,
join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A),
introduced(tautology,[refl,[$fot(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))]]) ).
cnf(refute_0_2531,plain,
( join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) != join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)
| meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != zero
| join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2532,plain,
( meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))) != zero
| join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) )],[refute_0_2530,refute_0_2531]) ).
cnf(refute_0_2533,plain,
join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),zero) )],[refute_0_2529,refute_0_2532]) ).
cnf(refute_0_2534,plain,
( join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_2535,plain,
( join(zero,A) != A
| join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A),join(zero,A)) )],[refute_0_2533,refute_0_2534]) ).
cnf(refute_0_2536,plain,
join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1535,refute_0_2535]) ).
cnf(refute_0_2537,plain,
join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) = join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),
introduced(tautology,[refl,[$fot(join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)))]]) ).
cnf(refute_0_2538,plain,
( join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) != join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))
| join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) != A
| join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) = join(complement(sk1),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_2539,plain,
( join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A) != A
| join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) = join(complement(sk1),A) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))) )],[refute_0_2537,refute_0_2538]) ).
cnf(refute_0_2540,plain,
join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) = join(complement(sk1),A),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A),A) )],[refute_0_2536,refute_0_2539]) ).
cnf(refute_0_2541,plain,
( join(A,complement(sk1)) != join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))
| join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)) != join(complement(sk1),A)
| join(A,complement(sk1)) = join(complement(sk1),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(sk1)),join(complement(sk1),A)) ),[0],$fot(join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)))]]) ).
cnf(refute_0_2542,plain,
( join(A,complement(sk1)) != join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))
| join(A,complement(sk1)) = join(complement(sk1),A) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A)),join(complement(sk1),A)) )],[refute_0_2540,refute_0_2541]) ).
cnf(refute_0_2543,plain,
join(A,complement(sk1)) = join(complement(sk1),A),
inference(resolve,[$cnf( $equal(join(A,complement(sk1)),join(complement(sk1),join(meet(complement(sk1),meet(sk1,meet(complement(sk2),converse(meet(converse(sk3),complement(converse(sk1))))))),A))) )],[refute_0_2432,refute_0_2542]) ).
cnf(refute_0_2544,plain,
join(meet(sk3,complement(sk2)),complement(sk1)) = join(complement(sk1),meet(sk3,complement(sk2))),
inference(subst,[],[refute_0_2543:[bind(A,$fot(meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_2545,plain,
( join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(sk3,complement(sk2)))
| join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| join(complement(sk1),meet(sk3,complement(sk2))) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,complement(sk2)),complement(sk1)),join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))) ),[0],$fot(join(complement(sk1),meet(sk3,complement(sk2))))]]) ).
cnf(refute_0_2546,plain,
( join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| join(complement(sk1),meet(sk3,complement(sk2))) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),complement(sk1)),join(complement(sk1),meet(sk3,complement(sk2)))) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
join(zero,complement(sk1)) = complement(sk1),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(complement(sk1)))]]) ).
cnf(refute_0_2548,plain,
( join(A,complement(sk1)) != join(complement(sk1),A)
| join(complement(sk1),A) = join(A,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,complement(sk1)))),bind(Y,$fot(join(complement(sk1),A)))]]) ).
cnf(refute_0_2549,plain,
join(complement(sk1),A) = join(A,complement(sk1)),
inference(resolve,[$cnf( $equal(join(A,complement(sk1)),join(complement(sk1),A)) )],[refute_0_2543,refute_0_2548]) ).
cnf(refute_0_2550,plain,
join(complement(sk1),zero) = join(zero,complement(sk1)),
inference(subst,[],[refute_0_2549:[bind(A,$fot(zero))]]) ).
cnf(refute_0_2551,plain,
( join(complement(sk1),zero) != join(zero,complement(sk1))
| join(zero,complement(sk1)) != complement(sk1)
| join(complement(sk1),zero) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),zero))),bind(Y,$fot(join(zero,complement(sk1)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_2552,plain,
( join(zero,complement(sk1)) != complement(sk1)
| join(complement(sk1),zero) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),join(zero,complement(sk1))) )],[refute_0_2550,refute_0_2551]) ).
cnf(refute_0_2553,plain,
join(complement(sk1),zero) = complement(sk1),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_2547,refute_0_2552]) ).
cnf(refute_0_2554,plain,
meet(converse(zero),B) = complement(join(complement(converse(zero)),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(converse(zero)))]]) ).
cnf(refute_0_2555,plain,
( complement(converse(zero)) != top
| meet(converse(zero),B) != complement(join(complement(converse(zero)),complement(B)))
| meet(converse(zero),B) = complement(join(top,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),B),complement(join(complement(converse(zero)),complement(B)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2556,plain,
( meet(converse(zero),B) != complement(join(complement(converse(zero)),complement(B)))
| meet(converse(zero),B) = complement(join(top,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2472,refute_0_2555]) ).
cnf(refute_0_2557,plain,
meet(converse(zero),B) = complement(join(top,complement(B))),
inference(resolve,[$cnf( $equal(meet(converse(zero),B),complement(join(complement(converse(zero)),complement(B)))) )],[refute_0_2554,refute_0_2556]) ).
cnf(refute_0_2558,plain,
meet(converse(zero),B) = meet(converse(zero),B),
introduced(tautology,[refl,[$fot(meet(converse(zero),B))]]) ).
cnf(refute_0_2559,plain,
( converse(zero) != zero
| meet(converse(zero),B) != meet(converse(zero),B)
| meet(converse(zero),B) = meet(zero,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),B),meet(converse(zero),B)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2560,plain,
( converse(zero) != zero
| meet(converse(zero),B) = meet(zero,B) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),B),meet(converse(zero),B)) )],[refute_0_2558,refute_0_2559]) ).
cnf(refute_0_2561,plain,
meet(converse(zero),B) = meet(zero,B),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2503,refute_0_2560]) ).
cnf(refute_0_2562,plain,
( meet(converse(zero),B) != complement(join(top,complement(B)))
| meet(converse(zero),B) != meet(zero,B)
| meet(zero,B) = complement(join(top,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),B),complement(join(top,complement(B)))) ),[0],$fot(meet(zero,B))]]) ).
cnf(refute_0_2563,plain,
( meet(converse(zero),B) != complement(join(top,complement(B)))
| meet(zero,B) = complement(join(top,complement(B))) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),B),meet(zero,B)) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
join(top,complement(B)) = top,
inference(subst,[],[refute_0_536:[bind(X_44,$fot(complement(B)))]]) ).
cnf(refute_0_2565,plain,
complement(join(top,complement(B))) = complement(join(top,complement(B))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(B))))]]) ).
cnf(refute_0_2566,plain,
( complement(join(top,complement(B))) != complement(join(top,complement(B)))
| join(top,complement(B)) != top
| complement(join(top,complement(B))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2567,plain,
( join(top,complement(B)) != top
| complement(join(top,complement(B))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
complement(join(top,complement(B))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(B)),top) )],[refute_0_2564,refute_0_2567]) ).
cnf(refute_0_2569,plain,
( complement(join(top,complement(B))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(B))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(top,complement(B))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2570,plain,
( complement(top) != zero
| complement(join(top,complement(B))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(top)) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
complement(join(top,complement(B))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2570]) ).
cnf(refute_0_2572,plain,
( complement(join(top,complement(B))) != zero
| meet(zero,B) != complement(join(top,complement(B)))
| meet(zero,B) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2573,plain,
( meet(zero,B) != complement(join(top,complement(B)))
| meet(zero,B) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),zero) )],[refute_0_2571,refute_0_2572]) ).
cnf(refute_0_2574,plain,
( meet(converse(zero),B) != complement(join(top,complement(B)))
| meet(zero,B) = zero ),
inference(resolve,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) )],[refute_0_2563,refute_0_2573]) ).
cnf(refute_0_2575,plain,
meet(zero,B) = zero,
inference(resolve,[$cnf( $equal(meet(converse(zero),B),complement(join(top,complement(B)))) )],[refute_0_2557,refute_0_2574]) ).
cnf(refute_0_2576,plain,
meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))) = zero,
inference(subst,[],[refute_0_2575:[bind(B,$fot(join(meet(sk3,complement(sk2)),complement(sk1))))]]) ).
cnf(refute_0_2577,plain,
join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),
introduced(tautology,[refl,[$fot(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))))]]) ).
cnf(refute_0_2578,plain,
( join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))) != zero
| join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = join(complement(sk1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2579,plain,
( meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))) != zero
| join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = join(complement(sk1),zero) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))) )],[refute_0_2577,refute_0_2578]) ).
cnf(refute_0_2580,plain,
join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = join(complement(sk1),zero),
inference(resolve,[$cnf( $equal(meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))),zero) )],[refute_0_2576,refute_0_2579]) ).
cnf(refute_0_2581,plain,
( join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) != join(complement(sk1),zero)
| join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))))),bind(Y,$fot(join(complement(sk1),zero))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_2582,plain,
( join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),join(complement(sk1),zero)) )],[refute_0_2580,refute_0_2581]) ).
cnf(refute_0_2583,plain,
join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),complement(sk1)) )],[refute_0_2553,refute_0_2582]) ).
cnf(refute_0_2584,plain,
( join(complement(sk1),meet(sk3,complement(sk2))) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))) != complement(sk1)
| join(complement(sk1),meet(sk3,complement(sk2))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(sk1),meet(sk3,complement(sk2))),complement(sk1)) ),[0],$fot(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))))]]) ).
cnf(refute_0_2585,plain,
( join(complement(sk1),meet(sk3,complement(sk2))) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| join(complement(sk1),meet(sk3,complement(sk2))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1)))),complement(sk1)) )],[refute_0_2583,refute_0_2584]) ).
cnf(refute_0_2586,plain,
( join(meet(sk3,complement(sk2)),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))
| join(complement(sk1),meet(sk3,complement(sk2))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(sk3,complement(sk2))),join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))) )],[refute_0_2546,refute_0_2585]) ).
cnf(refute_0_2587,plain,
join(complement(sk1),meet(sk3,complement(sk2))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),complement(sk1)),join(complement(sk1),meet(zero,join(meet(sk3,complement(sk2)),complement(sk1))))) )],[refute_0_2394,refute_0_2586]) ).
cnf(refute_0_2588,plain,
( join(complement(sk1),meet(sk3,complement(sk2))) != complement(sk1)
| join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) != join(X_8,join(complement(sk1),meet(sk3,complement(sk2))))
| join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) = join(X_8,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)),join(X_8,join(complement(sk1),meet(sk3,complement(sk2))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2589,plain,
( join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) != join(X_8,join(complement(sk1),meet(sk3,complement(sk2))))
| join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) = join(X_8,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(sk3,complement(sk2))),complement(sk1)) )],[refute_0_2587,refute_0_2588]) ).
cnf(refute_0_2590,plain,
join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) = join(X_8,complement(sk1)),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)),join(X_8,join(complement(sk1),meet(sk3,complement(sk2))))) )],[refute_0_389,refute_0_2589]) ).
cnf(refute_0_2591,plain,
join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) = join(complement(sk1),join(X_8,meet(sk3,complement(sk2)))),
inference(subst,[],[refute_0_2005:[bind(X_71,$fot(complement(sk1))),bind(X_72,$fot(meet(sk3,complement(sk2)))),bind(X_73,$fot(X_8))]]) ).
cnf(refute_0_2592,plain,
( join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) != join(X_8,complement(sk1))
| join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) != join(complement(sk1),join(X_8,meet(sk3,complement(sk2))))
| join(complement(sk1),join(X_8,meet(sk3,complement(sk2)))) = join(X_8,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)),join(X_8,complement(sk1))) ),[0],$fot(join(complement(sk1),join(X_8,meet(sk3,complement(sk2)))))]]) ).
cnf(refute_0_2593,plain,
( join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)) != join(X_8,complement(sk1))
| join(complement(sk1),join(X_8,meet(sk3,complement(sk2)))) = join(X_8,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)),join(complement(sk1),join(X_8,meet(sk3,complement(sk2))))) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
join(complement(sk1),join(X_8,meet(sk3,complement(sk2)))) = join(X_8,complement(sk1)),
inference(resolve,[$cnf( $equal(join(meet(sk3,complement(sk2)),join(complement(sk1),X_8)),join(X_8,complement(sk1))) )],[refute_0_2590,refute_0_2593]) ).
cnf(refute_0_2595,plain,
join(complement(sk1),join(meet(sk2,sk3),meet(sk3,complement(sk2)))) = join(meet(sk2,sk3),complement(sk1)),
inference(subst,[],[refute_0_2594:[bind(X_8,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_2596,plain,
sk3 = join(meet(sk2,sk3),meet(sk3,complement(sk2))),
inference(subst,[],[refute_0_1457:[bind(X_114,$fot(sk2)),bind(X_115,$fot(sk3))]]) ).
cnf(refute_0_2597,plain,
( sk3 != join(meet(sk2,sk3),meet(sk3,complement(sk2)))
| join(meet(sk2,sk3),meet(sk3,complement(sk2))) = sk3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk3)),bind(Y,$fot(join(meet(sk2,sk3),meet(sk3,complement(sk2)))))]]) ).
cnf(refute_0_2598,plain,
join(meet(sk2,sk3),meet(sk3,complement(sk2))) = sk3,
inference(resolve,[$cnf( $equal(sk3,join(meet(sk2,sk3),meet(sk3,complement(sk2)))) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
( join(complement(sk1),join(meet(sk2,sk3),meet(sk3,complement(sk2)))) != join(meet(sk2,sk3),complement(sk1))
| join(meet(sk2,sk3),meet(sk3,complement(sk2))) != sk3
| join(complement(sk1),sk3) = join(meet(sk2,sk3),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),join(meet(sk2,sk3),meet(sk3,complement(sk2)))),join(meet(sk2,sk3),complement(sk1))) ),[0,1],$fot(sk3)]]) ).
cnf(refute_0_2600,plain,
( join(complement(sk1),join(meet(sk2,sk3),meet(sk3,complement(sk2)))) != join(meet(sk2,sk3),complement(sk1))
| join(complement(sk1),sk3) = join(meet(sk2,sk3),complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(sk2,sk3),meet(sk3,complement(sk2))),sk3) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
join(complement(sk1),sk3) = join(meet(sk2,sk3),complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(meet(sk2,sk3),meet(sk3,complement(sk2)))),join(meet(sk2,sk3),complement(sk1))) )],[refute_0_2595,refute_0_2600]) ).
cnf(refute_0_2602,plain,
( join(sk3,complement(sk1)) != join(sk3,top)
| join(sk3,top) != top
| join(sk3,complement(sk1)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk3,complement(sk1)),top) ),[0],$fot(join(sk3,top))]]) ).
cnf(refute_0_2603,plain,
( join(sk3,complement(sk1)) != join(sk3,top)
| join(sk3,complement(sk1)) = top ),
inference(resolve,[$cnf( $equal(join(sk3,top),top) )],[refute_0_787,refute_0_2602]) ).
cnf(refute_0_2604,plain,
join(sk3,complement(sk1)) = top,
inference(resolve,[$cnf( $equal(join(sk3,complement(sk1)),join(sk3,top)) )],[refute_0_779,refute_0_2603]) ).
cnf(refute_0_2605,plain,
join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6)),
inference(subst,[],[refute_0_388:[bind(X_7,$fot(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),bind(X_8,$fot(complement(composition(top,sk2))))]]) ).
cnf(refute_0_2606,plain,
join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),
inference(subst,[],[refute_0_1965:[bind(C,$fot(X_435)),bind(X_10,$fot(meet(complement(converse(sk1)),converse(composition(top,sk2))))),bind(X_9,$fot(complement(converse(composition(top,sk2)))))]]) ).
cnf(refute_0_2607,plain,
complement(converse(sk1)) = join(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),
inference(subst,[],[refute_0_434:[bind(X_114,$fot(complement(converse(composition(top,sk2))))),bind(X_115,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_2608,plain,
converse(complement(composition(top,sk2))) = meet(converse(complement(composition(top,sk2))),converse(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))))),
inference(subst,[],[refute_0_1146:[bind(A,$fot(complement(composition(top,sk2)))),bind(B,$fot(meet(complement(sk1),composition(top,sk2))))]]) ).
cnf(refute_0_2609,plain,
complement(sk1) = join(complement(join(sk1,composition(top,sk2))),meet(composition(top,sk2),complement(sk1))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(composition(top,sk2))),bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_2610,plain,
join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))),
inference(subst,[],[refute_0_503:[bind(X_8,$fot(complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_2611,plain,
join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,join(sk1,complement(join(sk1,complement(composition(top,sk2)))))),
inference(subst,[],[refute_0_740:[bind(A,$fot(sk1)),bind(B,$fot(complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_2612,plain,
( join(sk1,complement(join(sk1,complement(composition(top,sk2))))) != composition(top,sk2)
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,join(sk1,complement(join(sk1,complement(composition(top,sk2))))))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,composition(top,sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk2,join(sk1,complement(join(sk1,complement(composition(top,sk2))))))) ),[1,1],$fot(composition(top,sk2))]]) ).
cnf(refute_0_2613,plain,
( join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,join(sk1,complement(join(sk1,complement(composition(top,sk2))))))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,composition(top,sk2)) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(composition(top,sk2))))),composition(top,sk2)) )],[refute_0_1710,refute_0_2612]) ).
cnf(refute_0_2614,plain,
join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,composition(top,sk2)),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk2,join(sk1,complement(join(sk1,complement(composition(top,sk2))))))) )],[refute_0_2611,refute_0_2613]) ).
cnf(refute_0_2615,plain,
join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) = join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))),
inference(subst,[],[refute_0_276:[bind(X_6,$fot(sk1)),bind(X_7,$fot(sk2)),bind(X_8,$fot(complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_2616,plain,
( join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) != join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2))))))
| join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)))),bind(Y,$fot(join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))))),bind(Z,$fot(join(sk2,complement(join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_2617,plain,
( join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)),join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2))))))) )],[refute_0_2615,refute_0_2616]) ).
cnf(refute_0_2618,plain,
join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_2610,refute_0_2617]) ).
cnf(refute_0_2619,plain,
join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)),
inference(subst,[],[refute_0_1026:[bind(B,$fot(sk1)),bind(C,$fot(join(complement(join(sk1,complement(composition(top,sk2)))),sk2)))]]) ).
cnf(refute_0_2620,plain,
( join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))))),bind(Y,$fot(join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)))),bind(Z,$fot(join(sk2,complement(join(sk1,complement(composition(top,sk2)))))))]]) ).
cnf(refute_0_2621,plain,
( join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) )],[refute_0_2619,refute_0_2620]) ).
cnf(refute_0_2622,plain,
join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2)),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_2618,refute_0_2621]) ).
cnf(refute_0_2623,plain,
( join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,composition(top,sk2))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = join(sk2,composition(top,sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk2,composition(top,sk2))) ),[0],$fot(join(sk2,complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_2624,plain,
( join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,composition(top,sk2))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = join(sk2,composition(top,sk2)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
join(one,top) = top,
inference(subst,[],[refute_0_167:[bind(X_16,$fot(one))]]) ).
cnf(refute_0_2626,plain,
composition(join(one,top),sk2) = composition(join(one,top),sk2),
introduced(tautology,[refl,[$fot(composition(join(one,top),sk2))]]) ).
cnf(refute_0_2627,plain,
( composition(join(one,top),sk2) != composition(join(one,top),sk2)
| join(one,top) != top
| composition(join(one,top),sk2) = composition(top,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),sk2),composition(join(one,top),sk2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2628,plain,
( join(one,top) != top
| composition(join(one,top),sk2) = composition(top,sk2) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),sk2),composition(join(one,top),sk2)) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
composition(join(one,top),sk2) = composition(top,sk2),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( composition(join(one,B),C) != join(C,composition(B,C))
| join(C,composition(B,C)) = composition(join(one,B),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,B),C))),bind(Y,$fot(join(C,composition(B,C))))]]) ).
cnf(refute_0_2631,plain,
join(C,composition(B,C)) = composition(join(one,B),C),
inference(resolve,[$cnf( $equal(composition(join(one,B),C),join(C,composition(B,C))) )],[refute_0_1690,refute_0_2630]) ).
cnf(refute_0_2632,plain,
join(sk2,composition(top,sk2)) = composition(join(one,top),sk2),
inference(subst,[],[refute_0_2631:[bind(B,$fot(top)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_2633,plain,
( composition(join(one,top),sk2) != composition(top,sk2)
| join(sk2,composition(top,sk2)) != composition(join(one,top),sk2)
| join(sk2,composition(top,sk2)) = composition(top,sk2) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk2,composition(top,sk2)))),bind(Y,$fot(composition(join(one,top),sk2))),bind(Z,$fot(composition(top,sk2)))]]) ).
cnf(refute_0_2634,plain,
( composition(join(one,top),sk2) != composition(top,sk2)
| join(sk2,composition(top,sk2)) = composition(top,sk2) ),
inference(resolve,[$cnf( $equal(join(sk2,composition(top,sk2)),composition(join(one,top),sk2)) )],[refute_0_2632,refute_0_2633]) ).
cnf(refute_0_2635,plain,
join(sk2,composition(top,sk2)) = composition(top,sk2),
inference(resolve,[$cnf( $equal(composition(join(one,top),sk2),composition(top,sk2)) )],[refute_0_2629,refute_0_2634]) ).
cnf(refute_0_2636,plain,
( join(sk2,complement(join(sk1,complement(composition(top,sk2))))) != join(sk2,composition(top,sk2))
| join(sk2,composition(top,sk2)) != composition(top,sk2)
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk2,complement(join(sk1,complement(composition(top,sk2))))),composition(top,sk2)) ),[0],$fot(join(sk2,composition(top,sk2)))]]) ).
cnf(refute_0_2637,plain,
( join(sk2,complement(join(sk1,complement(composition(top,sk2))))) != join(sk2,composition(top,sk2))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2) ),
inference(resolve,[$cnf( $equal(join(sk2,composition(top,sk2)),composition(top,sk2)) )],[refute_0_2635,refute_0_2636]) ).
cnf(refute_0_2638,plain,
( join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))) != join(sk2,composition(top,sk2))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk1,complement(composition(top,sk2))))),join(sk2,composition(top,sk2))) )],[refute_0_2624,refute_0_2637]) ).
cnf(refute_0_2639,plain,
join(sk2,complement(join(sk1,complement(composition(top,sk2))))) = composition(top,sk2),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,join(complement(join(sk1,complement(composition(top,sk2)))),sk2))),join(sk2,composition(top,sk2))) )],[refute_0_2614,refute_0_2638]) ).
cnf(refute_0_2640,plain,
( join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) != composition(top,sk2)
| join(sk1,composition(top,sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) ),[0,1],$fot(composition(top,sk2))]]) ).
cnf(refute_0_2641,plain,
( join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,composition(top,sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk1,complement(composition(top,sk2))))),composition(top,sk2)) )],[refute_0_2639,refute_0_2640]) ).
cnf(refute_0_2642,plain,
join(sk1,composition(top,sk2)) = join(sk2,complement(join(sk1,complement(composition(top,sk2))))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk2,complement(join(sk1,complement(composition(top,sk2)))))),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_2610,refute_0_2641]) ).
cnf(refute_0_2643,plain,
( join(sk1,composition(top,sk2)) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk2,complement(join(sk1,complement(composition(top,sk2))))) != composition(top,sk2)
| join(sk1,composition(top,sk2)) = composition(top,sk2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,composition(top,sk2)),composition(top,sk2)) ),[0],$fot(join(sk2,complement(join(sk1,complement(composition(top,sk2))))))]]) ).
cnf(refute_0_2644,plain,
( join(sk1,composition(top,sk2)) != join(sk2,complement(join(sk1,complement(composition(top,sk2)))))
| join(sk1,composition(top,sk2)) = composition(top,sk2) ),
inference(resolve,[$cnf( $equal(join(sk2,complement(join(sk1,complement(composition(top,sk2))))),composition(top,sk2)) )],[refute_0_2639,refute_0_2643]) ).
cnf(refute_0_2645,plain,
join(sk1,composition(top,sk2)) = composition(top,sk2),
inference(resolve,[$cnf( $equal(join(sk1,composition(top,sk2)),join(sk2,complement(join(sk1,complement(composition(top,sk2)))))) )],[refute_0_2642,refute_0_2644]) ).
cnf(refute_0_2646,plain,
( complement(sk1) != join(complement(join(sk1,composition(top,sk2))),meet(composition(top,sk2),complement(sk1)))
| join(sk1,composition(top,sk2)) != composition(top,sk2)
| complement(sk1) = join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(complement(join(sk1,composition(top,sk2))),meet(composition(top,sk2),complement(sk1)))) ),[1,0,0],$fot(composition(top,sk2))]]) ).
cnf(refute_0_2647,plain,
( complement(sk1) != join(complement(join(sk1,composition(top,sk2))),meet(composition(top,sk2),complement(sk1)))
| complement(sk1) = join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(top,sk2)),composition(top,sk2)) )],[refute_0_2645,refute_0_2646]) ).
cnf(refute_0_2648,plain,
complement(sk1) = join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(join(sk1,composition(top,sk2))),meet(composition(top,sk2),complement(sk1)))) )],[refute_0_2609,refute_0_2647]) ).
cnf(refute_0_2649,plain,
meet(composition(top,sk2),complement(sk1)) = meet(complement(sk1),composition(top,sk2)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk1))),bind(X_35,$fot(composition(top,sk2)))]]) ).
cnf(refute_0_2650,plain,
join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) = join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))))]]) ).
cnf(refute_0_2651,plain,
( join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) != join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))
| meet(composition(top,sk2),complement(sk1)) != meet(complement(sk1),composition(top,sk2))
| join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))),join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))) ),[1,1],$fot(meet(complement(sk1),composition(top,sk2)))]]) ).
cnf(refute_0_2652,plain,
( meet(composition(top,sk2),complement(sk1)) != meet(complement(sk1),composition(top,sk2))
| join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))),join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))),
inference(resolve,[$cnf( $equal(meet(composition(top,sk2),complement(sk1)),meet(complement(sk1),composition(top,sk2))) )],[refute_0_2649,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( complement(sk1) != join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))
| join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))) != join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))
| complement(sk1) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))) ),[0],$fot(join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))))]]) ).
cnf(refute_0_2655,plain,
( complement(sk1) != join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))
| complement(sk1) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1))),join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
complement(sk1) = join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(composition(top,sk2)),meet(composition(top,sk2),complement(sk1)))) )],[refute_0_2648,refute_0_2655]) ).
cnf(refute_0_2657,plain,
( complement(sk1) != join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))
| join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))))]]) ).
cnf(refute_0_2658,plain,
join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))) )],[refute_0_2656,refute_0_2657]) ).
cnf(refute_0_2659,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(composition(top,sk2))),converse(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))))
| join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))) != complement(sk1)
| converse(complement(composition(top,sk2))) = meet(converse(complement(composition(top,sk2))),converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,sk2))),meet(converse(complement(composition(top,sk2))),converse(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))))) ),[1,1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2660,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(composition(top,sk2))),converse(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))))
| converse(complement(composition(top,sk2))) = meet(converse(complement(composition(top,sk2))),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2))),complement(sk1)) )],[refute_0_2658,refute_0_2659]) ).
cnf(refute_0_2661,plain,
converse(complement(composition(top,sk2))) = meet(converse(complement(composition(top,sk2))),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk2))),meet(converse(complement(composition(top,sk2))),converse(join(complement(composition(top,sk2)),meet(complement(sk1),composition(top,sk2)))))) )],[refute_0_2608,refute_0_2660]) ).
cnf(refute_0_2662,plain,
meet(converse(complement(composition(top,sk2))),converse(complement(sk1))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(converse(complement(sk1)))),bind(X_35,$fot(converse(complement(composition(top,sk2)))))]]) ).
cnf(refute_0_2663,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(composition(top,sk2))),converse(complement(sk1)))
| meet(converse(complement(composition(top,sk2))),converse(complement(sk1))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| converse(complement(composition(top,sk2))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(top,sk2))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) ),[0],$fot(meet(converse(complement(composition(top,sk2))),converse(complement(sk1))))]]) ).
cnf(refute_0_2664,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(composition(top,sk2))),converse(complement(sk1)))
| converse(complement(composition(top,sk2))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk2))),converse(complement(sk1))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2662,refute_0_2663]) ).
cnf(refute_0_2665,plain,
converse(complement(composition(top,sk2))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk2))),meet(converse(complement(composition(top,sk2))),converse(complement(sk1)))) )],[refute_0_2661,refute_0_2664]) ).
cnf(refute_0_2666,plain,
converse(complement(composition(top,sk2))) = complement(converse(composition(top,sk2))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(composition(top,sk2)))]]) ).
cnf(refute_0_2667,plain,
( converse(complement(composition(top,sk2))) != complement(converse(composition(top,sk2)))
| converse(complement(composition(top,sk2))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| complement(converse(composition(top,sk2))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,sk2))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) ),[0],$fot(complement(converse(composition(top,sk2))))]]) ).
cnf(refute_0_2668,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| complement(converse(composition(top,sk2))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk2))),complement(converse(composition(top,sk2)))) )],[refute_0_2666,refute_0_2667]) ).
cnf(refute_0_2669,plain,
meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))))]]) ).
cnf(refute_0_2670,plain,
( converse(complement(composition(top,sk2))) != complement(converse(composition(top,sk2)))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) != meet(complement(converse(sk1)),converse(complement(composition(top,sk2))))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))),meet(complement(converse(sk1)),converse(complement(composition(top,sk2))))) ),[1,1],$fot(complement(converse(composition(top,sk2))))]]) ).
cnf(refute_0_2671,plain,
( converse(complement(composition(top,sk2))) != complement(converse(composition(top,sk2)))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))),meet(complement(converse(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2669,refute_0_2670]) ).
cnf(refute_0_2672,plain,
meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk2))),complement(converse(composition(top,sk2)))) )],[refute_0_2666,refute_0_2671]) ).
cnf(refute_0_2673,plain,
converse(complement(sk1)) = complement(converse(sk1)),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(sk1))]]) ).
cnf(refute_0_2674,plain,
meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))))]]) ).
cnf(refute_0_2675,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_2676,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2674,refute_0_2675]) ).
cnf(refute_0_2677,plain,
meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_2673,refute_0_2676]) ).
cnf(refute_0_2678,plain,
( meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) != meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) != meet(complement(converse(sk1)),converse(complement(composition(top,sk2))))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))))),bind(Y,$fot(meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))))),bind(Z,$fot(meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2679,plain,
( meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))) != meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),meet(complement(converse(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(top,sk2)))),meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))) )],[refute_0_2672,refute_0_2679]) ).
cnf(refute_0_2681,plain,
( complement(converse(composition(top,sk2))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))) != meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))
| complement(converse(composition(top,sk2))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))) ),[0],$fot(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))))]]) ).
cnf(refute_0_2682,plain,
( complement(converse(composition(top,sk2))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| complement(converse(composition(top,sk2))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),converse(complement(composition(top,sk2)))),meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
( converse(complement(composition(top,sk2))) != meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))
| complement(converse(composition(top,sk2))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,sk2))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2668,refute_0_2682]) ).
cnf(refute_0_2684,plain,
complement(converse(composition(top,sk2))) = meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk2))),meet(converse(complement(sk1)),converse(complement(composition(top,sk2))))) )],[refute_0_2665,refute_0_2683]) ).
cnf(refute_0_2685,plain,
( complement(converse(composition(top,sk2))) != meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))
| meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) = complement(converse(composition(top,sk2))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(composition(top,sk2))))),bind(Y,$fot(meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2686,plain,
meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) = complement(converse(composition(top,sk2))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),complement(converse(composition(top,sk2))))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))
| meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))) != complement(converse(composition(top,sk2)))
| complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))) ),[1,0],$fot(complement(converse(composition(top,sk2))))]]) ).
cnf(refute_0_2688,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))
| complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),complement(converse(composition(top,sk2)))) )],[refute_0_2686,refute_0_2687]) ).
cnf(refute_0_2689,plain,
complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),complement(converse(composition(top,sk2)))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))) )],[refute_0_2607,refute_0_2688]) ).
cnf(refute_0_2690,plain,
complement(complement(converse(composition(top,sk2)))) = converse(composition(top,sk2)),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(converse(composition(top,sk2))))]]) ).
cnf(refute_0_2691,plain,
meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) = meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2692,plain,
( complement(complement(converse(composition(top,sk2)))) != converse(composition(top,sk2))
| meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) != meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2)))))
| meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) = meet(complement(converse(sk1)),converse(composition(top,sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))),meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2)))))) ),[1,1],$fot(converse(composition(top,sk2)))]]) ).
cnf(refute_0_2693,plain,
( complement(complement(converse(composition(top,sk2)))) != converse(composition(top,sk2))
| meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) = meet(complement(converse(sk1)),converse(composition(top,sk2))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))),meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2)))))) )],[refute_0_2691,refute_0_2692]) ).
cnf(refute_0_2694,plain,
meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) = meet(complement(converse(sk1)),converse(composition(top,sk2))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,sk2)))),converse(composition(top,sk2))) )],[refute_0_2690,refute_0_2693]) ).
cnf(refute_0_2695,plain,
meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) = meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(converse(sk1)))),bind(X_35,$fot(complement(complement(converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2696,plain,
( meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) != meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2)))))
| meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) != meet(complement(converse(sk1)),converse(composition(top,sk2)))
| meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(composition(top,sk2))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))),bind(Y,$fot(meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(composition(top,sk2)))))]]) ).
cnf(refute_0_2697,plain,
( meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))) != meet(complement(converse(sk1)),converse(composition(top,sk2)))
| meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(composition(top,sk2))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))),meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2)))))) )],[refute_0_2695,refute_0_2696]) ).
cnf(refute_0_2698,plain,
meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(composition(top,sk2))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(complement(converse(composition(top,sk2))))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) )],[refute_0_2694,refute_0_2697]) ).
cnf(refute_0_2699,plain,
join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) = join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_2700,plain,
( join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) != join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))
| meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(composition(top,sk2)))
| join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))) ),[1,1],$fot(meet(complement(converse(sk1)),converse(composition(top,sk2))))]]) ).
cnf(refute_0_2701,plain,
( meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(composition(top,sk2)))
| join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))) )],[refute_0_2699,refute_0_2700]) ).
cnf(refute_0_2702,plain,
join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) )],[refute_0_2698,refute_0_2701]) ).
cnf(refute_0_2703,plain,
( complement(converse(sk1)) != join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))
| join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))) != join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))
| complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) ),[0],$fot(join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_2704,plain,
( complement(converse(sk1)) != join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))
| complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1)))),join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) )],[refute_0_2702,refute_0_2703]) ).
cnf(refute_0_2705,plain,
complement(converse(sk1)) = join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(converse(composition(top,sk2))),meet(complement(complement(converse(composition(top,sk2)))),complement(converse(sk1))))) )],[refute_0_2689,refute_0_2704]) ).
cnf(refute_0_2706,plain,
( complement(converse(sk1)) != join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))
| join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2707,plain,
join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
( join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))) != complement(converse(sk1))
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(complement(converse(sk1))),X_435) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) ),[1,0,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_2709,plain,
( join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(complement(converse(sk1))),X_435) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(converse(sk1))) )],[refute_0_2707,refute_0_2708]) ).
cnf(refute_0_2710,plain,
join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(complement(converse(sk1))),X_435),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) )],[refute_0_2606,refute_0_2709]) ).
cnf(refute_0_2711,plain,
join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),
inference(subst,[],[refute_0_272:[bind(A,$fot(complement(composition(top,sk2)))),bind(B,$fot(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),bind(C,$fot(X_435))]]) ).
cnf(refute_0_2712,plain,
converse(join(converse(complement(X_333)),X_10)) = join(complement(X_333),converse(X_10)),
inference(subst,[],[refute_0_804:[bind(A,$fot(complement(X_333)))]]) ).
cnf(refute_0_2713,plain,
( converse(complement(X_333)) != complement(converse(X_333))
| converse(join(converse(complement(X_333)),X_10)) != join(complement(X_333),converse(X_10))
| converse(join(complement(converse(X_333)),X_10)) = join(complement(X_333),converse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_333)),X_10)),join(complement(X_333),converse(X_10))) ),[0,0,0],$fot(complement(converse(X_333)))]]) ).
cnf(refute_0_2714,plain,
( converse(join(converse(complement(X_333)),X_10)) != join(complement(X_333),converse(X_10))
| converse(join(complement(converse(X_333)),X_10)) = join(complement(X_333),converse(X_10)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_333)),complement(converse(X_333))) )],[refute_0_2344,refute_0_2713]) ).
cnf(refute_0_2715,plain,
converse(join(complement(converse(X_333)),X_10)) = join(complement(X_333),converse(X_10)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_333)),X_10)),join(complement(X_333),converse(X_10))) )],[refute_0_2712,refute_0_2714]) ).
cnf(refute_0_2716,plain,
converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) = join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),
inference(subst,[],[refute_0_2715:[bind(X_10,$fot(meet(complement(converse(sk1)),converse(composition(top,sk2))))),bind(X_333,$fot(composition(top,sk2)))]]) ).
cnf(refute_0_2717,plain,
join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),
introduced(tautology,[refl,[$fot(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435))]]) ).
cnf(refute_0_2718,plain,
( converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) != join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) ),[1,0],$fot(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2719,plain,
( converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))) != join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) )],[refute_0_2716,refute_0_2719]) ).
cnf(refute_0_2721,plain,
( join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)
| join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435))),bind(Y,$fot(join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435))),bind(Z,$fot(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))))]]) ).
cnf(refute_0_2722,plain,
( join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) )],[refute_0_2720,refute_0_2721]) ).
cnf(refute_0_2723,plain,
join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),
inference(resolve,[$cnf( $equal(join(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))) )],[refute_0_2711,refute_0_2722]) ).
cnf(refute_0_2724,plain,
( join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)
| join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)))),bind(Y,$fot(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435))),bind(Z,$fot(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))))]]) ).
cnf(refute_0_2725,plain,
( join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435)) )],[refute_0_2606,refute_0_2724]) ).
cnf(refute_0_2726,plain,
join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(composition(top,sk2))),meet(complement(converse(sk1)),converse(composition(top,sk2))))),X_435),join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))) )],[refute_0_2723,refute_0_2725]) ).
cnf(refute_0_2727,plain,
( join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))
| join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(complement(converse(sk1))),X_435)
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(complement(converse(sk1))),X_435) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(complement(converse(sk1))),X_435)) ),[0],$fot(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)))]]) ).
cnf(refute_0_2728,plain,
( join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(complement(converse(sk1))),X_435)
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(converse(complement(converse(sk1))),X_435) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435))) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
converse(converse(sk1)) = sk1,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_2730,plain,
complement(converse(converse(sk1))) = complement(converse(converse(sk1))),
introduced(tautology,[refl,[$fot(complement(converse(converse(sk1))))]]) ).
cnf(refute_0_2731,plain,
( complement(converse(converse(sk1))) != complement(converse(converse(sk1)))
| converse(converse(sk1)) != sk1
| complement(converse(converse(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(sk1))),complement(converse(converse(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2732,plain,
( converse(converse(sk1)) != sk1
| complement(converse(converse(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(sk1))),complement(converse(converse(sk1)))) )],[refute_0_2730,refute_0_2731]) ).
cnf(refute_0_2733,plain,
complement(converse(converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(converse(sk1)),sk1) )],[refute_0_2729,refute_0_2732]) ).
cnf(refute_0_2734,plain,
converse(complement(converse(sk1))) = complement(converse(converse(sk1))),
inference(subst,[],[refute_0_1179:[bind(X_140,$fot(converse(sk1)))]]) ).
cnf(refute_0_2735,plain,
( complement(converse(converse(sk1))) != complement(sk1)
| converse(complement(converse(sk1))) != complement(converse(converse(sk1)))
| converse(complement(converse(sk1))) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(sk1))))),bind(Y,$fot(complement(converse(converse(sk1))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_2736,plain,
( complement(converse(converse(sk1))) != complement(sk1)
| converse(complement(converse(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),complement(converse(converse(sk1)))) )],[refute_0_2734,refute_0_2735]) ).
cnf(refute_0_2737,plain,
converse(complement(converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(converse(converse(sk1))),complement(sk1)) )],[refute_0_2733,refute_0_2736]) ).
cnf(refute_0_2738,plain,
join(converse(complement(converse(sk1))),X_435) = join(converse(complement(converse(sk1))),X_435),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(sk1))),X_435))]]) ).
cnf(refute_0_2739,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| join(converse(complement(converse(sk1))),X_435) != join(converse(complement(converse(sk1))),X_435)
| join(converse(complement(converse(sk1))),X_435) = join(complement(sk1),X_435) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(sk1))),X_435),join(converse(complement(converse(sk1))),X_435)) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2740,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| join(converse(complement(converse(sk1))),X_435) = join(complement(sk1),X_435) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(sk1))),X_435),join(converse(complement(converse(sk1))),X_435)) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
join(converse(complement(converse(sk1))),X_435) = join(complement(sk1),X_435),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),complement(sk1)) )],[refute_0_2737,refute_0_2740]) ).
cnf(refute_0_2742,plain,
( join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(complement(converse(sk1))),X_435)
| join(converse(complement(converse(sk1))),X_435) != join(complement(sk1),X_435)
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(sk1),X_435) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(complement(sk1),X_435)) ),[0],$fot(join(converse(complement(converse(sk1))),X_435))]]) ).
cnf(refute_0_2743,plain,
( join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(complement(converse(sk1))),X_435)
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(sk1),X_435) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(sk1))),X_435),join(complement(sk1),X_435)) )],[refute_0_2741,refute_0_2742]) ).
cnf(refute_0_2744,plain,
( join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) != join(converse(complement(converse(sk1))),X_435)
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(sk1),X_435) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(complement(converse(sk1))),X_435)) )],[refute_0_2728,refute_0_2743]) ).
cnf(refute_0_2745,plain,
join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)) = join(complement(sk1),X_435),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(top,sk2)))),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_435)),join(converse(complement(converse(sk1))),X_435)) )],[refute_0_2710,refute_0_2744]) ).
cnf(refute_0_2746,plain,
join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6)) = join(complement(sk1),X_6),
inference(subst,[],[refute_0_2745:[bind(X_435,$fot(X_6))]]) ).
cnf(refute_0_2747,plain,
( join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6))
| join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6)) != join(complement(sk1),X_6)
| join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) = join(complement(sk1),X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))),join(complement(sk1),X_6)) ),[0],$fot(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6)))]]) ).
cnf(refute_0_2748,plain,
( join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) != join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6))
| join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) = join(complement(sk1),X_6) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6)),join(complement(sk1),X_6)) )],[refute_0_2746,refute_0_2747]) ).
cnf(refute_0_2749,plain,
join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) = join(complement(sk1),X_6),
inference(resolve,[$cnf( $equal(join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))),join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),X_6))) )],[refute_0_2605,refute_0_2748]) ).
cnf(refute_0_2750,plain,
join(X_6,join(X_7,A)) = join(A,join(X_7,X_6)),
inference(subst,[],[refute_0_388:[bind(X_8,$fot(A))]]) ).
cnf(refute_0_2751,plain,
( join(A,join(X_6,X_7)) != join(X_6,join(X_7,A))
| join(X_6,join(X_7,A)) != join(A,join(X_7,X_6))
| join(A,join(X_6,X_7)) = join(A,join(X_7,X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_6,X_7)),join(A,join(X_7,X_6))) ),[0],$fot(join(X_6,join(X_7,A)))]]) ).
cnf(refute_0_2752,plain,
( join(A,join(X_6,X_7)) != join(X_6,join(X_7,A))
| join(A,join(X_6,X_7)) = join(A,join(X_7,X_6)) ),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,A)),join(A,join(X_7,X_6))) )],[refute_0_2750,refute_0_2751]) ).
cnf(refute_0_2753,plain,
join(A,join(X_6,X_7)) = join(A,join(X_7,X_6)),
inference(resolve,[$cnf( $equal(join(A,join(X_6,X_7)),join(X_6,join(X_7,A))) )],[refute_0_382,refute_0_2752]) ).
cnf(refute_0_2754,plain,
( join(A,join(X_6,X_7)) != join(A,join(X_7,X_6))
| join(A,join(X_7,X_6)) = join(A,join(X_6,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_6,X_7)))),bind(Y,$fot(join(A,join(X_7,X_6))))]]) ).
cnf(refute_0_2755,plain,
join(A,join(X_7,X_6)) = join(A,join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(A,join(X_6,X_7)),join(A,join(X_7,X_6))) )],[refute_0_2753,refute_0_2754]) ).
cnf(refute_0_2756,plain,
join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) = join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),
inference(subst,[],[refute_0_2755:[bind(A,$fot(X_6)),bind(X_6,$fot(complement(composition(top,sk2)))),bind(X_7,$fot(converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2757,plain,
( join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) != join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))
| join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) != join(complement(sk1),X_6)
| join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(complement(sk1),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))),join(complement(sk1),X_6)) ),[0],$fot(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))]]) ).
cnf(refute_0_2758,plain,
( join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))) != join(complement(sk1),X_6)
| join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(complement(sk1),X_6) ),
inference(resolve,[$cnf( $equal(join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))),join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) )],[refute_0_2756,refute_0_2757]) ).
cnf(refute_0_2759,plain,
join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(complement(sk1),X_6),
inference(resolve,[$cnf( $equal(join(X_6,join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),complement(composition(top,sk2)))),join(complement(sk1),X_6)) )],[refute_0_2749,refute_0_2758]) ).
cnf(refute_0_2760,plain,
join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) = join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))),
inference(subst,[],[refute_0_2745:[bind(X_435,$fot(meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))))]]) ).
cnf(refute_0_2761,plain,
join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) = join(complement(X_572),meet(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),
inference(subst,[],[refute_0_414:[bind(X_217,$fot(X_572)),bind(X_218,$fot(meet(complement(sk3),join(sk1,complement(X_572)))))]]) ).
cnf(refute_0_2762,plain,
meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = complement(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411)))))),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(X_411)),bind(X_403,$fot(join(sk3,complement(join(sk1,complement(X_411))))))]]) ).
cnf(refute_0_2763,plain,
join(X_359,join(sk1,join(complement(join(X_359,sk1)),sk3))) = top,
inference(subst,[],[refute_0_1449:[bind(A,$fot(X_359)),bind(C,$fot(sk3)),bind(X_15,$fot(sk1))]]) ).
cnf(refute_0_2764,plain,
join(sk1,join(complement(join(X_359,sk1)),sk3)) = join(sk3,complement(join(X_359,sk1))),
inference(subst,[],[refute_0_771:[bind(X_19,$fot(complement(join(X_359,sk1))))]]) ).
cnf(refute_0_2765,plain,
( join(X_359,join(sk1,join(complement(join(X_359,sk1)),sk3))) != top
| join(sk1,join(complement(join(X_359,sk1)),sk3)) != join(sk3,complement(join(X_359,sk1)))
| join(X_359,join(sk3,complement(join(X_359,sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_359,join(sk1,join(complement(join(X_359,sk1)),sk3))),top) ),[0,1],$fot(join(sk3,complement(join(X_359,sk1))))]]) ).
cnf(refute_0_2766,plain,
( join(X_359,join(sk1,join(complement(join(X_359,sk1)),sk3))) != top
| join(X_359,join(sk3,complement(join(X_359,sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(X_359,sk1)),sk3)),join(sk3,complement(join(X_359,sk1)))) )],[refute_0_2764,refute_0_2765]) ).
cnf(refute_0_2767,plain,
join(X_359,join(sk3,complement(join(X_359,sk1)))) = top,
inference(resolve,[$cnf( $equal(join(X_359,join(sk1,join(complement(join(X_359,sk1)),sk3))),top) )],[refute_0_2763,refute_0_2766]) ).
cnf(refute_0_2768,plain,
join(X_362,join(sk3,complement(join(X_362,sk1)))) = top,
inference(subst,[],[refute_0_2767:[bind(X_359,$fot(X_362))]]) ).
cnf(refute_0_2769,plain,
join(sk1,X_362) = join(X_362,sk1),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(sk1)),bind(B,$fot(X_362))]]) ).
cnf(refute_0_2770,plain,
( join(sk1,X_362) != join(X_362,sk1)
| join(X_362,sk1) = join(sk1,X_362) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,X_362))),bind(Y,$fot(join(X_362,sk1)))]]) ).
cnf(refute_0_2771,plain,
join(X_362,sk1) = join(sk1,X_362),
inference(resolve,[$cnf( $equal(join(sk1,X_362),join(X_362,sk1)) )],[refute_0_2769,refute_0_2770]) ).
cnf(refute_0_2772,plain,
( join(X_362,join(sk3,complement(join(X_362,sk1)))) != top
| join(X_362,sk1) != join(sk1,X_362)
| join(X_362,join(sk3,complement(join(sk1,X_362)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_362,join(sk3,complement(join(X_362,sk1)))),top) ),[0,1,1,0],$fot(join(sk1,X_362))]]) ).
cnf(refute_0_2773,plain,
( join(X_362,join(sk3,complement(join(X_362,sk1)))) != top
| join(X_362,join(sk3,complement(join(sk1,X_362)))) = top ),
inference(resolve,[$cnf( $equal(join(X_362,sk1),join(sk1,X_362)) )],[refute_0_2771,refute_0_2772]) ).
cnf(refute_0_2774,plain,
join(X_362,join(sk3,complement(join(sk1,X_362)))) = top,
inference(resolve,[$cnf( $equal(join(X_362,join(sk3,complement(join(X_362,sk1)))),top) )],[refute_0_2768,refute_0_2773]) ).
cnf(refute_0_2775,plain,
join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))) = top,
inference(subst,[],[refute_0_2774:[bind(X_362,$fot(complement(X_411)))]]) ).
cnf(refute_0_2776,plain,
( join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))) != top
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != complement(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))))
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),complement(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2777,plain,
( meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != complement(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))))
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))),top) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),complement(join(complement(X_411),join(sk3,complement(join(sk1,complement(X_411))))))) )],[refute_0_2762,refute_0_2777]) ).
cnf(refute_0_2779,plain,
meet(join(sk1,complement(X_411)),complement(sk3)) = meet(complement(sk3),join(sk1,complement(X_411))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk3))),bind(X_35,$fot(join(sk1,complement(X_411))))]]) ).
cnf(refute_0_2780,plain,
complement(join(sk3,complement(join(sk1,complement(X_411))))) = meet(join(sk1,complement(X_411)),complement(sk3)),
inference(subst,[],[refute_0_2239:[bind(X_378,$fot(join(sk1,complement(X_411)))),bind(X_379,$fot(sk3))]]) ).
cnf(refute_0_2781,plain,
( complement(join(sk3,complement(join(sk1,complement(X_411))))) != meet(join(sk1,complement(X_411)),complement(sk3))
| meet(join(sk1,complement(X_411)),complement(sk3)) != meet(complement(sk3),join(sk1,complement(X_411)))
| complement(join(sk3,complement(join(sk1,complement(X_411))))) = meet(complement(sk3),join(sk1,complement(X_411))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(sk3,complement(join(sk1,complement(X_411))))))),bind(Y,$fot(meet(join(sk1,complement(X_411)),complement(sk3)))),bind(Z,$fot(meet(complement(sk3),join(sk1,complement(X_411)))))]]) ).
cnf(refute_0_2782,plain,
( meet(join(sk1,complement(X_411)),complement(sk3)) != meet(complement(sk3),join(sk1,complement(X_411)))
| complement(join(sk3,complement(join(sk1,complement(X_411))))) = meet(complement(sk3),join(sk1,complement(X_411))) ),
inference(resolve,[$cnf( $equal(complement(join(sk3,complement(join(sk1,complement(X_411))))),meet(join(sk1,complement(X_411)),complement(sk3))) )],[refute_0_2780,refute_0_2781]) ).
cnf(refute_0_2783,plain,
complement(join(sk3,complement(join(sk1,complement(X_411))))) = meet(complement(sk3),join(sk1,complement(X_411))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(X_411)),complement(sk3)),meet(complement(sk3),join(sk1,complement(X_411)))) )],[refute_0_2779,refute_0_2782]) ).
cnf(refute_0_2784,plain,
meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),
introduced(tautology,[refl,[$fot(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))))]]) ).
cnf(refute_0_2785,plain,
( complement(join(sk3,complement(join(sk1,complement(X_411))))) != meet(complement(sk3),join(sk1,complement(X_411)))
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411))))))
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411))))))) ),[1,1],$fot(meet(complement(sk3),join(sk1,complement(X_411))))]]) ).
cnf(refute_0_2786,plain,
( complement(join(sk3,complement(join(sk1,complement(X_411))))) != meet(complement(sk3),join(sk1,complement(X_411)))
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) ),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411))))))) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) = meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))),
inference(resolve,[$cnf( $equal(complement(join(sk3,complement(join(sk1,complement(X_411))))),meet(complement(sk3),join(sk1,complement(X_411)))) )],[refute_0_2783,refute_0_2786]) ).
cnf(refute_0_2788,plain,
( meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != complement(top)
| meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != meet(X_411,meet(complement(sk3),join(sk1,complement(X_411))))
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),complement(top)) ),[0],$fot(meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))))]]) ).
cnf(refute_0_2789,plain,
( meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != complement(top)
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),meet(X_411,meet(complement(sk3),join(sk1,complement(X_411))))) )],[refute_0_2787,refute_0_2788]) ).
cnf(refute_0_2790,plain,
( complement(top) != zero
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) != complement(top)
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2791,plain,
( meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) != complement(top)
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2790]) ).
cnf(refute_0_2792,plain,
( meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))) != complement(top)
| meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))),complement(top)) )],[refute_0_2789,refute_0_2791]) ).
cnf(refute_0_2793,plain,
meet(X_411,meet(complement(sk3),join(sk1,complement(X_411)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_411,complement(join(sk3,complement(join(sk1,complement(X_411)))))),complement(top)) )],[refute_0_2778,refute_0_2792]) ).
cnf(refute_0_2794,plain,
meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))) = zero,
inference(subst,[],[refute_0_2793:[bind(X_411,$fot(X_572))]]) ).
cnf(refute_0_2795,plain,
( join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))) != zero
| join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)),join(complement(X_572),meet(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_2796,plain,
( join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) ),
inference(resolve,[$cnf( $equal(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),zero) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)),join(complement(X_572),meet(meet(X_572,meet(complement(sk3),join(sk1,complement(X_572)))),join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) )],[refute_0_2761,refute_0_2796]) ).
cnf(refute_0_2798,plain,
join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) = join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))),
inference(subst,[],[refute_0_2270:[bind(A,$fot(complement(X_572))),bind(X_6,$fot(meet(complement(sk3),join(sk1,complement(X_572)))))]]) ).
cnf(refute_0_2799,plain,
( join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572))))
| join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)),join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) ),[0],$fot(join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))))]]) ).
cnf(refute_0_2800,plain,
( join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)),join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572))))) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
join(zero,complement(X_572)) = complement(X_572),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(complement(X_572)))]]) ).
cnf(refute_0_2802,plain,
join(complement(X_572),zero) = join(zero,complement(X_572)),
inference(subst,[],[refute_0_2270:[bind(A,$fot(zero)),bind(X_6,$fot(complement(X_572)))]]) ).
cnf(refute_0_2803,plain,
( join(complement(X_572),zero) != join(zero,complement(X_572))
| join(zero,complement(X_572)) != complement(X_572)
| join(complement(X_572),zero) = complement(X_572) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_572),zero))),bind(Y,$fot(join(zero,complement(X_572)))),bind(Z,$fot(complement(X_572)))]]) ).
cnf(refute_0_2804,plain,
( join(zero,complement(X_572)) != complement(X_572)
| join(complement(X_572),zero) = complement(X_572) ),
inference(resolve,[$cnf( $equal(join(complement(X_572),zero),join(zero,complement(X_572))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
join(complement(X_572),zero) = complement(X_572),
inference(resolve,[$cnf( $equal(join(zero,complement(X_572)),complement(X_572)) )],[refute_0_2801,refute_0_2804]) ).
cnf(refute_0_2806,plain,
meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))) = zero,
inference(subst,[],[refute_0_2575:[bind(B,$fot(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))]]) ).
cnf(refute_0_2807,plain,
join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),
introduced(tautology,[refl,[$fot(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))))]]) ).
cnf(refute_0_2808,plain,
( join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))) != zero
| join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = join(complement(X_572),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2809,plain,
( meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))) != zero
| join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = join(complement(X_572),zero) ),
inference(resolve,[$cnf( $equal(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = join(complement(X_572),zero),
inference(resolve,[$cnf( $equal(meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))),zero) )],[refute_0_2806,refute_0_2809]) ).
cnf(refute_0_2811,plain,
( join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) != join(complement(X_572),zero)
| join(complement(X_572),zero) != complement(X_572)
| join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = complement(X_572) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))))),bind(Y,$fot(join(complement(X_572),zero))),bind(Z,$fot(complement(X_572)))]]) ).
cnf(refute_0_2812,plain,
( join(complement(X_572),zero) != complement(X_572)
| join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = complement(X_572) ),
inference(resolve,[$cnf( $equal(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),join(complement(X_572),zero)) )],[refute_0_2810,refute_0_2811]) ).
cnf(refute_0_2813,plain,
join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) = complement(X_572),
inference(resolve,[$cnf( $equal(join(complement(X_572),zero),complement(X_572)) )],[refute_0_2805,refute_0_2812]) ).
cnf(refute_0_2814,plain,
( join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))) != complement(X_572)
| join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = complement(X_572) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))),complement(X_572)) ),[0],$fot(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))))]]) ).
cnf(refute_0_2815,plain,
( join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = complement(X_572) ),
inference(resolve,[$cnf( $equal(join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)))),complement(X_572)) )],[refute_0_2813,refute_0_2814]) ).
cnf(refute_0_2816,plain,
( join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)) != join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))
| join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = complement(X_572) ),
inference(resolve,[$cnf( $equal(join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))),join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) )],[refute_0_2800,refute_0_2815]) ).
cnf(refute_0_2817,plain,
join(complement(X_572),meet(complement(sk3),join(sk1,complement(X_572)))) = complement(X_572),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572)),join(complement(X_572),meet(zero,join(meet(complement(sk3),join(sk1,complement(X_572))),complement(X_572))))) )],[refute_0_2797,refute_0_2816]) ).
cnf(refute_0_2818,plain,
join(complement(complement(X_93)),meet(complement(sk3),join(sk1,complement(complement(X_93))))) = complement(complement(X_93)),
inference(subst,[],[refute_0_2817:[bind(X_572,$fot(complement(X_93)))]]) ).
cnf(refute_0_2819,plain,
( complement(complement(X_93)) != X_93
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,complement(complement(X_93))))) != complement(complement(X_93))
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = complement(complement(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,complement(complement(X_93))))),complement(complement(X_93))) ),[0,1,1,1],$fot(X_93)]]) ).
cnf(refute_0_2820,plain,
( join(complement(complement(X_93)),meet(complement(sk3),join(sk1,complement(complement(X_93))))) != complement(complement(X_93))
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = complement(complement(X_93)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_2819]) ).
cnf(refute_0_2821,plain,
join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = complement(complement(X_93)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,complement(complement(X_93))))),complement(complement(X_93))) )],[refute_0_2818,refute_0_2820]) ).
cnf(refute_0_2822,plain,
join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))))]]) ).
cnf(refute_0_2823,plain,
( complement(complement(X_93)) != X_93
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) != join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93)))
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = join(X_93,meet(complement(sk3),join(sk1,X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93)))) ),[1,0],$fot(X_93)]]) ).
cnf(refute_0_2824,plain,
( complement(complement(X_93)) != X_93
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = join(X_93,meet(complement(sk3),join(sk1,X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93)))) )],[refute_0_2822,refute_0_2823]) ).
cnf(refute_0_2825,plain,
join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) = join(X_93,meet(complement(sk3),join(sk1,X_93))),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_2824]) ).
cnf(refute_0_2826,plain,
( join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) != complement(complement(X_93))
| join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) != join(X_93,meet(complement(sk3),join(sk1,X_93)))
| join(X_93,meet(complement(sk3),join(sk1,X_93))) = complement(complement(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),complement(complement(X_93))) ),[0],$fot(join(X_93,meet(complement(sk3),join(sk1,X_93))))]]) ).
cnf(refute_0_2827,plain,
( join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) != complement(complement(X_93))
| join(X_93,meet(complement(sk3),join(sk1,X_93))) = complement(complement(X_93)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),join(X_93,meet(complement(sk3),join(sk1,X_93)))) )],[refute_0_2825,refute_0_2826]) ).
cnf(refute_0_2828,plain,
( complement(complement(X_93)) != X_93
| join(X_93,meet(complement(sk3),join(sk1,X_93))) != complement(complement(X_93))
| join(X_93,meet(complement(sk3),join(sk1,X_93))) = X_93 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_93,meet(complement(sk3),join(sk1,X_93))),complement(complement(X_93))) ),[1],$fot(X_93)]]) ).
cnf(refute_0_2829,plain,
( join(X_93,meet(complement(sk3),join(sk1,X_93))) != complement(complement(X_93))
| join(X_93,meet(complement(sk3),join(sk1,X_93))) = X_93 ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_2828]) ).
cnf(refute_0_2830,plain,
( join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))) != complement(complement(X_93))
| join(X_93,meet(complement(sk3),join(sk1,X_93))) = X_93 ),
inference(resolve,[$cnf( $equal(join(X_93,meet(complement(sk3),join(sk1,X_93))),complement(complement(X_93))) )],[refute_0_2827,refute_0_2829]) ).
cnf(refute_0_2831,plain,
join(X_93,meet(complement(sk3),join(sk1,X_93))) = X_93,
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(complement(sk3),join(sk1,X_93))),complement(complement(X_93))) )],[refute_0_2821,refute_0_2830]) ).
cnf(refute_0_2832,plain,
join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) = converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),
inference(subst,[],[refute_0_2831:[bind(X_93,$fot(converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))]]) ).
cnf(refute_0_2833,plain,
( join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) != join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))
| join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) != converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))
| join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))),join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) ),[0,1],$fot(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))]]) ).
cnf(refute_0_2834,plain,
( join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) != join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))
| join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),join(converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))),join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) )],[refute_0_2760,refute_0_2834]) ).
cnf(refute_0_2836,plain,
join(meet(complement(sk3),X_484),complement(sk1)) = join(complement(sk1),meet(meet(sk1,meet(complement(sk3),X_484)),join(meet(complement(sk3),X_484),complement(sk1)))),
inference(subst,[],[refute_0_414:[bind(X_217,$fot(sk1)),bind(X_218,$fot(meet(complement(sk3),X_484)))]]) ).
cnf(refute_0_2837,plain,
meet(sk1,meet(complement(sk3),X_484)) = complement(complement(meet(sk1,meet(complement(sk3),X_484)))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(meet(sk1,meet(complement(sk3),X_484))))]]) ).
cnf(refute_0_2838,plain,
complement(meet(sk1,meet(complement(sk3),X_483))) = join(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),
inference(subst,[],[refute_0_441:[bind(X_140,$fot(sk3)),bind(X_141,$fot(complement(meet(sk1,meet(complement(sk3),X_483)))))]]) ).
cnf(refute_0_2839,plain,
meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = complement(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3))))),
inference(subst,[],[refute_0_489:[bind(X_401,$fot(sk3)),bind(X_403,$fot(meet(sk1,meet(X_481,complement(sk3)))))]]) ).
cnf(refute_0_2840,plain,
complement(sk3) = join(meet(complement(sk3),join(X_476,complement(sk1))),meet(complement(sk3),complement(join(complement(sk1),X_476)))),
inference(subst,[],[refute_0_607:[bind(X_6,$fot(X_476)),bind(X_8,$fot(complement(sk1))),bind(X_93,$fot(complement(sk3)))]]) ).
cnf(refute_0_2841,plain,
complement(sk3) = join(complement(join(sk3,join(X_62,complement(sk1)))),meet(join(X_62,complement(sk1)),complement(sk3))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(join(X_62,complement(sk1)))),bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_2842,plain,
join(sk3,join(complement(sk1),X_62)) = join(sk3,join(top,X_62)),
inference(subst,[],[refute_0_786:[bind(C,$fot(X_62))]]) ).
cnf(refute_0_2843,plain,
join(X_62,complement(sk1)) = join(complement(sk1),X_62),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_62)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_2844,plain,
( join(X_62,complement(sk1)) != join(complement(sk1),X_62)
| join(complement(sk1),X_62) = join(X_62,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_62,complement(sk1)))),bind(Y,$fot(join(complement(sk1),X_62)))]]) ).
cnf(refute_0_2845,plain,
join(complement(sk1),X_62) = join(X_62,complement(sk1)),
inference(resolve,[$cnf( $equal(join(X_62,complement(sk1)),join(complement(sk1),X_62)) )],[refute_0_2843,refute_0_2844]) ).
cnf(refute_0_2846,plain,
( join(complement(sk1),X_62) != join(X_62,complement(sk1))
| join(sk3,join(complement(sk1),X_62)) != join(sk3,join(top,X_62))
| join(sk3,join(X_62,complement(sk1))) = join(sk3,join(top,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(complement(sk1),X_62)),join(sk3,join(top,X_62))) ),[0,1],$fot(join(X_62,complement(sk1)))]]) ).
cnf(refute_0_2847,plain,
( join(sk3,join(complement(sk1),X_62)) != join(sk3,join(top,X_62))
| join(sk3,join(X_62,complement(sk1))) = join(sk3,join(top,X_62)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),X_62),join(X_62,complement(sk1))) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
join(sk3,join(X_62,complement(sk1))) = join(sk3,join(top,X_62)),
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),X_62)),join(sk3,join(top,X_62))) )],[refute_0_2842,refute_0_2847]) ).
cnf(refute_0_2849,plain,
join(top,X_62) = top,
inference(subst,[],[refute_0_536:[bind(X_44,$fot(X_62))]]) ).
cnf(refute_0_2850,plain,
join(sk3,join(top,X_62)) = join(sk3,join(top,X_62)),
introduced(tautology,[refl,[$fot(join(sk3,join(top,X_62)))]]) ).
cnf(refute_0_2851,plain,
( join(sk3,join(top,X_62)) != join(sk3,join(top,X_62))
| join(top,X_62) != top
| join(sk3,join(top,X_62)) = join(sk3,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,join(top,X_62)),join(sk3,join(top,X_62))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2852,plain,
( join(top,X_62) != top
| join(sk3,join(top,X_62)) = join(sk3,top) ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,X_62)),join(sk3,join(top,X_62))) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
join(sk3,join(top,X_62)) = join(sk3,top),
inference(resolve,[$cnf( $equal(join(top,X_62),top) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( join(sk3,join(top,X_62)) != join(sk3,top)
| join(sk3,top) != top
| join(sk3,join(top,X_62)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk3,join(top,X_62)))),bind(Y,$fot(join(sk3,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2855,plain,
( join(sk3,top) != top
| join(sk3,join(top,X_62)) = top ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,X_62)),join(sk3,top)) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
join(sk3,join(top,X_62)) = top,
inference(resolve,[$cnf( $equal(join(sk3,top),top) )],[refute_0_787,refute_0_2855]) ).
cnf(refute_0_2857,plain,
( join(sk3,join(X_62,complement(sk1))) != join(sk3,join(top,X_62))
| join(sk3,join(top,X_62)) != top
| join(sk3,join(X_62,complement(sk1))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk3,join(X_62,complement(sk1))),top) ),[0],$fot(join(sk3,join(top,X_62)))]]) ).
cnf(refute_0_2858,plain,
( join(sk3,join(X_62,complement(sk1))) != join(sk3,join(top,X_62))
| join(sk3,join(X_62,complement(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(sk3,join(top,X_62)),top) )],[refute_0_2856,refute_0_2857]) ).
cnf(refute_0_2859,plain,
join(sk3,join(X_62,complement(sk1))) = top,
inference(resolve,[$cnf( $equal(join(sk3,join(X_62,complement(sk1))),join(sk3,join(top,X_62))) )],[refute_0_2848,refute_0_2858]) ).
cnf(refute_0_2860,plain,
( complement(sk3) != join(complement(join(sk3,join(X_62,complement(sk1)))),meet(join(X_62,complement(sk1)),complement(sk3)))
| join(sk3,join(X_62,complement(sk1))) != top
| complement(sk3) = join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk3),join(complement(join(sk3,join(X_62,complement(sk1)))),meet(join(X_62,complement(sk1)),complement(sk3)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2861,plain,
( complement(sk3) != join(complement(join(sk3,join(X_62,complement(sk1)))),meet(join(X_62,complement(sk1)),complement(sk3)))
| complement(sk3) = join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(sk3,join(X_62,complement(sk1))),top) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
complement(sk3) = join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(join(sk3,join(X_62,complement(sk1)))),meet(join(X_62,complement(sk1)),complement(sk3)))) )],[refute_0_2841,refute_0_2861]) ).
cnf(refute_0_2863,plain,
join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) = meet(complement(sk3),join(X_62,complement(sk1))),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(complement(sk3),join(X_62,complement(sk1)))))]]) ).
cnf(refute_0_2864,plain,
meet(join(X_62,complement(sk1)),complement(sk3)) = meet(complement(sk3),join(X_62,complement(sk1))),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk3))),bind(X_35,$fot(join(X_62,complement(sk1))))]]) ).
cnf(refute_0_2865,plain,
join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(join(X_62,complement(sk1)),complement(sk3))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_62,complement(sk1)),complement(sk3))))]]) ).
cnf(refute_0_2866,plain,
( join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) != join(zero,meet(join(X_62,complement(sk1)),complement(sk3)))
| meet(join(X_62,complement(sk1)),complement(sk3)) != meet(complement(sk3),join(X_62,complement(sk1)))
| join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_62,complement(sk1)),complement(sk3))),join(zero,meet(join(X_62,complement(sk1)),complement(sk3)))) ),[1,1],$fot(meet(complement(sk3),join(X_62,complement(sk1))))]]) ).
cnf(refute_0_2867,plain,
( meet(join(X_62,complement(sk1)),complement(sk3)) != meet(complement(sk3),join(X_62,complement(sk1)))
| join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_62,complement(sk1)),complement(sk3))),join(zero,meet(join(X_62,complement(sk1)),complement(sk3)))) )],[refute_0_2865,refute_0_2866]) ).
cnf(refute_0_2868,plain,
join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(join(X_62,complement(sk1)),complement(sk3)),meet(complement(sk3),join(X_62,complement(sk1)))) )],[refute_0_2864,refute_0_2867]) ).
cnf(refute_0_2869,plain,
join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))))]]) ).
cnf(refute_0_2870,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) != join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2871,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))) )],[refute_0_2869,refute_0_2870]) ).
cnf(refute_0_2872,plain,
join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(join(X_62,complement(sk1)),complement(sk3))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2871]) ).
cnf(refute_0_2873,plain,
( join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) != join(zero,meet(join(X_62,complement(sk1)),complement(sk3)))
| join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) != join(zero,meet(complement(sk3),join(X_62,complement(sk1))))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))))),bind(Y,$fot(join(zero,meet(join(X_62,complement(sk1)),complement(sk3))))),bind(Z,$fot(join(zero,meet(complement(sk3),join(X_62,complement(sk1))))))]]) ).
cnf(refute_0_2874,plain,
( join(zero,meet(join(X_62,complement(sk1)),complement(sk3))) != join(zero,meet(complement(sk3),join(X_62,complement(sk1))))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),join(zero,meet(join(X_62,complement(sk1)),complement(sk3)))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = join(zero,meet(complement(sk3),join(X_62,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_62,complement(sk1)),complement(sk3))),join(zero,meet(complement(sk3),join(X_62,complement(sk1))))) )],[refute_0_2868,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) != join(zero,meet(complement(sk3),join(X_62,complement(sk1))))
| join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) != meet(complement(sk3),join(X_62,complement(sk1)))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = meet(complement(sk3),join(X_62,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))))),bind(Y,$fot(join(zero,meet(complement(sk3),join(X_62,complement(sk1)))))),bind(Z,$fot(meet(complement(sk3),join(X_62,complement(sk1)))))]]) ).
cnf(refute_0_2877,plain,
( join(zero,meet(complement(sk3),join(X_62,complement(sk1)))) != meet(complement(sk3),join(X_62,complement(sk1)))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = meet(complement(sk3),join(X_62,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),join(zero,meet(complement(sk3),join(X_62,complement(sk1))))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) = meet(complement(sk3),join(X_62,complement(sk1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk3),join(X_62,complement(sk1)))),meet(complement(sk3),join(X_62,complement(sk1)))) )],[refute_0_2863,refute_0_2877]) ).
cnf(refute_0_2879,plain,
( complement(sk3) != join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))
| join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))) != meet(complement(sk3),join(X_62,complement(sk1)))
| complement(sk3) = meet(complement(sk3),join(X_62,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk3),meet(complement(sk3),join(X_62,complement(sk1)))) ),[0],$fot(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))))]]) ).
cnf(refute_0_2880,plain,
( complement(sk3) != join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))
| complement(sk3) = meet(complement(sk3),join(X_62,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3))),meet(complement(sk3),join(X_62,complement(sk1)))) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
complement(sk3) = meet(complement(sk3),join(X_62,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(top),meet(join(X_62,complement(sk1)),complement(sk3)))) )],[refute_0_2862,refute_0_2880]) ).
cnf(refute_0_2882,plain,
complement(sk3) = meet(complement(sk3),join(X_476,complement(sk1))),
inference(subst,[],[refute_0_2881:[bind(X_62,$fot(X_476))]]) ).
cnf(refute_0_2883,plain,
( complement(sk3) != meet(complement(sk3),join(X_476,complement(sk1)))
| meet(complement(sk3),join(X_476,complement(sk1))) = complement(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk3))),bind(Y,$fot(meet(complement(sk3),join(X_476,complement(sk1)))))]]) ).
cnf(refute_0_2884,plain,
meet(complement(sk3),join(X_476,complement(sk1))) = complement(sk3),
inference(resolve,[$cnf( $equal(complement(sk3),meet(complement(sk3),join(X_476,complement(sk1)))) )],[refute_0_2882,refute_0_2883]) ).
cnf(refute_0_2885,plain,
( complement(sk3) != join(meet(complement(sk3),join(X_476,complement(sk1))),meet(complement(sk3),complement(join(complement(sk1),X_476))))
| meet(complement(sk3),join(X_476,complement(sk1))) != complement(sk3)
| complement(sk3) = join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk3),join(meet(complement(sk3),join(X_476,complement(sk1))),meet(complement(sk3),complement(join(complement(sk1),X_476))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_2886,plain,
( complement(sk3) != join(meet(complement(sk3),join(X_476,complement(sk1))),meet(complement(sk3),complement(join(complement(sk1),X_476))))
| complement(sk3) = join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk3),join(X_476,complement(sk1))),complement(sk3)) )],[refute_0_2884,refute_0_2885]) ).
cnf(refute_0_2887,plain,
complement(sk3) = join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))),
inference(resolve,[$cnf( $equal(complement(sk3),join(meet(complement(sk3),join(X_476,complement(sk1))),meet(complement(sk3),complement(join(complement(sk1),X_476))))) )],[refute_0_2840,refute_0_2886]) ).
cnf(refute_0_2888,plain,
complement(join(sk3,join(complement(sk1),X_476))) = meet(sk1,complement(join(X_476,sk3))),
inference(subst,[],[refute_0_599:[bind(A,$fot(sk3)),bind(X_378,$fot(sk1)),bind(X_7,$fot(X_476))]]) ).
cnf(refute_0_2889,plain,
meet(complement(sk3),complement(join(complement(sk1),X_476))) = complement(join(sk3,join(complement(sk1),X_476))),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(join(complement(sk1),X_476))),bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_2890,plain,
( complement(join(sk3,join(complement(sk1),X_476))) != meet(sk1,complement(join(X_476,sk3)))
| meet(complement(sk3),complement(join(complement(sk1),X_476))) != complement(join(sk3,join(complement(sk1),X_476)))
| meet(complement(sk3),complement(join(complement(sk1),X_476))) = meet(sk1,complement(join(X_476,sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk3),complement(join(complement(sk1),X_476))))),bind(Y,$fot(complement(join(sk3,join(complement(sk1),X_476))))),bind(Z,$fot(meet(sk1,complement(join(X_476,sk3)))))]]) ).
cnf(refute_0_2891,plain,
( complement(join(sk3,join(complement(sk1),X_476))) != meet(sk1,complement(join(X_476,sk3)))
| meet(complement(sk3),complement(join(complement(sk1),X_476))) = meet(sk1,complement(join(X_476,sk3))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk3),complement(join(complement(sk1),X_476))),complement(join(sk3,join(complement(sk1),X_476)))) )],[refute_0_2889,refute_0_2890]) ).
cnf(refute_0_2892,plain,
meet(complement(sk3),complement(join(complement(sk1),X_476))) = meet(sk1,complement(join(X_476,sk3))),
inference(resolve,[$cnf( $equal(complement(join(sk3,join(complement(sk1),X_476))),meet(sk1,complement(join(X_476,sk3)))) )],[refute_0_2888,refute_0_2891]) ).
cnf(refute_0_2893,plain,
join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) = join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))),
introduced(tautology,[refl,[$fot(join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))))]]) ).
cnf(refute_0_2894,plain,
( join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) != join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))
| meet(complement(sk3),complement(join(complement(sk1),X_476))) != meet(sk1,complement(join(X_476,sk3)))
| join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))),join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))) ),[1,1],$fot(meet(sk1,complement(join(X_476,sk3))))]]) ).
cnf(refute_0_2895,plain,
( meet(complement(sk3),complement(join(complement(sk1),X_476))) != meet(sk1,complement(join(X_476,sk3)))
| join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))),join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))) )],[refute_0_2893,refute_0_2894]) ).
cnf(refute_0_2896,plain,
join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))),
inference(resolve,[$cnf( $equal(meet(complement(sk3),complement(join(complement(sk1),X_476))),meet(sk1,complement(join(X_476,sk3)))) )],[refute_0_2892,refute_0_2895]) ).
cnf(refute_0_2897,plain,
( complement(sk3) != join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))
| join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))) != join(complement(sk3),meet(sk1,complement(join(X_476,sk3))))
| complement(sk3) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk3),join(complement(sk3),meet(sk1,complement(join(X_476,sk3))))) ),[0],$fot(join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))))]]) ).
cnf(refute_0_2898,plain,
( complement(sk3) != join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))
| complement(sk3) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476)))),join(complement(sk3),meet(sk1,complement(join(X_476,sk3))))) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
complement(sk3) = join(complement(sk3),meet(sk1,complement(join(X_476,sk3)))),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(sk3),meet(complement(sk3),complement(join(complement(sk1),X_476))))) )],[refute_0_2887,refute_0_2898]) ).
cnf(refute_0_2900,plain,
complement(sk3) = join(complement(sk3),meet(sk1,complement(join(complement(X_401),sk3)))),
inference(subst,[],[refute_0_2899:[bind(X_476,$fot(complement(X_401)))]]) ).
cnf(refute_0_2901,plain,
meet(X_401,complement(sk3)) = complement(join(complement(X_401),sk3)),
inference(subst,[],[refute_0_489:[bind(X_403,$fot(sk3))]]) ).
cnf(refute_0_2902,plain,
( meet(X_401,complement(sk3)) != complement(join(complement(X_401),sk3))
| complement(join(complement(X_401),sk3)) = meet(X_401,complement(sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_401,complement(sk3)))),bind(Y,$fot(complement(join(complement(X_401),sk3))))]]) ).
cnf(refute_0_2903,plain,
complement(join(complement(X_401),sk3)) = meet(X_401,complement(sk3)),
inference(resolve,[$cnf( $equal(meet(X_401,complement(sk3)),complement(join(complement(X_401),sk3))) )],[refute_0_2901,refute_0_2902]) ).
cnf(refute_0_2904,plain,
( complement(join(complement(X_401),sk3)) != meet(X_401,complement(sk3))
| complement(sk3) != join(complement(sk3),meet(sk1,complement(join(complement(X_401),sk3))))
| complement(sk3) = join(complement(sk3),meet(sk1,meet(X_401,complement(sk3)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk3),join(complement(sk3),meet(sk1,complement(join(complement(X_401),sk3))))) ),[1,1,1],$fot(meet(X_401,complement(sk3)))]]) ).
cnf(refute_0_2905,plain,
( complement(sk3) != join(complement(sk3),meet(sk1,complement(join(complement(X_401),sk3))))
| complement(sk3) = join(complement(sk3),meet(sk1,meet(X_401,complement(sk3)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_401),sk3)),meet(X_401,complement(sk3))) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
complement(sk3) = join(complement(sk3),meet(sk1,meet(X_401,complement(sk3)))),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(sk3),meet(sk1,complement(join(complement(X_401),sk3))))) )],[refute_0_2900,refute_0_2905]) ).
cnf(refute_0_2907,plain,
complement(sk3) = join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))),
inference(subst,[],[refute_0_2906:[bind(X_401,$fot(X_481))]]) ).
cnf(refute_0_2908,plain,
( complement(sk3) != join(complement(sk3),meet(sk1,meet(X_481,complement(sk3))))
| join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))) = complement(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk3))),bind(Y,$fot(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3))))))]]) ).
cnf(refute_0_2909,plain,
join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))) = complement(sk3),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(sk3),meet(sk1,meet(X_481,complement(sk3))))) )],[refute_0_2907,refute_0_2908]) ).
cnf(refute_0_2910,plain,
( join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))) != complement(sk3)
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) != complement(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))))
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = complement(complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))),complement(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_2911,plain,
( meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) != complement(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))))
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = complement(complement(sk3)) ),
inference(resolve,[$cnf( $equal(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))),complement(sk3)) )],[refute_0_2909,refute_0_2910]) ).
cnf(refute_0_2912,plain,
meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = complement(complement(sk3)),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))),complement(join(complement(sk3),meet(sk1,meet(X_481,complement(sk3)))))) )],[refute_0_2839,refute_0_2911]) ).
cnf(refute_0_2913,plain,
complement(complement(sk3)) = sk3,
inference(subst,[],[refute_0_314:[bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_2914,plain,
( complement(complement(sk3)) != sk3
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) != complement(complement(sk3))
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))),complement(complement(sk3))) ),[1],$fot(sk3)]]) ).
cnf(refute_0_2915,plain,
( meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) != complement(complement(sk3))
| meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = sk3 ),
inference(resolve,[$cnf( $equal(complement(complement(sk3)),sk3) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))) = sk3,
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_481,complement(sk3))))),complement(complement(sk3))) )],[refute_0_2912,refute_0_2915]) ).
cnf(refute_0_2917,plain,
meet(sk3,complement(meet(sk1,meet(X_482,complement(sk3))))) = sk3,
inference(subst,[],[refute_0_2916:[bind(X_481,$fot(X_482))]]) ).
cnf(refute_0_2918,plain,
meet(complement(sk3),X_482) = meet(X_482,complement(sk3)),
inference(subst,[],[refute_0_220:[bind(X_34,$fot(complement(sk3))),bind(X_35,$fot(X_482))]]) ).
cnf(refute_0_2919,plain,
( meet(complement(sk3),X_482) != meet(X_482,complement(sk3))
| meet(X_482,complement(sk3)) = meet(complement(sk3),X_482) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(sk3),X_482))),bind(Y,$fot(meet(X_482,complement(sk3))))]]) ).
cnf(refute_0_2920,plain,
meet(X_482,complement(sk3)) = meet(complement(sk3),X_482),
inference(resolve,[$cnf( $equal(meet(complement(sk3),X_482),meet(X_482,complement(sk3))) )],[refute_0_2918,refute_0_2919]) ).
cnf(refute_0_2921,plain,
( meet(X_482,complement(sk3)) != meet(complement(sk3),X_482)
| meet(sk3,complement(meet(sk1,meet(X_482,complement(sk3))))) != sk3
| meet(sk3,complement(meet(sk1,meet(complement(sk3),X_482)))) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_482,complement(sk3))))),sk3) ),[0,1,0,1],$fot(meet(complement(sk3),X_482))]]) ).
cnf(refute_0_2922,plain,
( meet(sk3,complement(meet(sk1,meet(X_482,complement(sk3))))) != sk3
| meet(sk3,complement(meet(sk1,meet(complement(sk3),X_482)))) = sk3 ),
inference(resolve,[$cnf( $equal(meet(X_482,complement(sk3)),meet(complement(sk3),X_482)) )],[refute_0_2920,refute_0_2921]) ).
cnf(refute_0_2923,plain,
meet(sk3,complement(meet(sk1,meet(complement(sk3),X_482)))) = sk3,
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(X_482,complement(sk3))))),sk3) )],[refute_0_2917,refute_0_2922]) ).
cnf(refute_0_2924,plain,
meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))) = sk3,
inference(subst,[],[refute_0_2923:[bind(X_482,$fot(X_483))]]) ).
cnf(refute_0_2925,plain,
( complement(meet(sk1,meet(complement(sk3),X_483))) != join(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))
| meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))) != sk3
| complement(meet(sk1,meet(complement(sk3),X_483))) = join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,meet(complement(sk3),X_483))),join(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))) ),[1,0],$fot(sk3)]]) ).
cnf(refute_0_2926,plain,
( complement(meet(sk1,meet(complement(sk3),X_483))) != join(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))
| complement(meet(sk1,meet(complement(sk3),X_483))) = join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) ),
inference(resolve,[$cnf( $equal(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),sk3) )],[refute_0_2924,refute_0_2925]) ).
cnf(refute_0_2927,plain,
complement(meet(sk1,meet(complement(sk3),X_483))) = join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk3),X_483))),join(meet(sk3,complement(meet(sk1,meet(complement(sk3),X_483)))),meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))) )],[refute_0_2838,refute_0_2926]) ).
cnf(refute_0_2928,plain,
join(sk3,complement(sk3)) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(sk3))]]) ).
cnf(refute_0_2929,plain,
join(sk3,meet(sk1,complement(X_467))) = complement(complement(join(sk3,meet(sk1,complement(X_467))))),
inference(subst,[],[refute_0_247:[bind(X_93,$fot(join(sk3,meet(sk1,complement(X_467)))))]]) ).
cnf(refute_0_2930,plain,
meet(complement(sk3),join(complement(sk1),C)) = meet(join(complement(sk1),C),meet(complement(sk3),join(complement(sk1),C))),
inference(subst,[],[refute_0_730:[bind(X_127,$fot(join(complement(sk1),C))),bind(X_128,$fot(complement(sk3)))]]) ).
cnf(refute_0_2931,plain,
complement(sk3) = join(complement(join(sk3,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk3))),
inference(subst,[],[refute_0_616:[bind(X_128,$fot(join(complement(sk1),C))),bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_2932,plain,
( complement(sk3) != join(complement(join(sk3,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk3)))
| join(sk3,join(complement(sk1),C)) != top
| complement(sk3) = join(complement(top),meet(join(complement(sk1),C),complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk3),join(complement(join(sk3,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk3)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2933,plain,
( complement(sk3) != join(complement(join(sk3,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk3)))
| complement(sk3) = join(complement(top),meet(join(complement(sk1),C),complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(sk3,join(complement(sk1),C)),top) )],[refute_0_797,refute_0_2932]) ).
cnf(refute_0_2934,plain,
complement(sk3) = join(complement(top),meet(join(complement(sk1),C),complement(sk3))),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(join(sk3,join(complement(sk1),C))),meet(join(complement(sk1),C),complement(sk3)))) )],[refute_0_2931,refute_0_2933]) ).
cnf(refute_0_2935,plain,
join(zero,meet(complement(sk3),join(complement(sk1),C))) = meet(complement(sk3),join(complement(sk1),C)),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(complement(sk3),join(complement(sk1),C))))]]) ).
cnf(refute_0_2936,plain,
meet(join(complement(sk1),C),complement(sk3)) = meet(complement(sk3),join(complement(sk1),C)),
inference(subst,[],[refute_0_338:[bind(X_34,$fot(complement(sk3))),bind(X_35,$fot(join(complement(sk1),C)))]]) ).
cnf(refute_0_2937,plain,
join(zero,meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(join(complement(sk1),C),complement(sk3))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(sk1),C),complement(sk3))))]]) ).
cnf(refute_0_2938,plain,
( join(zero,meet(join(complement(sk1),C),complement(sk3))) != join(zero,meet(join(complement(sk1),C),complement(sk3)))
| meet(join(complement(sk1),C),complement(sk3)) != meet(complement(sk3),join(complement(sk1),C))
| join(zero,meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk3))),join(zero,meet(join(complement(sk1),C),complement(sk3)))) ),[1,1],$fot(meet(complement(sk3),join(complement(sk1),C)))]]) ).
cnf(refute_0_2939,plain,
( meet(join(complement(sk1),C),complement(sk3)) != meet(complement(sk3),join(complement(sk1),C))
| join(zero,meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk3))),join(zero,meet(join(complement(sk1),C),complement(sk3)))) )],[refute_0_2937,refute_0_2938]) ).
cnf(refute_0_2940,plain,
join(zero,meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk3)),meet(complement(sk3),join(complement(sk1),C))) )],[refute_0_2936,refute_0_2939]) ).
cnf(refute_0_2941,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(complement(top),meet(join(complement(sk1),C),complement(sk3))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk3))))]]) ).
cnf(refute_0_2942,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) != join(complement(top),meet(join(complement(sk1),C),complement(sk3)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(join(complement(sk1),C),complement(sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk3))),join(complement(top),meet(join(complement(sk1),C),complement(sk3)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2943,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(join(complement(sk1),C),complement(sk3))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk3))),join(complement(top),meet(join(complement(sk1),C),complement(sk3)))) )],[refute_0_2941,refute_0_2942]) ).
cnf(refute_0_2944,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(join(complement(sk1),C),complement(sk3))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2943]) ).
cnf(refute_0_2945,plain,
( join(complement(top),meet(join(complement(sk1),C),complement(sk3))) != join(zero,meet(join(complement(sk1),C),complement(sk3)))
| join(zero,meet(join(complement(sk1),C),complement(sk3))) != join(zero,meet(complement(sk3),join(complement(sk1),C)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk3))))),bind(Y,$fot(join(zero,meet(join(complement(sk1),C),complement(sk3))))),bind(Z,$fot(join(zero,meet(complement(sk3),join(complement(sk1),C)))))]]) ).
cnf(refute_0_2946,plain,
( join(zero,meet(join(complement(sk1),C),complement(sk3))) != join(zero,meet(complement(sk3),join(complement(sk1),C)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk3))),join(zero,meet(join(complement(sk1),C),complement(sk3)))) )],[refute_0_2944,refute_0_2945]) ).
cnf(refute_0_2947,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = join(zero,meet(complement(sk3),join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(sk1),C),complement(sk3))),join(zero,meet(complement(sk3),join(complement(sk1),C)))) )],[refute_0_2940,refute_0_2946]) ).
cnf(refute_0_2948,plain,
( join(complement(top),meet(join(complement(sk1),C),complement(sk3))) != join(zero,meet(complement(sk3),join(complement(sk1),C)))
| join(zero,meet(complement(sk3),join(complement(sk1),C))) != meet(complement(sk3),join(complement(sk1),C))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = meet(complement(sk3),join(complement(sk1),C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk3))))),bind(Y,$fot(join(zero,meet(complement(sk3),join(complement(sk1),C))))),bind(Z,$fot(meet(complement(sk3),join(complement(sk1),C))))]]) ).
cnf(refute_0_2949,plain,
( join(zero,meet(complement(sk3),join(complement(sk1),C))) != meet(complement(sk3),join(complement(sk1),C))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = meet(complement(sk3),join(complement(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk3))),join(zero,meet(complement(sk3),join(complement(sk1),C)))) )],[refute_0_2947,refute_0_2948]) ).
cnf(refute_0_2950,plain,
join(complement(top),meet(join(complement(sk1),C),complement(sk3))) = meet(complement(sk3),join(complement(sk1),C)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk3),join(complement(sk1),C))),meet(complement(sk3),join(complement(sk1),C))) )],[refute_0_2935,refute_0_2949]) ).
cnf(refute_0_2951,plain,
( complement(sk3) != join(complement(top),meet(join(complement(sk1),C),complement(sk3)))
| join(complement(top),meet(join(complement(sk1),C),complement(sk3))) != meet(complement(sk3),join(complement(sk1),C))
| complement(sk3) = meet(complement(sk3),join(complement(sk1),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk3),meet(complement(sk3),join(complement(sk1),C))) ),[0],$fot(join(complement(top),meet(join(complement(sk1),C),complement(sk3))))]]) ).
cnf(refute_0_2952,plain,
( complement(sk3) != join(complement(top),meet(join(complement(sk1),C),complement(sk3)))
| complement(sk3) = meet(complement(sk3),join(complement(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(sk1),C),complement(sk3))),meet(complement(sk3),join(complement(sk1),C))) )],[refute_0_2950,refute_0_2951]) ).
cnf(refute_0_2953,plain,
complement(sk3) = meet(complement(sk3),join(complement(sk1),C)),
inference(resolve,[$cnf( $equal(complement(sk3),join(complement(top),meet(join(complement(sk1),C),complement(sk3)))) )],[refute_0_2934,refute_0_2952]) ).
cnf(refute_0_2954,plain,
( complement(sk3) != meet(complement(sk3),join(complement(sk1),C))
| meet(complement(sk3),join(complement(sk1),C)) = complement(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk3))),bind(Y,$fot(meet(complement(sk3),join(complement(sk1),C))))]]) ).
cnf(refute_0_2955,plain,
meet(complement(sk3),join(complement(sk1),C)) = complement(sk3),
inference(resolve,[$cnf( $equal(complement(sk3),meet(complement(sk3),join(complement(sk1),C))) )],[refute_0_2953,refute_0_2954]) ).
cnf(refute_0_2956,plain,
( meet(complement(sk3),join(complement(sk1),C)) != complement(sk3)
| meet(complement(sk3),join(complement(sk1),C)) != meet(join(complement(sk1),C),meet(complement(sk3),join(complement(sk1),C)))
| meet(complement(sk3),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),meet(join(complement(sk1),C),meet(complement(sk3),join(complement(sk1),C)))) ),[1,1],$fot(complement(sk3))]]) ).
cnf(refute_0_2957,plain,
( meet(complement(sk3),join(complement(sk1),C)) != meet(join(complement(sk1),C),meet(complement(sk3),join(complement(sk1),C)))
| meet(complement(sk3),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk3)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),complement(sk3)) )],[refute_0_2955,refute_0_2956]) ).
cnf(refute_0_2958,plain,
meet(complement(sk3),join(complement(sk1),C)) = meet(join(complement(sk1),C),complement(sk3)),
inference(resolve,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),meet(join(complement(sk1),C),meet(complement(sk3),join(complement(sk1),C)))) )],[refute_0_2930,refute_0_2957]) ).
cnf(refute_0_2959,plain,
( meet(complement(sk3),join(complement(sk1),C)) != complement(sk3)
| meet(complement(sk3),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk3))
| complement(sk3) = meet(join(complement(sk1),C),complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),meet(join(complement(sk1),C),complement(sk3))) ),[0],$fot(complement(sk3))]]) ).
cnf(refute_0_2960,plain,
( meet(complement(sk3),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk3))
| complement(sk3) = meet(join(complement(sk1),C),complement(sk3)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),complement(sk3)) )],[refute_0_2955,refute_0_2959]) ).
cnf(refute_0_2961,plain,
complement(join(meet(sk1,complement(C)),sk3)) = complement(join(sk3,meet(sk1,complement(C)))),
inference(subst,[],[refute_0_1200:[bind(X_10,$fot(sk3)),bind(X_9,$fot(meet(sk1,complement(C))))]]) ).
cnf(refute_0_2962,plain,
meet(join(complement(sk1),C),complement(sk3)) = complement(join(meet(sk1,complement(C)),sk3)),
inference(subst,[],[refute_0_1208:[bind(X_403,$fot(sk3)),bind(X_411,$fot(sk1)),bind(X_412,$fot(C))]]) ).
cnf(refute_0_2963,plain,
( complement(join(meet(sk1,complement(C)),sk3)) != complement(join(sk3,meet(sk1,complement(C))))
| meet(join(complement(sk1),C),complement(sk3)) != complement(join(meet(sk1,complement(C)),sk3))
| meet(join(complement(sk1),C),complement(sk3)) = complement(join(sk3,meet(sk1,complement(C)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(sk1),C),complement(sk3)))),bind(Y,$fot(complement(join(meet(sk1,complement(C)),sk3)))),bind(Z,$fot(complement(join(sk3,meet(sk1,complement(C))))))]]) ).
cnf(refute_0_2964,plain,
( complement(join(meet(sk1,complement(C)),sk3)) != complement(join(sk3,meet(sk1,complement(C))))
| meet(join(complement(sk1),C),complement(sk3)) = complement(join(sk3,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk3)),complement(join(meet(sk1,complement(C)),sk3))) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
meet(join(complement(sk1),C),complement(sk3)) = complement(join(sk3,meet(sk1,complement(C)))),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,complement(C)),sk3)),complement(join(sk3,meet(sk1,complement(C))))) )],[refute_0_2961,refute_0_2964]) ).
cnf(refute_0_2966,plain,
( complement(sk3) != meet(join(complement(sk1),C),complement(sk3))
| meet(join(complement(sk1),C),complement(sk3)) != complement(join(sk3,meet(sk1,complement(C))))
| complement(sk3) = complement(join(sk3,meet(sk1,complement(C)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk3),complement(join(sk3,meet(sk1,complement(C))))) ),[0],$fot(meet(join(complement(sk1),C),complement(sk3)))]]) ).
cnf(refute_0_2967,plain,
( complement(sk3) != meet(join(complement(sk1),C),complement(sk3))
| complement(sk3) = complement(join(sk3,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),C),complement(sk3)),complement(join(sk3,meet(sk1,complement(C))))) )],[refute_0_2965,refute_0_2966]) ).
cnf(refute_0_2968,plain,
( meet(complement(sk3),join(complement(sk1),C)) != meet(join(complement(sk1),C),complement(sk3))
| complement(sk3) = complement(join(sk3,meet(sk1,complement(C)))) ),
inference(resolve,[$cnf( $equal(complement(sk3),meet(join(complement(sk1),C),complement(sk3))) )],[refute_0_2960,refute_0_2967]) ).
cnf(refute_0_2969,plain,
complement(sk3) = complement(join(sk3,meet(sk1,complement(C)))),
inference(resolve,[$cnf( $equal(meet(complement(sk3),join(complement(sk1),C)),meet(join(complement(sk1),C),complement(sk3))) )],[refute_0_2958,refute_0_2968]) ).
cnf(refute_0_2970,plain,
complement(sk3) = complement(join(sk3,meet(sk1,complement(X_467)))),
inference(subst,[],[refute_0_2969:[bind(C,$fot(X_467))]]) ).
cnf(refute_0_2971,plain,
( complement(sk3) != complement(join(sk3,meet(sk1,complement(X_467))))
| complement(join(sk3,meet(sk1,complement(X_467)))) = complement(sk3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk3))),bind(Y,$fot(complement(join(sk3,meet(sk1,complement(X_467))))))]]) ).
cnf(refute_0_2972,plain,
complement(join(sk3,meet(sk1,complement(X_467)))) = complement(sk3),
inference(resolve,[$cnf( $equal(complement(sk3),complement(join(sk3,meet(sk1,complement(X_467))))) )],[refute_0_2970,refute_0_2971]) ).
cnf(refute_0_2973,plain,
( complement(join(sk3,meet(sk1,complement(X_467)))) != complement(sk3)
| join(sk3,meet(sk1,complement(X_467))) != complement(complement(join(sk3,meet(sk1,complement(X_467)))))
| join(sk3,meet(sk1,complement(X_467))) = complement(complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,meet(sk1,complement(X_467))),complement(complement(join(sk3,meet(sk1,complement(X_467)))))) ),[1,0],$fot(complement(sk3))]]) ).
cnf(refute_0_2974,plain,
( join(sk3,meet(sk1,complement(X_467))) != complement(complement(join(sk3,meet(sk1,complement(X_467)))))
| join(sk3,meet(sk1,complement(X_467))) = complement(complement(sk3)) ),
inference(resolve,[$cnf( $equal(complement(join(sk3,meet(sk1,complement(X_467)))),complement(sk3)) )],[refute_0_2972,refute_0_2973]) ).
cnf(refute_0_2975,plain,
join(sk3,meet(sk1,complement(X_467))) = complement(complement(sk3)),
inference(resolve,[$cnf( $equal(join(sk3,meet(sk1,complement(X_467))),complement(complement(join(sk3,meet(sk1,complement(X_467)))))) )],[refute_0_2929,refute_0_2974]) ).
cnf(refute_0_2976,plain,
( complement(complement(sk3)) != sk3
| join(sk3,meet(sk1,complement(X_467))) != complement(complement(sk3))
| join(sk3,meet(sk1,complement(X_467))) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,meet(sk1,complement(X_467))),complement(complement(sk3))) ),[1],$fot(sk3)]]) ).
cnf(refute_0_2977,plain,
( join(sk3,meet(sk1,complement(X_467))) != complement(complement(sk3))
| join(sk3,meet(sk1,complement(X_467))) = sk3 ),
inference(resolve,[$cnf( $equal(complement(complement(sk3)),sk3) )],[refute_0_2913,refute_0_2976]) ).
cnf(refute_0_2978,plain,
join(sk3,meet(sk1,complement(X_467))) = sk3,
inference(resolve,[$cnf( $equal(join(sk3,meet(sk1,complement(X_467))),complement(complement(sk3))) )],[refute_0_2975,refute_0_2977]) ).
cnf(refute_0_2979,plain,
join(sk3,meet(sk1,complement(complement(X_93)))) = sk3,
inference(subst,[],[refute_0_2978:[bind(X_467,$fot(complement(X_93)))]]) ).
cnf(refute_0_2980,plain,
( complement(complement(X_93)) != X_93
| join(sk3,meet(sk1,complement(complement(X_93)))) != sk3
| join(sk3,meet(sk1,X_93)) = sk3 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,meet(sk1,complement(complement(X_93)))),sk3) ),[0,1,1],$fot(X_93)]]) ).
cnf(refute_0_2981,plain,
( join(sk3,meet(sk1,complement(complement(X_93)))) != sk3
| join(sk3,meet(sk1,X_93)) = sk3 ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_314,refute_0_2980]) ).
cnf(refute_0_2982,plain,
join(sk3,meet(sk1,X_93)) = sk3,
inference(resolve,[$cnf( $equal(join(sk3,meet(sk1,complement(complement(X_93)))),sk3) )],[refute_0_2979,refute_0_2981]) ).
cnf(refute_0_2983,plain,
join(sk3,meet(sk1,meet(complement(sk3),X_483))) = sk3,
inference(subst,[],[refute_0_2982:[bind(X_93,$fot(meet(complement(sk3),X_483)))]]) ).
cnf(refute_0_2984,plain,
complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) = complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))),
introduced(tautology,[refl,[$fot(complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))))]]) ).
cnf(refute_0_2985,plain,
( complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) != complement(join(sk3,meet(sk1,meet(complement(sk3),X_483))))
| join(sk3,meet(sk1,meet(complement(sk3),X_483))) != sk3
| complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))),complement(join(sk3,meet(sk1,meet(complement(sk3),X_483))))) ),[1,0],$fot(sk3)]]) ).
cnf(refute_0_2986,plain,
( join(sk3,meet(sk1,meet(complement(sk3),X_483))) != sk3
| complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3) ),
inference(resolve,[$cnf( $equal(complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))),complement(join(sk3,meet(sk1,meet(complement(sk3),X_483))))) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3),
inference(resolve,[$cnf( $equal(join(sk3,meet(sk1,meet(complement(sk3),X_483))),sk3) )],[refute_0_2983,refute_0_2986]) ).
cnf(refute_0_2988,plain,
meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) = complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(meet(sk1,meet(complement(sk3),X_483)))),bind(X_93,$fot(sk3))]]) ).
cnf(refute_0_2989,plain,
( complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) != complement(sk3)
| meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) != complement(join(sk3,meet(sk1,meet(complement(sk3),X_483))))
| meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))),bind(Y,$fot(complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))))),bind(Z,$fot(complement(sk3)))]]) ).
cnf(refute_0_2990,plain,
( complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))) != complement(sk3)
| meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3) ),
inference(resolve,[$cnf( $equal(meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))),complement(join(sk3,meet(sk1,meet(complement(sk3),X_483))))) )],[refute_0_2988,refute_0_2989]) ).
cnf(refute_0_2991,plain,
meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) = complement(sk3),
inference(resolve,[$cnf( $equal(complement(join(sk3,meet(sk1,meet(complement(sk3),X_483)))),complement(sk3)) )],[refute_0_2987,refute_0_2990]) ).
cnf(refute_0_2992,plain,
join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),
introduced(tautology,[refl,[$fot(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))))]]) ).
cnf(refute_0_2993,plain,
( join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) != join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))
| meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) != complement(sk3)
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = join(sk3,complement(sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))) ),[1,1],$fot(complement(sk3))]]) ).
cnf(refute_0_2994,plain,
( meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))) != complement(sk3)
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = join(sk3,complement(sk3)) ),
inference(resolve,[$cnf( $equal(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))) )],[refute_0_2992,refute_0_2993]) ).
cnf(refute_0_2995,plain,
join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = join(sk3,complement(sk3)),
inference(resolve,[$cnf( $equal(meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))),complement(sk3)) )],[refute_0_2991,refute_0_2994]) ).
cnf(refute_0_2996,plain,
( join(sk3,complement(sk3)) != top
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) != join(sk3,complement(sk3))
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))))),bind(Y,$fot(join(sk3,complement(sk3)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2997,plain,
( join(sk3,complement(sk3)) != top
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = top ),
inference(resolve,[$cnf( $equal(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),join(sk3,complement(sk3))) )],[refute_0_2995,refute_0_2996]) ).
cnf(refute_0_2998,plain,
join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) = top,
inference(resolve,[$cnf( $equal(join(sk3,complement(sk3)),top) )],[refute_0_2928,refute_0_2997]) ).
cnf(refute_0_2999,plain,
( complement(meet(sk1,meet(complement(sk3),X_483))) != join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))
| join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))) != top
| complement(meet(sk1,meet(complement(sk3),X_483))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(sk1,meet(complement(sk3),X_483))),top) ),[0],$fot(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))))]]) ).
cnf(refute_0_3000,plain,
( complement(meet(sk1,meet(complement(sk3),X_483))) != join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))
| complement(meet(sk1,meet(complement(sk3),X_483))) = top ),
inference(resolve,[$cnf( $equal(join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483))))),top) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
complement(meet(sk1,meet(complement(sk3),X_483))) = top,
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk3),X_483))),join(sk3,meet(complement(sk3),complement(meet(sk1,meet(complement(sk3),X_483)))))) )],[refute_0_2927,refute_0_3000]) ).
cnf(refute_0_3002,plain,
complement(meet(sk1,meet(complement(sk3),X_484))) = top,
inference(subst,[],[refute_0_3001:[bind(X_483,$fot(X_484))]]) ).
cnf(refute_0_3003,plain,
( complement(meet(sk1,meet(complement(sk3),X_484))) != top
| meet(sk1,meet(complement(sk3),X_484)) != complement(complement(meet(sk1,meet(complement(sk3),X_484))))
| meet(sk1,meet(complement(sk3),X_484)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk3),X_484)),complement(complement(meet(sk1,meet(complement(sk3),X_484))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3004,plain,
( meet(sk1,meet(complement(sk3),X_484)) != complement(complement(meet(sk1,meet(complement(sk3),X_484))))
| meet(sk1,meet(complement(sk3),X_484)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(complement(sk3),X_484))),top) )],[refute_0_3002,refute_0_3003]) ).
cnf(refute_0_3005,plain,
meet(sk1,meet(complement(sk3),X_484)) = complement(top),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk3),X_484)),complement(complement(meet(sk1,meet(complement(sk3),X_484))))) )],[refute_0_2837,refute_0_3004]) ).
cnf(refute_0_3006,plain,
( complement(top) != zero
| meet(sk1,meet(complement(sk3),X_484)) != complement(top)
| meet(sk1,meet(complement(sk3),X_484)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(sk3),X_484)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3007,plain,
( meet(sk1,meet(complement(sk3),X_484)) != complement(top)
| meet(sk1,meet(complement(sk3),X_484)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_3006]) ).
cnf(refute_0_3008,plain,
meet(sk1,meet(complement(sk3),X_484)) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk3),X_484)),complement(top)) )],[refute_0_3005,refute_0_3007]) ).
cnf(refute_0_3009,plain,
( join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(meet(sk1,meet(complement(sk3),X_484)),join(meet(complement(sk3),X_484),complement(sk1))))
| meet(sk1,meet(complement(sk3),X_484)) != zero
| join(meet(complement(sk3),X_484),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk3),X_484),complement(sk1)),join(complement(sk1),meet(meet(sk1,meet(complement(sk3),X_484)),join(meet(complement(sk3),X_484),complement(sk1))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_3010,plain,
( join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(meet(sk1,meet(complement(sk3),X_484)),join(meet(complement(sk3),X_484),complement(sk1))))
| join(meet(complement(sk3),X_484),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk3),X_484)),zero) )],[refute_0_3008,refute_0_3009]) ).
cnf(refute_0_3011,plain,
join(meet(complement(sk3),X_484),complement(sk1)) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),X_484),complement(sk1)),join(complement(sk1),meet(meet(sk1,meet(complement(sk3),X_484)),join(meet(complement(sk3),X_484),complement(sk1))))) )],[refute_0_2836,refute_0_3010]) ).
cnf(refute_0_3012,plain,
join(meet(complement(sk3),X_484),complement(sk1)) = join(complement(sk1),meet(complement(sk3),X_484)),
inference(subst,[],[refute_0_2543:[bind(A,$fot(meet(complement(sk3),X_484)))]]) ).
cnf(refute_0_3013,plain,
( join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(complement(sk3),X_484))
| join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| join(complement(sk1),meet(complement(sk3),X_484)) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk3),X_484),complement(sk1)),join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))) ),[0],$fot(join(complement(sk1),meet(complement(sk3),X_484)))]]) ).
cnf(refute_0_3014,plain,
( join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| join(complement(sk1),meet(complement(sk3),X_484)) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),X_484),complement(sk1)),join(complement(sk1),meet(complement(sk3),X_484))) )],[refute_0_3012,refute_0_3013]) ).
cnf(refute_0_3015,plain,
meet(zero,join(meet(complement(sk3),X_484),complement(sk1))) = zero,
inference(subst,[],[refute_0_2575:[bind(B,$fot(join(meet(complement(sk3),X_484),complement(sk1))))]]) ).
cnf(refute_0_3016,plain,
join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),
introduced(tautology,[refl,[$fot(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))))]]) ).
cnf(refute_0_3017,plain,
( join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| meet(zero,join(meet(complement(sk3),X_484),complement(sk1))) != zero
| join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = join(complement(sk1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3018,plain,
( meet(zero,join(meet(complement(sk3),X_484),complement(sk1))) != zero
| join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = join(complement(sk1),zero) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = join(complement(sk1),zero),
inference(resolve,[$cnf( $equal(meet(zero,join(meet(complement(sk3),X_484),complement(sk1))),zero) )],[refute_0_3015,refute_0_3018]) ).
cnf(refute_0_3020,plain,
( join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) != join(complement(sk1),zero)
| join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))))),bind(Y,$fot(join(complement(sk1),zero))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_3021,plain,
( join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),join(complement(sk1),zero)) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),complement(sk1)) )],[refute_0_2553,refute_0_3021]) ).
cnf(refute_0_3023,plain,
( join(complement(sk1),meet(complement(sk3),X_484)) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))) != complement(sk1)
| join(complement(sk1),meet(complement(sk3),X_484)) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(sk1),meet(complement(sk3),X_484)),complement(sk1)) ),[0],$fot(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))))]]) ).
cnf(refute_0_3024,plain,
( join(complement(sk1),meet(complement(sk3),X_484)) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| join(complement(sk1),meet(complement(sk3),X_484)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1)))),complement(sk1)) )],[refute_0_3022,refute_0_3023]) ).
cnf(refute_0_3025,plain,
( join(meet(complement(sk3),X_484),complement(sk1)) != join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))
| join(complement(sk1),meet(complement(sk3),X_484)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(complement(sk3),X_484)),join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))) )],[refute_0_3014,refute_0_3024]) ).
cnf(refute_0_3026,plain,
join(complement(sk1),meet(complement(sk3),X_484)) = complement(sk1),
inference(resolve,[$cnf( $equal(join(meet(complement(sk3),X_484),complement(sk1)),join(complement(sk1),meet(zero,join(meet(complement(sk3),X_484),complement(sk1))))) )],[refute_0_3011,refute_0_3025]) ).
cnf(refute_0_3027,plain,
join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) = complement(sk1),
inference(subst,[],[refute_0_3026:[bind(X_484,$fot(join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))]]) ).
cnf(refute_0_3028,plain,
( join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) != join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))
| join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) != complement(sk1)
| join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),complement(sk1)) ),[0],$fot(join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))))]]) ).
cnf(refute_0_3029,plain,
( join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) != join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))
| join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))),complement(sk1)) )],[refute_0_3027,refute_0_3028]) ).
cnf(refute_0_3030,plain,
join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),join(complement(sk1),meet(complement(sk3),join(sk1,converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))) )],[refute_0_2835,refute_0_3029]) ).
cnf(refute_0_3031,plain,
join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),
introduced(tautology,[refl,[$fot(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))))]]) ).
cnf(refute_0_3032,plain,
( join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) != join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))
| join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) != complement(sk1)
| join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(X_6,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_3033,plain,
( join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))) != complement(sk1)
| join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(X_6,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))))) )],[refute_0_3031,refute_0_3032]) ).
cnf(refute_0_3034,plain,
join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) = join(X_6,complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2))))),complement(sk1)) )],[refute_0_3030,refute_0_3033]) ).
cnf(refute_0_3035,plain,
( join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) != join(X_6,complement(sk1))
| join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) != join(complement(sk1),X_6)
| join(X_6,complement(sk1)) = join(complement(sk1),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),join(complement(sk1),X_6)) ),[0],$fot(join(X_6,complement(sk1)))]]) ).
cnf(refute_0_3036,plain,
( join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))) != join(complement(sk1),X_6)
| join(X_6,complement(sk1)) = join(complement(sk1),X_6) ),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),join(X_6,complement(sk1))) )],[refute_0_3034,refute_0_3035]) ).
cnf(refute_0_3037,plain,
join(X_6,complement(sk1)) = join(complement(sk1),X_6),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(composition(top,sk2)),converse(meet(complement(converse(sk1)),converse(composition(top,sk2)))))),join(complement(sk1),X_6)) )],[refute_0_2759,refute_0_3036]) ).
cnf(refute_0_3038,plain,
( join(X_6,complement(sk1)) != join(complement(sk1),X_6)
| join(complement(sk1),X_6) = join(X_6,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_6,complement(sk1)))),bind(Y,$fot(join(complement(sk1),X_6)))]]) ).
cnf(refute_0_3039,plain,
join(complement(sk1),X_6) = join(X_6,complement(sk1)),
inference(resolve,[$cnf( $equal(join(X_6,complement(sk1)),join(complement(sk1),X_6)) )],[refute_0_3037,refute_0_3038]) ).
cnf(refute_0_3040,plain,
join(complement(sk1),sk3) = join(sk3,complement(sk1)),
inference(subst,[],[refute_0_3039:[bind(X_6,$fot(sk3))]]) ).
cnf(refute_0_3041,plain,
( join(complement(sk1),sk3) != join(sk3,complement(sk1))
| join(sk3,complement(sk1)) != top
| join(complement(sk1),sk3) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),sk3))),bind(Y,$fot(join(sk3,complement(sk1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3042,plain,
( join(sk3,complement(sk1)) != top
| join(complement(sk1),sk3) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),sk3),join(sk3,complement(sk1))) )],[refute_0_3040,refute_0_3041]) ).
cnf(refute_0_3043,plain,
join(complement(sk1),sk3) = top,
inference(resolve,[$cnf( $equal(join(sk3,complement(sk1)),top) )],[refute_0_2604,refute_0_3042]) ).
cnf(refute_0_3044,plain,
( join(complement(sk1),sk3) != join(meet(sk2,sk3),complement(sk1))
| join(complement(sk1),sk3) != top
| top = join(meet(sk2,sk3),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),sk3),join(meet(sk2,sk3),complement(sk1))) ),[0],$fot(top)]]) ).
cnf(refute_0_3045,plain,
( join(complement(sk1),sk3) != join(meet(sk2,sk3),complement(sk1))
| top = join(meet(sk2,sk3),complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),sk3),top) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
join(meet(sk2,sk3),complement(sk1)) = join(complement(sk1),meet(sk2,sk3)),
inference(subst,[],[refute_0_3037:[bind(X_6,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_3047,plain,
( join(meet(sk2,sk3),complement(sk1)) != join(complement(sk1),meet(sk2,sk3))
| top != join(meet(sk2,sk3),complement(sk1))
| top = join(complement(sk1),meet(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(sk2,sk3),complement(sk1))) ),[1],$fot(join(complement(sk1),meet(sk2,sk3)))]]) ).
cnf(refute_0_3048,plain,
( top != join(meet(sk2,sk3),complement(sk1))
| top = join(complement(sk1),meet(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(join(meet(sk2,sk3),complement(sk1)),join(complement(sk1),meet(sk2,sk3))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
( join(complement(sk1),sk3) != join(meet(sk2,sk3),complement(sk1))
| top = join(complement(sk1),meet(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(top,join(meet(sk2,sk3),complement(sk1))) )],[refute_0_3045,refute_0_3048]) ).
cnf(refute_0_3050,plain,
top = join(complement(sk1),meet(sk2,sk3)),
inference(resolve,[$cnf( $equal(join(complement(sk1),sk3),join(meet(sk2,sk3),complement(sk1))) )],[refute_0_2601,refute_0_3049]) ).
cnf(refute_0_3051,plain,
( top != join(complement(sk1),meet(sk2,sk3))
| join(complement(sk1),meet(sk2,sk3)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(sk1),meet(sk2,sk3))))]]) ).
cnf(refute_0_3052,plain,
join(complement(sk1),meet(sk2,sk3)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(sk1),meet(sk2,sk3))) )],[refute_0_3050,refute_0_3051]) ).
cnf(refute_0_3053,plain,
( complement(meet(sk2,sk3)) != meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(join(complement(sk1),meet(sk2,sk3)))))
| join(complement(sk1),meet(sk2,sk3)) != top
| complement(meet(sk2,sk3)) = meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk2,sk3)),meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(join(complement(sk1),meet(sk2,sk3)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_3054,plain,
( complement(meet(sk2,sk3)) != meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(join(complement(sk1),meet(sk2,sk3)))))
| complement(meet(sk2,sk3)) = meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(sk2,sk3)),top) )],[refute_0_3052,refute_0_3053]) ).
cnf(refute_0_3055,plain,
complement(meet(sk2,sk3)) = meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),
inference(resolve,[$cnf( $equal(complement(meet(sk2,sk3)),meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(join(complement(sk1),meet(sk2,sk3)))))) )],[refute_0_365,refute_0_3054]) ).
cnf(refute_0_3056,plain,
complement(join(meet(sk2,sk3),sk1)) = complement(join(sk1,meet(sk2,sk3))),
inference(subst,[],[refute_0_1200:[bind(X_10,$fot(sk1)),bind(X_9,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_3057,plain,
meet(complement(meet(sk2,sk3)),complement(sk1)) = complement(join(meet(sk2,sk3),sk1)),
inference(subst,[],[refute_0_699:[bind(X_412,$fot(sk1)),bind(X_93,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_3058,plain,
( complement(join(meet(sk2,sk3),sk1)) != complement(join(sk1,meet(sk2,sk3)))
| meet(complement(meet(sk2,sk3)),complement(sk1)) != complement(join(meet(sk2,sk3),sk1))
| meet(complement(meet(sk2,sk3)),complement(sk1)) = complement(join(sk1,meet(sk2,sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(meet(sk2,sk3)),complement(sk1)))),bind(Y,$fot(complement(join(meet(sk2,sk3),sk1)))),bind(Z,$fot(complement(join(sk1,meet(sk2,sk3)))))]]) ).
cnf(refute_0_3059,plain,
( complement(join(meet(sk2,sk3),sk1)) != complement(join(sk1,meet(sk2,sk3)))
| meet(complement(meet(sk2,sk3)),complement(sk1)) = complement(join(sk1,meet(sk2,sk3))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk2,sk3)),complement(sk1)),complement(join(meet(sk2,sk3),sk1))) )],[refute_0_3057,refute_0_3058]) ).
cnf(refute_0_3060,plain,
meet(complement(meet(sk2,sk3)),complement(sk1)) = complement(join(sk1,meet(sk2,sk3))),
inference(resolve,[$cnf( $equal(complement(join(meet(sk2,sk3),sk1)),complement(join(sk1,meet(sk2,sk3)))) )],[refute_0_3056,refute_0_3059]) ).
cnf(refute_0_3061,plain,
join(zero,meet(X_93,top)) = meet(X_93,top),
inference(subst,[],[refute_0_335:[bind(X_93,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_3062,plain,
( X_93 != join(zero,meet(X_93,top))
| join(zero,meet(X_93,top)) != meet(X_93,top)
| X_93 = meet(X_93,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,top)) ),[0],$fot(join(zero,meet(X_93,top)))]]) ).
cnf(refute_0_3063,plain,
( X_93 != join(zero,meet(X_93,top))
| X_93 = meet(X_93,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,top)),meet(X_93,top)) )],[refute_0_3061,refute_0_3062]) ).
cnf(refute_0_3064,plain,
X_93 = meet(X_93,top),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,top))) )],[refute_0_209,refute_0_3063]) ).
cnf(refute_0_3065,plain,
( X_93 != meet(X_93,top)
| meet(X_93,top) = X_93 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_93)),bind(Y,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_3066,plain,
meet(X_93,top) = X_93,
inference(resolve,[$cnf( $equal(X_93,meet(X_93,top)) )],[refute_0_3064,refute_0_3065]) ).
cnf(refute_0_3067,plain,
meet(sk1,top) = sk1,
inference(subst,[],[refute_0_3066:[bind(X_93,$fot(sk1))]]) ).
cnf(refute_0_3068,plain,
complement(meet(sk1,top)) = complement(meet(sk1,top)),
introduced(tautology,[refl,[$fot(complement(meet(sk1,top)))]]) ).
cnf(refute_0_3069,plain,
( complement(meet(sk1,top)) != complement(meet(sk1,top))
| meet(sk1,top) != sk1
| complement(meet(sk1,top)) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,top)),complement(meet(sk1,top))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_3070,plain,
( meet(sk1,top) != sk1
| complement(meet(sk1,top)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,top)),complement(meet(sk1,top))) )],[refute_0_3068,refute_0_3069]) ).
cnf(refute_0_3071,plain,
complement(meet(sk1,top)) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,top),sk1) )],[refute_0_3067,refute_0_3070]) ).
cnf(refute_0_3072,plain,
join(complement(sk1),complement(top)) = complement(meet(sk1,top)),
inference(subst,[],[refute_0_454:[bind(A,$fot(sk1)),bind(B,$fot(top))]]) ).
cnf(refute_0_3073,plain,
( complement(meet(sk1,top)) != complement(sk1)
| join(complement(sk1),complement(top)) != complement(meet(sk1,top))
| join(complement(sk1),complement(top)) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),complement(top)))),bind(Y,$fot(complement(meet(sk1,top)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_3074,plain,
( complement(meet(sk1,top)) != complement(sk1)
| join(complement(sk1),complement(top)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(top)),complement(meet(sk1,top))) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
join(complement(sk1),complement(top)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(meet(sk1,top)),complement(sk1)) )],[refute_0_3071,refute_0_3074]) ).
cnf(refute_0_3076,plain,
meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))))]]) ).
cnf(refute_0_3077,plain,
( join(complement(sk1),complement(top)) != complement(sk1)
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) != meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = meet(complement(meet(sk2,sk3)),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_3078,plain,
( join(complement(sk1),complement(top)) != complement(sk1)
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = meet(complement(meet(sk2,sk3)),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))) )],[refute_0_3076,refute_0_3077]) ).
cnf(refute_0_3079,plain,
meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = meet(complement(meet(sk2,sk3)),complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(top)),complement(sk1)) )],[refute_0_3075,refute_0_3078]) ).
cnf(refute_0_3080,plain,
( meet(complement(meet(sk2,sk3)),complement(sk1)) != complement(join(sk1,meet(sk2,sk3)))
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) != meet(complement(meet(sk2,sk3)),complement(sk1))
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = complement(join(sk1,meet(sk2,sk3))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))))),bind(Y,$fot(meet(complement(meet(sk2,sk3)),complement(sk1)))),bind(Z,$fot(complement(join(sk1,meet(sk2,sk3)))))]]) ).
cnf(refute_0_3081,plain,
( meet(complement(meet(sk2,sk3)),complement(sk1)) != complement(join(sk1,meet(sk2,sk3)))
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = complement(join(sk1,meet(sk2,sk3))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),meet(complement(meet(sk2,sk3)),complement(sk1))) )],[refute_0_3079,refute_0_3080]) ).
cnf(refute_0_3082,plain,
meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) = complement(join(sk1,meet(sk2,sk3))),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk2,sk3)),complement(sk1)),complement(join(sk1,meet(sk2,sk3)))) )],[refute_0_3060,refute_0_3081]) ).
cnf(refute_0_3083,plain,
( complement(meet(sk2,sk3)) != meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))
| meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))) != complement(join(sk1,meet(sk2,sk3)))
| complement(meet(sk2,sk3)) = complement(join(sk1,meet(sk2,sk3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(sk2,sk3)),complement(join(sk1,meet(sk2,sk3)))) ),[0],$fot(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))))]]) ).
cnf(refute_0_3084,plain,
( complement(meet(sk2,sk3)) != meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))
| complement(meet(sk2,sk3)) = complement(join(sk1,meet(sk2,sk3))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top))),complement(join(sk1,meet(sk2,sk3)))) )],[refute_0_3082,refute_0_3083]) ).
cnf(refute_0_3085,plain,
complement(meet(sk2,sk3)) = complement(join(sk1,meet(sk2,sk3))),
inference(resolve,[$cnf( $equal(complement(meet(sk2,sk3)),meet(complement(meet(sk2,sk3)),join(complement(sk1),complement(top)))) )],[refute_0_3055,refute_0_3084]) ).
cnf(refute_0_3086,plain,
( complement(meet(sk2,sk3)) != complement(join(sk1,meet(sk2,sk3)))
| complement(join(sk1,meet(sk2,sk3))) = complement(meet(sk2,sk3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(sk2,sk3)))),bind(Y,$fot(complement(join(sk1,meet(sk2,sk3)))))]]) ).
cnf(refute_0_3087,plain,
complement(join(sk1,meet(sk2,sk3))) = complement(meet(sk2,sk3)),
inference(resolve,[$cnf( $equal(complement(meet(sk2,sk3)),complement(join(sk1,meet(sk2,sk3)))) )],[refute_0_3085,refute_0_3086]) ).
cnf(refute_0_3088,plain,
( complement(join(sk1,meet(sk2,sk3))) != complement(meet(sk2,sk3))
| join(sk1,meet(sk2,sk3)) != complement(complement(join(sk1,meet(sk2,sk3))))
| join(sk1,meet(sk2,sk3)) = complement(complement(meet(sk2,sk3))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(sk2,sk3)),complement(complement(join(sk1,meet(sk2,sk3))))) ),[1,0],$fot(complement(meet(sk2,sk3)))]]) ).
cnf(refute_0_3089,plain,
( join(sk1,meet(sk2,sk3)) != complement(complement(join(sk1,meet(sk2,sk3))))
| join(sk1,meet(sk2,sk3)) = complement(complement(meet(sk2,sk3))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,meet(sk2,sk3))),complement(meet(sk2,sk3))) )],[refute_0_3087,refute_0_3088]) ).
cnf(refute_0_3090,plain,
join(sk1,meet(sk2,sk3)) = complement(complement(meet(sk2,sk3))),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk2,sk3)),complement(complement(join(sk1,meet(sk2,sk3))))) )],[refute_0_248,refute_0_3089]) ).
cnf(refute_0_3091,plain,
complement(complement(meet(sk2,sk3))) = meet(sk2,sk3),
inference(subst,[],[refute_0_314:[bind(X_93,$fot(meet(sk2,sk3)))]]) ).
cnf(refute_0_3092,plain,
( complement(complement(meet(sk2,sk3))) != meet(sk2,sk3)
| join(sk1,meet(sk2,sk3)) != complement(complement(meet(sk2,sk3)))
| join(sk1,meet(sk2,sk3)) = meet(sk2,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(sk2,sk3)),complement(complement(meet(sk2,sk3)))) ),[1],$fot(meet(sk2,sk3))]]) ).
cnf(refute_0_3093,plain,
( join(sk1,meet(sk2,sk3)) != complement(complement(meet(sk2,sk3)))
| join(sk1,meet(sk2,sk3)) = meet(sk2,sk3) ),
inference(resolve,[$cnf( $equal(complement(complement(meet(sk2,sk3))),meet(sk2,sk3)) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk2,sk3)),complement(complement(meet(sk2,sk3)))) )],[refute_0_3090,refute_0_3093]) ).
cnf(refute_0_3095,plain,
$false,
inference(resolve,[$cnf( $equal(join(sk1,meet(sk2,sk3)),meet(sk2,sk3)) )],[refute_0_3094,goals_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 08:46:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 238.62/239.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.62/239.04
% 238.62/239.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 238.97/239.42
%------------------------------------------------------------------------------