%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL025-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:43:58 EDT 2022
% Result : Unsatisfiable 71.90s 72.14s
% Output : CNFRefutation 72.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 210
% Number of leaves : 1188
% Syntax : Number of clauses : 5089 (2457 unt; 0 nHn;3502 RR)
% Number of literals : 8892 (8891 equ;3805 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 4699 ( 99 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,one) = one ).
cnf(goals_15,negated_conjecture,
converse(sk1) != sk1 ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( join(A,B) != join(B,A)
| join(B,A) = join(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,B))),bind(Y,$fot(join(B,A)))]]) ).
cnf(refute_0_4,plain,
join(B,A) = join(A,B),
inference(resolve,[$cnf( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_3]) ).
cnf(refute_0_5,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_6,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[0],$fot(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))))]]) ).
cnf(refute_0_7,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))) )],[maddux3_a_kind_of_de_Morgan_3,refute_0_7]) ).
cnf(refute_0_9,plain,
join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_10,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| complement(join(complement(A),complement(B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_11,plain,
complement(join(complement(A),complement(B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_10]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_13,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[1,1],$fot(meet(A,B))]]) ).
cnf(refute_0_14,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_16]) ).
cnf(refute_0_18,plain,
( join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),meet(A,B))
| join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))),bind(Y,$fot(join(complement(join(complement(A),B)),meet(A,B)))),bind(Z,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).
cnf(refute_0_19,plain,
( join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),meet(A,B))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),meet(A,B)),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_9,refute_0_19]) ).
cnf(refute_0_21,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),B)))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(meet(A,B),complement(join(complement(A),B)))) ),[0],$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_22,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
A = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
X_87 = join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(join(complement(X_87),join(complement(X_27),meet(X_87,X_27))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(join(complement(X_27),meet(X_87,X_27))))]]) ).
cnf(refute_0_25,plain,
top = join(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_26),complement(X_27))))]]) ).
cnf(refute_0_26,plain,
meet(X_26,X_27) = complement(join(complement(X_26),complement(X_27))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_26)),bind(B,$fot(X_27))]]) ).
cnf(refute_0_27,plain,
( meet(X_26,X_27) != complement(join(complement(X_26),complement(X_27)))
| complement(join(complement(X_26),complement(X_27))) = meet(X_26,X_27) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_26,X_27))),bind(Y,$fot(complement(join(complement(X_26),complement(X_27)))))]]) ).
cnf(refute_0_28,plain,
complement(join(complement(X_26),complement(X_27))) = meet(X_26,X_27),
inference(resolve,[$cnf( $equal(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| top != join(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))
| top = join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))) ),[1,1],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_30,plain,
( top != join(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))
| top = join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
top = join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_33,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_32]) ).
cnf(refute_0_34,plain,
join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) = join(complement(X_26),join(complement(X_27),meet(X_26,X_27))),
inference(subst,[],[refute_0_33:[bind(A,$fot(complement(X_26))),bind(B,$fot(complement(X_27))),bind(C,$fot(meet(X_26,X_27)))]]) ).
cnf(refute_0_35,plain,
( join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) != join(complement(X_26),join(complement(X_27),meet(X_26,X_27)))
| top != join(join(complement(X_26),complement(X_27)),meet(X_26,X_27))
| top = join(complement(X_26),join(complement(X_27),meet(X_26,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_26),complement(X_27)),meet(X_26,X_27))) ),[1],$fot(join(complement(X_26),join(complement(X_27),meet(X_26,X_27))))]]) ).
cnf(refute_0_36,plain,
( top != join(join(complement(X_26),complement(X_27)),meet(X_26,X_27))
| top = join(complement(X_26),join(complement(X_27),meet(X_26,X_27))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_26),complement(X_27)),meet(X_26,X_27)),join(complement(X_26),join(complement(X_27),meet(X_26,X_27)))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
top = join(complement(X_26),join(complement(X_27),meet(X_26,X_27))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_26),complement(X_27)),meet(X_26,X_27))) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
top = join(complement(X_87),join(complement(X_27),meet(X_87,X_27))),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(X_87))]]) ).
cnf(refute_0_39,plain,
( top != join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))
| join(complement(X_87),join(complement(X_27),meet(X_87,X_27))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))))]]) ).
cnf(refute_0_40,plain,
join(complement(X_87),join(complement(X_27),meet(X_87,X_27))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( X_87 != join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))))
| join(complement(X_87),join(complement(X_27),meet(X_87,X_27))) != top
| X_87 = join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_42,plain,
( X_87 != join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))))
| X_87 = join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),join(complement(X_27),meet(X_87,X_27))),top) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
X_87 = join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(join(complement(X_87),join(complement(X_27),meet(X_87,X_27)))))) )],[refute_0_24,refute_0_42]) ).
cnf(refute_0_44,plain,
zero = meet(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_26),complement(X_27))))]]) ).
cnf(refute_0_45,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| zero != meet(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))
| zero = meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))) ),[1,1],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_46,plain,
( zero != meet(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))
| zero = meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_45]) ).
cnf(refute_0_47,plain,
zero = meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_26),complement(X_27)),complement(join(complement(X_26),complement(X_27))))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_49,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_48]) ).
cnf(refute_0_50,plain,
join(meet(X_26,X_27),complement(meet(X_26,X_27))) = top,
inference(subst,[],[refute_0_49:[bind(A,$fot(meet(X_26,X_27)))]]) ).
cnf(refute_0_51,plain,
complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) = complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))))]]) ).
cnf(refute_0_52,plain,
( complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) != complement(join(meet(X_26,X_27),complement(meet(X_26,X_27))))
| join(meet(X_26,X_27),complement(meet(X_26,X_27))) != top
| complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))),complement(join(meet(X_26,X_27),complement(meet(X_26,X_27))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_53,plain,
( join(meet(X_26,X_27),complement(meet(X_26,X_27))) != top
| complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))),complement(join(meet(X_26,X_27),complement(meet(X_26,X_27))))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),complement(meet(X_26,X_27))),top) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(join(complement(X_26),complement(X_27)),B) = complement(join(complement(join(complement(X_26),complement(X_27))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_26),complement(X_27))))]]) ).
cnf(refute_0_56,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| meet(join(complement(X_26),complement(X_27)),B) != complement(join(complement(join(complement(X_26),complement(X_27))),complement(B)))
| meet(join(complement(X_26),complement(X_27)),B) = complement(join(meet(X_26,X_27),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_26),complement(X_27)),B),complement(join(complement(join(complement(X_26),complement(X_27))),complement(B)))) ),[1,0,0],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_57,plain,
( meet(join(complement(X_26),complement(X_27)),B) != complement(join(complement(join(complement(X_26),complement(X_27))),complement(B)))
| meet(join(complement(X_26),complement(X_27)),B) = complement(join(meet(X_26,X_27),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_56]) ).
cnf(refute_0_58,plain,
meet(join(complement(X_26),complement(X_27)),B) = complement(join(meet(X_26,X_27),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_26),complement(X_27)),B),complement(join(complement(join(complement(X_26),complement(X_27))),complement(B)))) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) = complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))),
inference(subst,[],[refute_0_58:[bind(B,$fot(meet(X_26,X_27)))]]) ).
cnf(refute_0_60,plain,
( complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) != complement(top)
| meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) != complement(join(meet(X_26,X_27),complement(meet(X_26,X_27))))
| meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) = complement(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)))),bind(Y,$fot(complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_61,plain,
( complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))) != complement(top)
| meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)),complement(join(meet(X_26,X_27),complement(meet(X_26,X_27))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_26,X_27),complement(meet(X_26,X_27)))),complement(top)) )],[refute_0_54,refute_0_61]) ).
cnf(refute_0_63,plain,
( meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)) != complement(top)
| zero != meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_64,plain,
( zero != meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27)),complement(top)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_26),complement(X_27)),meet(X_26,X_27))) )],[refute_0_47,refute_0_64]) ).
cnf(refute_0_66,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_67,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) = join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))))]]) ).
cnf(refute_0_69,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) != join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))),join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_70,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))),join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27))))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) = join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_87,join(complement(X_27),meet(X_87,X_27)))))]]) ).
cnf(refute_0_73,plain,
( join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) != join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) != join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))))),bind(Z,$fot(join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))))]]) ).
cnf(refute_0_74,plain,
( join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) != join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)),join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,join(complement(X_27),meet(X_87,X_27)))),join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( X_87 != join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top))
| join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)) != join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| X_87 = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))) ),[0],$fot(join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)))]]) ).
cnf(refute_0_77,plain,
( X_87 != join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top))
| X_87 = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top)),join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
X_87 = join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,join(complement(X_27),meet(X_87,X_27))),complement(top))) )],[refute_0_43,refute_0_77]) ).
cnf(refute_0_79,plain,
join(zero,join(zero,X_51)) = join(join(zero,zero),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(zero)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_80,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_81,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_82,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( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_82]) ).
cnf(refute_0_84,plain,
join(complement(X_23),composition(converse(one),complement(composition(one,X_23)))) = complement(X_23),
inference(subst,[],[refute_0_83:[bind(A,$fot(one)),bind(B,$fot(X_23))]]) ).
cnf(refute_0_85,plain,
converse(composition(converse(A),X_9)) = composition(converse(X_9),converse(converse(A))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_86,plain,
( converse(composition(converse(A),X_9)) != composition(converse(X_9),converse(converse(A)))
| converse(converse(A)) != A
| converse(composition(converse(A),X_9)) = composition(converse(X_9),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_9)),composition(converse(X_9),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_87,plain,
( converse(composition(converse(A),X_9)) != composition(converse(X_9),converse(converse(A)))
| converse(composition(converse(A),X_9)) = composition(converse(X_9),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_86]) ).
cnf(refute_0_88,plain,
converse(composition(converse(A),X_9)) = composition(converse(X_9),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_9)),composition(converse(X_9),converse(converse(A)))) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
converse(composition(converse(X_15),one)) = composition(converse(one),X_15),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_15)),bind(X_9,$fot(one))]]) ).
cnf(refute_0_90,plain,
composition(converse(X_15),one) = converse(X_15),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_15)))]]) ).
cnf(refute_0_91,plain,
( composition(converse(X_15),one) != converse(X_15)
| converse(composition(converse(X_15),one)) != composition(converse(one),X_15)
| converse(converse(X_15)) = composition(converse(one),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_15),one)),composition(converse(one),X_15)) ),[0,0],$fot(converse(X_15))]]) ).
cnf(refute_0_92,plain,
( converse(composition(converse(X_15),one)) != composition(converse(one),X_15)
| converse(converse(X_15)) = composition(converse(one),X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(X_15),one),converse(X_15)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
converse(converse(X_15)) = composition(converse(one),X_15),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_15),one)),composition(converse(one),X_15)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
converse(converse(X_15)) = X_15,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_95,plain,
( converse(converse(X_15)) != X_15
| converse(converse(X_15)) != composition(converse(one),X_15)
| X_15 = composition(converse(one),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_15)),composition(converse(one),X_15)) ),[0],$fot(X_15)]]) ).
cnf(refute_0_96,plain,
( converse(converse(X_15)) != composition(converse(one),X_15)
| X_15 = composition(converse(one),X_15) ),
inference(resolve,[$cnf( $equal(converse(converse(X_15)),X_15) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
X_15 = composition(converse(one),X_15),
inference(resolve,[$cnf( $equal(converse(converse(X_15)),composition(converse(one),X_15)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_99,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_97:[bind(X_15,$fot(one))]]) ).
cnf(refute_0_100,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_101,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_103,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_98,refute_0_103]) ).
cnf(refute_0_105,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_106,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
composition(converse(one),X_15) = composition(converse(one),X_15),
introduced(tautology,[refl,[$fot(composition(converse(one),X_15))]]) ).
cnf(refute_0_108,plain,
( composition(converse(one),X_15) != composition(converse(one),X_15)
| converse(one) != one
| composition(converse(one),X_15) = composition(one,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_15),composition(converse(one),X_15)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_109,plain,
( converse(one) != one
| composition(converse(one),X_15) = composition(one,X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_15),composition(converse(one),X_15)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
composition(converse(one),X_15) = composition(one,X_15),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
( X_15 != composition(converse(one),X_15)
| composition(converse(one),X_15) != composition(one,X_15)
| X_15 = composition(one,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_15,composition(one,X_15)) ),[0],$fot(composition(converse(one),X_15))]]) ).
cnf(refute_0_112,plain,
( X_15 != composition(converse(one),X_15)
| X_15 = composition(one,X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_15),composition(one,X_15)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
X_15 = composition(one,X_15),
inference(resolve,[$cnf( $equal(X_15,composition(converse(one),X_15)) )],[refute_0_97,refute_0_112]) ).
cnf(refute_0_114,plain,
X_23 = composition(one,X_23),
inference(subst,[],[refute_0_113:[bind(X_15,$fot(X_23))]]) ).
cnf(refute_0_115,plain,
( X_23 != composition(one,X_23)
| composition(one,X_23) = X_23 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_23)),bind(Y,$fot(composition(one,X_23)))]]) ).
cnf(refute_0_116,plain,
composition(one,X_23) = X_23,
inference(resolve,[$cnf( $equal(X_23,composition(one,X_23)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( composition(one,X_23) != X_23
| join(complement(X_23),composition(converse(one),complement(composition(one,X_23)))) != complement(X_23)
| join(complement(X_23),composition(converse(one),complement(X_23))) = complement(X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(composition(one,X_23)))),complement(X_23)) ),[0,1,1,0],$fot(X_23)]]) ).
cnf(refute_0_118,plain,
( join(complement(X_23),composition(converse(one),complement(composition(one,X_23)))) != complement(X_23)
| join(complement(X_23),composition(converse(one),complement(X_23))) = complement(X_23) ),
inference(resolve,[$cnf( $equal(composition(one,X_23),X_23) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
join(complement(X_23),composition(converse(one),complement(X_23))) = complement(X_23),
inference(resolve,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(composition(one,X_23)))),complement(X_23)) )],[refute_0_84,refute_0_118]) ).
cnf(refute_0_120,plain,
( X_15 != composition(one,X_15)
| composition(one,X_15) = X_15 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_15)),bind(Y,$fot(composition(one,X_15)))]]) ).
cnf(refute_0_121,plain,
composition(one,X_15) = X_15,
inference(resolve,[$cnf( $equal(X_15,composition(one,X_15)) )],[refute_0_113,refute_0_120]) ).
cnf(refute_0_122,plain,
composition(one,complement(X_23)) = complement(X_23),
inference(subst,[],[refute_0_121:[bind(X_15,$fot(complement(X_23)))]]) ).
cnf(refute_0_123,plain,
composition(converse(one),complement(X_23)) = composition(converse(one),complement(X_23)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_23)))]]) ).
cnf(refute_0_124,plain,
( composition(converse(one),complement(X_23)) != composition(converse(one),complement(X_23))
| converse(one) != one
| composition(converse(one),complement(X_23)) = composition(one,complement(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_23)),composition(converse(one),complement(X_23))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_125,plain,
( converse(one) != one
| composition(converse(one),complement(X_23)) = composition(one,complement(X_23)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_23)),composition(converse(one),complement(X_23))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
composition(converse(one),complement(X_23)) = composition(one,complement(X_23)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_125]) ).
cnf(refute_0_127,plain,
( composition(converse(one),complement(X_23)) != composition(one,complement(X_23))
| composition(one,complement(X_23)) != complement(X_23)
| composition(converse(one),complement(X_23)) = complement(X_23) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(one),complement(X_23)))),bind(Y,$fot(composition(one,complement(X_23)))),bind(Z,$fot(complement(X_23)))]]) ).
cnf(refute_0_128,plain,
( composition(one,complement(X_23)) != complement(X_23)
| composition(converse(one),complement(X_23)) = complement(X_23) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_23)),composition(one,complement(X_23))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
composition(converse(one),complement(X_23)) = complement(X_23),
inference(resolve,[$cnf( $equal(composition(one,complement(X_23)),complement(X_23)) )],[refute_0_122,refute_0_128]) ).
cnf(refute_0_130,plain,
join(complement(X_23),composition(converse(one),complement(X_23))) = join(complement(X_23),composition(converse(one),complement(X_23))),
introduced(tautology,[refl,[$fot(join(complement(X_23),composition(converse(one),complement(X_23))))]]) ).
cnf(refute_0_131,plain,
( composition(converse(one),complement(X_23)) != complement(X_23)
| join(complement(X_23),composition(converse(one),complement(X_23))) != join(complement(X_23),composition(converse(one),complement(X_23)))
| join(complement(X_23),composition(converse(one),complement(X_23))) = join(complement(X_23),complement(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(X_23))),join(complement(X_23),composition(converse(one),complement(X_23)))) ),[1,1],$fot(complement(X_23))]]) ).
cnf(refute_0_132,plain,
( composition(converse(one),complement(X_23)) != complement(X_23)
| join(complement(X_23),composition(converse(one),complement(X_23))) = join(complement(X_23),complement(X_23)) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(X_23))),join(complement(X_23),composition(converse(one),complement(X_23)))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(complement(X_23),composition(converse(one),complement(X_23))) = join(complement(X_23),complement(X_23)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_23)),complement(X_23)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( join(complement(X_23),composition(converse(one),complement(X_23))) != complement(X_23)
| join(complement(X_23),composition(converse(one),complement(X_23))) != join(complement(X_23),complement(X_23))
| join(complement(X_23),complement(X_23)) = complement(X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(X_23))),complement(X_23)) ),[0],$fot(join(complement(X_23),complement(X_23)))]]) ).
cnf(refute_0_135,plain,
( join(complement(X_23),composition(converse(one),complement(X_23))) != complement(X_23)
| join(complement(X_23),complement(X_23)) = complement(X_23) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(X_23))),join(complement(X_23),complement(X_23))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
join(complement(X_23),complement(X_23)) = complement(X_23),
inference(resolve,[$cnf( $equal(join(complement(X_23),composition(converse(one),complement(X_23))),complement(X_23)) )],[refute_0_119,refute_0_135]) ).
cnf(refute_0_137,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_136:[bind(X_23,$fot(top))]]) ).
cnf(refute_0_138,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(zero,complement(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_139,plain,
( join(complement(top),complement(top)) != complement(top)
| join(zero,complement(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_138]) ).
cnf(refute_0_140,plain,
join(zero,complement(top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_137,refute_0_139]) ).
cnf(refute_0_141,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_142,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_143,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_143]) ).
cnf(refute_0_145,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,complement(top)) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_146,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_148,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_147]) ).
cnf(refute_0_149,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_146,refute_0_148]) ).
cnf(refute_0_150,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,complement(top)),complement(top)) )],[refute_0_140,refute_0_149]) ).
cnf(refute_0_151,plain,
( join(zero,join(zero,X_51)) != join(join(zero,zero),X_51)
| join(zero,zero) != zero
| join(zero,join(zero,X_51)) = join(zero,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_51)),join(join(zero,zero),X_51)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_152,plain,
( join(zero,join(zero,X_51)) != join(join(zero,zero),X_51)
| join(zero,join(zero,X_51)) = join(zero,X_51) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
join(zero,join(zero,X_51)) = join(zero,X_51),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_51)),join(join(zero,zero),X_51)) )],[refute_0_79,refute_0_152]) ).
cnf(refute_0_154,plain,
join(zero,join(zero,meet(X_89,top))) = join(zero,meet(X_89,top)),
inference(subst,[],[refute_0_153:[bind(X_51,$fot(meet(X_89,top)))]]) ).
cnf(refute_0_155,plain,
X_87 = join(meet(X_87,top),complement(join(complement(X_87),top))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(top))]]) ).
cnf(refute_0_156,plain,
top = join(join(X_49,X_50),complement(join(X_49,X_50))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(X_49,X_50)))]]) ).
cnf(refute_0_157,plain,
join(X_49,join(X_50,complement(join(X_49,X_50)))) = join(join(X_49,X_50),complement(join(X_49,X_50))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(complement(join(X_49,X_50))))]]) ).
cnf(refute_0_158,plain,
( join(X_49,join(X_50,complement(join(X_49,X_50)))) != join(join(X_49,X_50),complement(join(X_49,X_50)))
| join(join(X_49,X_50),complement(join(X_49,X_50))) = join(X_49,join(X_50,complement(join(X_49,X_50)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,join(X_50,complement(join(X_49,X_50)))))),bind(Y,$fot(join(join(X_49,X_50),complement(join(X_49,X_50)))))]]) ).
cnf(refute_0_159,plain,
join(join(X_49,X_50),complement(join(X_49,X_50))) = join(X_49,join(X_50,complement(join(X_49,X_50)))),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,complement(join(X_49,X_50)))),join(join(X_49,X_50),complement(join(X_49,X_50)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( join(join(X_49,X_50),complement(join(X_49,X_50))) != join(X_49,join(X_50,complement(join(X_49,X_50))))
| top != join(join(X_49,X_50),complement(join(X_49,X_50)))
| top = join(X_49,join(X_50,complement(join(X_49,X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_49,X_50),complement(join(X_49,X_50)))) ),[1],$fot(join(X_49,join(X_50,complement(join(X_49,X_50)))))]]) ).
cnf(refute_0_161,plain,
( top != join(join(X_49,X_50),complement(join(X_49,X_50)))
| top = join(X_49,join(X_50,complement(join(X_49,X_50)))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,X_50),complement(join(X_49,X_50))),join(X_49,join(X_50,complement(join(X_49,X_50))))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
top = join(X_49,join(X_50,complement(join(X_49,X_50)))),
inference(resolve,[$cnf( $equal(top,join(join(X_49,X_50),complement(join(X_49,X_50)))) )],[refute_0_156,refute_0_161]) ).
cnf(refute_0_163,plain,
top = join(X_55,join(top,complement(join(X_55,top)))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(X_55)),bind(X_50,$fot(top))]]) ).
cnf(refute_0_164,plain,
top = join(complement(X_33),join(complement(X_33),meet(X_33,X_33))),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(X_33)),bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_165,plain,
meet(X_27,X_27) = complement(join(complement(X_27),complement(X_27))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_27)),bind(B,$fot(X_27))]]) ).
cnf(refute_0_166,plain,
join(complement(X_27),complement(X_27)) = complement(X_27),
inference(subst,[],[refute_0_136:[bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_167,plain,
( join(complement(X_27),complement(X_27)) != complement(X_27)
| meet(X_27,X_27) != complement(join(complement(X_27),complement(X_27)))
| meet(X_27,X_27) = complement(complement(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_27,X_27),complement(join(complement(X_27),complement(X_27)))) ),[1,0],$fot(complement(X_27))]]) ).
cnf(refute_0_168,plain,
( meet(X_27,X_27) != complement(join(complement(X_27),complement(X_27)))
| meet(X_27,X_27) = complement(complement(X_27)) ),
inference(resolve,[$cnf( $equal(join(complement(X_27),complement(X_27)),complement(X_27)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
meet(X_27,X_27) = complement(complement(X_27)),
inference(resolve,[$cnf( $equal(meet(X_27,X_27),complement(join(complement(X_27),complement(X_27)))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
meet(X_33,X_33) = complement(complement(X_33)),
inference(subst,[],[refute_0_169:[bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_171,plain,
( meet(X_33,X_33) != complement(complement(X_33))
| top != join(complement(X_33),join(complement(X_33),meet(X_33,X_33)))
| top = join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_33),join(complement(X_33),meet(X_33,X_33)))) ),[1,1,1],$fot(complement(complement(X_33)))]]) ).
cnf(refute_0_172,plain,
( top != join(complement(X_33),join(complement(X_33),meet(X_33,X_33)))
| top = join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) ),
inference(resolve,[$cnf( $equal(meet(X_33,X_33),complement(complement(X_33))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
top = join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_33),join(complement(X_33),meet(X_33,X_33)))) )],[refute_0_164,refute_0_172]) ).
cnf(refute_0_174,plain,
join(complement(X_33),top) = join(top,complement(X_33)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(X_33)))]]) ).
cnf(refute_0_175,plain,
join(complement(X_33),complement(complement(X_33))) = top,
inference(subst,[],[refute_0_49:[bind(A,$fot(complement(X_33)))]]) ).
cnf(refute_0_176,plain,
join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),
introduced(tautology,[refl,[$fot(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))))]]) ).
cnf(refute_0_177,plain,
( join(complement(X_33),complement(complement(X_33))) != top
| join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) != join(complement(X_33),join(complement(X_33),complement(complement(X_33))))
| join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(complement(X_33),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),join(complement(X_33),join(complement(X_33),complement(complement(X_33))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_178,plain,
( join(complement(X_33),complement(complement(X_33))) != top
| join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(complement(X_33),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),join(complement(X_33),join(complement(X_33),complement(complement(X_33))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(complement(X_33),top),
inference(resolve,[$cnf( $equal(join(complement(X_33),complement(complement(X_33))),top) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
( join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) != join(complement(X_33),top)
| join(complement(X_33),top) != join(top,complement(X_33))
| join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(top,complement(X_33)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))))),bind(Y,$fot(join(complement(X_33),top))),bind(Z,$fot(join(top,complement(X_33))))]]) ).
cnf(refute_0_181,plain,
( join(complement(X_33),top) != join(top,complement(X_33))
| join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(top,complement(X_33)) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),join(complement(X_33),top)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) = join(top,complement(X_33)),
inference(resolve,[$cnf( $equal(join(complement(X_33),top),join(top,complement(X_33))) )],[refute_0_174,refute_0_181]) ).
cnf(refute_0_183,plain,
( join(complement(X_33),join(complement(X_33),complement(complement(X_33)))) != join(top,complement(X_33))
| top != join(complement(X_33),join(complement(X_33),complement(complement(X_33))))
| top = join(top,complement(X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_33),join(complement(X_33),complement(complement(X_33))))) ),[1],$fot(join(top,complement(X_33)))]]) ).
cnf(refute_0_184,plain,
( top != join(complement(X_33),join(complement(X_33),complement(complement(X_33))))
| top = join(top,complement(X_33)) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),join(complement(X_33),complement(complement(X_33)))),join(top,complement(X_33))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
top = join(top,complement(X_33)),
inference(resolve,[$cnf( $equal(top,join(complement(X_33),join(complement(X_33),complement(complement(X_33))))) )],[refute_0_173,refute_0_184]) ).
cnf(refute_0_186,plain,
top = join(top,complement(join(X_55,top))),
inference(subst,[],[refute_0_185:[bind(X_33,$fot(join(X_55,top)))]]) ).
cnf(refute_0_187,plain,
( top != join(top,complement(join(X_55,top)))
| join(top,complement(join(X_55,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(X_55,top)))))]]) ).
cnf(refute_0_188,plain,
join(top,complement(join(X_55,top))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(join(X_55,top)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( join(top,complement(join(X_55,top))) != top
| top != join(X_55,join(top,complement(join(X_55,top))))
| top = join(X_55,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_55,join(top,complement(join(X_55,top))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_190,plain,
( top != join(X_55,join(top,complement(join(X_55,top))))
| top = join(X_55,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(X_55,top))),top) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
top = join(X_55,top),
inference(resolve,[$cnf( $equal(top,join(X_55,join(top,complement(join(X_55,top))))) )],[refute_0_163,refute_0_190]) ).
cnf(refute_0_192,plain,
top = join(complement(X_87),top),
inference(subst,[],[refute_0_191:[bind(X_55,$fot(complement(X_87)))]]) ).
cnf(refute_0_193,plain,
( top != join(complement(X_87),top)
| join(complement(X_87),top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_87),top)))]]) ).
cnf(refute_0_194,plain,
join(complement(X_87),top) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_87),top)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( X_87 != join(meet(X_87,top),complement(join(complement(X_87),top)))
| join(complement(X_87),top) != top
| X_87 = join(meet(X_87,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,top),complement(join(complement(X_87),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_196,plain,
( X_87 != join(meet(X_87,top),complement(join(complement(X_87),top)))
| X_87 = join(meet(X_87,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),top),top) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
X_87 = join(meet(X_87,top),complement(top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,top),complement(join(complement(X_87),top)))) )],[refute_0_155,refute_0_196]) ).
cnf(refute_0_198,plain,
join(complement(top),meet(X_87,top)) = join(complement(top),meet(X_87,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_87,top)))]]) ).
cnf(refute_0_199,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,top)) != join(complement(top),meet(X_87,top))
| join(complement(top),meet(X_87,top)) = join(zero,meet(X_87,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_87,top)),join(complement(top),meet(X_87,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_200,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,top)) = join(zero,meet(X_87,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,top)),join(complement(top),meet(X_87,top))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
join(complement(top),meet(X_87,top)) = join(zero,meet(X_87,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_200]) ).
cnf(refute_0_202,plain,
join(meet(X_87,top),complement(top)) = join(complement(top),meet(X_87,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_87,top)))]]) ).
cnf(refute_0_203,plain,
( join(complement(top),meet(X_87,top)) != join(zero,meet(X_87,top))
| join(meet(X_87,top),complement(top)) != join(complement(top),meet(X_87,top))
| join(meet(X_87,top),complement(top)) = join(zero,meet(X_87,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_87,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_87,top)))),bind(Z,$fot(join(zero,meet(X_87,top))))]]) ).
cnf(refute_0_204,plain,
( join(complement(top),meet(X_87,top)) != join(zero,meet(X_87,top))
| join(meet(X_87,top),complement(top)) = join(zero,meet(X_87,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,top),complement(top)),join(complement(top),meet(X_87,top))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
join(meet(X_87,top),complement(top)) = join(zero,meet(X_87,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,top)),join(zero,meet(X_87,top))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( X_87 != join(meet(X_87,top),complement(top))
| join(meet(X_87,top),complement(top)) != join(zero,meet(X_87,top))
| X_87 = join(zero,meet(X_87,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(zero,meet(X_87,top))) ),[0],$fot(join(meet(X_87,top),complement(top)))]]) ).
cnf(refute_0_207,plain,
( X_87 != join(meet(X_87,top),complement(top))
| X_87 = join(zero,meet(X_87,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,top),complement(top)),join(zero,meet(X_87,top))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
X_87 = join(zero,meet(X_87,top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,top),complement(top))) )],[refute_0_197,refute_0_207]) ).
cnf(refute_0_209,plain,
X_89 = join(zero,meet(X_89,top)),
inference(subst,[],[refute_0_208:[bind(X_87,$fot(X_89))]]) ).
cnf(refute_0_210,plain,
( X_89 != join(zero,meet(X_89,top))
| join(zero,meet(X_89,top)) = X_89 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_89)),bind(Y,$fot(join(zero,meet(X_89,top))))]]) ).
cnf(refute_0_211,plain,
join(zero,meet(X_89,top)) = X_89,
inference(resolve,[$cnf( $equal(X_89,join(zero,meet(X_89,top))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( join(zero,join(zero,meet(X_89,top))) != join(zero,meet(X_89,top))
| join(zero,meet(X_89,top)) != X_89
| join(zero,X_89) = join(zero,meet(X_89,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_89,top))),join(zero,meet(X_89,top))) ),[0,1],$fot(X_89)]]) ).
cnf(refute_0_213,plain,
( join(zero,join(zero,meet(X_89,top))) != join(zero,meet(X_89,top))
| join(zero,X_89) = join(zero,meet(X_89,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_89,top)),X_89) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
join(zero,X_89) = join(zero,meet(X_89,top)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_89,top))),join(zero,meet(X_89,top))) )],[refute_0_154,refute_0_213]) ).
cnf(refute_0_215,plain,
( join(zero,X_89) != join(zero,meet(X_89,top))
| join(zero,meet(X_89,top)) != X_89
| join(zero,X_89) = X_89 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_89),X_89) ),[0],$fot(join(zero,meet(X_89,top)))]]) ).
cnf(refute_0_216,plain,
( join(zero,X_89) != join(zero,meet(X_89,top))
| join(zero,X_89) = X_89 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_89,top)),X_89) )],[refute_0_211,refute_0_215]) ).
cnf(refute_0_217,plain,
join(zero,X_89) = X_89,
inference(resolve,[$cnf( $equal(join(zero,X_89),join(zero,meet(X_89,top))) )],[refute_0_214,refute_0_216]) ).
cnf(refute_0_218,plain,
join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) = meet(X_87,join(complement(X_27),meet(X_87,X_27))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,join(complement(X_27),meet(X_87,X_27)))))]]) ).
cnf(refute_0_219,plain,
( X_87 != join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) != meet(X_87,join(complement(X_27),meet(X_87,X_27)))
| X_87 = meet(X_87,join(complement(X_27),meet(X_87,X_27))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,join(complement(X_27),meet(X_87,X_27)))) ),[0],$fot(join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))))]]) ).
cnf(refute_0_220,plain,
( X_87 != join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))
| X_87 = meet(X_87,join(complement(X_27),meet(X_87,X_27))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27)))),meet(X_87,join(complement(X_27),meet(X_87,X_27)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
X_87 = meet(X_87,join(complement(X_27),meet(X_87,X_27))),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,join(complement(X_27),meet(X_87,X_27))))) )],[refute_0_78,refute_0_220]) ).
cnf(refute_0_222,plain,
X_108 = meet(X_108,join(complement(X_107),meet(X_108,X_107))),
inference(subst,[],[refute_0_221:[bind(X_27,$fot(X_107)),bind(X_87,$fot(X_108))]]) ).
cnf(refute_0_223,plain,
join(complement(X_27),complement(X_26)) = join(complement(X_26),complement(X_27)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_27))),bind(B,$fot(complement(X_26)))]]) ).
cnf(refute_0_224,plain,
( join(complement(X_27),complement(X_26)) != join(complement(X_26),complement(X_27))
| join(complement(X_26),complement(X_27)) = join(complement(X_27),complement(X_26)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_27),complement(X_26)))),bind(Y,$fot(join(complement(X_26),complement(X_27))))]]) ).
cnf(refute_0_225,plain,
join(complement(X_26),complement(X_27)) = join(complement(X_27),complement(X_26)),
inference(resolve,[$cnf( $equal(join(complement(X_27),complement(X_26)),join(complement(X_26),complement(X_27))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( join(complement(X_26),complement(X_27)) != join(complement(X_27),complement(X_26))
| meet(X_26,X_27) != complement(join(complement(X_26),complement(X_27)))
| meet(X_26,X_27) = complement(join(complement(X_27),complement(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) ),[1,0],$fot(join(complement(X_27),complement(X_26)))]]) ).
cnf(refute_0_227,plain,
( meet(X_26,X_27) != complement(join(complement(X_26),complement(X_27)))
| meet(X_26,X_27) = complement(join(complement(X_27),complement(X_26))) ),
inference(resolve,[$cnf( $equal(join(complement(X_26),complement(X_27)),join(complement(X_27),complement(X_26))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
meet(X_26,X_27) = complement(join(complement(X_27),complement(X_26))),
inference(resolve,[$cnf( $equal(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) )],[refute_0_26,refute_0_227]) ).
cnf(refute_0_229,plain,
complement(join(complement(X_27),complement(X_26))) = meet(X_27,X_26),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_27)),bind(B,$fot(X_26))]]) ).
cnf(refute_0_230,plain,
( complement(join(complement(X_27),complement(X_26))) != meet(X_27,X_26)
| meet(X_26,X_27) != complement(join(complement(X_27),complement(X_26)))
| meet(X_26,X_27) = meet(X_27,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_26,X_27),complement(join(complement(X_27),complement(X_26)))) ),[1],$fot(meet(X_27,X_26))]]) ).
cnf(refute_0_231,plain,
( meet(X_26,X_27) != complement(join(complement(X_27),complement(X_26)))
| meet(X_26,X_27) = meet(X_27,X_26) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_27),complement(X_26))),meet(X_27,X_26)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
meet(X_26,X_27) = meet(X_27,X_26),
inference(resolve,[$cnf( $equal(meet(X_26,X_27),complement(join(complement(X_27),complement(X_26)))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
meet(X_107,X_108) = meet(X_108,X_107),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(X_107)),bind(X_27,$fot(X_108))]]) ).
cnf(refute_0_234,plain,
( meet(X_107,X_108) != meet(X_108,X_107)
| meet(X_108,X_107) = meet(X_107,X_108) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_107,X_108))),bind(Y,$fot(meet(X_108,X_107)))]]) ).
cnf(refute_0_235,plain,
meet(X_108,X_107) = meet(X_107,X_108),
inference(resolve,[$cnf( $equal(meet(X_107,X_108),meet(X_108,X_107)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( X_108 != meet(X_108,join(complement(X_107),meet(X_108,X_107)))
| meet(X_108,X_107) != meet(X_107,X_108)
| X_108 = meet(X_108,join(complement(X_107),meet(X_107,X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(X_108,meet(X_108,join(complement(X_107),meet(X_108,X_107)))) ),[1,1,1],$fot(meet(X_107,X_108))]]) ).
cnf(refute_0_237,plain,
( X_108 != meet(X_108,join(complement(X_107),meet(X_108,X_107)))
| X_108 = meet(X_108,join(complement(X_107),meet(X_107,X_108))) ),
inference(resolve,[$cnf( $equal(meet(X_108,X_107),meet(X_107,X_108)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
X_108 = meet(X_108,join(complement(X_107),meet(X_107,X_108))),
inference(resolve,[$cnf( $equal(X_108,meet(X_108,join(complement(X_107),meet(X_108,X_107)))) )],[refute_0_222,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_238:[bind(X_107,$fot(complement(converse(sk1)))),bind(X_108,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_240,plain,
meet(join(zero,complement(X_31)),B) = complement(join(complement(join(zero,complement(X_31))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(zero,complement(X_31))))]]) ).
cnf(refute_0_241,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_242,plain,
( complement(top) != zero
| meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_243,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
meet(top,X_31) = complement(join(zero,complement(X_31))),
inference(subst,[],[refute_0_244:[bind(B,$fot(X_31))]]) ).
cnf(refute_0_246,plain,
( meet(top,X_31) != complement(join(zero,complement(X_31)))
| complement(join(zero,complement(X_31))) = meet(top,X_31) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_31))),bind(Y,$fot(complement(join(zero,complement(X_31)))))]]) ).
cnf(refute_0_247,plain,
complement(join(zero,complement(X_31))) = meet(top,X_31),
inference(resolve,[$cnf( $equal(meet(top,X_31),complement(join(zero,complement(X_31)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( complement(join(zero,complement(X_31))) != meet(top,X_31)
| meet(join(zero,complement(X_31)),B) != complement(join(complement(join(zero,complement(X_31))),complement(B)))
| meet(join(zero,complement(X_31)),B) = complement(join(meet(top,X_31),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),B),complement(join(complement(join(zero,complement(X_31))),complement(B)))) ),[1,0,0],$fot(meet(top,X_31))]]) ).
cnf(refute_0_249,plain,
( meet(join(zero,complement(X_31)),B) != complement(join(complement(join(zero,complement(X_31))),complement(B)))
| meet(join(zero,complement(X_31)),B) = complement(join(meet(top,X_31),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_31))),meet(top,X_31)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
meet(join(zero,complement(X_31)),B) = complement(join(meet(top,X_31),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),B),complement(join(complement(join(zero,complement(X_31))),complement(B)))) )],[refute_0_240,refute_0_249]) ).
cnf(refute_0_251,plain,
join(zero,complement(X_31)) = complement(X_31),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(X_31)))]]) ).
cnf(refute_0_252,plain,
meet(join(zero,complement(X_31)),B) = meet(join(zero,complement(X_31)),B),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_31)),B))]]) ).
cnf(refute_0_253,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(join(zero,complement(X_31)),B) != meet(join(zero,complement(X_31)),B)
| meet(join(zero,complement(X_31)),B) = meet(complement(X_31),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),B),meet(join(zero,complement(X_31)),B)) ),[1,0],$fot(complement(X_31))]]) ).
cnf(refute_0_254,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(join(zero,complement(X_31)),B) = meet(complement(X_31),B) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),B),meet(join(zero,complement(X_31)),B)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(join(zero,complement(X_31)),B) = meet(complement(X_31),B),
inference(resolve,[$cnf( $equal(join(zero,complement(X_31)),complement(X_31)) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( meet(join(zero,complement(X_31)),B) != complement(join(meet(top,X_31),complement(B)))
| meet(join(zero,complement(X_31)),B) != meet(complement(X_31),B)
| meet(complement(X_31),B) = complement(join(meet(top,X_31),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),B),complement(join(meet(top,X_31),complement(B)))) ),[0],$fot(meet(complement(X_31),B))]]) ).
cnf(refute_0_257,plain,
( meet(join(zero,complement(X_31)),B) != complement(join(meet(top,X_31),complement(B)))
| meet(complement(X_31),B) = complement(join(meet(top,X_31),complement(B))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),B),meet(complement(X_31),B)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(top,X_89) = meet(X_89,top),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(top)),bind(X_27,$fot(X_89))]]) ).
cnf(refute_0_259,plain,
( meet(top,X_89) != meet(X_89,top)
| meet(X_89,top) = meet(top,X_89) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_89))),bind(Y,$fot(meet(X_89,top)))]]) ).
cnf(refute_0_260,plain,
meet(X_89,top) = meet(top,X_89),
inference(resolve,[$cnf( $equal(meet(top,X_89),meet(X_89,top)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( X_89 != join(zero,meet(X_89,top))
| meet(X_89,top) != meet(top,X_89)
| X_89 = join(zero,meet(top,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(X_89,join(zero,meet(X_89,top))) ),[1,1],$fot(meet(top,X_89))]]) ).
cnf(refute_0_262,plain,
( X_89 != join(zero,meet(X_89,top))
| X_89 = join(zero,meet(top,X_89)) ),
inference(resolve,[$cnf( $equal(meet(X_89,top),meet(top,X_89)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
X_89 = join(zero,meet(top,X_89)),
inference(resolve,[$cnf( $equal(X_89,join(zero,meet(X_89,top))) )],[refute_0_209,refute_0_262]) ).
cnf(refute_0_264,plain,
join(zero,meet(top,X_89)) = meet(top,X_89),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(top,X_89)))]]) ).
cnf(refute_0_265,plain,
( X_89 != join(zero,meet(top,X_89))
| join(zero,meet(top,X_89)) != meet(top,X_89)
| X_89 = meet(top,X_89) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_89,meet(top,X_89)) ),[0],$fot(join(zero,meet(top,X_89)))]]) ).
cnf(refute_0_266,plain,
( X_89 != join(zero,meet(top,X_89))
| X_89 = meet(top,X_89) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_89)),meet(top,X_89)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
X_89 = meet(top,X_89),
inference(resolve,[$cnf( $equal(X_89,join(zero,meet(top,X_89))) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
( X_89 != meet(top,X_89)
| meet(top,X_89) = X_89 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_89)),bind(Y,$fot(meet(top,X_89)))]]) ).
cnf(refute_0_269,plain,
meet(top,X_89) = X_89,
inference(resolve,[$cnf( $equal(X_89,meet(top,X_89)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(top,X_31) = X_31,
inference(subst,[],[refute_0_269:[bind(X_89,$fot(X_31))]]) ).
cnf(refute_0_271,plain,
join(meet(top,X_31),complement(B)) = join(meet(top,X_31),complement(B)),
introduced(tautology,[refl,[$fot(join(meet(top,X_31),complement(B)))]]) ).
cnf(refute_0_272,plain,
( join(meet(top,X_31),complement(B)) != join(meet(top,X_31),complement(B))
| meet(top,X_31) != X_31
| join(meet(top,X_31),complement(B)) = join(X_31,complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_31),complement(B)),join(meet(top,X_31),complement(B))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_273,plain,
( meet(top,X_31) != X_31
| join(meet(top,X_31),complement(B)) = join(X_31,complement(B)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(B)),join(meet(top,X_31),complement(B))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(meet(top,X_31),complement(B)) = join(X_31,complement(B)),
inference(resolve,[$cnf( $equal(meet(top,X_31),X_31) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
complement(join(meet(top,X_31),complement(B))) = complement(join(meet(top,X_31),complement(B))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_31),complement(B))))]]) ).
cnf(refute_0_276,plain,
( complement(join(meet(top,X_31),complement(B))) != complement(join(meet(top,X_31),complement(B)))
| join(meet(top,X_31),complement(B)) != join(X_31,complement(B))
| complement(join(meet(top,X_31),complement(B))) = complement(join(X_31,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_31),complement(B))),complement(join(meet(top,X_31),complement(B)))) ),[1,0],$fot(join(X_31,complement(B)))]]) ).
cnf(refute_0_277,plain,
( join(meet(top,X_31),complement(B)) != join(X_31,complement(B))
| complement(join(meet(top,X_31),complement(B))) = complement(join(X_31,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_31),complement(B))),complement(join(meet(top,X_31),complement(B)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
complement(join(meet(top,X_31),complement(B))) = complement(join(X_31,complement(B))),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(B)),join(X_31,complement(B))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( complement(join(meet(top,X_31),complement(B))) != complement(join(X_31,complement(B)))
| meet(complement(X_31),B) != complement(join(meet(top,X_31),complement(B)))
| meet(complement(X_31),B) = complement(join(X_31,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),B),complement(join(meet(top,X_31),complement(B)))) ),[1],$fot(complement(join(X_31,complement(B))))]]) ).
cnf(refute_0_280,plain,
( meet(complement(X_31),B) != complement(join(meet(top,X_31),complement(B)))
| meet(complement(X_31),B) = complement(join(X_31,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_31),complement(B))),complement(join(X_31,complement(B)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( meet(join(zero,complement(X_31)),B) != complement(join(meet(top,X_31),complement(B)))
| meet(complement(X_31),B) = complement(join(X_31,complement(B))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_31),B),complement(join(meet(top,X_31),complement(B)))) )],[refute_0_257,refute_0_280]) ).
cnf(refute_0_282,plain,
meet(complement(X_31),B) = complement(join(X_31,complement(B))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),B),complement(join(meet(top,X_31),complement(B)))) )],[refute_0_250,refute_0_281]) ).
cnf(refute_0_283,plain,
meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = complement(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),bind(X_31,$fot(converse(sk1)))]]) ).
cnf(refute_0_284,plain,
join(converse(A),converse(B)) = join(converse(B),converse(A)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(A))),bind(B,$fot(converse(B)))]]) ).
cnf(refute_0_285,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) != join(converse(B),converse(A))
| converse(join(A,B)) = join(converse(B),converse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,B)),join(converse(B),converse(A))) ),[0],$fot(join(converse(A),converse(B)))]]) ).
cnf(refute_0_286,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| converse(join(A,B)) = join(converse(B),converse(A)) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),join(converse(B),converse(A))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
converse(join(A,B)) = join(converse(B),converse(A)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_286]) ).
cnf(refute_0_288,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_289,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_288]) ).
cnf(refute_0_290,plain,
join(converse(B),converse(A)) = converse(join(B,A)),
inference(subst,[],[refute_0_289:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_291,plain,
( converse(join(A,B)) != join(converse(B),converse(A))
| join(converse(B),converse(A)) != converse(join(B,A))
| converse(join(A,B)) = converse(join(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,B)),converse(join(B,A))) ),[0],$fot(join(converse(B),converse(A)))]]) ).
cnf(refute_0_292,plain,
( converse(join(A,B)) != join(converse(B),converse(A))
| converse(join(A,B)) = converse(join(B,A)) ),
inference(resolve,[$cnf( $equal(join(converse(B),converse(A)),converse(join(B,A))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(B),converse(A))) )],[refute_0_287,refute_0_292]) ).
cnf(refute_0_294,plain,
converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = converse(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))),bind(B,$fot(sk1))]]) ).
cnf(refute_0_295,plain,
converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_296,plain,
converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(join(X_112,converse(complement(converse(join(X_112,B)))))))]]) ).
cnf(refute_0_297,plain,
converse(join(converse(A),X_5)) = join(converse(converse(A)),converse(X_5)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_5))]]) ).
cnf(refute_0_298,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_5)) != join(converse(converse(A)),converse(X_5))
| converse(join(converse(A),X_5)) = join(A,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_5)),join(converse(converse(A)),converse(X_5))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_299,plain,
( converse(join(converse(A),X_5)) != join(converse(converse(A)),converse(X_5))
| converse(join(converse(A),X_5)) = join(A,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_298]) ).
cnf(refute_0_300,plain,
converse(join(converse(A),X_5)) = join(A,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(converse(converse(A)),converse(X_5))) )],[refute_0_297,refute_0_299]) ).
cnf(refute_0_301,plain,
converse(join(converse(X_12),complement(converse(X_12)))) = join(X_12,converse(complement(converse(X_12)))),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_12)),bind(X_5,$fot(complement(converse(X_12))))]]) ).
cnf(refute_0_302,plain,
top = join(converse(X_12),complement(converse(X_12))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_12)))]]) ).
cnf(refute_0_303,plain,
( top != join(converse(X_12),complement(converse(X_12)))
| join(converse(X_12),complement(converse(X_12))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_12),complement(converse(X_12)))))]]) ).
cnf(refute_0_304,plain,
join(converse(X_12),complement(converse(X_12))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_12),complement(converse(X_12)))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( converse(join(converse(X_12),complement(converse(X_12)))) != join(X_12,converse(complement(converse(X_12))))
| join(converse(X_12),complement(converse(X_12))) != top
| converse(top) = join(X_12,converse(complement(converse(X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_12),complement(converse(X_12)))),join(X_12,converse(complement(converse(X_12))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_306,plain,
( converse(join(converse(X_12),complement(converse(X_12)))) != join(X_12,converse(complement(converse(X_12))))
| converse(top) = join(X_12,converse(complement(converse(X_12)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_12),complement(converse(X_12))),top) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
converse(top) = join(X_12,converse(complement(converse(X_12)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_12),complement(converse(X_12)))),join(X_12,converse(complement(converse(X_12))))) )],[refute_0_301,refute_0_306]) ).
cnf(refute_0_308,plain,
converse(top) = join(join(B,A),converse(complement(converse(join(B,A))))),
inference(subst,[],[refute_0_307:[bind(X_12,$fot(join(B,A)))]]) ).
cnf(refute_0_309,plain,
( converse(join(A,B)) != converse(join(B,A))
| converse(join(B,A)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(converse(join(B,A))))]]) ).
cnf(refute_0_310,plain,
converse(join(B,A)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),converse(join(B,A))) )],[refute_0_293,refute_0_309]) ).
cnf(refute_0_311,plain,
( converse(join(B,A)) != converse(join(A,B))
| converse(top) != join(join(B,A),converse(complement(converse(join(B,A)))))
| converse(top) = join(join(B,A),converse(complement(converse(join(A,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(B,A),converse(complement(converse(join(B,A)))))) ),[1,1,0,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_312,plain,
( converse(top) != join(join(B,A),converse(complement(converse(join(B,A)))))
| converse(top) = join(join(B,A),converse(complement(converse(join(A,B))))) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
converse(top) = join(join(B,A),converse(complement(converse(join(A,B))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(B,A),converse(complement(converse(join(B,A)))))) )],[refute_0_308,refute_0_312]) ).
cnf(refute_0_314,plain,
join(join(B,A),converse(complement(converse(join(A,B))))) = join(B,join(A,converse(complement(converse(join(A,B)))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(B)),bind(B,$fot(A)),bind(C,$fot(converse(complement(converse(join(A,B))))))]]) ).
cnf(refute_0_315,plain,
( converse(top) != join(join(B,A),converse(complement(converse(join(A,B)))))
| join(join(B,A),converse(complement(converse(join(A,B))))) != join(B,join(A,converse(complement(converse(join(A,B))))))
| converse(top) = join(B,join(A,converse(complement(converse(join(A,B)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(B,join(A,converse(complement(converse(join(A,B))))))) ),[0],$fot(join(join(B,A),converse(complement(converse(join(A,B))))))]]) ).
cnf(refute_0_316,plain,
( converse(top) != join(join(B,A),converse(complement(converse(join(A,B)))))
| converse(top) = join(B,join(A,converse(complement(converse(join(A,B)))))) ),
inference(resolve,[$cnf( $equal(join(join(B,A),converse(complement(converse(join(A,B))))),join(B,join(A,converse(complement(converse(join(A,B))))))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
converse(top) = join(B,join(A,converse(complement(converse(join(A,B)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(B,A),converse(complement(converse(join(A,B)))))) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
converse(join(complement(converse(zero)),converse(top))) = converse(join(converse(top),complement(converse(zero)))),
inference(subst,[],[refute_0_293:[bind(A,$fot(complement(converse(zero)))),bind(B,$fot(converse(top)))]]) ).
cnf(refute_0_319,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(converse(complement(converse(zero))))),bind(B,$fot(top))]]) ).
cnf(refute_0_320,plain,
join(top,join(zero,X_51)) = join(join(top,zero),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(zero)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_321,plain,
top = join(top,complement(top)),
inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).
cnf(refute_0_322,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_323,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_322]) ).
cnf(refute_0_324,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_321,refute_0_323]) ).
cnf(refute_0_325,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_326,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( join(top,join(zero,X_51)) != join(join(top,zero),X_51)
| join(top,zero) != top
| join(top,join(zero,X_51)) = join(top,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_51)),join(join(top,zero),X_51)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_328,plain,
( join(top,join(zero,X_51)) != join(join(top,zero),X_51)
| join(top,join(zero,X_51)) = join(top,X_51) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
join(top,join(zero,X_51)) = join(top,X_51),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_51)),join(join(top,zero),X_51)) )],[refute_0_320,refute_0_328]) ).
cnf(refute_0_330,plain,
join(top,join(zero,converse(complement(converse(zero))))) = join(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_329:[bind(X_51,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_331,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_307:[bind(X_12,$fot(zero))]]) ).
cnf(refute_0_332,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_333,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(top)
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_335,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
join(top,converse(top)) = join(top,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) )],[refute_0_330,refute_0_335]) ).
cnf(refute_0_337,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(zero))))
| join(top,converse(complement(converse(zero)))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_338,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(zero))))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| join(top,converse(complement(converse(zero)))) != join(top,converse(top))
| converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) ),[1,0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_340,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(zero)))),join(top,converse(top))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_319,refute_0_340]) ).
cnf(refute_0_342,plain,
converse(join(X_4,converse(A))) = join(converse(X_4),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_4)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_343,plain,
( converse(converse(A)) != A
| converse(join(X_4,converse(A))) != join(converse(X_4),converse(converse(A)))
| converse(join(X_4,converse(A))) = join(converse(X_4),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_344,plain,
( converse(join(X_4,converse(A))) != join(converse(X_4),converse(converse(A)))
| converse(join(X_4,converse(A))) = join(converse(X_4),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_343]) ).
cnf(refute_0_345,plain,
converse(join(X_4,converse(A))) = join(converse(X_4),A),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),converse(converse(A)))) )],[refute_0_342,refute_0_344]) ).
cnf(refute_0_346,plain,
converse(join(top,converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))),
inference(subst,[],[refute_0_345:[bind(A,$fot(complement(converse(zero)))),bind(X_4,$fot(top))]]) ).
cnf(refute_0_347,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(complement(converse(zero))),top)))),bind(Y,$fot(converse(join(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(converse(top),complement(converse(zero)))))]]) ).
cnf(refute_0_348,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_319,refute_0_347]) ).
cnf(refute_0_349,plain,
converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),complement(converse(zero)))) )],[refute_0_346,refute_0_348]) ).
cnf(refute_0_350,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| converse(join(converse(complement(converse(zero))),top)) != join(converse(top),complement(converse(zero)))
| join(converse(top),complement(converse(zero))) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) ),[0],$fot(join(converse(top),complement(converse(zero))))]]) ).
cnf(refute_0_351,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = converse(join(top,converse(top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),join(converse(top),complement(converse(zero)))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
join(X_49,join(complement(X_32),join(zero,complement(complement(X_32))))) = join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(complement(X_32))),bind(C,$fot(join(zero,complement(complement(X_32)))))]]) ).
cnf(refute_0_353,plain,
top = join(complement(X_32),join(complement(complement(X_32)),meet(X_32,complement(X_32)))),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(X_32)),bind(X_27,$fot(complement(X_32)))]]) ).
cnf(refute_0_354,plain,
zero = meet(X_32,complement(X_32)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_355,plain,
( zero != meet(X_32,complement(X_32))
| meet(X_32,complement(X_32)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_32,complement(X_32))))]]) ).
cnf(refute_0_356,plain,
meet(X_32,complement(X_32)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_32,complement(X_32))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( meet(X_32,complement(X_32)) != zero
| top != join(complement(X_32),join(complement(complement(X_32)),meet(X_32,complement(X_32))))
| top = join(complement(X_32),join(complement(complement(X_32)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_32),join(complement(complement(X_32)),meet(X_32,complement(X_32))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_358,plain,
( top != join(complement(X_32),join(complement(complement(X_32)),meet(X_32,complement(X_32))))
| top = join(complement(X_32),join(complement(complement(X_32)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_32,complement(X_32)),zero) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
top = join(complement(X_32),join(complement(complement(X_32)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_32),join(complement(complement(X_32)),meet(X_32,complement(X_32))))) )],[refute_0_353,refute_0_358]) ).
cnf(refute_0_360,plain,
join(complement(complement(X_32)),zero) = join(zero,complement(complement(X_32))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_32))))]]) ).
cnf(refute_0_361,plain,
join(complement(X_32),join(complement(complement(X_32)),zero)) = join(complement(X_32),join(complement(complement(X_32)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_32),join(complement(complement(X_32)),zero)))]]) ).
cnf(refute_0_362,plain,
( join(complement(X_32),join(complement(complement(X_32)),zero)) != join(complement(X_32),join(complement(complement(X_32)),zero))
| join(complement(complement(X_32)),zero) != join(zero,complement(complement(X_32)))
| join(complement(X_32),join(complement(complement(X_32)),zero)) = join(complement(X_32),join(zero,complement(complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_32),join(complement(complement(X_32)),zero)),join(complement(X_32),join(complement(complement(X_32)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_32))))]]) ).
cnf(refute_0_363,plain,
( join(complement(complement(X_32)),zero) != join(zero,complement(complement(X_32)))
| join(complement(X_32),join(complement(complement(X_32)),zero)) = join(complement(X_32),join(zero,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(complement(complement(X_32)),zero)),join(complement(X_32),join(complement(complement(X_32)),zero))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
join(complement(X_32),join(complement(complement(X_32)),zero)) = join(complement(X_32),join(zero,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_32)),zero),join(zero,complement(complement(X_32)))) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
( join(complement(X_32),join(complement(complement(X_32)),zero)) != join(complement(X_32),join(zero,complement(complement(X_32))))
| top != join(complement(X_32),join(complement(complement(X_32)),zero))
| top = join(complement(X_32),join(zero,complement(complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_32),join(complement(complement(X_32)),zero))) ),[1],$fot(join(complement(X_32),join(zero,complement(complement(X_32)))))]]) ).
cnf(refute_0_366,plain,
( top != join(complement(X_32),join(complement(complement(X_32)),zero))
| top = join(complement(X_32),join(zero,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(complement(complement(X_32)),zero)),join(complement(X_32),join(zero,complement(complement(X_32))))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
top = join(complement(X_32),join(zero,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_32),join(complement(complement(X_32)),zero))) )],[refute_0_359,refute_0_366]) ).
cnf(refute_0_368,plain,
( top != join(complement(X_32),join(zero,complement(complement(X_32))))
| join(complement(X_32),join(zero,complement(complement(X_32)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_32),join(zero,complement(complement(X_32))))))]]) ).
cnf(refute_0_369,plain,
join(complement(X_32),join(zero,complement(complement(X_32)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_32),join(zero,complement(complement(X_32))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( join(X_49,join(complement(X_32),join(zero,complement(complement(X_32))))) != join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))
| join(complement(X_32),join(zero,complement(complement(X_32)))) != top
| join(X_49,top) = join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(complement(X_32),join(zero,complement(complement(X_32))))),join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_371,plain,
( join(X_49,join(complement(X_32),join(zero,complement(complement(X_32))))) != join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))
| join(X_49,top) = join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(zero,complement(complement(X_32)))),top) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
join(X_49,top) = join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(join(X_49,join(complement(X_32),join(zero,complement(complement(X_32))))),join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))) )],[refute_0_352,refute_0_371]) ).
cnf(refute_0_373,plain,
join(A,join(X_49,X_50)) = join(join(X_49,X_50),A),
inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_49,X_50)))]]) ).
cnf(refute_0_374,plain,
join(X_49,join(X_50,A)) = join(join(X_49,X_50),A),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(A))]]) ).
cnf(refute_0_375,plain,
( join(X_49,join(X_50,A)) != join(join(X_49,X_50),A)
| join(join(X_49,X_50),A) = join(X_49,join(X_50,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,join(X_50,A)))),bind(Y,$fot(join(join(X_49,X_50),A)))]]) ).
cnf(refute_0_376,plain,
join(join(X_49,X_50),A) = join(X_49,join(X_50,A)),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,A)),join(join(X_49,X_50),A)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( join(A,join(X_49,X_50)) != join(join(X_49,X_50),A)
| join(join(X_49,X_50),A) != join(X_49,join(X_50,A))
| join(A,join(X_49,X_50)) = join(X_49,join(X_50,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_49,X_50)),join(X_49,join(X_50,A))) ),[0],$fot(join(join(X_49,X_50),A))]]) ).
cnf(refute_0_378,plain,
( join(A,join(X_49,X_50)) != join(join(X_49,X_50),A)
| join(A,join(X_49,X_50)) = join(X_49,join(X_50,A)) ),
inference(resolve,[$cnf( $equal(join(join(X_49,X_50),A),join(X_49,join(X_50,A))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
join(A,join(X_49,X_50)) = join(X_49,join(X_50,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_49,X_50)),join(join(X_49,X_50),A)) )],[refute_0_373,refute_0_378]) ).
cnf(refute_0_380,plain,
( join(A,join(X_49,X_50)) != join(X_49,join(X_50,A))
| join(X_49,join(X_50,A)) = join(A,join(X_49,X_50)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_49,X_50)))),bind(Y,$fot(join(X_49,join(X_50,A))))]]) ).
cnf(refute_0_381,plain,
join(X_49,join(X_50,A)) = join(A,join(X_49,X_50)),
inference(resolve,[$cnf( $equal(join(A,join(X_49,X_50)),join(X_49,join(X_50,A))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
join(complement(complement(X_32)),join(X_49,complement(X_32))) = join(complement(X_32),join(complement(complement(X_32)),X_49)),
inference(subst,[],[refute_0_381:[bind(A,$fot(complement(X_32))),bind(X_49,$fot(complement(complement(X_32)))),bind(X_50,$fot(X_49))]]) ).
cnf(refute_0_383,plain,
join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) = join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))))]]) ).
cnf(refute_0_384,plain,
( join(complement(complement(X_32)),join(X_49,complement(X_32))) != join(complement(X_32),join(complement(complement(X_32)),X_49))
| join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) != join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))
| join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))) ),[1,1],$fot(join(complement(X_32),join(complement(complement(X_32)),X_49)))]]) ).
cnf(refute_0_385,plain,
( join(complement(complement(X_32)),join(X_49,complement(X_32))) != join(complement(X_32),join(complement(complement(X_32)),X_49))
| join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_32)),join(X_49,complement(X_32))),join(complement(X_32),join(complement(complement(X_32)),X_49))) )],[refute_0_382,refute_0_385]) ).
cnf(refute_0_387,plain,
join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)) = join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),
inference(subst,[],[refute_0_381:[bind(A,$fot(zero)),bind(X_49,$fot(complement(complement(X_32)))),bind(X_50,$fot(join(X_49,complement(X_32))))]]) ).
cnf(refute_0_388,plain,
join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)),
inference(subst,[],[refute_0_381:[bind(A,$fot(complement(complement(X_32)))),bind(X_49,$fot(join(X_49,complement(X_32)))),bind(X_50,$fot(zero))]]) ).
cnf(refute_0_389,plain,
( join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)) != join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) != join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))))),bind(Y,$fot(join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)))),bind(Z,$fot(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))))]]) ).
cnf(refute_0_390,plain,
( join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)) != join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))),join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_32)),join(join(X_49,complement(X_32)),zero)),join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
( join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) != join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))
| join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))))),bind(Y,$fot(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))))),bind(Z,$fot(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))))]]) ).
cnf(refute_0_393,plain,
( join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))),join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32))))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_32)),join(X_49,complement(X_32)))),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) )],[refute_0_386,refute_0_393]) ).
cnf(refute_0_395,plain,
( join(X_49,top) != join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))
| join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(X_49,top) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,top),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) ),[0],$fot(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))))]]) ).
cnf(refute_0_396,plain,
( join(X_49,top) != join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))
| join(X_49,top) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32)))),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
join(X_49,top) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),
inference(resolve,[$cnf( $equal(join(X_49,top),join(join(X_49,complement(X_32)),join(zero,complement(complement(X_32))))) )],[refute_0_372,refute_0_396]) ).
cnf(refute_0_398,plain,
join(top,join(zero,X_49)) = join(top,X_49),
inference(subst,[],[refute_0_329:[bind(X_51,$fot(X_49))]]) ).
cnf(refute_0_399,plain,
join(X_49,join(X_50,X_51)) = join(join(X_49,X_50),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_400,plain,
join(X_50,X_49) = join(X_49,X_50),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_50)),bind(B,$fot(X_49))]]) ).
cnf(refute_0_401,plain,
( join(X_50,X_49) != join(X_49,X_50)
| join(X_49,X_50) = join(X_50,X_49) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_50,X_49))),bind(Y,$fot(join(X_49,X_50)))]]) ).
cnf(refute_0_402,plain,
join(X_49,X_50) = join(X_50,X_49),
inference(resolve,[$cnf( $equal(join(X_50,X_49),join(X_49,X_50)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( join(X_49,X_50) != join(X_50,X_49)
| join(X_49,join(X_50,X_51)) != join(join(X_49,X_50),X_51)
| join(X_49,join(X_50,X_51)) = join(join(X_50,X_49),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(join(X_49,X_50),X_51)) ),[1,0],$fot(join(X_50,X_49))]]) ).
cnf(refute_0_404,plain,
( join(X_49,join(X_50,X_51)) != join(join(X_49,X_50),X_51)
| join(X_49,join(X_50,X_51)) = join(join(X_50,X_49),X_51) ),
inference(resolve,[$cnf( $equal(join(X_49,X_50),join(X_50,X_49)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
join(X_49,join(X_50,X_51)) = join(join(X_50,X_49),X_51),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(join(X_49,X_50),X_51)) )],[refute_0_399,refute_0_404]) ).
cnf(refute_0_406,plain,
join(join(X_50,X_49),X_51) = join(X_50,join(X_49,X_51)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_50)),bind(B,$fot(X_49)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_407,plain,
( join(X_49,join(X_50,X_51)) != join(join(X_50,X_49),X_51)
| join(join(X_50,X_49),X_51) != join(X_50,join(X_49,X_51))
| join(X_49,join(X_50,X_51)) = join(X_50,join(X_49,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,join(X_50,X_51)),join(X_50,join(X_49,X_51))) ),[0],$fot(join(join(X_50,X_49),X_51))]]) ).
cnf(refute_0_408,plain,
( join(X_49,join(X_50,X_51)) != join(join(X_50,X_49),X_51)
| join(X_49,join(X_50,X_51)) = join(X_50,join(X_49,X_51)) ),
inference(resolve,[$cnf( $equal(join(join(X_50,X_49),X_51),join(X_50,join(X_49,X_51))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
join(X_49,join(X_50,X_51)) = join(X_50,join(X_49,X_51)),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(join(X_50,X_49),X_51)) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( join(X_49,join(X_50,X_51)) != join(X_50,join(X_49,X_51))
| join(X_50,join(X_49,X_51)) = join(X_49,join(X_50,X_51)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,join(X_50,X_51)))),bind(Y,$fot(join(X_50,join(X_49,X_51))))]]) ).
cnf(refute_0_411,plain,
join(X_50,join(X_49,X_51)) = join(X_49,join(X_50,X_51)),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(X_50,join(X_49,X_51))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
join(zero,join(top,X_49)) = join(top,join(zero,X_49)),
inference(subst,[],[refute_0_411:[bind(X_49,$fot(top)),bind(X_50,$fot(zero)),bind(X_51,$fot(X_49))]]) ).
cnf(refute_0_413,plain,
( join(top,join(zero,X_49)) != join(top,X_49)
| join(zero,join(top,X_49)) != join(top,join(zero,X_49))
| join(zero,join(top,X_49)) = join(top,X_49) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(top,X_49)))),bind(Y,$fot(join(top,join(zero,X_49)))),bind(Z,$fot(join(top,X_49)))]]) ).
cnf(refute_0_414,plain,
( join(top,join(zero,X_49)) != join(top,X_49)
| join(zero,join(top,X_49)) = join(top,X_49) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_49)),join(top,join(zero,X_49))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
join(zero,join(top,X_49)) = join(top,X_49),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_49)),join(top,X_49)) )],[refute_0_398,refute_0_414]) ).
cnf(refute_0_416,plain,
join(X_49,join(complement(X_49),X_51)) = join(join(X_49,complement(X_49)),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(complement(X_49))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_417,plain,
top = join(X_49,complement(X_49)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_49))]]) ).
cnf(refute_0_418,plain,
( top != join(X_49,complement(X_49))
| join(X_49,complement(X_49)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_49,complement(X_49))))]]) ).
cnf(refute_0_419,plain,
join(X_49,complement(X_49)) = top,
inference(resolve,[$cnf( $equal(top,join(X_49,complement(X_49))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( join(X_49,complement(X_49)) != top
| join(X_49,join(complement(X_49),X_51)) != join(join(X_49,complement(X_49)),X_51)
| join(X_49,join(complement(X_49),X_51)) = join(top,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(complement(X_49),X_51)),join(join(X_49,complement(X_49)),X_51)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_421,plain,
( join(X_49,join(complement(X_49),X_51)) != join(join(X_49,complement(X_49)),X_51)
| join(X_49,join(complement(X_49),X_51)) = join(top,X_51) ),
inference(resolve,[$cnf( $equal(join(X_49,complement(X_49)),top) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
join(X_49,join(complement(X_49),X_51)) = join(top,X_51),
inference(resolve,[$cnf( $equal(join(X_49,join(complement(X_49),X_51)),join(join(X_49,complement(X_49)),X_51)) )],[refute_0_416,refute_0_421]) ).
cnf(refute_0_423,plain,
join(complement(X_32),join(complement(complement(X_32)),X_49)) = join(top,X_49),
inference(subst,[],[refute_0_422:[bind(X_49,$fot(complement(X_32))),bind(X_51,$fot(X_49))]]) ).
cnf(refute_0_424,plain,
join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))))]]) ).
cnf(refute_0_425,plain,
( join(complement(X_32),join(complement(complement(X_32)),X_49)) != join(top,X_49)
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(zero,join(top,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) ),[1,1],$fot(join(top,X_49))]]) ).
cnf(refute_0_426,plain,
( join(complement(X_32),join(complement(complement(X_32)),X_49)) != join(top,X_49)
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(zero,join(top,X_49)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(zero,join(top,X_49)),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(complement(complement(X_32)),X_49)),join(top,X_49)) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
( join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) != join(zero,join(top,X_49))
| join(zero,join(top,X_49)) != join(top,X_49)
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(top,X_49) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))))),bind(Y,$fot(join(zero,join(top,X_49)))),bind(Z,$fot(join(top,X_49)))]]) ).
cnf(refute_0_429,plain,
( join(zero,join(top,X_49)) != join(top,X_49)
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(top,X_49) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),join(zero,join(top,X_49))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) = join(top,X_49),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_49)),join(top,X_49)) )],[refute_0_415,refute_0_429]) ).
cnf(refute_0_431,plain,
( join(X_49,top) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))) != join(top,X_49)
| join(X_49,top) = join(top,X_49) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,top),join(top,X_49)) ),[0],$fot(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))))]]) ).
cnf(refute_0_432,plain,
( join(X_49,top) != join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))
| join(X_49,top) = join(top,X_49) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49))),join(top,X_49)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
join(X_49,top) = join(top,X_49),
inference(resolve,[$cnf( $equal(join(X_49,top),join(zero,join(complement(X_32),join(complement(complement(X_32)),X_49)))) )],[refute_0_397,refute_0_432]) ).
cnf(refute_0_434,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_433:[bind(X_49,$fot(converse(top)))]]) ).
cnf(refute_0_435,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_345:[bind(A,$fot(top)),bind(X_4,$fot(top))]]) ).
cnf(refute_0_436,plain,
( converse(join(top,converse(top))) != join(converse(top),top)
| join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_437,plain,
( join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
converse(join(top,converse(top))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
( converse(join(top,converse(top))) != join(top,converse(top))
| join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) ),[1],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_440,plain,
( join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(top,converse(top))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) )],[refute_0_351,refute_0_440]) ).
cnf(refute_0_442,plain,
join(converse(top),complement(converse(zero))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) )],[refute_0_341,refute_0_441]) ).
cnf(refute_0_443,plain,
join(X_49,join(one,join(one,complement(join(one,one))))) = join(join(X_49,one),join(one,complement(join(one,one)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(one)),bind(C,$fot(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_444,plain,
converse(converse(join(one,join(one,complement(join(one,one)))))) = join(one,join(one,complement(join(one,one)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_445,plain,
converse(top) = join(join(one,one),converse(complement(converse(join(one,one))))),
inference(subst,[],[refute_0_307:[bind(X_12,$fot(join(one,one)))]]) ).
cnf(refute_0_446,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_300:[bind(A,$fot(one))]]) ).
cnf(refute_0_447,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_448,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_447]) ).
cnf(refute_0_449,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_446,refute_0_448]) ).
cnf(refute_0_450,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_449:[bind(X_5,$fot(one))]]) ).
cnf(refute_0_451,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_452,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_451]) ).
cnf(refute_0_453,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_450,refute_0_452]) ).
cnf(refute_0_454,plain,
( converse(join(one,one)) != join(one,one)
| converse(top) != join(join(one,one),converse(complement(converse(join(one,one)))))
| converse(top) = join(join(one,one),converse(complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(converse(join(one,one)))))) ),[1,1,0,0],$fot(join(one,one))]]) ).
cnf(refute_0_455,plain,
( converse(top) != join(join(one,one),converse(complement(converse(join(one,one)))))
| converse(top) = join(join(one,one),converse(complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
converse(top) = join(join(one,one),converse(complement(join(one,one)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(converse(join(one,one)))))) )],[refute_0_445,refute_0_455]) ).
cnf(refute_0_457,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_458,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_449,refute_0_457]) ).
cnf(refute_0_459,plain,
join(one,converse(join(one,complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_460,plain,
join(one,converse(complement(join(one,one)))) = converse(join(one,complement(join(one,one)))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(complement(join(one,one))))]]) ).
cnf(refute_0_461,plain,
join(one,join(one,converse(complement(join(one,one))))) = join(one,join(one,converse(complement(join(one,one))))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(complement(join(one,one))))))]]) ).
cnf(refute_0_462,plain,
( join(one,converse(complement(join(one,one)))) != converse(join(one,complement(join(one,one))))
| join(one,join(one,converse(complement(join(one,one))))) != join(one,join(one,converse(complement(join(one,one)))))
| join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,join(one,converse(complement(join(one,one)))))) ),[1,1],$fot(converse(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_463,plain,
( join(one,converse(complement(join(one,one)))) != converse(join(one,complement(join(one,one))))
| join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,join(one,converse(complement(join(one,one)))))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(join(one,one)))),converse(join(one,complement(join(one,one))))) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( join(one,converse(join(one,complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
| join(one,join(one,converse(complement(join(one,one))))) != join(one,converse(join(one,complement(join(one,one)))))
| join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(one,converse(complement(join(one,one))))))),bind(Y,$fot(join(one,converse(join(one,complement(join(one,one))))))),bind(Z,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).
cnf(refute_0_466,plain,
( join(one,converse(join(one,complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
| join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,converse(join(one,complement(join(one,one)))))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(join(one,one))))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_459,refute_0_466]) ).
cnf(refute_0_468,plain,
join(join(one,one),converse(complement(join(one,one)))) = join(one,join(one,converse(complement(join(one,one))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(converse(complement(join(one,one)))))]]) ).
cnf(refute_0_469,plain,
( join(join(one,one),converse(complement(join(one,one)))) != join(one,join(one,converse(complement(join(one,one)))))
| join(one,join(one,converse(complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
| join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(one,one),converse(complement(join(one,one)))))),bind(Y,$fot(join(one,join(one,converse(complement(join(one,one))))))),bind(Z,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).
cnf(refute_0_470,plain,
( join(one,join(one,converse(complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
| join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(complement(join(one,one)))),join(one,join(one,converse(complement(join(one,one)))))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( converse(top) != join(join(one,one),converse(complement(join(one,one))))
| join(join(one,one),converse(complement(join(one,one)))) != converse(join(one,join(one,complement(join(one,one)))))
| converse(top) = converse(join(one,join(one,complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(join(one,join(one,complement(join(one,one)))))) ),[0],$fot(join(join(one,one),converse(complement(join(one,one)))))]]) ).
cnf(refute_0_473,plain,
( converse(top) != join(join(one,one),converse(complement(join(one,one))))
| converse(top) = converse(join(one,join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(complement(join(one,one)))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
converse(top) = converse(join(one,join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(join(one,one))))) )],[refute_0_456,refute_0_473]) ).
cnf(refute_0_475,plain,
( converse(top) != converse(join(one,join(one,complement(join(one,one)))))
| converse(join(one,join(one,complement(join(one,one))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).
cnf(refute_0_476,plain,
converse(join(one,join(one,complement(join(one,one))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( converse(converse(join(one,join(one,complement(join(one,one)))))) != join(one,join(one,complement(join(one,one))))
| converse(join(one,join(one,complement(join(one,one))))) != converse(top)
| converse(converse(top)) = join(one,join(one,complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(one,complement(join(one,one)))))),join(one,join(one,complement(join(one,one))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_478,plain,
( converse(converse(join(one,join(one,complement(join(one,one)))))) != join(one,join(one,complement(join(one,one))))
| converse(converse(top)) = join(one,join(one,complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(join(one,one))))),converse(top)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
converse(converse(top)) = join(one,join(one,complement(join(one,one)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(one,complement(join(one,one)))))),join(one,join(one,complement(join(one,one))))) )],[refute_0_444,refute_0_478]) ).
cnf(refute_0_480,plain,
converse(converse(top)) = top,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(top))]]) ).
cnf(refute_0_481,plain,
( converse(converse(top)) != join(one,join(one,complement(join(one,one))))
| converse(converse(top)) != top
| top = join(one,join(one,complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(one,join(one,complement(join(one,one))))) ),[0],$fot(top)]]) ).
cnf(refute_0_482,plain,
( converse(converse(top)) != join(one,join(one,complement(join(one,one))))
| top = join(one,join(one,complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
top = join(one,join(one,complement(join(one,one)))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(one,join(one,complement(join(one,one))))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( top != join(one,join(one,complement(join(one,one))))
| join(one,join(one,complement(join(one,one)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_485,plain,
join(one,join(one,complement(join(one,one)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(one,complement(join(one,one))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
( join(X_49,join(one,join(one,complement(join(one,one))))) != join(join(X_49,one),join(one,complement(join(one,one))))
| join(one,join(one,complement(join(one,one)))) != top
| join(X_49,top) = join(join(X_49,one),join(one,complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(one,join(one,complement(join(one,one))))),join(join(X_49,one),join(one,complement(join(one,one))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_487,plain,
( join(X_49,join(one,join(one,complement(join(one,one))))) != join(join(X_49,one),join(one,complement(join(one,one))))
| join(X_49,top) = join(join(X_49,one),join(one,complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(one,one)))),top) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
join(X_49,top) = join(join(X_49,one),join(one,complement(join(one,one)))),
inference(resolve,[$cnf( $equal(join(X_49,join(one,join(one,complement(join(one,one))))),join(join(X_49,one),join(one,complement(join(one,one))))) )],[refute_0_443,refute_0_487]) ).
cnf(refute_0_489,plain,
join(complement(join(one,one)),join(X_49,one)) = join(one,join(complement(join(one,one)),X_49)),
inference(subst,[],[refute_0_381:[bind(A,$fot(one)),bind(X_49,$fot(complement(join(one,one)))),bind(X_50,$fot(X_49))]]) ).
cnf(refute_0_490,plain,
join(one,join(complement(join(one,one)),join(X_49,one))) = join(one,join(complement(join(one,one)),join(X_49,one))),
introduced(tautology,[refl,[$fot(join(one,join(complement(join(one,one)),join(X_49,one))))]]) ).
cnf(refute_0_491,plain,
( join(complement(join(one,one)),join(X_49,one)) != join(one,join(complement(join(one,one)),X_49))
| join(one,join(complement(join(one,one)),join(X_49,one))) != join(one,join(complement(join(one,one)),join(X_49,one)))
| join(one,join(complement(join(one,one)),join(X_49,one))) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_49,one))),join(one,join(complement(join(one,one)),join(X_49,one)))) ),[1,1],$fot(join(one,join(complement(join(one,one)),X_49)))]]) ).
cnf(refute_0_492,plain,
( join(complement(join(one,one)),join(X_49,one)) != join(one,join(complement(join(one,one)),X_49))
| join(one,join(complement(join(one,one)),join(X_49,one))) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_49,one))),join(one,join(complement(join(one,one)),join(X_49,one)))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
join(one,join(complement(join(one,one)),join(X_49,one))) = join(one,join(one,join(complement(join(one,one)),X_49))),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),join(X_49,one)),join(one,join(complement(join(one,one)),X_49))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
join(join(X_49,one),join(one,complement(join(one,one)))) = join(one,join(complement(join(one,one)),join(X_49,one))),
inference(subst,[],[refute_0_379:[bind(A,$fot(join(X_49,one))),bind(X_49,$fot(one)),bind(X_50,$fot(complement(join(one,one))))]]) ).
cnf(refute_0_495,plain,
( join(join(X_49,one),join(one,complement(join(one,one)))) != join(one,join(complement(join(one,one)),join(X_49,one)))
| join(one,join(complement(join(one,one)),join(X_49,one))) != join(one,join(one,join(complement(join(one,one)),X_49)))
| join(join(X_49,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_49,one),join(one,complement(join(one,one)))))),bind(Y,$fot(join(one,join(complement(join(one,one)),join(X_49,one))))),bind(Z,$fot(join(one,join(one,join(complement(join(one,one)),X_49)))))]]) ).
cnf(refute_0_496,plain,
( join(one,join(complement(join(one,one)),join(X_49,one))) != join(one,join(one,join(complement(join(one,one)),X_49)))
| join(join(X_49,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,one),join(one,complement(join(one,one)))),join(one,join(complement(join(one,one)),join(X_49,one)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(join(X_49,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_49))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_49,one))),join(one,join(one,join(complement(join(one,one)),X_49)))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
( join(X_49,top) != join(join(X_49,one),join(one,complement(join(one,one))))
| join(join(X_49,one),join(one,complement(join(one,one)))) != join(one,join(one,join(complement(join(one,one)),X_49)))
| join(X_49,top) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,top),join(one,join(one,join(complement(join(one,one)),X_49)))) ),[0],$fot(join(join(X_49,one),join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_499,plain,
( join(X_49,top) != join(join(X_49,one),join(one,complement(join(one,one))))
| join(X_49,top) = join(one,join(one,join(complement(join(one,one)),X_49))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,one),join(one,complement(join(one,one)))),join(one,join(one,join(complement(join(one,one)),X_49)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
join(X_49,top) = join(one,join(one,join(complement(join(one,one)),X_49))),
inference(resolve,[$cnf( $equal(join(X_49,top),join(join(X_49,one),join(one,complement(join(one,one))))) )],[refute_0_488,refute_0_499]) ).
cnf(refute_0_501,plain,
( top != join(X_55,top)
| join(X_55,top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_55,top)))]]) ).
cnf(refute_0_502,plain,
join(X_55,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_55,top)) )],[refute_0_191,refute_0_501]) ).
cnf(refute_0_503,plain,
join(X_49,top) = top,
inference(subst,[],[refute_0_502:[bind(X_55,$fot(X_49))]]) ).
cnf(refute_0_504,plain,
( join(X_49,top) != join(one,join(one,join(complement(join(one,one)),X_49)))
| join(X_49,top) != top
| top = join(one,join(one,join(complement(join(one,one)),X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,top),join(one,join(one,join(complement(join(one,one)),X_49)))) ),[0],$fot(top)]]) ).
cnf(refute_0_505,plain,
( join(X_49,top) != join(one,join(one,join(complement(join(one,one)),X_49)))
| top = join(one,join(one,join(complement(join(one,one)),X_49))) ),
inference(resolve,[$cnf( $equal(join(X_49,top),top) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(join(A,join(X_56,complement(join(A,X_56)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(join(X_56,complement(join(A,X_56)))))]]) ).
cnf(refute_0_507,plain,
top = join(A,join(X_56,complement(join(A,X_56)))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(A)),bind(X_50,$fot(X_56))]]) ).
cnf(refute_0_508,plain,
( top != join(A,join(X_56,complement(join(A,X_56))))
| join(A,join(X_56,complement(join(A,X_56)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,join(X_56,complement(join(A,X_56))))))]]) ).
cnf(refute_0_509,plain,
join(A,join(X_56,complement(join(A,X_56)))) = top,
inference(resolve,[$cnf( $equal(top,join(A,join(X_56,complement(join(A,X_56))))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
( join(A,join(X_56,complement(join(A,X_56)))) != top
| join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(join(A,join(X_56,complement(join(A,X_56)))),C)
| join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(join(A,join(X_56,complement(join(A,X_56)))),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_511,plain,
( join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(join(A,join(X_56,complement(join(A,X_56)))),C)
| join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(X_56,complement(join(A,X_56)))),top) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(join(A,join(X_56,complement(join(A,X_56)))),C)) )],[refute_0_506,refute_0_511]) ).
cnf(refute_0_513,plain,
join(join(X_56,complement(join(A,X_56))),C) = join(X_56,join(complement(join(A,X_56)),C)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_56)),bind(B,$fot(complement(join(A,X_56))))]]) ).
cnf(refute_0_514,plain,
join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(A,join(join(X_56,complement(join(A,X_56))),C)),
introduced(tautology,[refl,[$fot(join(A,join(join(X_56,complement(join(A,X_56))),C)))]]) ).
cnf(refute_0_515,plain,
( join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(A,join(join(X_56,complement(join(A,X_56))),C))
| join(join(X_56,complement(join(A,X_56))),C) != join(X_56,join(complement(join(A,X_56)),C))
| join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(A,join(X_56,join(complement(join(A,X_56)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(A,join(join(X_56,complement(join(A,X_56))),C))) ),[1,1],$fot(join(X_56,join(complement(join(A,X_56)),C)))]]) ).
cnf(refute_0_516,plain,
( join(join(X_56,complement(join(A,X_56))),C) != join(X_56,join(complement(join(A,X_56)),C))
| join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(A,join(X_56,join(complement(join(A,X_56)),C))) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(A,join(join(X_56,complement(join(A,X_56))),C))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
join(A,join(join(X_56,complement(join(A,X_56))),C)) = join(A,join(X_56,join(complement(join(A,X_56)),C))),
inference(resolve,[$cnf( $equal(join(join(X_56,complement(join(A,X_56))),C),join(X_56,join(complement(join(A,X_56)),C))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
( join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(A,join(X_56,join(complement(join(A,X_56)),C)))
| join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(top,C)
| join(A,join(X_56,join(complement(join(A,X_56)),C))) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(top,C)) ),[0],$fot(join(A,join(X_56,join(complement(join(A,X_56)),C))))]]) ).
cnf(refute_0_519,plain,
( join(A,join(join(X_56,complement(join(A,X_56))),C)) != join(top,C)
| join(A,join(X_56,join(complement(join(A,X_56)),C))) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(A,join(X_56,join(complement(join(A,X_56)),C)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(A,join(X_56,join(complement(join(A,X_56)),C))) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_56,complement(join(A,X_56))),C)),join(top,C)) )],[refute_0_512,refute_0_519]) ).
cnf(refute_0_521,plain,
join(one,join(one,join(complement(join(one,one)),X_49))) = join(top,X_49),
inference(subst,[],[refute_0_520:[bind(A,$fot(one)),bind(C,$fot(X_49)),bind(X_56,$fot(one))]]) ).
cnf(refute_0_522,plain,
( join(one,join(one,join(complement(join(one,one)),X_49))) != join(top,X_49)
| top != join(one,join(one,join(complement(join(one,one)),X_49)))
| top = join(top,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(one,join(complement(join(one,one)),X_49)))) ),[1],$fot(join(top,X_49))]]) ).
cnf(refute_0_523,plain,
( top != join(one,join(one,join(complement(join(one,one)),X_49)))
| top = join(top,X_49) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,one)),X_49))),join(top,X_49)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
( join(X_49,top) != join(one,join(one,join(complement(join(one,one)),X_49)))
| top = join(top,X_49) ),
inference(resolve,[$cnf( $equal(top,join(one,join(one,join(complement(join(one,one)),X_49)))) )],[refute_0_505,refute_0_523]) ).
cnf(refute_0_525,plain,
top = join(top,X_49),
inference(resolve,[$cnf( $equal(join(X_49,top),join(one,join(one,join(complement(join(one,one)),X_49)))) )],[refute_0_500,refute_0_524]) ).
cnf(refute_0_526,plain,
( top != join(top,X_49)
| join(top,X_49) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_49)))]]) ).
cnf(refute_0_527,plain,
join(top,X_49) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_49)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
join(top,converse(top)) = top,
inference(subst,[],[refute_0_527:[bind(X_49,$fot(converse(top)))]]) ).
cnf(refute_0_529,plain,
( join(converse(top),complement(converse(zero))) != join(top,converse(top))
| join(top,converse(top)) != top
| join(converse(top),complement(converse(zero))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(top),complement(converse(zero))),top) ),[0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_530,plain,
( join(converse(top),complement(converse(zero))) != join(top,converse(top))
| join(converse(top),complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),top) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(converse(top),complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) )],[refute_0_442,refute_0_530]) ).
cnf(refute_0_532,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(join(converse(top),complement(converse(zero))))
| join(converse(top),complement(converse(zero))) != top
| converse(join(complement(converse(zero)),converse(top))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(join(converse(top),complement(converse(zero))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_533,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(join(converse(top),complement(converse(zero))))
| converse(join(complement(converse(zero)),converse(top))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),top) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
converse(join(complement(converse(zero)),converse(top))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(join(converse(top),complement(converse(zero))))) )],[refute_0_318,refute_0_533]) ).
cnf(refute_0_535,plain,
join(top,converse(complement(converse(zero)))) = top,
inference(subst,[],[refute_0_527:[bind(X_49,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_536,plain,
converse(join(converse(top),complement(converse(zero)))) = join(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_300:[bind(A,$fot(top)),bind(X_5,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_537,plain,
( converse(join(converse(top),complement(converse(zero)))) != join(top,converse(complement(converse(zero))))
| join(top,converse(complement(converse(zero)))) != top
| converse(join(converse(top),complement(converse(zero)))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(top),complement(converse(zero)))))),bind(Y,$fot(join(top,converse(complement(converse(zero)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_538,plain,
( join(top,converse(complement(converse(zero)))) != top
| converse(join(converse(top),complement(converse(zero)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),complement(converse(zero)))),join(top,converse(complement(converse(zero))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
converse(join(converse(top),complement(converse(zero)))) = top,
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(zero)))),top) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(join(converse(top),complement(converse(zero))))
| converse(join(converse(top),complement(converse(zero)))) != top
| converse(join(complement(converse(zero)),converse(top))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(converse(zero)),converse(top))))),bind(Y,$fot(converse(join(converse(top),complement(converse(zero)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_541,plain,
( converse(join(converse(top),complement(converse(zero)))) != top
| converse(join(complement(converse(zero)),converse(top))) = top ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(join(converse(top),complement(converse(zero))))) )],[refute_0_318,refute_0_540]) ).
cnf(refute_0_542,plain,
converse(join(complement(converse(zero)),converse(top))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),complement(converse(zero)))),top) )],[refute_0_539,refute_0_541]) ).
cnf(refute_0_543,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(top)
| converse(join(complement(converse(zero)),converse(top))) != top
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(top)) ),[0],$fot(top)]]) ).
cnf(refute_0_544,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(top)
| top = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),top) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(top)) )],[refute_0_534,refute_0_544]) ).
cnf(refute_0_546,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_547,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( converse(top) != join(B,join(A,converse(complement(converse(join(A,B))))))
| converse(top) != top
| top = join(B,join(A,converse(complement(converse(join(A,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(B,join(A,converse(complement(converse(join(A,B))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_549,plain,
( converse(top) != join(B,join(A,converse(complement(converse(join(A,B))))))
| top = join(B,join(A,converse(complement(converse(join(A,B)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
top = join(B,join(A,converse(complement(converse(join(A,B)))))),
inference(resolve,[$cnf( $equal(converse(top),join(B,join(A,converse(complement(converse(join(A,B))))))) )],[refute_0_317,refute_0_549]) ).
cnf(refute_0_551,plain,
top = join(B,join(X_112,converse(complement(converse(join(X_112,B)))))),
inference(subst,[],[refute_0_550:[bind(A,$fot(X_112))]]) ).
cnf(refute_0_552,plain,
( top != join(B,join(X_112,converse(complement(converse(join(X_112,B))))))
| join(B,join(X_112,converse(complement(converse(join(X_112,B)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))))]]) ).
cnf(refute_0_553,plain,
join(B,join(X_112,converse(complement(converse(join(X_112,B)))))) = top,
inference(resolve,[$cnf( $equal(top,join(B,join(X_112,converse(complement(converse(join(X_112,B))))))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
( converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))
| join(B,join(X_112,converse(complement(converse(join(X_112,B)))))) != top
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_555,plain,
( converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))),top) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))) )],[refute_0_296,refute_0_555]) ).
cnf(refute_0_557,plain,
converse(join(join(X_49,X_50),converse(A))) = join(converse(join(X_49,X_50)),A),
inference(subst,[],[refute_0_345:[bind(X_4,$fot(join(X_49,X_50)))]]) ).
cnf(refute_0_558,plain,
join(X_49,join(X_50,converse(A))) = join(join(X_49,X_50),converse(A)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_559,plain,
( join(X_49,join(X_50,converse(A))) != join(join(X_49,X_50),converse(A))
| join(join(X_49,X_50),converse(A)) = join(X_49,join(X_50,converse(A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,join(X_50,converse(A))))),bind(Y,$fot(join(join(X_49,X_50),converse(A))))]]) ).
cnf(refute_0_560,plain,
join(join(X_49,X_50),converse(A)) = join(X_49,join(X_50,converse(A))),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,converse(A))),join(join(X_49,X_50),converse(A))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
( converse(join(join(X_49,X_50),converse(A))) != join(converse(join(X_49,X_50)),A)
| join(join(X_49,X_50),converse(A)) != join(X_49,join(X_50,converse(A)))
| converse(join(X_49,join(X_50,converse(A)))) = join(converse(join(X_49,X_50)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_49,X_50),converse(A))),join(converse(join(X_49,X_50)),A)) ),[0,0],$fot(join(X_49,join(X_50,converse(A))))]]) ).
cnf(refute_0_562,plain,
( converse(join(join(X_49,X_50),converse(A))) != join(converse(join(X_49,X_50)),A)
| converse(join(X_49,join(X_50,converse(A)))) = join(converse(join(X_49,X_50)),A) ),
inference(resolve,[$cnf( $equal(join(join(X_49,X_50),converse(A)),join(X_49,join(X_50,converse(A)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
converse(join(X_49,join(X_50,converse(A)))) = join(converse(join(X_49,X_50)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_49,X_50),converse(A))),join(converse(join(X_49,X_50)),A)) )],[refute_0_557,refute_0_562]) ).
cnf(refute_0_564,plain,
converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))) = join(converse(join(B,X_112)),complement(converse(join(X_112,B)))),
inference(subst,[],[refute_0_563:[bind(A,$fot(complement(converse(join(X_112,B))))),bind(X_49,$fot(B)),bind(X_50,$fot(X_112))]]) ).
cnf(refute_0_565,plain,
( converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))) != join(converse(join(B,X_112)),complement(converse(join(X_112,B))))
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)))),bind(Y,$fot(converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))))),bind(Z,$fot(join(converse(join(B,X_112)),complement(converse(join(X_112,B))))))]]) ).
cnf(refute_0_566,plain,
( converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))) != join(converse(join(B,X_112)),complement(converse(join(X_112,B))))
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),converse(join(B,join(X_112,converse(complement(converse(join(X_112,B)))))))) )],[refute_0_296,refute_0_565]) ).
cnf(refute_0_567,plain,
converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) = join(converse(join(B,X_112)),complement(converse(join(X_112,B)))),
inference(resolve,[$cnf( $equal(converse(join(B,join(X_112,converse(complement(converse(join(X_112,B))))))),join(converse(join(B,X_112)),complement(converse(join(X_112,B))))) )],[refute_0_564,refute_0_566]) ).
cnf(refute_0_568,plain,
( converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(top)
| converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != join(converse(join(B,X_112)),complement(converse(join(X_112,B))))
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),converse(top)) ),[0],$fot(join(converse(join(B,X_112)),complement(converse(join(X_112,B)))))]]) ).
cnf(refute_0_569,plain,
( converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(top)
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),join(converse(join(B,X_112)),complement(converse(join(X_112,B))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( converse(top) != top
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) != converse(top)
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(B,X_112)),complement(converse(join(X_112,B)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_571,plain,
( join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) != converse(top)
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_570]) ).
cnf(refute_0_572,plain,
( converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)) != converse(top)
| join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(B,X_112)),complement(converse(join(X_112,B)))),converse(top)) )],[refute_0_569,refute_0_571]) ).
cnf(refute_0_573,plain,
join(converse(join(B,X_112)),complement(converse(join(X_112,B)))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(X_112,converse(complement(converse(join(X_112,B))))),B)),converse(top)) )],[refute_0_556,refute_0_572]) ).
cnf(refute_0_574,plain,
join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) = top,
inference(subst,[],[refute_0_573:[bind(B,$fot(complement(converse(meet(X_439,X_440))))),bind(X_112,$fot(converse(X_439)))]]) ).
cnf(refute_0_575,plain,
converse(join(join(X_10,X_11),B)) = join(converse(join(X_10,X_11)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(join(X_10,X_11)))]]) ).
cnf(refute_0_576,plain,
converse(join(X_10,X_11)) = converse(join(X_11,X_10)),
inference(subst,[],[refute_0_293:[bind(A,$fot(X_10)),bind(B,$fot(X_11))]]) ).
cnf(refute_0_577,plain,
( converse(join(X_10,X_11)) != converse(join(X_11,X_10))
| converse(join(join(X_10,X_11),B)) != join(converse(join(X_10,X_11)),converse(B))
| converse(join(join(X_10,X_11),B)) = join(converse(join(X_11,X_10)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),B)),join(converse(join(X_10,X_11)),converse(B))) ),[1,0],$fot(converse(join(X_11,X_10)))]]) ).
cnf(refute_0_578,plain,
( converse(join(join(X_10,X_11),B)) != join(converse(join(X_10,X_11)),converse(B))
| converse(join(join(X_10,X_11),B)) = join(converse(join(X_11,X_10)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,X_11)),converse(join(X_11,X_10))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
converse(join(join(X_10,X_11),B)) = join(converse(join(X_11,X_10)),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),B)),join(converse(join(X_10,X_11)),converse(B))) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
join(join(X_10,X_11),B) = join(X_10,join(X_11,B)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(B))]]) ).
cnf(refute_0_581,plain,
converse(join(join(X_10,X_11),B)) = converse(join(join(X_10,X_11),B)),
introduced(tautology,[refl,[$fot(converse(join(join(X_10,X_11),B)))]]) ).
cnf(refute_0_582,plain,
( converse(join(join(X_10,X_11),B)) != converse(join(join(X_10,X_11),B))
| join(join(X_10,X_11),B) != join(X_10,join(X_11,B))
| converse(join(join(X_10,X_11),B)) = converse(join(X_10,join(X_11,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),B)),converse(join(join(X_10,X_11),B))) ),[1,0],$fot(join(X_10,join(X_11,B)))]]) ).
cnf(refute_0_583,plain,
( join(join(X_10,X_11),B) != join(X_10,join(X_11,B))
| converse(join(join(X_10,X_11),B)) = converse(join(X_10,join(X_11,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),B)),converse(join(join(X_10,X_11),B))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
converse(join(join(X_10,X_11),B)) = converse(join(X_10,join(X_11,B))),
inference(resolve,[$cnf( $equal(join(join(X_10,X_11),B),join(X_10,join(X_11,B))) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
( converse(join(join(X_10,X_11),B)) != converse(join(X_10,join(X_11,B)))
| converse(join(join(X_10,X_11),B)) != join(converse(join(X_11,X_10)),converse(B))
| converse(join(X_10,join(X_11,B))) = join(converse(join(X_11,X_10)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),B)),join(converse(join(X_11,X_10)),converse(B))) ),[0],$fot(converse(join(X_10,join(X_11,B))))]]) ).
cnf(refute_0_586,plain,
( converse(join(join(X_10,X_11),B)) != join(converse(join(X_11,X_10)),converse(B))
| converse(join(X_10,join(X_11,B))) = join(converse(join(X_11,X_10)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),B)),converse(join(X_10,join(X_11,B)))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
join(join(X_11,X_10),B) = join(X_11,join(X_10,B)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_11)),bind(B,$fot(X_10)),bind(C,$fot(B))]]) ).
cnf(refute_0_588,plain,
converse(join(join(X_11,X_10),B)) = converse(join(join(X_11,X_10),B)),
introduced(tautology,[refl,[$fot(converse(join(join(X_11,X_10),B)))]]) ).
cnf(refute_0_589,plain,
( converse(join(join(X_11,X_10),B)) != converse(join(join(X_11,X_10),B))
| join(join(X_11,X_10),B) != join(X_11,join(X_10,B))
| converse(join(join(X_11,X_10),B)) = converse(join(X_11,join(X_10,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_11,X_10),B)),converse(join(join(X_11,X_10),B))) ),[1,0],$fot(join(X_11,join(X_10,B)))]]) ).
cnf(refute_0_590,plain,
( join(join(X_11,X_10),B) != join(X_11,join(X_10,B))
| converse(join(join(X_11,X_10),B)) = converse(join(X_11,join(X_10,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_11,X_10),B)),converse(join(join(X_11,X_10),B))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
converse(join(join(X_11,X_10),B)) = converse(join(X_11,join(X_10,B))),
inference(resolve,[$cnf( $equal(join(join(X_11,X_10),B),join(X_11,join(X_10,B))) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
join(converse(join(X_11,X_10)),converse(B)) = converse(join(join(X_11,X_10),B)),
inference(subst,[],[refute_0_289:[bind(A,$fot(join(X_11,X_10)))]]) ).
cnf(refute_0_593,plain,
( converse(join(join(X_11,X_10),B)) != converse(join(X_11,join(X_10,B)))
| join(converse(join(X_11,X_10)),converse(B)) != converse(join(join(X_11,X_10),B))
| join(converse(join(X_11,X_10)),converse(B)) = converse(join(X_11,join(X_10,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(X_11,X_10)),converse(B)))),bind(Y,$fot(converse(join(join(X_11,X_10),B)))),bind(Z,$fot(converse(join(X_11,join(X_10,B)))))]]) ).
cnf(refute_0_594,plain,
( converse(join(join(X_11,X_10),B)) != converse(join(X_11,join(X_10,B)))
| join(converse(join(X_11,X_10)),converse(B)) = converse(join(X_11,join(X_10,B))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_10)),converse(B)),converse(join(join(X_11,X_10),B))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
join(converse(join(X_11,X_10)),converse(B)) = converse(join(X_11,join(X_10,B))),
inference(resolve,[$cnf( $equal(converse(join(join(X_11,X_10),B)),converse(join(X_11,join(X_10,B)))) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
( converse(join(X_10,join(X_11,B))) != join(converse(join(X_11,X_10)),converse(B))
| join(converse(join(X_11,X_10)),converse(B)) != converse(join(X_11,join(X_10,B)))
| converse(join(X_10,join(X_11,B))) = converse(join(X_11,join(X_10,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_10,join(X_11,B))),converse(join(X_11,join(X_10,B)))) ),[0],$fot(join(converse(join(X_11,X_10)),converse(B)))]]) ).
cnf(refute_0_597,plain,
( converse(join(X_10,join(X_11,B))) != join(converse(join(X_11,X_10)),converse(B))
| converse(join(X_10,join(X_11,B))) = converse(join(X_11,join(X_10,B))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_10)),converse(B)),converse(join(X_11,join(X_10,B)))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
( converse(join(join(X_10,X_11),B)) != join(converse(join(X_11,X_10)),converse(B))
| converse(join(X_10,join(X_11,B))) = converse(join(X_11,join(X_10,B))) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,join(X_11,B))),join(converse(join(X_11,X_10)),converse(B))) )],[refute_0_586,refute_0_597]) ).
cnf(refute_0_599,plain,
converse(join(X_10,join(X_11,B))) = converse(join(X_11,join(X_10,B))),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),B)),join(converse(join(X_11,X_10)),converse(B))) )],[refute_0_579,refute_0_598]) ).
cnf(refute_0_600,plain,
converse(join(X_64,join(X_65,converse(complement(converse(X_65)))))) = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))),
inference(subst,[],[refute_0_599:[bind(B,$fot(converse(complement(converse(X_65))))),bind(X_10,$fot(X_64)),bind(X_11,$fot(X_65))]]) ).
cnf(refute_0_601,plain,
( converse(top) != join(X_12,converse(complement(converse(X_12))))
| converse(top) != top
| top = join(X_12,converse(complement(converse(X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_12,converse(complement(converse(X_12))))) ),[0],$fot(top)]]) ).
cnf(refute_0_602,plain,
( converse(top) != join(X_12,converse(complement(converse(X_12))))
| top = join(X_12,converse(complement(converse(X_12)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_601]) ).
cnf(refute_0_603,plain,
top = join(X_12,converse(complement(converse(X_12)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_12,converse(complement(converse(X_12))))) )],[refute_0_307,refute_0_602]) ).
cnf(refute_0_604,plain,
top = join(X_65,converse(complement(converse(X_65)))),
inference(subst,[],[refute_0_603:[bind(X_12,$fot(X_65))]]) ).
cnf(refute_0_605,plain,
( top != join(X_65,converse(complement(converse(X_65))))
| join(X_65,converse(complement(converse(X_65)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_65,converse(complement(converse(X_65))))))]]) ).
cnf(refute_0_606,plain,
join(X_65,converse(complement(converse(X_65)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_65,converse(complement(converse(X_65))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
( converse(join(X_64,join(X_65,converse(complement(converse(X_65)))))) != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| join(X_65,converse(complement(converse(X_65)))) != top
| converse(join(X_64,top)) = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,join(X_65,converse(complement(converse(X_65)))))),converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_608,plain,
( converse(join(X_64,join(X_65,converse(complement(converse(X_65)))))) != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| converse(join(X_64,top)) = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) ),
inference(resolve,[$cnf( $equal(join(X_65,converse(complement(converse(X_65)))),top) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
converse(join(X_64,top)) = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))),
inference(resolve,[$cnf( $equal(converse(join(X_64,join(X_65,converse(complement(converse(X_65)))))),converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) )],[refute_0_600,refute_0_608]) ).
cnf(refute_0_610,plain,
join(X_64,top) = top,
inference(subst,[],[refute_0_502:[bind(X_55,$fot(X_64))]]) ).
cnf(refute_0_611,plain,
converse(join(X_64,top)) = converse(join(X_64,top)),
introduced(tautology,[refl,[$fot(converse(join(X_64,top)))]]) ).
cnf(refute_0_612,plain,
( converse(join(X_64,top)) != converse(join(X_64,top))
| join(X_64,top) != top
| converse(join(X_64,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_64,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_613,plain,
( join(X_64,top) != top
| converse(join(X_64,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_64,top))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
converse(join(X_64,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(X_64,top),top) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
( converse(join(X_64,top)) != converse(top)
| converse(top) != top
| converse(join(X_64,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(X_64,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_616,plain,
( converse(top) != top
| converse(join(X_64,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),converse(top)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
converse(join(X_64,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_616]) ).
cnf(refute_0_618,plain,
( converse(join(X_64,top)) != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| converse(join(X_64,top)) != top
| top = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_619,plain,
( converse(join(X_64,top)) != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| top = converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),top) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
join(converse(join(X_65,X_64)),complement(converse(X_65))) = join(complement(converse(X_65)),converse(join(X_65,X_64))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(X_65)))),bind(B,$fot(converse(join(X_65,X_64))))]]) ).
cnf(refute_0_621,plain,
converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) = join(converse(join(X_65,X_64)),complement(converse(X_65))),
inference(subst,[],[refute_0_563:[bind(A,$fot(complement(converse(X_65)))),bind(X_49,$fot(X_65)),bind(X_50,$fot(X_64))]]) ).
cnf(refute_0_622,plain,
( converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) != join(converse(join(X_65,X_64)),complement(converse(X_65)))
| join(converse(join(X_65,X_64)),complement(converse(X_65))) != join(complement(converse(X_65)),converse(join(X_65,X_64)))
| converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) = join(complement(converse(X_65)),converse(join(X_65,X_64))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))))),bind(Y,$fot(join(converse(join(X_65,X_64)),complement(converse(X_65))))),bind(Z,$fot(join(complement(converse(X_65)),converse(join(X_65,X_64)))))]]) ).
cnf(refute_0_623,plain,
( join(converse(join(X_65,X_64)),complement(converse(X_65))) != join(complement(converse(X_65)),converse(join(X_65,X_64)))
| converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) = join(complement(converse(X_65)),converse(join(X_65,X_64))) ),
inference(resolve,[$cnf( $equal(converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))),join(converse(join(X_65,X_64)),complement(converse(X_65)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) = join(complement(converse(X_65)),converse(join(X_65,X_64))),
inference(resolve,[$cnf( $equal(join(converse(join(X_65,X_64)),complement(converse(X_65))),join(complement(converse(X_65)),converse(join(X_65,X_64)))) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
( converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))) != join(complement(converse(X_65)),converse(join(X_65,X_64)))
| top != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| top = join(complement(converse(X_65)),converse(join(X_65,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) ),[1],$fot(join(complement(converse(X_65)),converse(join(X_65,X_64))))]]) ).
cnf(refute_0_626,plain,
( top != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| top = join(complement(converse(X_65)),converse(join(X_65,X_64))) ),
inference(resolve,[$cnf( $equal(converse(join(X_65,join(X_64,converse(complement(converse(X_65)))))),join(complement(converse(X_65)),converse(join(X_65,X_64)))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( converse(join(X_64,top)) != converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))
| top = join(complement(converse(X_65)),converse(join(X_65,X_64))) ),
inference(resolve,[$cnf( $equal(top,converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) )],[refute_0_619,refute_0_626]) ).
cnf(refute_0_628,plain,
top = join(complement(converse(X_65)),converse(join(X_65,X_64))),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_65,join(X_64,converse(complement(converse(X_65))))))) )],[refute_0_609,refute_0_627]) ).
cnf(refute_0_629,plain,
top = join(complement(converse(meet(X_87,X_88))),converse(join(meet(X_87,X_88),meet(complement(X_88),X_87)))),
inference(subst,[],[refute_0_628:[bind(X_64,$fot(meet(complement(X_88),X_87))),bind(X_65,$fot(meet(X_87,X_88)))]]) ).
cnf(refute_0_630,plain,
X_87 = join(meet(X_87,X_88),complement(join(complement(X_87),X_88))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(X_88))]]) ).
cnf(refute_0_631,plain,
join(X_88,complement(X_87)) = join(complement(X_87),X_88),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_88)),bind(B,$fot(complement(X_87)))]]) ).
cnf(refute_0_632,plain,
( join(X_88,complement(X_87)) != join(complement(X_87),X_88)
| join(complement(X_87),X_88) = join(X_88,complement(X_87)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_88,complement(X_87)))),bind(Y,$fot(join(complement(X_87),X_88)))]]) ).
cnf(refute_0_633,plain,
join(complement(X_87),X_88) = join(X_88,complement(X_87)),
inference(resolve,[$cnf( $equal(join(X_88,complement(X_87)),join(complement(X_87),X_88)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( X_87 != join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))
| join(complement(X_87),X_88) != join(X_88,complement(X_87))
| X_87 = join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))) ),[1,1,0],$fot(join(X_88,complement(X_87)))]]) ).
cnf(refute_0_635,plain,
( X_87 != join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))
| X_87 = join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),X_88),join(X_88,complement(X_87))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
X_87 = join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))) )],[refute_0_630,refute_0_635]) ).
cnf(refute_0_637,plain,
( meet(complement(X_31),B) != complement(join(X_31,complement(B)))
| complement(join(X_31,complement(B))) = meet(complement(X_31),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_31),B))),bind(Y,$fot(complement(join(X_31,complement(B)))))]]) ).
cnf(refute_0_638,plain,
complement(join(X_31,complement(B))) = meet(complement(X_31),B),
inference(resolve,[$cnf( $equal(meet(complement(X_31),B),complement(join(X_31,complement(B)))) )],[refute_0_282,refute_0_637]) ).
cnf(refute_0_639,plain,
complement(join(X_88,complement(X_87))) = meet(complement(X_88),X_87),
inference(subst,[],[refute_0_638:[bind(B,$fot(X_87)),bind(X_31,$fot(X_88))]]) ).
cnf(refute_0_640,plain,
join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) = join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))),
introduced(tautology,[refl,[$fot(join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))))]]) ).
cnf(refute_0_641,plain,
( complement(join(X_88,complement(X_87))) != meet(complement(X_88),X_87)
| join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) != join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))
| join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) = join(meet(X_87,X_88),meet(complement(X_88),X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))),join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))) ),[1,1],$fot(meet(complement(X_88),X_87))]]) ).
cnf(refute_0_642,plain,
( complement(join(X_88,complement(X_87))) != meet(complement(X_88),X_87)
| join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) = join(meet(X_87,X_88),meet(complement(X_88),X_87)) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))),join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) = join(meet(X_87,X_88),meet(complement(X_88),X_87)),
inference(resolve,[$cnf( $equal(complement(join(X_88,complement(X_87))),meet(complement(X_88),X_87)) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
( X_87 != join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))
| join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))) != join(meet(X_87,X_88),meet(complement(X_88),X_87))
| X_87 = join(meet(X_87,X_88),meet(complement(X_88),X_87)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(meet(X_87,X_88),meet(complement(X_88),X_87))) ),[0],$fot(join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))))]]) ).
cnf(refute_0_645,plain,
( X_87 != join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))
| X_87 = join(meet(X_87,X_88),meet(complement(X_88),X_87)) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,X_88),complement(join(X_88,complement(X_87)))),join(meet(X_87,X_88),meet(complement(X_88),X_87))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
X_87 = join(meet(X_87,X_88),meet(complement(X_88),X_87)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,X_88),complement(join(X_88,complement(X_87))))) )],[refute_0_636,refute_0_645]) ).
cnf(refute_0_647,plain,
( X_87 != join(meet(X_87,X_88),meet(complement(X_88),X_87))
| join(meet(X_87,X_88),meet(complement(X_88),X_87)) = X_87 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_87)),bind(Y,$fot(join(meet(X_87,X_88),meet(complement(X_88),X_87))))]]) ).
cnf(refute_0_648,plain,
join(meet(X_87,X_88),meet(complement(X_88),X_87)) = X_87,
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,X_88),meet(complement(X_88),X_87))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( join(meet(X_87,X_88),meet(complement(X_88),X_87)) != X_87
| top != join(complement(converse(meet(X_87,X_88))),converse(join(meet(X_87,X_88),meet(complement(X_88),X_87))))
| top = join(complement(converse(meet(X_87,X_88))),converse(X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(X_87,X_88))),converse(join(meet(X_87,X_88),meet(complement(X_88),X_87))))) ),[1,1,0],$fot(X_87)]]) ).
cnf(refute_0_650,plain,
( top != join(complement(converse(meet(X_87,X_88))),converse(join(meet(X_87,X_88),meet(complement(X_88),X_87))))
| top = join(complement(converse(meet(X_87,X_88))),converse(X_87)) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,X_88),meet(complement(X_88),X_87)),X_87) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
top = join(complement(converse(meet(X_87,X_88))),converse(X_87)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(X_87,X_88))),converse(join(meet(X_87,X_88),meet(complement(X_88),X_87))))) )],[refute_0_629,refute_0_650]) ).
cnf(refute_0_652,plain,
join(complement(converse(meet(X_87,X_88))),converse(X_87)) = join(converse(X_87),complement(converse(meet(X_87,X_88)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(X_87))),bind(B,$fot(complement(converse(meet(X_87,X_88)))))]]) ).
cnf(refute_0_653,plain,
( join(complement(converse(meet(X_87,X_88))),converse(X_87)) != join(converse(X_87),complement(converse(meet(X_87,X_88))))
| top != join(complement(converse(meet(X_87,X_88))),converse(X_87))
| top = join(converse(X_87),complement(converse(meet(X_87,X_88)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(X_87,X_88))),converse(X_87))) ),[1],$fot(join(converse(X_87),complement(converse(meet(X_87,X_88)))))]]) ).
cnf(refute_0_654,plain,
( top != join(complement(converse(meet(X_87,X_88))),converse(X_87))
| top = join(converse(X_87),complement(converse(meet(X_87,X_88)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_87,X_88))),converse(X_87)),join(converse(X_87),complement(converse(meet(X_87,X_88))))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
top = join(converse(X_87),complement(converse(meet(X_87,X_88)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(X_87,X_88))),converse(X_87))) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
top = join(converse(X_439),complement(converse(meet(X_439,X_440)))),
inference(subst,[],[refute_0_655:[bind(X_87,$fot(X_439)),bind(X_88,$fot(X_440))]]) ).
cnf(refute_0_657,plain,
( top != join(converse(X_439),complement(converse(meet(X_439,X_440))))
| join(converse(X_439),complement(converse(meet(X_439,X_440)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_439),complement(converse(meet(X_439,X_440))))))]]) ).
cnf(refute_0_658,plain,
join(converse(X_439),complement(converse(meet(X_439,X_440)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_439),complement(converse(meet(X_439,X_440))))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( join(converse(X_439),complement(converse(meet(X_439,X_440)))) != top
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) != top
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))),top) ),[0,1,0,0],$fot(top)]]) ).
cnf(refute_0_660,plain,
( join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) != top
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_439),complement(converse(meet(X_439,X_440)))),top) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))),top) )],[refute_0_574,refute_0_660]) ).
cnf(refute_0_662,plain,
join(zero,join(X_439,complement(meet(X_439,X_440)))) = join(X_439,complement(meet(X_439,X_440))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(join(X_439,complement(meet(X_439,X_440)))))]]) ).
cnf(refute_0_663,plain,
converse(converse(meet(X_439,X_440))) = meet(X_439,X_440),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(meet(X_439,X_440)))]]) ).
cnf(refute_0_664,plain,
complement(converse(converse(meet(X_439,X_440)))) = complement(converse(converse(meet(X_439,X_440)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(meet(X_439,X_440)))))]]) ).
cnf(refute_0_665,plain,
( complement(converse(converse(meet(X_439,X_440)))) != complement(converse(converse(meet(X_439,X_440))))
| converse(converse(meet(X_439,X_440))) != meet(X_439,X_440)
| complement(converse(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(meet(X_439,X_440)))),complement(converse(converse(meet(X_439,X_440))))) ),[1,0],$fot(meet(X_439,X_440))]]) ).
cnf(refute_0_666,plain,
( converse(converse(meet(X_439,X_440))) != meet(X_439,X_440)
| complement(converse(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(X_439,X_440)))),complement(converse(converse(meet(X_439,X_440))))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
complement(converse(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)),
inference(resolve,[$cnf( $equal(converse(converse(meet(X_439,X_440))),meet(X_439,X_440)) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
converse(complement(converse(complement(complement(X_100))))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100))))))),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(converse(complement(converse(complement(complement(X_100))))))),bind(X_88,$fot(X_100))]]) ).
cnf(refute_0_669,plain,
X_87 = join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(join(complement(X_87),converse(complement(converse(complement(X_87))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(converse(complement(converse(complement(X_87))))))]]) ).
cnf(refute_0_670,plain,
top = join(complement(X_87),converse(complement(converse(complement(X_87))))),
inference(subst,[],[refute_0_603:[bind(X_12,$fot(complement(X_87)))]]) ).
cnf(refute_0_671,plain,
( top != join(complement(X_87),converse(complement(converse(complement(X_87)))))
| join(complement(X_87),converse(complement(converse(complement(X_87))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_87),converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_672,plain,
join(complement(X_87),converse(complement(converse(complement(X_87))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_87),converse(complement(converse(complement(X_87)))))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(join(complement(X_87),converse(complement(converse(complement(X_87)))))))
| join(complement(X_87),converse(complement(converse(complement(X_87))))) != top
| X_87 = join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(join(complement(X_87),converse(complement(converse(complement(X_87)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_674,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(join(complement(X_87),converse(complement(converse(complement(X_87)))))))
| X_87 = join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),converse(complement(converse(complement(X_87))))),top) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
X_87 = join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(join(complement(X_87),converse(complement(converse(complement(X_87)))))))) )],[refute_0_669,refute_0_674]) ).
cnf(refute_0_676,plain,
join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) = join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_677,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) != join(complement(top),meet(X_87,converse(complement(converse(complement(X_87))))))
| join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))),join(complement(top),meet(X_87,converse(complement(converse(complement(X_87))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_678,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))),join(complement(top),meet(X_87,converse(complement(converse(complement(X_87))))))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_678]) ).
cnf(refute_0_680,plain,
join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) = join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_87,converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_681,plain,
( join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) != join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))
| join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) != join(complement(top),meet(X_87,converse(complement(converse(complement(X_87))))))
| join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))))),bind(Z,$fot(join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))))]]) ).
cnf(refute_0_682,plain,
( join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))) != join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))
| join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)),join(complement(top),meet(X_87,converse(complement(converse(complement(X_87))))))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,converse(complement(converse(complement(X_87)))))),join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top))
| join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)) != join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))
| X_87 = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))) ),[0],$fot(join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)))]]) ).
cnf(refute_0_685,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top))
| X_87 = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top)),join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
X_87 = join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,converse(complement(converse(complement(X_87))))),complement(top))) )],[refute_0_675,refute_0_685]) ).
cnf(refute_0_687,plain,
join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) = meet(X_87,converse(complement(converse(complement(X_87))))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_688,plain,
( X_87 != join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))
| join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))) != meet(X_87,converse(complement(converse(complement(X_87)))))
| X_87 = meet(X_87,converse(complement(converse(complement(X_87))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,converse(complement(converse(complement(X_87)))))) ),[0],$fot(join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_689,plain,
( X_87 != join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))
| X_87 = meet(X_87,converse(complement(converse(complement(X_87))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,converse(complement(converse(complement(X_87)))))),meet(X_87,converse(complement(converse(complement(X_87)))))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
X_87 = meet(X_87,converse(complement(converse(complement(X_87))))),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,converse(complement(converse(complement(X_87))))))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
complement(X_100) = meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))),
inference(subst,[],[refute_0_690:[bind(X_87,$fot(complement(X_100)))]]) ).
cnf(refute_0_692,plain,
( complement(X_100) != meet(complement(X_100),converse(complement(converse(complement(complement(X_100))))))
| meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))) = complement(X_100) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_100))),bind(Y,$fot(meet(complement(X_100),converse(complement(converse(complement(complement(X_100))))))))]]) ).
cnf(refute_0_693,plain,
meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))) = complement(X_100),
inference(resolve,[$cnf( $equal(complement(X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100))))))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
( converse(complement(converse(complement(complement(X_100))))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))))
| meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))) != complement(X_100)
| converse(complement(converse(complement(complement(X_100))))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))))) ),[1,1],$fot(complement(X_100))]]) ).
cnf(refute_0_695,plain,
( converse(complement(converse(complement(complement(X_100))))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))))
| converse(complement(converse(complement(complement(X_100))))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))),complement(X_100)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
converse(complement(converse(complement(complement(X_100))))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(complement(X_100),converse(complement(converse(complement(complement(X_100)))))))) )],[refute_0_668,refute_0_695]) ).
cnf(refute_0_697,plain,
meet(top,B) = B,
inference(subst,[],[refute_0_269:[bind(X_89,$fot(B))]]) ).
cnf(refute_0_698,plain,
( meet(top,B) != B
| meet(top,B) != complement(join(zero,complement(B)))
| B = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) ),[0],$fot(B)]]) ).
cnf(refute_0_699,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| B = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
join(zero,complement(B)) = complement(B),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(B)))]]) ).
cnf(refute_0_701,plain,
complement(join(zero,complement(B))) = complement(join(zero,complement(B))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(B))))]]) ).
cnf(refute_0_702,plain,
( complement(join(zero,complement(B))) != complement(join(zero,complement(B)))
| join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_703,plain,
( join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
complement(join(zero,complement(B))) = complement(complement(B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( B != complement(join(zero,complement(B)))
| complement(join(zero,complement(B))) != complement(complement(B))
| B = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(B,complement(complement(B))) ),[0],$fot(complement(join(zero,complement(B))))]]) ).
cnf(refute_0_706,plain,
( B != complement(join(zero,complement(B)))
| B = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(complement(B))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| B = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(B,complement(join(zero,complement(B)))) )],[refute_0_699,refute_0_706]) ).
cnf(refute_0_708,plain,
B = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_244,refute_0_707]) ).
cnf(refute_0_709,plain,
( B != complement(complement(B))
| complement(complement(B)) = B ),
inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(complement(complement(B))))]]) ).
cnf(refute_0_710,plain,
complement(complement(B)) = B,
inference(resolve,[$cnf( $equal(B,complement(complement(B))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
complement(complement(X_100)) = X_100,
inference(subst,[],[refute_0_710:[bind(B,$fot(X_100))]]) ).
cnf(refute_0_712,plain,
converse(complement(complement(X_100))) = converse(complement(complement(X_100))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_100))))]]) ).
cnf(refute_0_713,plain,
( complement(complement(X_100)) != X_100
| converse(complement(complement(X_100))) != converse(complement(complement(X_100)))
| converse(complement(complement(X_100))) = converse(X_100) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_100))),converse(complement(complement(X_100)))) ),[1,0],$fot(X_100)]]) ).
cnf(refute_0_714,plain,
( complement(complement(X_100)) != X_100
| converse(complement(complement(X_100))) = converse(X_100) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_100))),converse(complement(complement(X_100)))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
converse(complement(complement(X_100))) = converse(X_100),
inference(resolve,[$cnf( $equal(complement(complement(X_100)),X_100) )],[refute_0_711,refute_0_714]) ).
cnf(refute_0_716,plain,
complement(converse(complement(complement(X_100)))) = complement(converse(complement(complement(X_100)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_100)))))]]) ).
cnf(refute_0_717,plain,
( complement(converse(complement(complement(X_100)))) != complement(converse(complement(complement(X_100))))
| converse(complement(complement(X_100))) != converse(X_100)
| complement(converse(complement(complement(X_100)))) = complement(converse(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_100)))),complement(converse(complement(complement(X_100))))) ),[1,0],$fot(converse(X_100))]]) ).
cnf(refute_0_718,plain,
( converse(complement(complement(X_100))) != converse(X_100)
| complement(converse(complement(complement(X_100)))) = complement(converse(X_100)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_100)))),complement(converse(complement(complement(X_100))))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
complement(converse(complement(complement(X_100)))) = complement(converse(X_100)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_100))),converse(X_100)) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
converse(complement(converse(complement(complement(X_100))))) = converse(complement(converse(complement(complement(X_100))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_100))))))]]) ).
cnf(refute_0_721,plain,
( complement(converse(complement(complement(X_100)))) != complement(converse(X_100))
| converse(complement(converse(complement(complement(X_100))))) != converse(complement(converse(complement(complement(X_100)))))
| converse(complement(converse(complement(complement(X_100))))) = converse(complement(converse(X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),converse(complement(converse(complement(complement(X_100)))))) ),[1,0],$fot(complement(converse(X_100)))]]) ).
cnf(refute_0_722,plain,
( complement(converse(complement(complement(X_100)))) != complement(converse(X_100))
| converse(complement(converse(complement(complement(X_100))))) = converse(complement(converse(X_100))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),converse(complement(converse(complement(complement(X_100)))))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
converse(complement(converse(complement(complement(X_100))))) = converse(complement(converse(X_100))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_100)))),complement(converse(X_100))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
( converse(complement(converse(complement(complement(X_100))))) != converse(complement(converse(X_100)))
| converse(complement(converse(complement(complement(X_100))))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))
| converse(complement(converse(X_100))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))) ),[0],$fot(converse(complement(converse(X_100))))]]) ).
cnf(refute_0_725,plain,
( converse(complement(converse(complement(complement(X_100))))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))
| converse(complement(converse(X_100))) = join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),converse(complement(converse(X_100)))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
meet(X_100,converse(complement(converse(complement(complement(X_100)))))) = meet(X_100,converse(complement(converse(complement(complement(X_100)))))),
introduced(tautology,[refl,[$fot(meet(X_100,converse(complement(converse(complement(complement(X_100)))))))]]) ).
cnf(refute_0_727,plain,
( converse(complement(converse(complement(complement(X_100))))) != converse(complement(converse(X_100)))
| meet(X_100,converse(complement(converse(complement(complement(X_100)))))) != meet(X_100,converse(complement(converse(complement(complement(X_100))))))
| meet(X_100,converse(complement(converse(complement(complement(X_100)))))) = meet(X_100,converse(complement(converse(X_100)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_100,converse(complement(converse(complement(complement(X_100)))))),meet(X_100,converse(complement(converse(complement(complement(X_100))))))) ),[1,1],$fot(converse(complement(converse(X_100))))]]) ).
cnf(refute_0_728,plain,
( converse(complement(converse(complement(complement(X_100))))) != converse(complement(converse(X_100)))
| meet(X_100,converse(complement(converse(complement(complement(X_100)))))) = meet(X_100,converse(complement(converse(X_100)))) ),
inference(resolve,[$cnf( $equal(meet(X_100,converse(complement(converse(complement(complement(X_100)))))),meet(X_100,converse(complement(converse(complement(complement(X_100))))))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
meet(X_100,converse(complement(converse(complement(complement(X_100)))))) = meet(X_100,converse(complement(converse(X_100)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),converse(complement(converse(X_100)))) )],[refute_0_723,refute_0_728]) ).
cnf(refute_0_730,plain,
( meet(X_26,X_27) != meet(X_27,X_26)
| meet(X_27,X_26) = meet(X_26,X_27) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_26,X_27))),bind(Y,$fot(meet(X_27,X_26)))]]) ).
cnf(refute_0_731,plain,
meet(X_27,X_26) = meet(X_26,X_27),
inference(resolve,[$cnf( $equal(meet(X_26,X_27),meet(X_27,X_26)) )],[refute_0_232,refute_0_730]) ).
cnf(refute_0_732,plain,
meet(converse(complement(converse(complement(complement(X_100))))),X_100) = meet(X_100,converse(complement(converse(complement(complement(X_100)))))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(X_100)),bind(X_27,$fot(converse(complement(converse(complement(complement(X_100)))))))]]) ).
cnf(refute_0_733,plain,
( meet(X_100,converse(complement(converse(complement(complement(X_100)))))) != meet(X_100,converse(complement(converse(X_100))))
| meet(converse(complement(converse(complement(complement(X_100))))),X_100) != meet(X_100,converse(complement(converse(complement(complement(X_100))))))
| meet(converse(complement(converse(complement(complement(X_100))))),X_100) = meet(X_100,converse(complement(converse(X_100)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_100))))),X_100))),bind(Y,$fot(meet(X_100,converse(complement(converse(complement(complement(X_100)))))))),bind(Z,$fot(meet(X_100,converse(complement(converse(X_100))))))]]) ).
cnf(refute_0_734,plain,
( meet(X_100,converse(complement(converse(complement(complement(X_100)))))) != meet(X_100,converse(complement(converse(X_100))))
| meet(converse(complement(converse(complement(complement(X_100))))),X_100) = meet(X_100,converse(complement(converse(X_100)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(X_100,converse(complement(converse(complement(complement(X_100))))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
meet(converse(complement(converse(complement(complement(X_100))))),X_100) = meet(X_100,converse(complement(converse(X_100)))),
inference(resolve,[$cnf( $equal(meet(X_100,converse(complement(converse(complement(complement(X_100)))))),meet(X_100,converse(complement(converse(X_100))))) )],[refute_0_729,refute_0_734]) ).
cnf(refute_0_736,plain,
join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) = join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)),
introduced(tautology,[refl,[$fot(join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)))]]) ).
cnf(refute_0_737,plain,
( join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) != join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100))
| meet(converse(complement(converse(complement(complement(X_100))))),X_100) != meet(X_100,converse(complement(converse(X_100))))
| join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)),join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100))) ),[1,1],$fot(meet(X_100,converse(complement(converse(X_100)))))]]) ).
cnf(refute_0_738,plain,
( meet(converse(complement(converse(complement(complement(X_100))))),X_100) != meet(X_100,converse(complement(converse(X_100))))
| join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)),join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_100))))),X_100),meet(X_100,converse(complement(converse(X_100))))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) = join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_100))),bind(B,$fot(meet(converse(complement(converse(complement(complement(X_100))))),X_100)))]]) ).
cnf(refute_0_741,plain,
( join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) != join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))
| join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) != join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100))
| join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)))),bind(Y,$fot(join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)))),bind(Z,$fot(join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))))]]) ).
cnf(refute_0_742,plain,
( join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)) != join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))
| join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)),join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))),
inference(resolve,[$cnf( $equal(join(complement(X_100),meet(converse(complement(converse(complement(complement(X_100))))),X_100)),join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( converse(complement(converse(X_100))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))
| join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)) != join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))
| converse(complement(converse(X_100))) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_100))),join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)))]]) ).
cnf(refute_0_745,plain,
( converse(complement(converse(X_100))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))
| converse(complement(converse(X_100))) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100)),join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( converse(complement(converse(complement(complement(X_100))))) != join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))
| converse(complement(converse(X_100))) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_100))),join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))) )],[refute_0_725,refute_0_745]) ).
cnf(refute_0_747,plain,
converse(complement(converse(X_100))) = join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_100))))),join(meet(converse(complement(converse(complement(complement(X_100))))),X_100),complement(X_100))) )],[refute_0_696,refute_0_746]) ).
cnf(refute_0_748,plain,
converse(complement(converse(converse(A)))) = join(complement(converse(A)),meet(converse(A),converse(complement(converse(converse(A)))))),
inference(subst,[],[refute_0_747:[bind(X_100,$fot(converse(A)))]]) ).
cnf(refute_0_749,plain,
( converse(complement(converse(converse(A)))) != join(complement(converse(A)),meet(converse(A),converse(complement(converse(converse(A))))))
| converse(converse(A)) != A
| converse(complement(converse(converse(A)))) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(converse(converse(A))))))) ),[1,1,1,0,0],$fot(A)]]) ).
cnf(refute_0_750,plain,
( converse(complement(converse(converse(A)))) != join(complement(converse(A)),meet(converse(A),converse(complement(converse(converse(A))))))
| converse(complement(converse(converse(A)))) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_749]) ).
cnf(refute_0_751,plain,
converse(complement(converse(converse(A)))) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(converse(converse(A))))))) )],[refute_0_748,refute_0_750]) ).
cnf(refute_0_752,plain,
complement(converse(converse(A))) = complement(converse(converse(A))),
introduced(tautology,[refl,[$fot(complement(converse(converse(A))))]]) ).
cnf(refute_0_753,plain,
( complement(converse(converse(A))) != complement(converse(converse(A)))
| converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_754,plain,
( converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
complement(converse(converse(A))) = complement(A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_754]) ).
cnf(refute_0_756,plain,
converse(complement(converse(converse(A)))) = converse(complement(converse(converse(A)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(A)))))]]) ).
cnf(refute_0_757,plain,
( complement(converse(converse(A))) != complement(A)
| converse(complement(converse(converse(A)))) != converse(complement(converse(converse(A))))
| converse(complement(converse(converse(A)))) = converse(complement(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(converse(converse(A))))) ),[1,0],$fot(complement(A))]]) ).
cnf(refute_0_758,plain,
( complement(converse(converse(A))) != complement(A)
| converse(complement(converse(converse(A)))) = converse(complement(A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(converse(converse(A))))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
converse(complement(converse(converse(A)))) = converse(complement(A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(A)) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
( converse(complement(converse(converse(A)))) != converse(complement(A))
| converse(complement(converse(converse(A)))) != join(complement(converse(A)),meet(converse(A),converse(complement(A))))
| converse(complement(A)) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(A))))) ),[0],$fot(converse(complement(A)))]]) ).
cnf(refute_0_761,plain,
( converse(complement(converse(converse(A)))) != join(complement(converse(A)),meet(converse(A),converse(complement(A))))
| converse(complement(A)) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),converse(complement(A))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
converse(complement(A)) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(A))))) )],[refute_0_751,refute_0_761]) ).
cnf(refute_0_763,plain,
join(join(zero,X_75),zero) = join(zero,join(zero,X_75)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(zero,X_75))),bind(B,$fot(zero))]]) ).
cnf(refute_0_764,plain,
join(zero,join(zero,X_75)) = join(zero,X_75),
inference(subst,[],[refute_0_153:[bind(X_51,$fot(X_75))]]) ).
cnf(refute_0_765,plain,
( join(join(zero,X_75),zero) != join(zero,join(zero,X_75))
| join(zero,join(zero,X_75)) != join(zero,X_75)
| join(join(zero,X_75),zero) = join(zero,X_75) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_75),zero),join(zero,X_75)) ),[0],$fot(join(zero,join(zero,X_75)))]]) ).
cnf(refute_0_766,plain,
( join(join(zero,X_75),zero) != join(zero,join(zero,X_75))
| join(join(zero,X_75),zero) = join(zero,X_75) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_75)),join(zero,X_75)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
join(join(zero,X_75),zero) = join(zero,X_75),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,join(zero,X_75))) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
join(join(zero,X_75),zero) = join(zero,join(X_75,zero)),
inference(subst,[],[refute_0_33:[bind(A,$fot(zero)),bind(B,$fot(X_75)),bind(C,$fot(zero))]]) ).
cnf(refute_0_769,plain,
( join(join(zero,X_75),zero) != join(zero,X_75)
| join(join(zero,X_75),zero) != join(zero,join(X_75,zero))
| join(zero,join(X_75,zero)) = join(zero,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,X_75)) ),[0],$fot(join(zero,join(X_75,zero)))]]) ).
cnf(refute_0_770,plain,
( join(join(zero,X_75),zero) != join(zero,X_75)
| join(zero,join(X_75,zero)) = join(zero,X_75) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,join(X_75,zero))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
join(zero,join(X_75,zero)) = join(zero,X_75),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,X_75)) )],[refute_0_767,refute_0_770]) ).
cnf(refute_0_772,plain,
join(zero,join(meet(X_89,top),zero)) = join(zero,meet(X_89,top)),
inference(subst,[],[refute_0_771:[bind(X_75,$fot(meet(X_89,top)))]]) ).
cnf(refute_0_773,plain,
( join(zero,join(meet(X_89,top),zero)) != join(zero,meet(X_89,top))
| join(zero,meet(X_89,top)) != X_89
| join(zero,join(meet(X_89,top),zero)) = X_89 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(X_89,top),zero)),X_89) ),[0],$fot(join(zero,meet(X_89,top)))]]) ).
cnf(refute_0_774,plain,
( join(zero,join(meet(X_89,top),zero)) != join(zero,meet(X_89,top))
| join(zero,join(meet(X_89,top),zero)) = X_89 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_89,top)),X_89) )],[refute_0_211,refute_0_773]) ).
cnf(refute_0_775,plain,
join(zero,join(meet(X_89,top),zero)) = X_89,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_89,top),zero)),join(zero,meet(X_89,top))) )],[refute_0_772,refute_0_774]) ).
cnf(refute_0_776,plain,
join(zero,join(meet(X_89,top),C)) = join(join(zero,meet(X_89,top)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(meet(X_89,top)))]]) ).
cnf(refute_0_777,plain,
( join(zero,join(meet(X_89,top),C)) != join(join(zero,meet(X_89,top)),C)
| join(zero,meet(X_89,top)) != X_89
| join(zero,join(meet(X_89,top),C)) = join(X_89,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_89,top),C)),join(join(zero,meet(X_89,top)),C)) ),[1,0],$fot(X_89)]]) ).
cnf(refute_0_778,plain,
( join(zero,join(meet(X_89,top),C)) != join(join(zero,meet(X_89,top)),C)
| join(zero,join(meet(X_89,top),C)) = join(X_89,C) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_89,top)),X_89) )],[refute_0_211,refute_0_777]) ).
cnf(refute_0_779,plain,
join(zero,join(meet(X_89,top),C)) = join(X_89,C),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_89,top),C)),join(join(zero,meet(X_89,top)),C)) )],[refute_0_776,refute_0_778]) ).
cnf(refute_0_780,plain,
join(zero,join(meet(X_89,top),zero)) = join(X_89,zero),
inference(subst,[],[refute_0_779:[bind(C,$fot(zero))]]) ).
cnf(refute_0_781,plain,
( join(zero,join(meet(X_89,top),zero)) != X_89
| join(zero,join(meet(X_89,top),zero)) != join(X_89,zero)
| join(X_89,zero) = X_89 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_89,top),zero)),X_89) ),[0],$fot(join(X_89,zero))]]) ).
cnf(refute_0_782,plain,
( join(zero,join(meet(X_89,top),zero)) != X_89
| join(X_89,zero) = X_89 ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_89,top),zero)),join(X_89,zero)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
join(X_89,zero) = X_89,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_89,top),zero)),X_89) )],[refute_0_775,refute_0_782]) ).
cnf(refute_0_784,plain,
join(complement(converse(A)),zero) = complement(converse(A)),
inference(subst,[],[refute_0_783:[bind(X_89,$fot(complement(converse(A))))]]) ).
cnf(refute_0_785,plain,
meet(converse(X_225),converse(complement(X_225))) = complement(complement(meet(converse(X_225),converse(complement(X_225))))),
inference(subst,[],[refute_0_708:[bind(B,$fot(meet(converse(X_225),converse(complement(X_225)))))]]) ).
cnf(refute_0_786,plain,
top = join(complement(converse(complement(X_224))),converse(join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))))),
inference(subst,[],[refute_0_628:[bind(X_64,$fot(meet(X_224,converse(complement(converse(X_224)))))),bind(X_65,$fot(complement(X_224)))]]) ).
cnf(refute_0_787,plain,
converse(complement(converse(X_224))) = join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))),
inference(subst,[],[refute_0_747:[bind(X_100,$fot(X_224))]]) ).
cnf(refute_0_788,plain,
( converse(complement(converse(X_224))) != join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))
| join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))) = converse(complement(converse(X_224))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_224))))),bind(Y,$fot(join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))))]]) ).
cnf(refute_0_789,plain,
join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))) = converse(complement(converse(X_224))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_224))),join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
( join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))) != converse(complement(converse(X_224)))
| top != join(complement(converse(complement(X_224))),converse(join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))))
| top = join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(complement(X_224))),converse(join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))))) ),[1,1,0],$fot(converse(complement(converse(X_224))))]]) ).
cnf(refute_0_791,plain,
( top != join(complement(converse(complement(X_224))),converse(join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))))
| top = join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))),converse(complement(converse(X_224)))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
top = join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(complement(X_224))),converse(join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))))) )],[refute_0_786,refute_0_791]) ).
cnf(refute_0_793,plain,
meet(converse(complement(X_224)),converse(X_224)) = meet(converse(X_224),converse(complement(X_224))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(converse(X_224))),bind(X_27,$fot(converse(complement(X_224))))]]) ).
cnf(refute_0_794,plain,
complement(meet(converse(complement(X_224)),converse(X_224))) = complement(meet(converse(complement(X_224)),converse(X_224))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(X_224)),converse(X_224))))]]) ).
cnf(refute_0_795,plain,
( complement(meet(converse(complement(X_224)),converse(X_224))) != complement(meet(converse(complement(X_224)),converse(X_224)))
| meet(converse(complement(X_224)),converse(X_224)) != meet(converse(X_224),converse(complement(X_224)))
| complement(meet(converse(complement(X_224)),converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(X_224)),converse(X_224))),complement(meet(converse(complement(X_224)),converse(X_224)))) ),[1,0],$fot(meet(converse(X_224),converse(complement(X_224))))]]) ).
cnf(refute_0_796,plain,
( meet(converse(complement(X_224)),converse(X_224)) != meet(converse(X_224),converse(complement(X_224)))
| complement(meet(converse(complement(X_224)),converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_224)),converse(X_224))),complement(meet(converse(complement(X_224)),converse(X_224)))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
complement(meet(converse(complement(X_224)),converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_224)),converse(X_224)),meet(converse(X_224),converse(complement(X_224)))) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
join(complement(A),complement(B)) = join(meet(join(complement(A),complement(B)),X_88),complement(join(complement(join(complement(A),complement(B))),X_88))),
inference(subst,[],[refute_0_23:[bind(A,$fot(join(complement(A),complement(B)))),bind(B,$fot(X_88))]]) ).
cnf(refute_0_799,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(A),complement(B)) != join(meet(join(complement(A),complement(B)),X_88),complement(join(complement(join(complement(A),complement(B))),X_88)))
| join(complement(A),complement(B)) = join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),join(meet(join(complement(A),complement(B)),X_88),complement(join(complement(join(complement(A),complement(B))),X_88)))) ),[1,1,0,0],$fot(meet(A,B))]]) ).
cnf(refute_0_800,plain,
( join(complement(A),complement(B)) != join(meet(join(complement(A),complement(B)),X_88),complement(join(complement(join(complement(A),complement(B))),X_88)))
| join(complement(A),complement(B)) = join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_799]) ).
cnf(refute_0_801,plain,
join(complement(A),complement(B)) = join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(meet(join(complement(A),complement(B)),X_88),complement(join(complement(join(complement(A),complement(B))),X_88)))) )],[refute_0_798,refute_0_800]) ).
cnf(refute_0_802,plain,
meet(join(complement(A),complement(B)),X_88) = complement(join(meet(A,B),complement(X_88))),
inference(subst,[],[refute_0_58:[bind(B,$fot(X_88)),bind(X_26,$fot(A)),bind(X_27,$fot(B))]]) ).
cnf(refute_0_803,plain,
join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) = join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)))]]) ).
cnf(refute_0_804,plain,
( join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) != join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88))
| meet(join(complement(A),complement(B)),X_88) != complement(join(meet(A,B),complement(X_88)))
| join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)),join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88))) ),[1,1],$fot(complement(join(meet(A,B),complement(X_88))))]]) ).
cnf(refute_0_805,plain,
( meet(join(complement(A),complement(B)),X_88) != complement(join(meet(A,B),complement(X_88)))
| join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)),join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),complement(X_88)))) )],[refute_0_802,refute_0_805]) ).
cnf(refute_0_807,plain,
join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) = join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(meet(A,B),X_88)))),bind(B,$fot(meet(join(complement(A),complement(B)),X_88)))]]) ).
cnf(refute_0_808,plain,
( join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) != join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88))
| join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))))),bind(Y,$fot(join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)))),bind(Z,$fot(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))))]]) ).
cnf(refute_0_809,plain,
( join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))),join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),meet(join(complement(A),complement(B)),X_88)),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
( join(complement(A),complement(B)) != join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88)))
| join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) ),[0],$fot(join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))))]]) ).
cnf(refute_0_812,plain,
( join(complement(A),complement(B)) != join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88)))
| join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88))),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(meet(join(complement(A),complement(B)),X_88),complement(join(meet(A,B),X_88)))) )],[refute_0_801,refute_0_812]) ).
cnf(refute_0_814,plain,
complement(join(meet(A,B),complement(X_88))) = meet(complement(meet(A,B)),X_88),
inference(subst,[],[refute_0_638:[bind(B,$fot(X_88)),bind(X_31,$fot(meet(A,B)))]]) ).
cnf(refute_0_815,plain,
join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) = join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))))]]) ).
cnf(refute_0_816,plain,
( complement(join(meet(A,B),complement(X_88))) != meet(complement(meet(A,B)),X_88)
| join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) ),[1,1],$fot(meet(complement(meet(A,B)),X_88))]]) ).
cnf(refute_0_817,plain,
( complement(join(meet(A,B),complement(X_88))) != meet(complement(meet(A,B)),X_88)
| join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)),
inference(resolve,[$cnf( $equal(complement(join(meet(A,B),complement(X_88))),meet(complement(meet(A,B)),X_88)) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
( join(complement(A),complement(B)) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))) != join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))
| join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))) ),[0],$fot(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))))]]) ).
cnf(refute_0_820,plain,
( join(complement(A),complement(B)) != join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))
| join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88)))),join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
join(complement(A),complement(B)) = join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(complement(join(meet(A,B),X_88)),complement(join(meet(A,B),complement(X_88))))) )],[refute_0_813,refute_0_820]) ).
cnf(refute_0_822,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_88),complement(join(complement(join(zero,complement(B))),X_88))),
inference(subst,[],[refute_0_23:[bind(A,$fot(join(zero,complement(B)))),bind(B,$fot(X_88))]]) ).
cnf(refute_0_823,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| complement(join(zero,complement(B))) = meet(top,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).
cnf(refute_0_824,plain,
complement(join(zero,complement(B))) = meet(top,B),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_244,refute_0_823]) ).
cnf(refute_0_825,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_88),complement(join(complement(join(zero,complement(B))),X_88)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_88),complement(join(complement(join(zero,complement(B))),X_88)))) ),[1,1,0,0],$fot(meet(top,B))]]) ).
cnf(refute_0_826,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_88),complement(join(complement(join(zero,complement(B))),X_88)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_88),complement(join(complement(join(zero,complement(B))),X_88)))) )],[refute_0_822,refute_0_826]) ).
cnf(refute_0_828,plain,
join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(meet(top,B),X_88)))),bind(B,$fot(meet(join(zero,complement(B)),X_88)))]]) ).
cnf(refute_0_829,plain,
( join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88)))) ),[1],$fot(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)))]]) ).
cnf(refute_0_830,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88))),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
join(zero,complement(B)) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_88),complement(join(meet(top,B),X_88)))) )],[refute_0_827,refute_0_830]) ).
cnf(refute_0_832,plain,
( join(zero,complement(B)) != complement(B)
| join(zero,complement(B)) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| complement(B) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_833,plain,
( join(zero,complement(B)) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| complement(B) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_700,refute_0_832]) ).
cnf(refute_0_834,plain,
meet(join(zero,complement(B)),X_88) = meet(join(zero,complement(B)),X_88),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(B)),X_88))]]) ).
cnf(refute_0_835,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),X_88) != meet(join(zero,complement(B)),X_88)
| meet(join(zero,complement(B)),X_88) = meet(complement(B),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(B)),X_88),meet(join(zero,complement(B)),X_88)) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_836,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),X_88) = meet(complement(B),X_88) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),X_88),meet(join(zero,complement(B)),X_88)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
meet(join(zero,complement(B)),X_88) = meet(complement(B),X_88),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_700,refute_0_836]) ).
cnf(refute_0_838,plain,
join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)),
introduced(tautology,[refl,[$fot(join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)))]]) ).
cnf(refute_0_839,plain,
( join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88))
| meet(join(zero,complement(B)),X_88) != meet(complement(B),X_88)
| join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88))) ),[1,1],$fot(meet(complement(B),X_88))]]) ).
cnf(refute_0_840,plain,
( meet(join(zero,complement(B)),X_88) != meet(complement(B),X_88)
| join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),X_88),meet(complement(B),X_88)) )],[refute_0_837,refute_0_840]) ).
cnf(refute_0_842,plain,
join(meet(top,B),X_88) = join(meet(top,B),X_88),
introduced(tautology,[refl,[$fot(join(meet(top,B),X_88))]]) ).
cnf(refute_0_843,plain,
( join(meet(top,B),X_88) != join(meet(top,B),X_88)
| meet(top,B) != B
| join(meet(top,B),X_88) = join(B,X_88) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,B),X_88),join(meet(top,B),X_88)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_844,plain,
( meet(top,B) != B
| join(meet(top,B),X_88) = join(B,X_88) ),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_88),join(meet(top,B),X_88)) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
join(meet(top,B),X_88) = join(B,X_88),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_697,refute_0_844]) ).
cnf(refute_0_846,plain,
complement(join(meet(top,B),X_88)) = complement(join(meet(top,B),X_88)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,B),X_88)))]]) ).
cnf(refute_0_847,plain,
( complement(join(meet(top,B),X_88)) != complement(join(meet(top,B),X_88))
| join(meet(top,B),X_88) != join(B,X_88)
| complement(join(meet(top,B),X_88)) = complement(join(B,X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,B),X_88)),complement(join(meet(top,B),X_88))) ),[1,0],$fot(join(B,X_88))]]) ).
cnf(refute_0_848,plain,
( join(meet(top,B),X_88) != join(B,X_88)
| complement(join(meet(top,B),X_88)) = complement(join(B,X_88)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_88)),complement(join(meet(top,B),X_88))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
complement(join(meet(top,B),X_88)) = complement(join(B,X_88)),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_88),join(B,X_88)) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)))]]) ).
cnf(refute_0_851,plain,
( complement(join(meet(top,B),X_88)) != complement(join(B,X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) ),[1,0],$fot(complement(join(B,X_88)))]]) ).
cnf(refute_0_852,plain,
( complement(join(meet(top,B),X_88)) != complement(join(B,X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_88)),complement(join(B,X_88))) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
( join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(B,X_88)),meet(complement(B),X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)))),bind(Y,$fot(join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)))),bind(Z,$fot(join(complement(join(B,X_88)),meet(complement(B),X_88))))]]) ).
cnf(refute_0_855,plain,
( join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(B,X_88)),meet(complement(B),X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) = join(complement(join(B,X_88)),meet(complement(B),X_88)),
inference(resolve,[$cnf( $equal(join(complement(join(B,X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(B,X_88)),meet(complement(B),X_88))) )],[refute_0_841,refute_0_855]) ).
cnf(refute_0_857,plain,
( complement(B) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)) != join(complement(join(B,X_88)),meet(complement(B),X_88))
| complement(B) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),join(complement(join(B,X_88)),meet(complement(B),X_88))) ),[0],$fot(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)))]]) ).
cnf(refute_0_858,plain,
( complement(B) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| complement(B) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88)),join(complement(join(B,X_88)),meet(complement(B),X_88))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( join(zero,complement(B)) != join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))
| complement(B) = join(complement(join(B,X_88)),meet(complement(B),X_88)) ),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_833,refute_0_858]) ).
cnf(refute_0_860,plain,
complement(B) = join(complement(join(B,X_88)),meet(complement(B),X_88)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_88)),meet(join(zero,complement(B)),X_88))) )],[refute_0_831,refute_0_859]) ).
cnf(refute_0_861,plain,
( complement(B) != join(complement(join(B,X_88)),meet(complement(B),X_88))
| join(complement(join(B,X_88)),meet(complement(B),X_88)) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(join(complement(join(B,X_88)),meet(complement(B),X_88))))]]) ).
cnf(refute_0_862,plain,
join(complement(join(B,X_88)),meet(complement(B),X_88)) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),join(complement(join(B,X_88)),meet(complement(B),X_88))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) = complement(meet(A,B)),
inference(subst,[],[refute_0_862:[bind(B,$fot(meet(A,B)))]]) ).
cnf(refute_0_864,plain,
( join(complement(A),complement(B)) != join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))
| join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)) != 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(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)))]]) ).
cnf(refute_0_865,plain,
( join(complement(A),complement(B)) != join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88)),complement(meet(A,B))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(complement(join(meet(A,B),X_88)),meet(complement(meet(A,B)),X_88))) )],[refute_0_821,refute_0_865]) ).
cnf(refute_0_867,plain,
join(complement(converse(complement(X_224))),complement(converse(X_224))) = complement(meet(converse(complement(X_224)),converse(X_224))),
inference(subst,[],[refute_0_866:[bind(A,$fot(converse(complement(X_224)))),bind(B,$fot(converse(X_224)))]]) ).
cnf(refute_0_868,plain,
( complement(meet(converse(complement(X_224)),converse(X_224))) != complement(meet(converse(X_224),converse(complement(X_224))))
| join(complement(converse(complement(X_224))),complement(converse(X_224))) != complement(meet(converse(complement(X_224)),converse(X_224)))
| join(complement(converse(complement(X_224))),complement(converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(complement(X_224))),complement(converse(X_224))))),bind(Y,$fot(complement(meet(converse(complement(X_224)),converse(X_224))))),bind(Z,$fot(complement(meet(converse(X_224),converse(complement(X_224))))))]]) ).
cnf(refute_0_869,plain,
( complement(meet(converse(complement(X_224)),converse(X_224))) != complement(meet(converse(X_224),converse(complement(X_224))))
| join(complement(converse(complement(X_224))),complement(converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_224))),complement(converse(X_224))),complement(meet(converse(complement(X_224)),converse(X_224)))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
join(complement(converse(complement(X_224))),complement(converse(X_224))) = complement(meet(converse(X_224),converse(complement(X_224)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_224)),converse(X_224))),complement(meet(converse(X_224),converse(complement(X_224))))) )],[refute_0_797,refute_0_869]) ).
cnf(refute_0_871,plain,
converse(converse(complement(converse(X_224)))) = complement(converse(X_224)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(X_224))))]]) ).
cnf(refute_0_872,plain,
join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))))]]) ).
cnf(refute_0_873,plain,
( converse(converse(complement(converse(X_224)))) != complement(converse(X_224))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) != join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = join(complement(converse(complement(X_224))),complement(converse(X_224))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))) ),[1,1],$fot(complement(converse(X_224)))]]) ).
cnf(refute_0_874,plain,
( converse(converse(complement(converse(X_224)))) != complement(converse(X_224))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = join(complement(converse(complement(X_224))),complement(converse(X_224))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = join(complement(converse(complement(X_224))),complement(converse(X_224))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_224)))),complement(converse(X_224))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
( join(complement(converse(complement(X_224))),complement(converse(X_224))) != complement(meet(converse(X_224),converse(complement(X_224))))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) != join(complement(converse(complement(X_224))),complement(converse(X_224)))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))))),bind(Y,$fot(join(complement(converse(complement(X_224))),complement(converse(X_224))))),bind(Z,$fot(complement(meet(converse(X_224),converse(complement(X_224))))))]]) ).
cnf(refute_0_877,plain,
( join(complement(converse(complement(X_224))),complement(converse(X_224))) != complement(meet(converse(X_224),converse(complement(X_224))))
| join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),join(complement(converse(complement(X_224))),complement(converse(X_224)))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) = complement(meet(converse(X_224),converse(complement(X_224)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_224))),complement(converse(X_224))),complement(meet(converse(X_224),converse(complement(X_224))))) )],[refute_0_870,refute_0_877]) ).
cnf(refute_0_879,plain,
( join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))) != complement(meet(converse(X_224),converse(complement(X_224))))
| top != join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))
| top = complement(meet(converse(X_224),converse(complement(X_224)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))) ),[1],$fot(complement(meet(converse(X_224),converse(complement(X_224)))))]]) ).
cnf(refute_0_880,plain,
( top != join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))
| top = complement(meet(converse(X_224),converse(complement(X_224)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224))))),complement(meet(converse(X_224),converse(complement(X_224))))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
top = complement(meet(converse(X_224),converse(complement(X_224)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(complement(X_224))),converse(converse(complement(converse(X_224)))))) )],[refute_0_792,refute_0_880]) ).
cnf(refute_0_882,plain,
top = complement(meet(converse(X_225),converse(complement(X_225)))),
inference(subst,[],[refute_0_881:[bind(X_224,$fot(X_225))]]) ).
cnf(refute_0_883,plain,
( top != complement(meet(converse(X_225),converse(complement(X_225))))
| complement(meet(converse(X_225),converse(complement(X_225)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(converse(X_225),converse(complement(X_225))))))]]) ).
cnf(refute_0_884,plain,
complement(meet(converse(X_225),converse(complement(X_225)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(converse(X_225),converse(complement(X_225))))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
( complement(meet(converse(X_225),converse(complement(X_225)))) != top
| meet(converse(X_225),converse(complement(X_225))) != complement(complement(meet(converse(X_225),converse(complement(X_225)))))
| meet(converse(X_225),converse(complement(X_225))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_225),converse(complement(X_225))),complement(complement(meet(converse(X_225),converse(complement(X_225)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_886,plain,
( meet(converse(X_225),converse(complement(X_225))) != complement(complement(meet(converse(X_225),converse(complement(X_225)))))
| meet(converse(X_225),converse(complement(X_225))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X_225),converse(complement(X_225)))),top) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
meet(converse(X_225),converse(complement(X_225))) = complement(top),
inference(resolve,[$cnf( $equal(meet(converse(X_225),converse(complement(X_225))),complement(complement(meet(converse(X_225),converse(complement(X_225)))))) )],[refute_0_785,refute_0_886]) ).
cnf(refute_0_888,plain,
( complement(top) != zero
| meet(converse(X_225),converse(complement(X_225))) != complement(top)
| meet(converse(X_225),converse(complement(X_225))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_225),converse(complement(X_225))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_889,plain,
( meet(converse(X_225),converse(complement(X_225))) != complement(top)
| meet(converse(X_225),converse(complement(X_225))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_888]) ).
cnf(refute_0_890,plain,
meet(converse(X_225),converse(complement(X_225))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_225),converse(complement(X_225))),complement(top)) )],[refute_0_887,refute_0_889]) ).
cnf(refute_0_891,plain,
meet(converse(A),converse(complement(A))) = zero,
inference(subst,[],[refute_0_890:[bind(X_225,$fot(A))]]) ).
cnf(refute_0_892,plain,
join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = join(complement(converse(A)),meet(converse(A),converse(complement(A)))),
introduced(tautology,[refl,[$fot(join(complement(converse(A)),meet(converse(A),converse(complement(A)))))]]) ).
cnf(refute_0_893,plain,
( join(complement(converse(A)),meet(converse(A),converse(complement(A)))) != join(complement(converse(A)),meet(converse(A),converse(complement(A))))
| meet(converse(A),converse(complement(A))) != zero
| join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = join(complement(converse(A)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(A)),meet(converse(A),converse(complement(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(A))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_894,plain,
( meet(converse(A),converse(complement(A))) != zero
| join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = join(complement(converse(A)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(A)),meet(converse(A),converse(complement(A)))),join(complement(converse(A)),meet(converse(A),converse(complement(A))))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = join(complement(converse(A)),zero),
inference(resolve,[$cnf( $equal(meet(converse(A),converse(complement(A))),zero) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(complement(converse(A)),meet(converse(A),converse(complement(A)))) != join(complement(converse(A)),zero)
| join(complement(converse(A)),zero) != complement(converse(A))
| join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = complement(converse(A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(A)),meet(converse(A),converse(complement(A)))))),bind(Y,$fot(join(complement(converse(A)),zero))),bind(Z,$fot(complement(converse(A))))]]) ).
cnf(refute_0_897,plain,
( join(complement(converse(A)),zero) != complement(converse(A))
| join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = complement(converse(A)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(A)),meet(converse(A),converse(complement(A)))),join(complement(converse(A)),zero)) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
join(complement(converse(A)),meet(converse(A),converse(complement(A)))) = complement(converse(A)),
inference(resolve,[$cnf( $equal(join(complement(converse(A)),zero),complement(converse(A))) )],[refute_0_784,refute_0_897]) ).
cnf(refute_0_899,plain,
( converse(complement(A)) != join(complement(converse(A)),meet(converse(A),converse(complement(A))))
| join(complement(converse(A)),meet(converse(A),converse(complement(A)))) != complement(converse(A))
| converse(complement(A)) = complement(converse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(A)),complement(converse(A))) ),[0],$fot(join(complement(converse(A)),meet(converse(A),converse(complement(A)))))]]) ).
cnf(refute_0_900,plain,
( converse(complement(A)) != join(complement(converse(A)),meet(converse(A),converse(complement(A))))
| converse(complement(A)) = complement(converse(A)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(A)),meet(converse(A),converse(complement(A)))),complement(converse(A))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
converse(complement(A)) = complement(converse(A)),
inference(resolve,[$cnf( $equal(converse(complement(A)),join(complement(converse(A)),meet(converse(A),converse(complement(A))))) )],[refute_0_762,refute_0_900]) ).
cnf(refute_0_902,plain,
converse(complement(converse(meet(X_439,X_440)))) = complement(converse(converse(meet(X_439,X_440)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(meet(X_439,X_440))))]]) ).
cnf(refute_0_903,plain,
( complement(converse(converse(meet(X_439,X_440)))) != complement(meet(X_439,X_440))
| converse(complement(converse(meet(X_439,X_440)))) != complement(converse(converse(meet(X_439,X_440))))
| converse(complement(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(meet(X_439,X_440)))))),bind(Y,$fot(complement(converse(converse(meet(X_439,X_440)))))),bind(Z,$fot(complement(meet(X_439,X_440))))]]) ).
cnf(refute_0_904,plain,
( complement(converse(converse(meet(X_439,X_440)))) != complement(meet(X_439,X_440))
| converse(complement(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(X_439,X_440)))),complement(converse(converse(meet(X_439,X_440))))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
converse(complement(converse(meet(X_439,X_440)))) = complement(meet(X_439,X_440)),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(X_439,X_440)))),complement(meet(X_439,X_440))) )],[refute_0_667,refute_0_904]) ).
cnf(refute_0_906,plain,
join(X_439,converse(complement(converse(meet(X_439,X_440))))) = join(X_439,converse(complement(converse(meet(X_439,X_440))))),
introduced(tautology,[refl,[$fot(join(X_439,converse(complement(converse(meet(X_439,X_440))))))]]) ).
cnf(refute_0_907,plain,
( converse(complement(converse(meet(X_439,X_440)))) != complement(meet(X_439,X_440))
| join(X_439,converse(complement(converse(meet(X_439,X_440))))) != join(X_439,converse(complement(converse(meet(X_439,X_440)))))
| join(X_439,converse(complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_439,converse(complement(converse(meet(X_439,X_440))))),join(X_439,converse(complement(converse(meet(X_439,X_440)))))) ),[1,1],$fot(complement(meet(X_439,X_440)))]]) ).
cnf(refute_0_908,plain,
( converse(complement(converse(meet(X_439,X_440)))) != complement(meet(X_439,X_440))
| join(X_439,converse(complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(resolve,[$cnf( $equal(join(X_439,converse(complement(converse(meet(X_439,X_440))))),join(X_439,converse(complement(converse(meet(X_439,X_440)))))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(X_439,converse(complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(X_439,X_440)))),complement(meet(X_439,X_440))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) = join(X_439,converse(complement(converse(meet(X_439,X_440))))),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_439)),bind(X_5,$fot(complement(converse(meet(X_439,X_440)))))]]) ).
cnf(refute_0_911,plain,
( converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) != join(X_439,converse(complement(converse(meet(X_439,X_440)))))
| join(X_439,converse(complement(converse(meet(X_439,X_440))))) != join(X_439,complement(meet(X_439,X_440)))
| converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))),bind(Y,$fot(join(X_439,converse(complement(converse(meet(X_439,X_440))))))),bind(Z,$fot(join(X_439,complement(meet(X_439,X_440)))))]]) ).
cnf(refute_0_912,plain,
( join(X_439,converse(complement(converse(meet(X_439,X_440))))) != join(X_439,complement(meet(X_439,X_440)))
| converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))),join(X_439,converse(complement(converse(meet(X_439,X_440)))))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) = join(X_439,complement(meet(X_439,X_440))),
inference(resolve,[$cnf( $equal(join(X_439,converse(complement(converse(meet(X_439,X_440))))),join(X_439,complement(meet(X_439,X_440)))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),
introduced(tautology,[refl,[$fot(join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))]]) ).
cnf(refute_0_915,plain,
( converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) != join(X_439,complement(meet(X_439,X_440)))
| join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))
| join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) ),[1,1],$fot(join(X_439,complement(meet(X_439,X_440))))]]) ).
cnf(refute_0_916,plain,
( converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))) != join(X_439,complement(meet(X_439,X_440)))
| join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))),join(X_439,complement(meet(X_439,X_440)))) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_919,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_920,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_920]) ).
cnf(refute_0_922,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_923,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_923]) ).
cnf(refute_0_925,plain,
join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))]]) ).
cnf(refute_0_926,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_927,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
( join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))
| join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(zero,join(X_439,complement(meet(X_439,X_440))))
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))),bind(Y,$fot(join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))),bind(Z,$fot(join(zero,join(X_439,complement(meet(X_439,X_440))))))]]) ).
cnf(refute_0_930,plain,
( join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(zero,join(X_439,complement(meet(X_439,X_440))))
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(zero,join(X_439,complement(meet(X_439,X_440)))),
inference(resolve,[$cnf( $equal(join(zero,converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(zero,join(X_439,complement(meet(X_439,X_440))))) )],[refute_0_917,refute_0_930]) ).
cnf(refute_0_932,plain,
( join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(zero,join(X_439,complement(meet(X_439,X_440))))
| join(zero,join(X_439,complement(meet(X_439,X_440)))) != join(X_439,complement(meet(X_439,X_440)))
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))),bind(Y,$fot(join(zero,join(X_439,complement(meet(X_439,X_440)))))),bind(Z,$fot(join(X_439,complement(meet(X_439,X_440)))))]]) ).
cnf(refute_0_933,plain,
( join(zero,join(X_439,complement(meet(X_439,X_440)))) != join(X_439,complement(meet(X_439,X_440)))
| join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(zero,join(X_439,complement(meet(X_439,X_440))))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) = join(X_439,complement(meet(X_439,X_440))),
inference(resolve,[$cnf( $equal(join(zero,join(X_439,complement(meet(X_439,X_440)))),join(X_439,complement(meet(X_439,X_440)))) )],[refute_0_662,refute_0_933]) ).
cnf(refute_0_935,plain,
converse(join(A,join(X_49,X_50))) = converse(join(join(X_49,X_50),A)),
inference(subst,[],[refute_0_293:[bind(B,$fot(join(X_49,X_50)))]]) ).
cnf(refute_0_936,plain,
( converse(join(A,join(X_49,X_50))) != converse(join(join(X_49,X_50),A))
| join(join(X_49,X_50),A) != join(X_49,join(X_50,A))
| converse(join(A,join(X_49,X_50))) = converse(join(X_49,join(X_50,A))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_49,X_50))),converse(join(join(X_49,X_50),A))) ),[1,0],$fot(join(X_49,join(X_50,A)))]]) ).
cnf(refute_0_937,plain,
( converse(join(A,join(X_49,X_50))) != converse(join(join(X_49,X_50),A))
| converse(join(A,join(X_49,X_50))) = converse(join(X_49,join(X_50,A))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,X_50),A),join(X_49,join(X_50,A))) )],[refute_0_376,refute_0_936]) ).
cnf(refute_0_938,plain,
converse(join(A,join(X_49,X_50))) = converse(join(X_49,join(X_50,A))),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_49,X_50))),converse(join(join(X_49,X_50),A))) )],[refute_0_935,refute_0_937]) ).
cnf(refute_0_939,plain,
converse(join(converse(X_13),join(X_346,X_347))) = converse(join(X_346,join(X_347,converse(X_13)))),
inference(subst,[],[refute_0_938:[bind(A,$fot(converse(X_13))),bind(X_49,$fot(X_346)),bind(X_50,$fot(X_347))]]) ).
cnf(refute_0_940,plain,
converse(join(converse(join(B,A)),X_13)) = join(join(B,A),converse(X_13)),
inference(subst,[],[refute_0_300:[bind(A,$fot(join(B,A))),bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_941,plain,
( converse(join(B,A)) != converse(join(A,B))
| converse(join(converse(join(B,A)),X_13)) != join(join(B,A),converse(X_13))
| converse(join(converse(join(A,B)),X_13)) = join(join(B,A),converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(B,A)),X_13)),join(join(B,A),converse(X_13))) ),[0,0,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_942,plain,
( converse(join(converse(join(B,A)),X_13)) != join(join(B,A),converse(X_13))
| converse(join(converse(join(A,B)),X_13)) = join(join(B,A),converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_310,refute_0_941]) ).
cnf(refute_0_943,plain,
converse(join(converse(join(A,B)),X_13)) = join(join(B,A),converse(X_13)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(B,A)),X_13)),join(join(B,A),converse(X_13))) )],[refute_0_940,refute_0_942]) ).
cnf(refute_0_944,plain,
join(join(A,B),converse(X_13)) = join(A,join(B,converse(X_13))),
inference(subst,[],[refute_0_33:[bind(C,$fot(converse(X_13)))]]) ).
cnf(refute_0_945,plain,
converse(join(converse(join(A,B)),X_13)) = join(join(A,B),converse(X_13)),
inference(subst,[],[refute_0_300:[bind(A,$fot(join(A,B))),bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_946,plain,
( converse(join(converse(join(A,B)),X_13)) != join(join(A,B),converse(X_13))
| join(join(A,B),converse(X_13)) != join(A,join(B,converse(X_13)))
| converse(join(converse(join(A,B)),X_13)) = join(A,join(B,converse(X_13))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(join(A,B)),X_13)))),bind(Y,$fot(join(join(A,B),converse(X_13)))),bind(Z,$fot(join(A,join(B,converse(X_13)))))]]) ).
cnf(refute_0_947,plain,
( join(join(A,B),converse(X_13)) != join(A,join(B,converse(X_13)))
| converse(join(converse(join(A,B)),X_13)) = join(A,join(B,converse(X_13))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(A,B)),X_13)),join(join(A,B),converse(X_13))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
converse(join(converse(join(A,B)),X_13)) = join(A,join(B,converse(X_13))),
inference(resolve,[$cnf( $equal(join(join(A,B),converse(X_13)),join(A,join(B,converse(X_13)))) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
( converse(join(converse(join(A,B)),X_13)) != join(A,join(B,converse(X_13)))
| converse(join(converse(join(A,B)),X_13)) != join(join(B,A),converse(X_13))
| join(A,join(B,converse(X_13))) = join(join(B,A),converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(A,B)),X_13)),join(join(B,A),converse(X_13))) ),[0],$fot(join(A,join(B,converse(X_13))))]]) ).
cnf(refute_0_950,plain,
( converse(join(converse(join(A,B)),X_13)) != join(join(B,A),converse(X_13))
| join(A,join(B,converse(X_13))) = join(join(B,A),converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(A,B)),X_13)),join(A,join(B,converse(X_13)))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
join(join(B,A),converse(X_13)) = join(B,join(A,converse(X_13))),
inference(subst,[],[refute_0_33:[bind(A,$fot(B)),bind(B,$fot(A)),bind(C,$fot(converse(X_13)))]]) ).
cnf(refute_0_952,plain,
( join(A,join(B,converse(X_13))) != join(join(B,A),converse(X_13))
| join(join(B,A),converse(X_13)) != join(B,join(A,converse(X_13)))
| join(A,join(B,converse(X_13))) = join(B,join(A,converse(X_13))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(B,converse(X_13))),join(B,join(A,converse(X_13)))) ),[0],$fot(join(join(B,A),converse(X_13)))]]) ).
cnf(refute_0_953,plain,
( join(A,join(B,converse(X_13))) != join(join(B,A),converse(X_13))
| join(A,join(B,converse(X_13))) = join(B,join(A,converse(X_13))) ),
inference(resolve,[$cnf( $equal(join(join(B,A),converse(X_13)),join(B,join(A,converse(X_13)))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
( converse(join(converse(join(A,B)),X_13)) != join(join(B,A),converse(X_13))
| join(A,join(B,converse(X_13))) = join(B,join(A,converse(X_13))) ),
inference(resolve,[$cnf( $equal(join(A,join(B,converse(X_13))),join(join(B,A),converse(X_13))) )],[refute_0_950,refute_0_953]) ).
cnf(refute_0_955,plain,
join(A,join(B,converse(X_13))) = join(B,join(A,converse(X_13))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(A,B)),X_13)),join(join(B,A),converse(X_13))) )],[refute_0_943,refute_0_954]) ).
cnf(refute_0_956,plain,
join(X_347,join(X_346,converse(X_13))) = join(X_346,join(X_347,converse(X_13))),
inference(subst,[],[refute_0_955:[bind(A,$fot(X_347)),bind(B,$fot(X_346))]]) ).
cnf(refute_0_957,plain,
( join(X_347,join(X_346,converse(X_13))) != join(X_346,join(X_347,converse(X_13)))
| join(X_346,join(X_347,converse(X_13))) = join(X_347,join(X_346,converse(X_13))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_347,join(X_346,converse(X_13))))),bind(Y,$fot(join(X_346,join(X_347,converse(X_13)))))]]) ).
cnf(refute_0_958,plain,
join(X_346,join(X_347,converse(X_13))) = join(X_347,join(X_346,converse(X_13))),
inference(resolve,[$cnf( $equal(join(X_347,join(X_346,converse(X_13))),join(X_346,join(X_347,converse(X_13)))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
( converse(join(converse(X_13),join(X_346,X_347))) != converse(join(X_346,join(X_347,converse(X_13))))
| join(X_346,join(X_347,converse(X_13))) != join(X_347,join(X_346,converse(X_13)))
| converse(join(converse(X_13),join(X_346,X_347))) = converse(join(X_347,join(X_346,converse(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_13),join(X_346,X_347))),converse(join(X_346,join(X_347,converse(X_13))))) ),[1,0],$fot(join(X_347,join(X_346,converse(X_13))))]]) ).
cnf(refute_0_960,plain,
( converse(join(converse(X_13),join(X_346,X_347))) != converse(join(X_346,join(X_347,converse(X_13))))
| converse(join(converse(X_13),join(X_346,X_347))) = converse(join(X_347,join(X_346,converse(X_13)))) ),
inference(resolve,[$cnf( $equal(join(X_346,join(X_347,converse(X_13))),join(X_347,join(X_346,converse(X_13)))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
converse(join(converse(X_13),join(X_346,X_347))) = converse(join(X_347,join(X_346,converse(X_13)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_13),join(X_346,X_347))),converse(join(X_346,join(X_347,converse(X_13))))) )],[refute_0_939,refute_0_960]) ).
cnf(refute_0_962,plain,
converse(join(converse(X_13),join(X_346,X_347))) = join(X_13,converse(join(X_346,X_347))),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_13)),bind(X_5,$fot(join(X_346,X_347)))]]) ).
cnf(refute_0_963,plain,
( converse(join(converse(X_13),join(X_346,X_347))) != converse(join(X_347,join(X_346,converse(X_13))))
| converse(join(converse(X_13),join(X_346,X_347))) != join(X_13,converse(join(X_346,X_347)))
| join(X_13,converse(join(X_346,X_347))) = converse(join(X_347,join(X_346,converse(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_13),join(X_346,X_347))),converse(join(X_347,join(X_346,converse(X_13))))) ),[0],$fot(join(X_13,converse(join(X_346,X_347))))]]) ).
cnf(refute_0_964,plain,
( converse(join(converse(X_13),join(X_346,X_347))) != converse(join(X_347,join(X_346,converse(X_13))))
| join(X_13,converse(join(X_346,X_347))) = converse(join(X_347,join(X_346,converse(X_13)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_13),join(X_346,X_347))),join(X_13,converse(join(X_346,X_347)))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
converse(join(X_347,join(X_346,converse(X_13)))) = join(converse(join(X_347,X_346)),X_13),
inference(subst,[],[refute_0_563:[bind(A,$fot(X_13)),bind(X_49,$fot(X_347)),bind(X_50,$fot(X_346))]]) ).
cnf(refute_0_966,plain,
( converse(join(X_347,join(X_346,converse(X_13)))) != join(converse(join(X_347,X_346)),X_13)
| join(X_13,converse(join(X_346,X_347))) != converse(join(X_347,join(X_346,converse(X_13))))
| join(X_13,converse(join(X_346,X_347))) = join(converse(join(X_347,X_346)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_13,converse(join(X_346,X_347))),converse(join(X_347,join(X_346,converse(X_13))))) ),[1],$fot(join(converse(join(X_347,X_346)),X_13))]]) ).
cnf(refute_0_967,plain,
( join(X_13,converse(join(X_346,X_347))) != converse(join(X_347,join(X_346,converse(X_13))))
| join(X_13,converse(join(X_346,X_347))) = join(converse(join(X_347,X_346)),X_13) ),
inference(resolve,[$cnf( $equal(converse(join(X_347,join(X_346,converse(X_13)))),join(converse(join(X_347,X_346)),X_13)) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
( converse(join(converse(X_13),join(X_346,X_347))) != converse(join(X_347,join(X_346,converse(X_13))))
| join(X_13,converse(join(X_346,X_347))) = join(converse(join(X_347,X_346)),X_13) ),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(X_346,X_347))),converse(join(X_347,join(X_346,converse(X_13))))) )],[refute_0_964,refute_0_967]) ).
cnf(refute_0_969,plain,
join(X_13,converse(join(X_346,X_347))) = join(converse(join(X_347,X_346)),X_13),
inference(resolve,[$cnf( $equal(converse(join(converse(X_13),join(X_346,X_347))),converse(join(X_347,join(X_346,converse(X_13))))) )],[refute_0_961,refute_0_968]) ).
cnf(refute_0_970,plain,
( join(X_13,converse(join(X_346,X_347))) != join(converse(join(X_347,X_346)),X_13)
| join(converse(join(X_347,X_346)),X_13) = join(X_13,converse(join(X_346,X_347))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_13,converse(join(X_346,X_347))))),bind(Y,$fot(join(converse(join(X_347,X_346)),X_13)))]]) ).
cnf(refute_0_971,plain,
join(converse(join(X_347,X_346)),X_13) = join(X_13,converse(join(X_346,X_347))),
inference(resolve,[$cnf( $equal(join(X_13,converse(join(X_346,X_347))),join(converse(join(X_347,X_346)),X_13)) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),
inference(subst,[],[refute_0_971:[bind(X_13,$fot(complement(converse(top)))),bind(X_346,$fot(converse(X_439))),bind(X_347,$fot(complement(converse(meet(X_439,X_440)))))]]) ).
cnf(refute_0_973,plain,
( join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(X_439,complement(meet(X_439,X_440)))
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) != join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))))),bind(Y,$fot(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))))),bind(Z,$fot(join(X_439,complement(meet(X_439,X_440)))))]]) ).
cnf(refute_0_974,plain,
( join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))) != join(X_439,complement(meet(X_439,X_440)))
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = join(X_439,complement(meet(X_439,X_440))) ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))),join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440))))))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) = join(X_439,complement(meet(X_439,X_440))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_439),complement(converse(meet(X_439,X_440)))))),join(X_439,complement(meet(X_439,X_440)))) )],[refute_0_934,refute_0_974]) ).
cnf(refute_0_976,plain,
( join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) != join(X_439,complement(meet(X_439,X_440)))
| join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) != top
| join(X_439,complement(meet(X_439,X_440))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))),top) ),[0],$fot(join(X_439,complement(meet(X_439,X_440))))]]) ).
cnf(refute_0_977,plain,
( join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))) != top
| join(X_439,complement(meet(X_439,X_440))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))),join(X_439,complement(meet(X_439,X_440)))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
join(X_439,complement(meet(X_439,X_440))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_439,X_440))),converse(X_439))),complement(converse(top))),top) )],[refute_0_661,refute_0_977]) ).
cnf(refute_0_979,plain,
join(join(complement(sk1),converse(sk1)),complement(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))))) = top,
inference(subst,[],[refute_0_978:[bind(X_439,$fot(join(complement(sk1),converse(sk1)))),bind(X_440,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_980,plain,
X_108 = meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))))),
inference(subst,[],[refute_0_221:[bind(X_27,$fot(converse(join(one,complement(converse(join(one,complement(X_108)))))))),bind(X_87,$fot(X_108))]]) ).
cnf(refute_0_981,plain,
X_87 = join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(converse(join(one,complement(converse(join(one,complement(X_87))))))))]]) ).
cnf(refute_0_982,plain,
converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))),
inference(subst,[],[refute_0_599:[bind(B,$fot(complement(converse(join(one,X_5))))),bind(X_10,$fot(one)),bind(X_11,$fot(converse(X_5)))]]) ).
cnf(refute_0_983,plain,
top = join(one,join(converse(X_5),complement(join(one,converse(X_5))))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(one)),bind(X_50,$fot(converse(X_5)))]]) ).
cnf(refute_0_984,plain,
( join(one,converse(X_5)) != converse(join(one,X_5))
| top != join(one,join(converse(X_5),complement(join(one,converse(X_5)))))
| top = join(one,join(converse(X_5),complement(converse(join(one,X_5))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(converse(X_5),complement(join(one,converse(X_5)))))) ),[1,1,1,0],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_985,plain,
( top != join(one,join(converse(X_5),complement(join(one,converse(X_5)))))
| top = join(one,join(converse(X_5),complement(converse(join(one,X_5))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_458,refute_0_984]) ).
cnf(refute_0_986,plain,
top = join(one,join(converse(X_5),complement(converse(join(one,X_5))))),
inference(resolve,[$cnf( $equal(top,join(one,join(converse(X_5),complement(join(one,converse(X_5)))))) )],[refute_0_983,refute_0_985]) ).
cnf(refute_0_987,plain,
( top != join(one,join(converse(X_5),complement(converse(join(one,X_5)))))
| join(one,join(converse(X_5),complement(converse(join(one,X_5))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))))]]) ).
cnf(refute_0_988,plain,
join(one,join(converse(X_5),complement(converse(join(one,X_5))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
( converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| join(one,join(converse(X_5),complement(converse(join(one,X_5))))) != top
| converse(top) = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))),converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_990,plain,
( converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| converse(top) = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_5),complement(converse(join(one,X_5))))),top) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
converse(top) = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))),converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) )],[refute_0_982,refute_0_990]) ).
cnf(refute_0_992,plain,
( converse(top) != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| converse(top) != top
| top = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_993,plain,
( converse(top) != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| top = converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_992]) ).
cnf(refute_0_994,plain,
converse(join(converse(A),join(X_65,X_63))) = join(A,converse(join(X_65,X_63))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(join(X_65,X_63)))]]) ).
cnf(refute_0_995,plain,
converse(join(converse(A),join(X_65,X_63))) = converse(join(X_65,join(converse(A),X_63))),
inference(subst,[],[refute_0_599:[bind(B,$fot(X_63)),bind(X_10,$fot(converse(A))),bind(X_11,$fot(X_65))]]) ).
cnf(refute_0_996,plain,
( converse(join(converse(A),join(X_65,X_63))) != converse(join(X_65,join(converse(A),X_63)))
| converse(join(converse(A),join(X_65,X_63))) != join(A,converse(join(X_65,X_63)))
| converse(join(X_65,join(converse(A),X_63))) = join(A,converse(join(X_65,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_65,X_63))),join(A,converse(join(X_65,X_63)))) ),[0],$fot(converse(join(X_65,join(converse(A),X_63))))]]) ).
cnf(refute_0_997,plain,
( converse(join(converse(A),join(X_65,X_63))) != join(A,converse(join(X_65,X_63)))
| converse(join(X_65,join(converse(A),X_63))) = join(A,converse(join(X_65,X_63))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_65,X_63))),converse(join(X_65,join(converse(A),X_63)))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
converse(join(X_65,join(converse(A),X_63))) = join(A,converse(join(X_65,X_63))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_65,X_63))),join(A,converse(join(X_65,X_63)))) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))),
inference(subst,[],[refute_0_998:[bind(A,$fot(X_5)),bind(X_63,$fot(complement(converse(join(one,X_5))))),bind(X_65,$fot(one))]]) ).
cnf(refute_0_1000,plain,
converse(join(join(X_65,X_63),B)) = converse(join(B,join(X_65,X_63))),
inference(subst,[],[refute_0_293:[bind(A,$fot(join(X_65,X_63)))]]) ).
cnf(refute_0_1001,plain,
converse(join(B,join(X_65,X_63))) = converse(join(X_65,join(B,X_63))),
inference(subst,[],[refute_0_599:[bind(B,$fot(X_63)),bind(X_10,$fot(B)),bind(X_11,$fot(X_65))]]) ).
cnf(refute_0_1002,plain,
( converse(join(B,join(X_65,X_63))) != converse(join(X_65,join(B,X_63)))
| converse(join(join(X_65,X_63),B)) != converse(join(B,join(X_65,X_63)))
| converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(B,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(B,join(X_65,X_63)))) ),[1],$fot(converse(join(X_65,join(B,X_63))))]]) ).
cnf(refute_0_1003,plain,
( converse(join(join(X_65,X_63),B)) != converse(join(B,join(X_65,X_63)))
| converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(B,X_63))) ),
inference(resolve,[$cnf( $equal(converse(join(B,join(X_65,X_63))),converse(join(X_65,join(B,X_63)))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(B,X_63))),
inference(resolve,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(B,join(X_65,X_63)))) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
join(join(X_65,X_63),B) = join(X_65,join(X_63,B)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_65)),bind(B,$fot(X_63)),bind(C,$fot(B))]]) ).
cnf(refute_0_1006,plain,
converse(join(join(X_65,X_63),B)) = converse(join(join(X_65,X_63),B)),
introduced(tautology,[refl,[$fot(converse(join(join(X_65,X_63),B)))]]) ).
cnf(refute_0_1007,plain,
( converse(join(join(X_65,X_63),B)) != converse(join(join(X_65,X_63),B))
| join(join(X_65,X_63),B) != join(X_65,join(X_63,B))
| converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(X_63,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(join(X_65,X_63),B))) ),[1,0],$fot(join(X_65,join(X_63,B)))]]) ).
cnf(refute_0_1008,plain,
( join(join(X_65,X_63),B) != join(X_65,join(X_63,B))
| converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(X_63,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(join(X_65,X_63),B))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
converse(join(join(X_65,X_63),B)) = converse(join(X_65,join(X_63,B))),
inference(resolve,[$cnf( $equal(join(join(X_65,X_63),B),join(X_65,join(X_63,B))) )],[refute_0_1005,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( converse(join(join(X_65,X_63),B)) != converse(join(X_65,join(B,X_63)))
| converse(join(join(X_65,X_63),B)) != converse(join(X_65,join(X_63,B)))
| converse(join(X_65,join(X_63,B))) = converse(join(X_65,join(B,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(X_65,join(B,X_63)))) ),[0],$fot(converse(join(X_65,join(X_63,B))))]]) ).
cnf(refute_0_1011,plain,
( converse(join(join(X_65,X_63),B)) != converse(join(X_65,join(B,X_63)))
| converse(join(X_65,join(X_63,B))) = converse(join(X_65,join(B,X_63))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(X_65,join(X_63,B)))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
converse(join(X_65,join(X_63,B))) = converse(join(X_65,join(B,X_63))),
inference(resolve,[$cnf( $equal(converse(join(join(X_65,X_63),B)),converse(join(X_65,join(B,X_63)))) )],[refute_0_1004,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( converse(join(X_65,join(X_63,B))) != converse(join(X_65,join(B,X_63)))
| converse(join(X_65,join(B,X_63))) = converse(join(X_65,join(X_63,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_65,join(X_63,B))))),bind(Y,$fot(converse(join(X_65,join(B,X_63)))))]]) ).
cnf(refute_0_1014,plain,
converse(join(X_65,join(B,X_63))) = converse(join(X_65,join(X_63,B))),
inference(resolve,[$cnf( $equal(converse(join(X_65,join(X_63,B))),converse(join(X_65,join(B,X_63)))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) = converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))),
inference(subst,[],[refute_0_1014:[bind(B,$fot(complement(converse(join(one,X_5))))),bind(X_63,$fot(converse(X_5))),bind(X_65,$fot(one))]]) ).
cnf(refute_0_1016,plain,
( converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) != converse(join(one,join(converse(X_5),complement(converse(join(one,X_5))))))
| converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) != join(X_5,converse(join(one,complement(converse(join(one,X_5))))))
| converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))))),bind(Y,$fot(converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))))),bind(Z,$fot(join(X_5,converse(join(one,complement(converse(join(one,X_5))))))))]]) ).
cnf(refute_0_1017,plain,
( converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))) != join(X_5,converse(join(one,complement(converse(join(one,X_5))))))
| converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))),converse(join(one,join(converse(X_5),complement(converse(join(one,X_5))))))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_5),complement(converse(join(one,X_5)))))),join(X_5,converse(join(one,complement(converse(join(one,X_5))))))) )],[refute_0_999,refute_0_1017]) ).
cnf(refute_0_1019,plain,
converse(join(X_64,join(X_65,X_63))) = converse(join(X_65,join(X_64,X_63))),
inference(subst,[],[refute_0_599:[bind(B,$fot(X_63)),bind(X_10,$fot(X_64)),bind(X_11,$fot(X_65))]]) ).
cnf(refute_0_1020,plain,
join(X_63,X_65) = join(X_65,X_63),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_63)),bind(B,$fot(X_65))]]) ).
cnf(refute_0_1021,plain,
( join(X_63,X_65) != join(X_65,X_63)
| join(X_65,X_63) = join(X_63,X_65) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_63,X_65))),bind(Y,$fot(join(X_65,X_63)))]]) ).
cnf(refute_0_1022,plain,
join(X_65,X_63) = join(X_63,X_65),
inference(resolve,[$cnf( $equal(join(X_63,X_65),join(X_65,X_63)) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( converse(join(X_64,join(X_65,X_63))) != converse(join(X_65,join(X_64,X_63)))
| join(X_65,X_63) != join(X_63,X_65)
| converse(join(X_64,join(X_63,X_65))) = converse(join(X_65,join(X_64,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,join(X_65,X_63))),converse(join(X_65,join(X_64,X_63)))) ),[0,0,1],$fot(join(X_63,X_65))]]) ).
cnf(refute_0_1024,plain,
( converse(join(X_64,join(X_65,X_63))) != converse(join(X_65,join(X_64,X_63)))
| converse(join(X_64,join(X_63,X_65))) = converse(join(X_65,join(X_64,X_63))) ),
inference(resolve,[$cnf( $equal(join(X_65,X_63),join(X_63,X_65)) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
converse(join(X_64,join(X_63,X_65))) = converse(join(X_65,join(X_64,X_63))),
inference(resolve,[$cnf( $equal(converse(join(X_64,join(X_65,X_63))),converse(join(X_65,join(X_64,X_63)))) )],[refute_0_1019,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( converse(join(X_64,join(X_63,X_65))) != converse(join(X_65,join(X_64,X_63)))
| converse(join(X_65,join(X_64,X_63))) = converse(join(X_64,join(X_63,X_65))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_64,join(X_63,X_65))))),bind(Y,$fot(converse(join(X_65,join(X_64,X_63)))))]]) ).
cnf(refute_0_1027,plain,
converse(join(X_65,join(X_64,X_63))) = converse(join(X_64,join(X_63,X_65))),
inference(resolve,[$cnf( $equal(converse(join(X_64,join(X_63,X_65))),converse(join(X_65,join(X_64,X_63)))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) = converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))),
inference(subst,[],[refute_0_1027:[bind(X_63,$fot(complement(converse(join(one,X_5))))),bind(X_64,$fot(one)),bind(X_65,$fot(converse(X_5)))]]) ).
cnf(refute_0_1029,plain,
( converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) != converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5))))
| converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) != join(X_5,converse(join(one,complement(converse(join(one,X_5))))))
| converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))))),bind(Y,$fot(converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))))),bind(Z,$fot(join(X_5,converse(join(one,complement(converse(join(one,X_5))))))))]]) ).
cnf(refute_0_1030,plain,
( converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))) != join(X_5,converse(join(one,complement(converse(join(one,X_5))))))
| converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))),converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5))))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(join(one,X_5))),converse(X_5)))),join(X_5,converse(join(one,complement(converse(join(one,X_5))))))) )],[refute_0_1018,refute_0_1030]) ).
cnf(refute_0_1032,plain,
( converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))) != join(X_5,converse(join(one,complement(converse(join(one,X_5))))))
| top != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| top = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) ),[1],$fot(join(X_5,converse(join(one,complement(converse(join(one,X_5)))))))]]) ).
cnf(refute_0_1033,plain,
( top != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| top = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_5),join(one,complement(converse(join(one,X_5)))))),join(X_5,converse(join(one,complement(converse(join(one,X_5))))))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( converse(top) != converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))
| top = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))) ),
inference(resolve,[$cnf( $equal(top,converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) )],[refute_0_993,refute_0_1033]) ).
cnf(refute_0_1035,plain,
top = join(X_5,converse(join(one,complement(converse(join(one,X_5)))))),
inference(resolve,[$cnf( $equal(converse(top),converse(join(converse(X_5),join(one,complement(converse(join(one,X_5))))))) )],[refute_0_991,refute_0_1034]) ).
cnf(refute_0_1036,plain,
top = join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))),
inference(subst,[],[refute_0_1035:[bind(X_5,$fot(complement(X_87)))]]) ).
cnf(refute_0_1037,plain,
( top != join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))
| join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))))]]) ).
cnf(refute_0_1038,plain,
join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
( X_87 != join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))))
| join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))) != top
| X_87 = join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1040,plain,
( X_87 != join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))))
| X_87 = join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87))))))),top) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
X_87 = join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(join(complement(X_87),converse(join(one,complement(converse(join(one,complement(X_87)))))))))) )],[refute_0_981,refute_0_1040]) ).
cnf(refute_0_1042,plain,
join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) = join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))))]]) ).
cnf(refute_0_1043,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) != join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1044,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) = join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))))]]) ).
cnf(refute_0_1047,plain,
( join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) != join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) != join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))))),bind(Z,$fot(join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))))]]) ).
cnf(refute_0_1048,plain,
( join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) != join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)),join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) )],[refute_0_1045,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( X_87 != join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top))
| join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)) != join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| X_87 = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) ),[0],$fot(join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)))]]) ).
cnf(refute_0_1051,plain,
( X_87 != join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top))
| X_87 = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top)),join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
X_87 = join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),complement(top))) )],[refute_0_1041,refute_0_1051]) ).
cnf(refute_0_1053,plain,
join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) = meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))))]]) ).
cnf(refute_0_1054,plain,
( X_87 != join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) != meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))
| X_87 = meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) ),[0],$fot(join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))))]]) ).
cnf(refute_0_1055,plain,
( X_87 != join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))
| X_87 = meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))),meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87)))))))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
X_87 = meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,converse(join(one,complement(converse(join(one,complement(X_87))))))))) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
X_108 = meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))),
inference(subst,[],[refute_0_1056:[bind(X_87,$fot(X_108))]]) ).
cnf(refute_0_1058,plain,
( X_108 != meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))
| meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))) = X_108 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_108)),bind(Y,$fot(meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))))]]) ).
cnf(refute_0_1059,plain,
meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))) = X_108,
inference(resolve,[$cnf( $equal(X_108,meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( X_108 != meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))))
| meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))) != X_108
| X_108 = meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(X_108,meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))))) ),[1,1,1],$fot(X_108)]]) ).
cnf(refute_0_1061,plain,
( X_108 != meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))))
| X_108 = meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) ),
inference(resolve,[$cnf( $equal(meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
X_108 = meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)),
inference(resolve,[$cnf( $equal(X_108,meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),meet(X_108,converse(join(one,complement(converse(join(one,complement(X_108)))))))))) )],[refute_0_980,refute_0_1061]) ).
cnf(refute_0_1063,plain,
join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108) = join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_108)),bind(B,$fot(complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))))]]) ).
cnf(refute_0_1064,plain,
meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) = meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)),
introduced(tautology,[refl,[$fot(meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)))]]) ).
cnf(refute_0_1065,plain,
( join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108) != join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))
| meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) != meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))
| meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)),meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))) ),[1,1],$fot(join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))))]]) ).
cnf(refute_0_1066,plain,
( join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108) != join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))
| meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))) ),
inference(resolve,[$cnf( $equal(meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)),meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108),join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( X_108 != meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))
| meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)) != meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))))
| X_108 = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_108,meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))))) ),[0],$fot(meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)))]]) ).
cnf(refute_0_1069,plain,
( X_108 != meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))
| X_108 = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))) ),
inference(resolve,[$cnf( $equal(meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108)),meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108)))))))))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
X_108 = meet(X_108,join(X_108,complement(converse(join(one,complement(converse(join(one,complement(X_108))))))))),
inference(resolve,[$cnf( $equal(X_108,meet(X_108,join(complement(converse(join(one,complement(converse(join(one,complement(X_108))))))),X_108))) )],[refute_0_1062,refute_0_1069]) ).
cnf(refute_0_1071,plain,
join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))))))))),
inference(subst,[],[refute_0_1070:[bind(X_108,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_1072,plain,
X_87 = join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(join(complement(X_87),composition(converse(A),complement(composition(A,X_87)))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(composition(converse(A),complement(composition(A,X_87)))))]]) ).
cnf(refute_0_1073,plain,
join(complement(X_87),composition(converse(A),complement(composition(A,X_87)))) = complement(X_87),
inference(subst,[],[refute_0_83:[bind(B,$fot(X_87))]]) ).
cnf(refute_0_1074,plain,
( X_87 != join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(join(complement(X_87),composition(converse(A),complement(composition(A,X_87))))))
| join(complement(X_87),composition(converse(A),complement(composition(A,X_87)))) != complement(X_87)
| X_87 = join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(join(complement(X_87),composition(converse(A),complement(composition(A,X_87))))))) ),[1,1,0],$fot(complement(X_87))]]) ).
cnf(refute_0_1075,plain,
( X_87 != join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(join(complement(X_87),composition(converse(A),complement(composition(A,X_87))))))
| X_87 = join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),composition(converse(A),complement(composition(A,X_87)))),complement(X_87)) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
X_87 = join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(join(complement(X_87),composition(converse(A),complement(composition(A,X_87))))))) )],[refute_0_1072,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))) = join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(complement(X_87)))),bind(B,$fot(meet(X_87,composition(converse(A),complement(composition(A,X_87))))))]]) ).
cnf(refute_0_1078,plain,
( X_87 != join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87)))
| join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))) != join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))
| X_87 = join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) ),[0],$fot(join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))))]]) ).
cnf(refute_0_1079,plain,
( X_87 != join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87)))
| X_87 = join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87))),join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
X_87 = join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,composition(converse(A),complement(composition(A,X_87)))),complement(complement(X_87)))) )],[refute_0_1076,refute_0_1079]) ).
cnf(refute_0_1081,plain,
complement(complement(X_87)) = X_87,
inference(subst,[],[refute_0_710:[bind(B,$fot(X_87))]]) ).
cnf(refute_0_1082,plain,
join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) = join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))))]]) ).
cnf(refute_0_1083,plain,
( complement(complement(X_87)) != X_87
| join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) != join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))
| join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) ),[1,0],$fot(X_87)]]) ).
cnf(refute_0_1084,plain,
( complement(complement(X_87)) != X_87
| join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))),
inference(resolve,[$cnf( $equal(complement(complement(X_87)),X_87) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( X_87 != join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))
| join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))) != join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87)))))
| X_87 = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) ),[0],$fot(join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))))]]) ).
cnf(refute_0_1087,plain,
( X_87 != join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))
| X_87 = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87))))),join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
X_87 = join(X_87,meet(X_87,composition(converse(A),complement(composition(A,X_87))))),
inference(resolve,[$cnf( $equal(X_87,join(complement(complement(X_87)),meet(X_87,composition(converse(A),complement(composition(A,X_87)))))) )],[refute_0_1080,refute_0_1087]) ).
cnf(refute_0_1089,plain,
X_185 = join(X_185,meet(X_185,composition(converse(top),complement(composition(top,X_185))))),
inference(subst,[],[refute_0_1088:[bind(A,$fot(top)),bind(X_87,$fot(X_185))]]) ).
cnf(refute_0_1090,plain,
( X_185 != join(X_185,meet(X_185,composition(converse(top),complement(composition(top,X_185)))))
| converse(top) != top
| X_185 = join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_185,join(X_185,meet(X_185,composition(converse(top),complement(composition(top,X_185)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_1091,plain,
( X_185 != join(X_185,meet(X_185,composition(converse(top),complement(composition(top,X_185)))))
| X_185 = join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1090]) ).
cnf(refute_0_1092,plain,
X_185 = join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))),
inference(resolve,[$cnf( $equal(X_185,join(X_185,meet(X_185,composition(converse(top),complement(composition(top,X_185)))))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,composition(top,X_228))))) = complement(composition(top,X_228)),
inference(subst,[],[refute_0_83:[bind(A,$fot(top)),bind(B,$fot(composition(top,X_228)))]]) ).
cnf(refute_0_1094,plain,
composition(top,composition(top,C)) = composition(composition(top,top),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(top)),bind(B,$fot(top))]]) ).
cnf(refute_0_1095,plain,
join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(composition(X_41,X_42),B)))) = complement(B),
inference(subst,[],[refute_0_83:[bind(A,$fot(composition(X_41,X_42)))]]) ).
cnf(refute_0_1096,plain,
composition(X_41,composition(X_42,B)) = composition(composition(X_41,X_42),B),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_41)),bind(B,$fot(X_42)),bind(C,$fot(B))]]) ).
cnf(refute_0_1097,plain,
( composition(X_41,composition(X_42,B)) != composition(composition(X_41,X_42),B)
| composition(composition(X_41,X_42),B) = composition(X_41,composition(X_42,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_41,composition(X_42,B)))),bind(Y,$fot(composition(composition(X_41,X_42),B)))]]) ).
cnf(refute_0_1098,plain,
composition(composition(X_41,X_42),B) = composition(X_41,composition(X_42,B)),
inference(resolve,[$cnf( $equal(composition(X_41,composition(X_42,B)),composition(composition(X_41,X_42),B)) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( composition(composition(X_41,X_42),B) != composition(X_41,composition(X_42,B))
| join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(composition(X_41,X_42),B)))) != complement(B)
| join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(X_41,composition(X_42,B))))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(composition(X_41,X_42),B)))),complement(B)) ),[0,1,1,0],$fot(composition(X_41,composition(X_42,B)))]]) ).
cnf(refute_0_1100,plain,
( join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(composition(X_41,X_42),B)))) != complement(B)
| join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(X_41,composition(X_42,B))))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(composition(X_41,X_42),B),composition(X_41,composition(X_42,B))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(X_41,composition(X_42,B))))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(X_41,X_42)),complement(composition(composition(X_41,X_42),B)))),complement(B)) )],[refute_0_1095,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,composition(top,complement(composition(top,top))))))) = complement(complement(composition(top,top))),
inference(subst,[],[refute_0_1101:[bind(B,$fot(complement(composition(top,top)))),bind(X_41,$fot(X_119)),bind(X_42,$fot(top))]]) ).
cnf(refute_0_1103,plain,
join(complement(top),composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(subst,[],[refute_0_83:[bind(B,$fot(top))]]) ).
cnf(refute_0_1104,plain,
( complement(top) != zero
| join(complement(top),composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(A),complement(composition(A,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1105,plain,
( join(complement(top),composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1104]) ).
cnf(refute_0_1106,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_1103,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( complement(top) != zero
| join(zero,composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1108,plain,
( join(zero,composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1107]) ).
cnf(refute_0_1109,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_1106,refute_0_1108]) ).
cnf(refute_0_1110,plain,
join(zero,composition(converse(top),complement(composition(top,top)))) = zero,
inference(subst,[],[refute_0_1109:[bind(A,$fot(top))]]) ).
cnf(refute_0_1111,plain,
( converse(top) != top
| join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_1112,plain,
( join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1111]) ).
cnf(refute_0_1113,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) )],[refute_0_1110,refute_0_1112]) ).
cnf(refute_0_1114,plain,
join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_1115,plain,
( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
| join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_1116,plain,
( join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_1113,refute_0_1116]) ).
cnf(refute_0_1118,plain,
( composition(top,complement(composition(top,top))) != zero
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,composition(top,complement(composition(top,top))))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,composition(top,complement(composition(top,top))))))),complement(complement(composition(top,top)))) ),[0,1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_1119,plain,
( join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,composition(top,complement(composition(top,top))))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = complement(complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,composition(top,complement(composition(top,top))))))),complement(complement(composition(top,top)))) )],[refute_0_1102,refute_0_1119]) ).
cnf(refute_0_1121,plain,
complement(complement(composition(top,top))) = composition(top,top),
inference(subst,[],[refute_0_710:[bind(B,$fot(composition(top,top)))]]) ).
cnf(refute_0_1122,plain,
join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1123,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero))))
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero))))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1124,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero))))) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1121,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero))))
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),complement(complement(composition(top,top)))) ),[0],$fot(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1127,plain,
( join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero))))) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),complement(complement(composition(top,top)))) ),[1],$fot(composition(top,top))]]) ).
cnf(refute_0_1129,plain,
( join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1121,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),complement(complement(composition(top,top)))) )],[refute_0_1127,refute_0_1129]) ).
cnf(refute_0_1131,plain,
join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = composition(top,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),complement(complement(composition(top,top)))) )],[refute_0_1120,refute_0_1130]) ).
cnf(refute_0_1132,plain,
join(X_49,join(converse(complement(converse(X_49))),X_51)) = join(join(X_49,converse(complement(converse(X_49)))),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_49)),bind(B,$fot(converse(complement(converse(X_49))))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_1133,plain,
converse(top) = join(X_49,converse(complement(converse(X_49)))),
inference(subst,[],[refute_0_307:[bind(X_12,$fot(X_49))]]) ).
cnf(refute_0_1134,plain,
( converse(top) != join(X_49,converse(complement(converse(X_49))))
| join(X_49,converse(complement(converse(X_49)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_49,converse(complement(converse(X_49))))))]]) ).
cnf(refute_0_1135,plain,
join(X_49,converse(complement(converse(X_49)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_49,converse(complement(converse(X_49))))) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( join(X_49,converse(complement(converse(X_49)))) != converse(top)
| join(X_49,join(converse(complement(converse(X_49))),X_51)) != join(join(X_49,converse(complement(converse(X_49)))),X_51)
| join(X_49,join(converse(complement(converse(X_49))),X_51)) = join(converse(top),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(converse(complement(converse(X_49))),X_51)),join(join(X_49,converse(complement(converse(X_49)))),X_51)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1137,plain,
( join(X_49,join(converse(complement(converse(X_49))),X_51)) != join(join(X_49,converse(complement(converse(X_49)))),X_51)
| join(X_49,join(converse(complement(converse(X_49))),X_51)) = join(converse(top),X_51) ),
inference(resolve,[$cnf( $equal(join(X_49,converse(complement(converse(X_49)))),converse(top)) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(X_49,join(converse(complement(converse(X_49))),X_51)) = join(converse(top),X_51),
inference(resolve,[$cnf( $equal(join(X_49,join(converse(complement(converse(X_49))),X_51)),join(join(X_49,converse(complement(converse(X_49)))),X_51)) )],[refute_0_1132,refute_0_1137]) ).
cnf(refute_0_1139,plain,
join(top,X_51) = top,
inference(subst,[],[refute_0_527:[bind(X_49,$fot(X_51))]]) ).
cnf(refute_0_1140,plain,
join(converse(top),X_51) = join(converse(top),X_51),
introduced(tautology,[refl,[$fot(join(converse(top),X_51))]]) ).
cnf(refute_0_1141,plain,
( converse(top) != top
| join(converse(top),X_51) != join(converse(top),X_51)
| join(converse(top),X_51) = join(top,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_51),join(converse(top),X_51)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1142,plain,
( converse(top) != top
| join(converse(top),X_51) = join(top,X_51) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_51),join(converse(top),X_51)) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
join(converse(top),X_51) = join(top,X_51),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( join(converse(top),X_51) != join(top,X_51)
| join(top,X_51) != top
| join(converse(top),X_51) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(top),X_51))),bind(Y,$fot(join(top,X_51))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1145,plain,
( join(top,X_51) != top
| join(converse(top),X_51) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_51),join(top,X_51)) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
join(converse(top),X_51) = top,
inference(resolve,[$cnf( $equal(join(top,X_51),top) )],[refute_0_1139,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( join(X_49,join(converse(complement(converse(X_49))),X_51)) != join(converse(top),X_51)
| join(converse(top),X_51) != top
| join(X_49,join(converse(complement(converse(X_49))),X_51)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,join(converse(complement(converse(X_49))),X_51)),top) ),[0],$fot(join(converse(top),X_51))]]) ).
cnf(refute_0_1148,plain,
( join(X_49,join(converse(complement(converse(X_49))),X_51)) != join(converse(top),X_51)
| join(X_49,join(converse(complement(converse(X_49))),X_51)) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_51),top) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(X_49,join(converse(complement(converse(X_49))),X_51)) = top,
inference(resolve,[$cnf( $equal(join(X_49,join(converse(complement(converse(X_49))),X_51)),join(converse(top),X_51)) )],[refute_0_1138,refute_0_1148]) ).
cnf(refute_0_1150,plain,
join(composition(top,composition(top,top)),join(converse(complement(converse(composition(top,composition(top,top))))),X_137)) = top,
inference(subst,[],[refute_0_1149:[bind(X_49,$fot(composition(top,composition(top,top)))),bind(X_51,$fot(X_137))]]) ).
cnf(refute_0_1151,plain,
converse(composition(converse(top),X_9)) = composition(converse(X_9),top),
inference(subst,[],[refute_0_88:[bind(A,$fot(top))]]) ).
cnf(refute_0_1152,plain,
( converse(composition(converse(top),X_9)) != composition(converse(X_9),top)
| converse(top) != top
| converse(composition(top,X_9)) = composition(converse(X_9),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_9)),composition(converse(X_9),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1153,plain,
( converse(composition(converse(top),X_9)) != composition(converse(X_9),top)
| converse(composition(top,X_9)) = composition(converse(X_9),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1152]) ).
cnf(refute_0_1154,plain,
converse(composition(top,X_9)) = composition(converse(X_9),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_9)),composition(converse(X_9),top)) )],[refute_0_1151,refute_0_1153]) ).
cnf(refute_0_1155,plain,
converse(composition(top,composition(top,top))) = composition(converse(composition(top,top)),top),
inference(subst,[],[refute_0_1154:[bind(X_9,$fot(composition(top,top)))]]) ).
cnf(refute_0_1156,plain,
converse(composition(top,top)) = composition(converse(top),top),
inference(subst,[],[refute_0_1154:[bind(X_9,$fot(top))]]) ).
cnf(refute_0_1157,plain,
( converse(composition(top,top)) != composition(converse(top),top)
| converse(top) != top
| converse(composition(top,top)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,top)),composition(converse(top),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1158,plain,
( converse(composition(top,top)) != composition(converse(top),top)
| converse(composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1157]) ).
cnf(refute_0_1159,plain,
converse(composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(converse(top),top)) )],[refute_0_1156,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( converse(composition(top,composition(top,top))) != composition(converse(composition(top,top)),top)
| converse(composition(top,top)) != composition(top,top)
| converse(composition(top,composition(top,top))) = composition(composition(top,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,top))),composition(converse(composition(top,top)),top)) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1161,plain,
( converse(composition(top,composition(top,top))) != composition(converse(composition(top,top)),top)
| converse(composition(top,composition(top,top))) = composition(composition(top,top),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,top)) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
converse(composition(top,composition(top,top))) = composition(composition(top,top),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,top))),composition(converse(composition(top,top)),top)) )],[refute_0_1155,refute_0_1161]) ).
cnf(refute_0_1163,plain,
( composition(A,composition(B,C)) != composition(composition(A,B),C)
| composition(composition(A,B),C) = composition(A,composition(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(A,composition(B,C)))),bind(Y,$fot(composition(composition(A,B),C)))]]) ).
cnf(refute_0_1164,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(resolve,[$cnf( $equal(composition(A,composition(B,C)),composition(composition(A,B),C)) )],[composition_associativity_5,refute_0_1163]) ).
cnf(refute_0_1165,plain,
composition(composition(top,top),top) = composition(top,composition(top,top)),
inference(subst,[],[refute_0_1164:[bind(A,$fot(top)),bind(B,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_1166,plain,
( composition(composition(top,top),top) != composition(top,composition(top,top))
| converse(composition(top,composition(top,top))) != composition(composition(top,top),top)
| converse(composition(top,composition(top,top))) = composition(top,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,top))),composition(composition(top,top),top)) ),[1],$fot(composition(top,composition(top,top)))]]) ).
cnf(refute_0_1167,plain,
( converse(composition(top,composition(top,top))) != composition(composition(top,top),top)
| converse(composition(top,composition(top,top))) = composition(top,composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,top),top),composition(top,composition(top,top))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
converse(composition(top,composition(top,top))) = composition(top,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,top))),composition(composition(top,top),top)) )],[refute_0_1162,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( converse(composition(top,composition(top,top))) != composition(top,composition(top,top))
| join(composition(top,composition(top,top)),join(converse(complement(converse(composition(top,composition(top,top))))),X_137)) != top
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(converse(composition(top,composition(top,top))))),X_137)),top) ),[0,1,0,0,0],$fot(composition(top,composition(top,top)))]]) ).
cnf(refute_0_1170,plain,
( join(composition(top,composition(top,top)),join(converse(complement(converse(composition(top,composition(top,top))))),X_137)) != top
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,top))),composition(top,composition(top,top))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = top,
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(converse(composition(top,composition(top,top))))),X_137)),top) )],[refute_0_1150,refute_0_1170]) ).
cnf(refute_0_1172,plain,
join(zero,X_137) = X_137,
inference(subst,[],[refute_0_217:[bind(X_89,$fot(X_137))]]) ).
cnf(refute_0_1173,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[def_zero_13:[bind(A,$fot(converse(zero)))]]) ).
cnf(refute_0_1174,plain,
top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_603:[bind(X_12,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1175,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_603:[bind(X_12,$fot(zero))]]) ).
cnf(refute_0_1176,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1177,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_1178,plain,
( top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_1175,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1181,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( converse(complement(converse(zero))) != top
| top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1183,plain,
( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
top = join(complement(converse(zero)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_1174,refute_0_1183]) ).
cnf(refute_0_1185,plain,
converse(join(zero,converse(A))) = join(converse(zero),A),
inference(subst,[],[refute_0_345:[bind(X_4,$fot(zero))]]) ).
cnf(refute_0_1186,plain,
join(zero,converse(A)) = converse(A),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(converse(A)))]]) ).
cnf(refute_0_1187,plain,
( converse(join(zero,converse(A))) != join(converse(zero),A)
| join(zero,converse(A)) != converse(A)
| converse(converse(A)) = join(converse(zero),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(A))),join(converse(zero),A)) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_1188,plain,
( converse(join(zero,converse(A))) != join(converse(zero),A)
| converse(converse(A)) = join(converse(zero),A) ),
inference(resolve,[$cnf( $equal(join(zero,converse(A)),converse(A)) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
converse(converse(A)) = join(converse(zero),A),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(A))),join(converse(zero),A)) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(converse(zero),A)
| A = join(converse(zero),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(converse(zero),A)) ),[0],$fot(A)]]) ).
cnf(refute_0_1191,plain,
( converse(converse(A)) != join(converse(zero),A)
| A = join(converse(zero),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1190]) ).
cnf(refute_0_1192,plain,
A = join(converse(zero),A),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(converse(zero),A)) )],[refute_0_1189,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( A != join(converse(zero),A)
| join(converse(zero),A) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(converse(zero),A)))]]) ).
cnf(refute_0_1194,plain,
join(converse(zero),A) = A,
inference(resolve,[$cnf( $equal(A,join(converse(zero),A)) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(subst,[],[refute_0_1194:[bind(A,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1196,plain,
join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(zero))),bind(B,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1197,plain,
( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1198,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_1195,refute_0_1198]) ).
cnf(refute_0_1200,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1201,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1202,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1202]) ).
cnf(refute_0_1204,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).
cnf(refute_0_1205,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_1206,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1203,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
| join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1209,plain,
( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_1199,refute_0_1209]) ).
cnf(refute_0_1211,plain,
( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
| top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_1212,plain,
( top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1184,refute_0_1212]) ).
cnf(refute_0_1214,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1215,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1217,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_1173,refute_0_1217]) ).
cnf(refute_0_1219,plain,
join(zero,meet(X_87,top)) = meet(X_87,top),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,top)))]]) ).
cnf(refute_0_1220,plain,
( X_87 != join(zero,meet(X_87,top))
| join(zero,meet(X_87,top)) != meet(X_87,top)
| X_87 = meet(X_87,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,top)) ),[0],$fot(join(zero,meet(X_87,top)))]]) ).
cnf(refute_0_1221,plain,
( X_87 != join(zero,meet(X_87,top))
| X_87 = meet(X_87,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,top)),meet(X_87,top)) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
X_87 = meet(X_87,top),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,top))) )],[refute_0_208,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( X_87 != meet(X_87,top)
| meet(X_87,top) = X_87 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_87)),bind(Y,$fot(meet(X_87,top)))]]) ).
cnf(refute_0_1224,plain,
meet(X_87,top) = X_87,
inference(resolve,[$cnf( $equal(X_87,meet(X_87,top)) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_1224:[bind(X_87,$fot(converse(zero)))]]) ).
cnf(refute_0_1226,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_1227,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1218,refute_0_1227]) ).
cnf(refute_0_1229,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1230,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(join(one,complement(composition(zero,top))),composition(top,top))))) = complement(composition(top,top)),
inference(subst,[],[refute_0_83:[bind(A,$fot(join(one,complement(composition(zero,top))))),bind(B,$fot(composition(top,top)))]]) ).
cnf(refute_0_1232,plain,
join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))) = complement(complement(composition(top,top))),
inference(subst,[],[refute_0_83:[bind(A,$fot(converse(composition(complement(composition(zero,top)),top)))),bind(B,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1233,plain,
converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(complement(composition(top,top))))),bind(B,$fot(composition(complement(composition(zero,top)),top)))]]) ).
cnf(refute_0_1234,plain,
join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,composition(complement(composition(top,top)),top))))) = complement(top),
inference(subst,[],[refute_0_1101:[bind(B,$fot(top)),bind(X_41,$fot(X_119)),bind(X_42,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1235,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = composition(converse(A),complement(composition(A,top))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(composition(converse(A),complement(composition(A,top)))))]]) ).
cnf(refute_0_1236,plain,
( join(zero,composition(converse(A),complement(composition(A,top)))) != composition(converse(A),complement(composition(A,top)))
| join(zero,composition(converse(A),complement(composition(A,top)))) != zero
| composition(converse(A),complement(composition(A,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),zero) ),[0],$fot(composition(converse(A),complement(composition(A,top))))]]) ).
cnf(refute_0_1237,plain,
( join(zero,composition(converse(A),complement(composition(A,top)))) != zero
| composition(converse(A),complement(composition(A,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),composition(converse(A),complement(composition(A,top)))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
composition(converse(A),complement(composition(A,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),zero) )],[refute_0_1109,refute_0_1237]) ).
cnf(refute_0_1239,plain,
composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) = zero,
inference(subst,[],[refute_0_1238:[bind(A,$fot(converse(complement(composition(top,top)))))]]) ).
cnf(refute_0_1240,plain,
converse(composition(converse(X_97),complement(composition(X_97,top)))) = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(X_97))),bind(B,$fot(complement(composition(X_97,top))))]]) ).
cnf(refute_0_1241,plain,
composition(converse(X_97),complement(composition(X_97,top))) = zero,
inference(subst,[],[refute_0_1238:[bind(A,$fot(X_97))]]) ).
cnf(refute_0_1242,plain,
( composition(converse(X_97),complement(composition(X_97,top))) != zero
| converse(composition(converse(X_97),complement(composition(X_97,top)))) != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| converse(zero) = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_97),complement(composition(X_97,top)))),composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1243,plain,
( converse(composition(converse(X_97),complement(composition(X_97,top)))) != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| converse(zero) = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_97),complement(composition(X_97,top))),zero) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
converse(zero) = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_97),complement(composition(X_97,top)))),composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) )],[refute_0_1240,refute_0_1243]) ).
cnf(refute_0_1245,plain,
( converse(zero) != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1246,plain,
( converse(zero) != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| zero = composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1230,refute_0_1245]) ).
cnf(refute_0_1247,plain,
converse(composition(converse(X_97),complement(composition(X_97,top)))) = composition(converse(complement(composition(X_97,top))),X_97),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_97)),bind(X_9,$fot(complement(composition(X_97,top))))]]) ).
cnf(refute_0_1248,plain,
( converse(composition(A,B)) != composition(converse(B),converse(A))
| composition(converse(B),converse(A)) = converse(composition(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,B)))),bind(Y,$fot(composition(converse(B),converse(A))))]]) ).
cnf(refute_0_1249,plain,
composition(converse(B),converse(A)) = converse(composition(A,B)),
inference(resolve,[$cnf( $equal(converse(composition(A,B)),composition(converse(B),converse(A))) )],[converse_multiplicativity_10,refute_0_1248]) ).
cnf(refute_0_1250,plain,
composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) = converse(composition(converse(X_97),complement(composition(X_97,top)))),
inference(subst,[],[refute_0_1249:[bind(A,$fot(converse(X_97))),bind(B,$fot(complement(composition(X_97,top))))]]) ).
cnf(refute_0_1251,plain,
( composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) != converse(composition(converse(X_97),complement(composition(X_97,top))))
| converse(composition(converse(X_97),complement(composition(X_97,top)))) != composition(converse(complement(composition(X_97,top))),X_97)
| composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) = composition(converse(complement(composition(X_97,top))),X_97) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(complement(composition(X_97,top))),converse(converse(X_97))))),bind(Y,$fot(converse(composition(converse(X_97),complement(composition(X_97,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_97,top))),X_97)))]]) ).
cnf(refute_0_1252,plain,
( converse(composition(converse(X_97),complement(composition(X_97,top)))) != composition(converse(complement(composition(X_97,top))),X_97)
| composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) = composition(converse(complement(composition(X_97,top))),X_97) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_97,top))),converse(converse(X_97))),converse(composition(converse(X_97),complement(composition(X_97,top))))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) = composition(converse(complement(composition(X_97,top))),X_97),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_97),complement(composition(X_97,top)))),composition(converse(complement(composition(X_97,top))),X_97)) )],[refute_0_1247,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( composition(converse(complement(composition(X_97,top))),converse(converse(X_97))) != composition(converse(complement(composition(X_97,top))),X_97)
| zero != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| zero = composition(converse(complement(composition(X_97,top))),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) ),[1],$fot(composition(converse(complement(composition(X_97,top))),X_97))]]) ).
cnf(refute_0_1255,plain,
( zero != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| zero = composition(converse(complement(composition(X_97,top))),X_97) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_97,top))),converse(converse(X_97))),composition(converse(complement(composition(X_97,top))),X_97)) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
( converse(zero) != composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))
| zero = composition(converse(complement(composition(X_97,top))),X_97) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) )],[refute_0_1246,refute_0_1255]) ).
cnf(refute_0_1257,plain,
zero = composition(converse(complement(composition(X_97,top))),X_97),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_97,top))),converse(converse(X_97)))) )],[refute_0_1244,refute_0_1256]) ).
cnf(refute_0_1258,plain,
zero = composition(converse(complement(composition(top,top))),top),
inference(subst,[],[refute_0_1257:[bind(X_97,$fot(top))]]) ).
cnf(refute_0_1259,plain,
( zero != composition(converse(complement(composition(top,top))),top)
| composition(converse(complement(composition(top,top))),top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,top))),top)))]]) ).
cnf(refute_0_1260,plain,
composition(converse(complement(composition(top,top))),top) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),top)) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
( composition(converse(complement(composition(top,top))),top) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1262,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),top),zero) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))),zero) )],[refute_0_1239,refute_0_1262]) ).
cnf(refute_0_1264,plain,
top = join(zero,meet(top,top)),
inference(subst,[],[refute_0_208:[bind(X_87,$fot(top))]]) ).
cnf(refute_0_1265,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_169:[bind(X_27,$fot(top))]]) ).
cnf(refute_0_1266,plain,
( meet(top,top) != complement(complement(top))
| top != join(zero,meet(top,top))
| top = join(zero,complement(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,top))) ),[1,1],$fot(complement(complement(top)))]]) ).
cnf(refute_0_1267,plain,
( top != join(zero,meet(top,top))
| top = join(zero,complement(complement(top))) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
top = join(zero,complement(complement(top))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,top))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_1270,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1271,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(zero,complement(complement(top))) = complement(complement(top)),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(complement(top))))]]) ).
cnf(refute_0_1274,plain,
( complement(complement(top)) != complement(zero)
| join(zero,complement(complement(top))) != complement(complement(top))
| join(zero,complement(complement(top))) = complement(zero) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(complement(top))))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_1275,plain,
( complement(complement(top)) != complement(zero)
| join(zero,complement(complement(top))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(top))),complement(complement(top))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
join(zero,complement(complement(top))) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_1272,refute_0_1275]) ).
cnf(refute_0_1277,plain,
( join(zero,complement(complement(top))) != complement(zero)
| top != join(zero,complement(complement(top)))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(complement(top)))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_1278,plain,
( top != join(zero,complement(complement(top)))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(top))),complement(zero)) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(complement(top)))) )],[refute_0_1268,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_1281,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),complement(zero)))]]) ).
cnf(refute_0_1283,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),complement(zero))
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1284,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_1284]) ).
cnf(refute_0_1286,plain,
converse(converse(complement(composition(top,top)))) = complement(composition(top,top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1287,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(converse(converse(complement(composition(top,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(top,top)))),complement(zero)))]]) ).
cnf(refute_0_1288,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(converse(converse(complement(composition(top,top)))),complement(zero))
| converse(converse(complement(composition(top,top)))) != complement(composition(top,top))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(converse(converse(complement(composition(top,top)))),complement(zero))) ),[1,0],$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1289,plain,
( converse(converse(complement(composition(top,top)))) != complement(composition(top,top))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(converse(converse(complement(composition(top,top)))),complement(zero))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,top)))),complement(composition(top,top))) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(complement(composition(top,top)),complement(zero))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(converse(complement(composition(top,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_1292,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(complement(composition(top,top)),complement(zero))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),top)) )],[refute_0_1285,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) != zero
| composition(complement(composition(top,top)),top) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),zero) ),[0],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_1295,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != zero
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(complement(composition(top,top)),top)) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),zero) )],[refute_0_1263,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( composition(complement(composition(top,top)),top) != zero
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,composition(complement(composition(top,top)),top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,composition(complement(composition(top,top)),top))))),complement(top)) ),[0,1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_1298,plain,
( join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,composition(complement(composition(top,top)),top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,composition(complement(composition(top,top)),top))))),complement(top)) )],[refute_0_1234,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1301,plain,
join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1302,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1303,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))
| join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))))),bind(Y,$fot(join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))))),bind(Z,$fot(composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1306,plain,
( join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) = composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) )],[refute_0_1300,refute_0_1306]) ).
cnf(refute_0_1308,plain,
( join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != complement(top)
| join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),complement(top)) ),[0],$fot(composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))))]]) ).
cnf(refute_0_1309,plain,
( join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != complement(top)
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) )],[refute_0_1307,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( complement(top) != zero
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) != complement(top)
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1311,plain,
( composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) != complement(top)
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_1310]) ).
cnf(refute_0_1312,plain,
( join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))) != complement(top)
| composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))),complement(top)) )],[refute_0_1309,refute_0_1311]) ).
cnf(refute_0_1313,plain,
composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_119,complement(composition(top,top)))),complement(composition(X_119,zero)))),complement(top)) )],[refute_0_1299,refute_0_1312]) ).
cnf(refute_0_1314,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(composition(converse(complement(composition(zero,top))),zero))) = zero,
inference(subst,[],[refute_0_1313:[bind(X_119,$fot(converse(complement(composition(zero,top)))))]]) ).
cnf(refute_0_1315,plain,
zero = composition(converse(complement(composition(zero,top))),zero),
inference(subst,[],[refute_0_1257:[bind(X_97,$fot(zero))]]) ).
cnf(refute_0_1316,plain,
( zero != composition(converse(complement(composition(zero,top))),zero)
| composition(converse(complement(composition(zero,top))),zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(zero,top))),zero)))]]) ).
cnf(refute_0_1317,plain,
composition(converse(complement(composition(zero,top))),zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(zero,top))),zero)) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
( composition(converse(complement(composition(zero,top))),zero) != zero
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(composition(converse(complement(composition(zero,top))),zero))) != zero
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(composition(converse(complement(composition(zero,top))),zero))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1319,plain,
( composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(composition(converse(complement(composition(zero,top))),zero))) != zero
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(zero,top))),zero),zero) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(composition(converse(complement(composition(zero,top))),zero))),zero) )],[refute_0_1314,refute_0_1319]) ).
cnf(refute_0_1321,plain,
composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) = composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)),
inference(subst,[],[refute_0_1164:[bind(A,$fot(converse(complement(composition(top,top))))),bind(B,$fot(complement(composition(zero,top)))),bind(C,$fot(top))]]) ).
cnf(refute_0_1322,plain,
composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)))]]) ).
cnf(refute_0_1323,plain,
( complement(zero) != top
| composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) != composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero))
| composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)),composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1324,plain,
( complement(zero) != top
| composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)),composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_1324]) ).
cnf(refute_0_1326,plain,
converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))) = composition(converse(complement(composition(top,top))),complement(composition(zero,top))),
inference(subst,[],[refute_0_88:[bind(A,$fot(complement(composition(zero,top)))),bind(X_9,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1327,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)))]]) ).
cnf(refute_0_1328,plain,
( composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero))
| converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),complement(composition(zero,top)))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero))) ),[1,0],$fot(composition(converse(complement(composition(top,top))),complement(composition(zero,top))))]]) ).
cnf(refute_0_1329,plain,
( converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),complement(composition(zero,top)))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero))) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),complement(composition(zero,top)))) )],[refute_0_1326,refute_0_1329]) ).
cnf(refute_0_1331,plain,
( composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) != composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)))),bind(Y,$fot(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)))),bind(Z,$fot(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)))]]) ).
cnf(refute_0_1332,plain,
( composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)) != composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top),
inference(resolve,[$cnf( $equal(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),complement(zero)),composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)) )],[refute_0_1325,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) != composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)))),bind(Y,$fot(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top))),bind(Z,$fot(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))))]]) ).
cnf(refute_0_1335,plain,
( composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top) != composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top)) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) = composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)),
inference(resolve,[$cnf( $equal(composition(composition(converse(complement(composition(top,top))),complement(composition(zero,top))),top),composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) )],[refute_0_1321,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))
| composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != zero
| composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),zero) ),[0],$fot(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)))]]) ).
cnf(refute_0_1338,plain,
( composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)) != zero
| composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(complement(composition(zero,top))),complement(composition(top,top)))),complement(zero)),zero) )],[refute_0_1320,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)) != zero
| converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| converse(zero) = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))),composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1341,plain,
( converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| converse(zero) = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)),zero) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
converse(zero) = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))),composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) )],[refute_0_1233,refute_0_1341]) ).
cnf(refute_0_1343,plain,
( converse(zero) != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| converse(zero) != zero
| zero = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1344,plain,
( converse(zero) != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| zero = composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1230,refute_0_1343]) ).
cnf(refute_0_1345,plain,
converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))),
inference(subst,[],[refute_0_88:[bind(A,$fot(complement(composition(top,top)))),bind(X_9,$fot(composition(complement(composition(zero,top)),top)))]]) ).
cnf(refute_0_1346,plain,
composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) = converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))),
inference(subst,[],[refute_0_1249:[bind(A,$fot(converse(complement(composition(top,top))))),bind(B,$fot(composition(complement(composition(zero,top)),top)))]]) ).
cnf(refute_0_1347,plain,
( composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) != converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)))
| converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) != composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))
| composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))))),bind(Y,$fot(converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))))),bind(Z,$fot(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))]]) ).
cnf(refute_0_1348,plain,
( converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))) != composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))
| composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))),converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top)))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(composition(top,top))),composition(complement(composition(zero,top)),top))),composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))) )],[refute_0_1345,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))) != composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))
| zero != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| zero = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) ),[1],$fot(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))))]]) ).
cnf(refute_0_1351,plain,
( zero != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| zero = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top))))),composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( converse(zero) != composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))
| zero = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) )],[refute_0_1344,refute_0_1351]) ).
cnf(refute_0_1353,plain,
zero = composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(complement(composition(zero,top)),top)),converse(converse(complement(composition(top,top)))))) )],[refute_0_1342,refute_0_1352]) ).
cnf(refute_0_1354,plain,
( zero != composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))
| composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))]]) ).
cnf(refute_0_1355,plain,
composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))) != zero
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))),complement(complement(composition(top,top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1357,plain,
( join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top))),zero) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = complement(complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(composition(converse(composition(complement(composition(zero,top)),top)),complement(composition(top,top)))))),complement(complement(composition(top,top)))) )],[refute_0_1232,refute_0_1357]) ).
cnf(refute_0_1359,plain,
composition(composition(complement(composition(zero,top)),top),top) = composition(complement(composition(zero,top)),composition(top,top)),
inference(subst,[],[refute_0_1164:[bind(A,$fot(complement(composition(zero,top)))),bind(B,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_1360,plain,
composition(composition(complement(composition(zero,top)),top),complement(zero)) = composition(composition(complement(composition(zero,top)),top),complement(zero)),
introduced(tautology,[refl,[$fot(composition(composition(complement(composition(zero,top)),top),complement(zero)))]]) ).
cnf(refute_0_1361,plain,
( complement(zero) != top
| composition(composition(complement(composition(zero,top)),top),complement(zero)) != composition(composition(complement(composition(zero,top)),top),complement(zero))
| composition(composition(complement(composition(zero,top)),top),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(composition(zero,top)),top),complement(zero)),composition(composition(complement(composition(zero,top)),top),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1362,plain,
( complement(zero) != top
| composition(composition(complement(composition(zero,top)),top),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(zero,top)),top),complement(zero)),composition(composition(complement(composition(zero,top)),top),complement(zero))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
composition(composition(complement(composition(zero,top)),top),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_1362]) ).
cnf(refute_0_1364,plain,
converse(converse(composition(complement(composition(zero,top)),top))) = composition(complement(composition(zero,top)),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(composition(zero,top)),top)))]]) ).
cnf(refute_0_1365,plain,
composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))]]) ).
cnf(refute_0_1366,plain,
( composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) != composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))
| converse(converse(composition(complement(composition(zero,top)),top))) != composition(complement(composition(zero,top)),top)
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) ),[1,0],$fot(composition(complement(composition(zero,top)),top))]]) ).
cnf(refute_0_1367,plain,
( converse(converse(composition(complement(composition(zero,top)),top))) != composition(complement(composition(zero,top)),top)
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(zero,top)),top))),composition(complement(composition(zero,top)),top)) )],[refute_0_1364,refute_0_1367]) ).
cnf(refute_0_1369,plain,
( composition(composition(complement(composition(zero,top)),top),complement(zero)) != composition(composition(complement(composition(zero,top)),top),top)
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) != composition(composition(complement(composition(zero,top)),top),complement(zero))
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))),bind(Y,$fot(composition(composition(complement(composition(zero,top)),top),complement(zero)))),bind(Z,$fot(composition(composition(complement(composition(zero,top)),top),top)))]]) ).
cnf(refute_0_1370,plain,
( composition(composition(complement(composition(zero,top)),top),complement(zero)) != composition(composition(complement(composition(zero,top)),top),top)
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),composition(composition(complement(composition(zero,top)),top),complement(zero))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(composition(complement(composition(zero,top)),top),top),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(zero,top)),top),complement(zero)),composition(composition(complement(composition(zero,top)),top),top)) )],[refute_0_1363,refute_0_1370]) ).
cnf(refute_0_1372,plain,
( composition(composition(complement(composition(zero,top)),top),top) != composition(complement(composition(zero,top)),composition(top,top))
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) != composition(composition(complement(composition(zero,top)),top),top)
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(complement(composition(zero,top)),composition(top,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))),bind(Y,$fot(composition(composition(complement(composition(zero,top)),top),top))),bind(Z,$fot(composition(complement(composition(zero,top)),composition(top,top))))]]) ).
cnf(refute_0_1373,plain,
( composition(composition(complement(composition(zero,top)),top),top) != composition(complement(composition(zero,top)),composition(top,top))
| composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(complement(composition(zero,top)),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),composition(composition(complement(composition(zero,top)),top),top)) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) = composition(complement(composition(zero,top)),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(zero,top)),top),top),composition(complement(composition(zero,top)),composition(top,top))) )],[refute_0_1359,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))))]]) ).
cnf(refute_0_1376,plain,
( composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) != composition(complement(composition(zero,top)),composition(top,top))
| join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))
| join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(zero,top)),composition(top,top)))]]) ).
cnf(refute_0_1377,plain,
( composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)) != composition(complement(composition(zero,top)),composition(top,top))
| join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)),composition(complement(composition(zero,top)),composition(top,top))) )],[refute_0_1374,refute_0_1377]) ).
cnf(refute_0_1379,plain,
join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))))]]) ).
cnf(refute_0_1380,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1381,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1121,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))
| join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))))),bind(Y,$fot(join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))))),bind(Z,$fot(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))))]]) ).
cnf(refute_0_1384,plain,
( join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero)))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) = join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))) )],[refute_0_1378,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),complement(complement(composition(top,top)))) ),[0],$fot(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))))]]) ).
cnf(refute_0_1387,plain,
( join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top)))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),complement(complement(composition(top,top)))) ),[1],$fot(composition(top,top))]]) ).
cnf(refute_0_1389,plain,
( join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1121,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))) != complement(complement(composition(top,top)))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),complement(complement(composition(top,top)))) )],[refute_0_1387,refute_0_1389]) ).
cnf(refute_0_1391,plain,
join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(top,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(converse(converse(composition(complement(composition(zero,top)),top))),complement(zero))),complement(complement(composition(top,top)))) )],[refute_0_1358,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(composition(X_151,X_152),composition(X_150,X_152)) = join(composition(X_150,X_152),composition(X_151,X_152)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(X_151,X_152))),bind(B,$fot(composition(X_150,X_152)))]]) ).
cnf(refute_0_1393,plain,
composition(join(X_150,X_151),X_152) = join(composition(X_150,X_152),composition(X_151,X_152)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_150)),bind(B,$fot(X_151)),bind(C,$fot(X_152))]]) ).
cnf(refute_0_1394,plain,
( composition(join(X_150,X_151),X_152) != join(composition(X_150,X_152),composition(X_151,X_152))
| join(composition(X_150,X_152),composition(X_151,X_152)) = composition(join(X_150,X_151),X_152) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,X_151),X_152))),bind(Y,$fot(join(composition(X_150,X_152),composition(X_151,X_152))))]]) ).
cnf(refute_0_1395,plain,
join(composition(X_150,X_152),composition(X_151,X_152)) = composition(join(X_150,X_151),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_150,X_151),X_152),join(composition(X_150,X_152),composition(X_151,X_152))) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
( join(composition(X_150,X_152),composition(X_151,X_152)) != composition(join(X_150,X_151),X_152)
| join(composition(X_151,X_152),composition(X_150,X_152)) != join(composition(X_150,X_152),composition(X_151,X_152))
| join(composition(X_151,X_152),composition(X_150,X_152)) = composition(join(X_150,X_151),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_151,X_152),composition(X_150,X_152)),join(composition(X_150,X_152),composition(X_151,X_152))) ),[1],$fot(composition(join(X_150,X_151),X_152))]]) ).
cnf(refute_0_1397,plain,
( join(composition(X_151,X_152),composition(X_150,X_152)) != join(composition(X_150,X_152),composition(X_151,X_152))
| join(composition(X_151,X_152),composition(X_150,X_152)) = composition(join(X_150,X_151),X_152) ),
inference(resolve,[$cnf( $equal(join(composition(X_150,X_152),composition(X_151,X_152)),composition(join(X_150,X_151),X_152)) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(composition(X_151,X_152),composition(X_150,X_152)) = composition(join(X_150,X_151),X_152),
inference(resolve,[$cnf( $equal(join(composition(X_151,X_152),composition(X_150,X_152)),join(composition(X_150,X_152),composition(X_151,X_152))) )],[refute_0_1392,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( composition(join(A,B),C) != join(composition(A,C),composition(B,C))
| join(composition(A,C),composition(B,C)) = composition(join(A,B),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(A,B),C))),bind(Y,$fot(join(composition(A,C),composition(B,C))))]]) ).
cnf(refute_0_1400,plain,
join(composition(A,C),composition(B,C)) = composition(join(A,B),C),
inference(resolve,[$cnf( $equal(composition(join(A,B),C),join(composition(A,C),composition(B,C))) )],[composition_distributivity_7,refute_0_1399]) ).
cnf(refute_0_1401,plain,
join(composition(X_151,X_152),composition(X_150,X_152)) = composition(join(X_151,X_150),X_152),
inference(subst,[],[refute_0_1400:[bind(A,$fot(X_151)),bind(B,$fot(X_150)),bind(C,$fot(X_152))]]) ).
cnf(refute_0_1402,plain,
( join(composition(X_151,X_152),composition(X_150,X_152)) != composition(join(X_150,X_151),X_152)
| join(composition(X_151,X_152),composition(X_150,X_152)) != composition(join(X_151,X_150),X_152)
| composition(join(X_151,X_150),X_152) = composition(join(X_150,X_151),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_151,X_152),composition(X_150,X_152)),composition(join(X_150,X_151),X_152)) ),[0],$fot(composition(join(X_151,X_150),X_152))]]) ).
cnf(refute_0_1403,plain,
( join(composition(X_151,X_152),composition(X_150,X_152)) != composition(join(X_150,X_151),X_152)
| composition(join(X_151,X_150),X_152) = composition(join(X_150,X_151),X_152) ),
inference(resolve,[$cnf( $equal(join(composition(X_151,X_152),composition(X_150,X_152)),composition(join(X_151,X_150),X_152)) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
composition(join(X_151,X_150),X_152) = composition(join(X_150,X_151),X_152),
inference(resolve,[$cnf( $equal(join(composition(X_151,X_152),composition(X_150,X_152)),composition(join(X_150,X_151),X_152)) )],[refute_0_1398,refute_0_1403]) ).
cnf(refute_0_1405,plain,
( composition(join(X_151,X_150),X_152) != composition(join(X_150,X_151),X_152)
| composition(join(X_150,X_151),X_152) = composition(join(X_151,X_150),X_152) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_151,X_150),X_152))),bind(Y,$fot(composition(join(X_150,X_151),X_152)))]]) ).
cnf(refute_0_1406,plain,
composition(join(X_150,X_151),X_152) = composition(join(X_151,X_150),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_151,X_150),X_152),composition(join(X_150,X_151),X_152)) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
composition(join(complement(composition(zero,top)),one),composition(top,top)) = composition(join(one,complement(composition(zero,top))),composition(top,top)),
inference(subst,[],[refute_0_1406:[bind(X_150,$fot(complement(composition(zero,top)))),bind(X_151,$fot(one)),bind(X_152,$fot(composition(top,top)))]]) ).
cnf(refute_0_1408,plain,
composition(join(X_150,one),X_152) = join(composition(X_150,X_152),composition(one,X_152)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_150)),bind(B,$fot(one)),bind(C,$fot(X_152))]]) ).
cnf(refute_0_1409,plain,
X_152 = composition(one,X_152),
inference(subst,[],[refute_0_113:[bind(X_15,$fot(X_152))]]) ).
cnf(refute_0_1410,plain,
( X_152 != composition(one,X_152)
| composition(one,X_152) = X_152 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_152)),bind(Y,$fot(composition(one,X_152)))]]) ).
cnf(refute_0_1411,plain,
composition(one,X_152) = X_152,
inference(resolve,[$cnf( $equal(X_152,composition(one,X_152)) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( composition(join(X_150,one),X_152) != join(composition(X_150,X_152),composition(one,X_152))
| composition(one,X_152) != X_152
| composition(join(X_150,one),X_152) = join(composition(X_150,X_152),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,one),X_152),join(composition(X_150,X_152),composition(one,X_152))) ),[1,1],$fot(X_152)]]) ).
cnf(refute_0_1413,plain,
( composition(join(X_150,one),X_152) != join(composition(X_150,X_152),composition(one,X_152))
| composition(join(X_150,one),X_152) = join(composition(X_150,X_152),X_152) ),
inference(resolve,[$cnf( $equal(composition(one,X_152),X_152) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
composition(join(X_150,one),X_152) = join(composition(X_150,X_152),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),X_152),join(composition(X_150,X_152),composition(one,X_152))) )],[refute_0_1408,refute_0_1413]) ).
cnf(refute_0_1415,plain,
join(composition(X_150,X_152),X_152) = join(X_152,composition(X_150,X_152)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_152)),bind(B,$fot(composition(X_150,X_152)))]]) ).
cnf(refute_0_1416,plain,
( composition(join(X_150,one),X_152) != join(composition(X_150,X_152),X_152)
| join(composition(X_150,X_152),X_152) != join(X_152,composition(X_150,X_152))
| composition(join(X_150,one),X_152) = join(X_152,composition(X_150,X_152)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_150,one),X_152),join(X_152,composition(X_150,X_152))) ),[0],$fot(join(composition(X_150,X_152),X_152))]]) ).
cnf(refute_0_1417,plain,
( composition(join(X_150,one),X_152) != join(composition(X_150,X_152),X_152)
| composition(join(X_150,one),X_152) = join(X_152,composition(X_150,X_152)) ),
inference(resolve,[$cnf( $equal(join(composition(X_150,X_152),X_152),join(X_152,composition(X_150,X_152))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
composition(join(X_150,one),X_152) = join(X_152,composition(X_150,X_152)),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),X_152),join(composition(X_150,X_152),X_152)) )],[refute_0_1414,refute_0_1417]) ).
cnf(refute_0_1419,plain,
( composition(join(X_150,one),X_152) != join(X_152,composition(X_150,X_152))
| join(X_152,composition(X_150,X_152)) = composition(join(X_150,one),X_152) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,one),X_152))),bind(Y,$fot(join(X_152,composition(X_150,X_152))))]]) ).
cnf(refute_0_1420,plain,
join(X_152,composition(X_150,X_152)) = composition(join(X_150,one),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),X_152),join(X_152,composition(X_150,X_152))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(join(complement(composition(zero,top)),one),composition(top,top)),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(complement(composition(zero,top)))),bind(X_152,$fot(composition(top,top)))]]) ).
cnf(refute_0_1422,plain,
( composition(join(complement(composition(zero,top)),one),composition(top,top)) != composition(join(one,complement(composition(zero,top))),composition(top,top))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != composition(join(complement(composition(zero,top)),one),composition(top,top))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(join(one,complement(composition(zero,top))),composition(top,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))))),bind(Y,$fot(composition(join(complement(composition(zero,top)),one),composition(top,top)))),bind(Z,$fot(composition(join(one,complement(composition(zero,top))),composition(top,top))))]]) ).
cnf(refute_0_1423,plain,
( composition(join(complement(composition(zero,top)),one),composition(top,top)) != composition(join(one,complement(composition(zero,top))),composition(top,top))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(join(one,complement(composition(zero,top))),composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),composition(join(complement(composition(zero,top)),one),composition(top,top))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) = composition(join(one,complement(composition(zero,top))),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(zero,top)),one),composition(top,top)),composition(join(one,complement(composition(zero,top))),composition(top,top))) )],[refute_0_1407,refute_0_1423]) ).
cnf(refute_0_1425,plain,
( join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != composition(join(one,complement(composition(zero,top))),composition(top,top))
| join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != composition(top,top)
| composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),composition(top,top)) ),[0],$fot(composition(join(one,complement(composition(zero,top))),composition(top,top)))]]) ).
cnf(refute_0_1426,plain,
( join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))) != composition(top,top)
| composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),composition(join(one,complement(composition(zero,top))),composition(top,top))) )],[refute_0_1424,refute_0_1425]) ).
cnf(refute_0_1427,plain,
composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(complement(composition(zero,top)),composition(top,top))),composition(top,top)) )],[refute_0_1391,refute_0_1426]) ).
cnf(refute_0_1428,plain,
( composition(join(one,complement(composition(zero,top))),composition(top,top)) != composition(top,top)
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(join(one,complement(composition(zero,top))),composition(top,top))))) != complement(composition(top,top))
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(join(one,complement(composition(zero,top))),composition(top,top))))),complement(composition(top,top))) ),[0,1,1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1429,plain,
( join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(join(one,complement(composition(zero,top))),composition(top,top))))) != complement(composition(top,top))
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(top,top)) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(join(one,complement(composition(zero,top))),composition(top,top))))),complement(composition(top,top))) )],[refute_0_1231,refute_0_1429]) ).
cnf(refute_0_1431,plain,
composition(join(X_150,top),complement(composition(top,top))) = join(composition(X_150,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_150)),bind(B,$fot(top)),bind(C,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1432,plain,
( composition(join(X_150,top),complement(composition(top,top))) != join(composition(X_150,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_150,top),complement(composition(top,top))) = join(composition(X_150,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),join(composition(X_150,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1433,plain,
( composition(join(X_150,top),complement(composition(top,top))) != join(composition(X_150,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_150,top),complement(composition(top,top))) = join(composition(X_150,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1117,refute_0_1432]) ).
cnf(refute_0_1434,plain,
composition(join(X_150,top),complement(composition(top,top))) = join(composition(X_150,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),join(composition(X_150,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_1431,refute_0_1433]) ).
cnf(refute_0_1435,plain,
join(X_150,top) = top,
inference(subst,[],[refute_0_502:[bind(X_55,$fot(X_150))]]) ).
cnf(refute_0_1436,plain,
composition(join(X_150,top),complement(composition(top,top))) = composition(join(X_150,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_150,top),complement(composition(top,top))))]]) ).
cnf(refute_0_1437,plain,
( composition(join(X_150,top),complement(composition(top,top))) != composition(join(X_150,top),complement(composition(top,top)))
| join(X_150,top) != top
| composition(join(X_150,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),composition(join(X_150,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1438,plain,
( join(X_150,top) != top
| composition(join(X_150,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),composition(join(X_150,top),complement(composition(top,top)))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
composition(join(X_150,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_150,top),top) )],[refute_0_1435,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( composition(join(X_150,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_150,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(X_150,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1441,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_150,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
composition(join(X_150,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1117,refute_0_1441]) ).
cnf(refute_0_1443,plain,
( composition(join(X_150,top),complement(composition(top,top))) != join(composition(X_150,complement(composition(top,top))),zero)
| composition(join(X_150,top),complement(composition(top,top))) != zero
| zero = join(composition(X_150,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),join(composition(X_150,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1444,plain,
( composition(join(X_150,top),complement(composition(top,top))) != join(composition(X_150,complement(composition(top,top))),zero)
| zero = join(composition(X_150,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),zero) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
join(composition(X_150,complement(composition(top,top))),zero) = composition(X_150,complement(composition(top,top))),
inference(subst,[],[refute_0_783:[bind(X_89,$fot(composition(X_150,complement(composition(top,top)))))]]) ).
cnf(refute_0_1446,plain,
( join(composition(X_150,complement(composition(top,top))),zero) != composition(X_150,complement(composition(top,top)))
| zero != join(composition(X_150,complement(composition(top,top))),zero)
| zero = composition(X_150,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_150,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_150,complement(composition(top,top))))]]) ).
cnf(refute_0_1447,plain,
( zero != join(composition(X_150,complement(composition(top,top))),zero)
| zero = composition(X_150,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_150,complement(composition(top,top))),zero),composition(X_150,complement(composition(top,top)))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
( composition(join(X_150,top),complement(composition(top,top))) != join(composition(X_150,complement(composition(top,top))),zero)
| zero = composition(X_150,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_150,complement(composition(top,top))),zero)) )],[refute_0_1444,refute_0_1447]) ).
cnf(refute_0_1449,plain,
zero = composition(X_150,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_150,top),complement(composition(top,top))),join(composition(X_150,complement(composition(top,top))),zero)) )],[refute_0_1434,refute_0_1448]) ).
cnf(refute_0_1450,plain,
( zero != composition(X_150,complement(composition(top,top)))
| composition(X_150,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_150,complement(composition(top,top)))))]]) ).
cnf(refute_0_1451,plain,
composition(X_150,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_150,complement(composition(top,top)))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_1451:[bind(X_150,$fot(join(converse(join(one,complement(composition(zero,top)))),one)))]]) ).
cnf(refute_0_1453,plain,
join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(converse(join(one,complement(composition(zero,top)))))),bind(X_152,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1454,plain,
( composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))) != zero
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) != composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top)))
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))))),bind(Y,$fot(composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1455,plain,
( composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))) != zero
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))),composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(join(converse(join(one,complement(composition(zero,top)))),one),complement(composition(top,top))),zero) )],[refute_0_1452,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) != complement(composition(top,top))
| join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) != zero
| zero = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))),complement(composition(top,top))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1458,plain,
( join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))) != complement(composition(top,top))
| zero = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))),zero) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
zero = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),composition(converse(join(one,complement(composition(zero,top)))),complement(composition(top,top)))),complement(composition(top,top))) )],[refute_0_1430,refute_0_1458]) ).
cnf(refute_0_1460,plain,
( zero != complement(composition(top,top))
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1461,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(composition(top,top))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
join(one,top) = top,
inference(subst,[],[refute_0_502:[bind(X_55,$fot(one))]]) ).
cnf(refute_0_1463,plain,
composition(complement(composition(top,top)),top) = composition(complement(composition(top,top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_1464,plain,
( complement(composition(top,top)) != zero
| composition(complement(composition(top,top)),top) != composition(complement(composition(top,top)),top)
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(complement(composition(top,top)),top)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1465,plain,
( complement(composition(top,top)) != zero
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(complement(composition(top,top)),top)) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
composition(complement(composition(top,top)),top) = composition(zero,top),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1461,refute_0_1465]) ).
cnf(refute_0_1467,plain,
( composition(complement(composition(top,top)),top) != composition(zero,top)
| composition(complement(composition(top,top)),top) != zero
| composition(zero,top) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) ),[0],$fot(composition(zero,top))]]) ).
cnf(refute_0_1468,plain,
( composition(complement(composition(top,top)),top) != zero
| composition(zero,top) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(zero,top)) )],[refute_0_1466,refute_0_1467]) ).
cnf(refute_0_1469,plain,
composition(zero,top) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_1296,refute_0_1468]) ).
cnf(refute_0_1470,plain,
complement(composition(zero,top)) = complement(composition(zero,top)),
introduced(tautology,[refl,[$fot(complement(composition(zero,top)))]]) ).
cnf(refute_0_1471,plain,
( complement(composition(zero,top)) != complement(composition(zero,top))
| composition(zero,top) != zero
| complement(composition(zero,top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,top)),complement(composition(zero,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1472,plain,
( composition(zero,top) != zero
| complement(composition(zero,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,top)),complement(composition(zero,top))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
complement(composition(zero,top)) = complement(zero),
inference(resolve,[$cnf( $equal(composition(zero,top),zero) )],[refute_0_1469,refute_0_1472]) ).
cnf(refute_0_1474,plain,
( complement(composition(zero,top)) != complement(zero)
| complement(zero) != top
| complement(composition(zero,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(composition(zero,top)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1475,plain,
( complement(zero) != top
| complement(composition(zero,top)) = top ),
inference(resolve,[$cnf( $equal(complement(composition(zero,top)),complement(zero)) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
complement(composition(zero,top)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_1475]) ).
cnf(refute_0_1477,plain,
join(one,complement(composition(zero,top))) = join(one,complement(composition(zero,top))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(zero,top))))]]) ).
cnf(refute_0_1478,plain,
( complement(composition(zero,top)) != top
| join(one,complement(composition(zero,top))) != join(one,complement(composition(zero,top)))
| join(one,complement(composition(zero,top))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(zero,top))),join(one,complement(composition(zero,top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1479,plain,
( complement(composition(zero,top)) != top
| join(one,complement(composition(zero,top))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(zero,top))),join(one,complement(composition(zero,top)))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
join(one,complement(composition(zero,top))) = join(one,top),
inference(resolve,[$cnf( $equal(complement(composition(zero,top)),top) )],[refute_0_1476,refute_0_1479]) ).
cnf(refute_0_1481,plain,
( join(one,complement(composition(zero,top))) != join(one,top)
| join(one,top) != top
| join(one,complement(composition(zero,top))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,complement(composition(zero,top))))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1482,plain,
( join(one,top) != top
| join(one,complement(composition(zero,top))) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(zero,top))),join(one,top)) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
join(one,complement(composition(zero,top))) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_1482]) ).
cnf(refute_0_1484,plain,
composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(join(one,complement(composition(zero,top))),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(zero,top))),composition(top,top)))]]) ).
cnf(refute_0_1485,plain,
( composition(join(one,complement(composition(zero,top))),composition(top,top)) != composition(join(one,complement(composition(zero,top))),composition(top,top))
| join(one,complement(composition(zero,top))) != top
| composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(join(one,complement(composition(zero,top))),composition(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1486,plain,
( join(one,complement(composition(zero,top))) != top
| composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(join(one,complement(composition(zero,top))),composition(top,top))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
composition(join(one,complement(composition(zero,top))),composition(top,top)) = composition(top,composition(top,top)),
inference(resolve,[$cnf( $equal(join(one,complement(composition(zero,top))),top) )],[refute_0_1483,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( composition(join(one,complement(composition(zero,top))),composition(top,top)) != composition(top,composition(top,top))
| composition(join(one,complement(composition(zero,top))),composition(top,top)) != composition(top,top)
| composition(top,composition(top,top)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(top,top)) ),[0],$fot(composition(top,composition(top,top)))]]) ).
cnf(refute_0_1489,plain,
( composition(join(one,complement(composition(zero,top))),composition(top,top)) != composition(top,top)
| composition(top,composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(top,composition(top,top))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
composition(top,composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(zero,top))),composition(top,top)),composition(top,top)) )],[refute_0_1427,refute_0_1489]) ).
cnf(refute_0_1491,plain,
complement(composition(top,composition(top,top))) = complement(composition(top,composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(top,top))))]]) ).
cnf(refute_0_1492,plain,
( complement(composition(top,composition(top,top))) != complement(composition(top,composition(top,top)))
| composition(top,composition(top,top)) != composition(top,top)
| complement(composition(top,composition(top,top))) = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(top,top))),complement(composition(top,composition(top,top)))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1493,plain,
( composition(top,composition(top,top)) != composition(top,top)
| complement(composition(top,composition(top,top))) = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,top))),complement(composition(top,composition(top,top)))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
complement(composition(top,composition(top,top))) = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,top)),composition(top,top)) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( complement(composition(top,composition(top,top))) != complement(composition(top,top))
| complement(composition(top,top)) != zero
| complement(composition(top,composition(top,top))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(composition(top,composition(top,top))))),bind(Y,$fot(complement(composition(top,top)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1496,plain,
( complement(composition(top,top)) != zero
| complement(composition(top,composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,top))),complement(composition(top,top))) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
complement(composition(top,composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1461,refute_0_1496]) ).
cnf(refute_0_1498,plain,
converse(complement(composition(top,composition(top,top)))) = converse(complement(composition(top,composition(top,top)))),
introduced(tautology,[refl,[$fot(converse(complement(composition(top,composition(top,top)))))]]) ).
cnf(refute_0_1499,plain,
( complement(composition(top,composition(top,top))) != zero
| converse(complement(composition(top,composition(top,top)))) != converse(complement(composition(top,composition(top,top))))
| converse(complement(composition(top,composition(top,top)))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,composition(top,top)))),converse(complement(composition(top,composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1500,plain,
( complement(composition(top,composition(top,top))) != zero
| converse(complement(composition(top,composition(top,top)))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(top,top)))),converse(complement(composition(top,composition(top,top))))) )],[refute_0_1498,refute_0_1499]) ).
cnf(refute_0_1501,plain,
converse(complement(composition(top,composition(top,top)))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,top))),zero) )],[refute_0_1497,refute_0_1500]) ).
cnf(refute_0_1502,plain,
( converse(complement(composition(top,composition(top,top)))) != converse(zero)
| converse(zero) != zero
| converse(complement(composition(top,composition(top,top)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(composition(top,composition(top,top)))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1503,plain,
( converse(zero) != zero
| converse(complement(composition(top,composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(top,top)))),converse(zero)) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
converse(complement(composition(top,composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1230,refute_0_1503]) ).
cnf(refute_0_1505,plain,
join(converse(complement(composition(top,composition(top,top)))),X_137) = join(converse(complement(composition(top,composition(top,top)))),X_137),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,composition(top,top)))),X_137))]]) ).
cnf(refute_0_1506,plain,
( converse(complement(composition(top,composition(top,top)))) != zero
| join(converse(complement(composition(top,composition(top,top)))),X_137) != join(converse(complement(composition(top,composition(top,top)))),X_137)
| join(converse(complement(composition(top,composition(top,top)))),X_137) = join(zero,X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,composition(top,top)))),X_137),join(converse(complement(composition(top,composition(top,top)))),X_137)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1507,plain,
( converse(complement(composition(top,composition(top,top)))) != zero
| join(converse(complement(composition(top,composition(top,top)))),X_137) = join(zero,X_137) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,composition(top,top)))),X_137),join(converse(complement(composition(top,composition(top,top)))),X_137)) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(converse(complement(composition(top,composition(top,top)))),X_137) = join(zero,X_137),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(top,top)))),zero) )],[refute_0_1504,refute_0_1507]) ).
cnf(refute_0_1509,plain,
( join(converse(complement(composition(top,composition(top,top)))),X_137) != join(zero,X_137)
| join(zero,X_137) != X_137
| join(converse(complement(composition(top,composition(top,top)))),X_137) = X_137 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(composition(top,composition(top,top)))),X_137))),bind(Y,$fot(join(zero,X_137))),bind(Z,$fot(X_137))]]) ).
cnf(refute_0_1510,plain,
( join(zero,X_137) != X_137
| join(converse(complement(composition(top,composition(top,top)))),X_137) = X_137 ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,composition(top,top)))),X_137),join(zero,X_137)) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
join(converse(complement(composition(top,composition(top,top)))),X_137) = X_137,
inference(resolve,[$cnf( $equal(join(zero,X_137),X_137) )],[refute_0_1172,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)),
introduced(tautology,[refl,[$fot(join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)))]]) ).
cnf(refute_0_1513,plain,
( join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137))
| join(converse(complement(composition(top,composition(top,top)))),X_137) != X_137
| join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137))) ),[1,1],$fot(X_137)]]) ).
cnf(refute_0_1514,plain,
( join(converse(complement(composition(top,composition(top,top)))),X_137) != X_137
| join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,composition(top,top)))),X_137),X_137) )],[refute_0_1511,refute_0_1514]) ).
cnf(refute_0_1516,plain,
join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),
introduced(tautology,[refl,[$fot(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)))]]) ).
cnf(refute_0_1517,plain,
( composition(top,composition(top,top)) != composition(top,top)
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137))
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1518,plain,
( composition(top,composition(top,top)) != composition(top,top)
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,top)),composition(top,top)) )],[refute_0_1490,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137))
| join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,top),X_137)
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)))),bind(Y,$fot(join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)))),bind(Z,$fot(join(composition(top,top),X_137)))]]) ).
cnf(refute_0_1521,plain,
( join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,top),X_137)
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137) ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) = join(composition(top,top),X_137),
inference(resolve,[$cnf( $equal(join(composition(top,top),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,top),X_137)) )],[refute_0_1515,refute_0_1521]) ).
cnf(refute_0_1523,plain,
( join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) != join(composition(top,top),X_137)
| join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) != top
| join(composition(top,top),X_137) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),top) ),[0],$fot(join(composition(top,top),X_137))]]) ).
cnf(refute_0_1524,plain,
( join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)) != top
| join(composition(top,top),X_137) = top ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),join(composition(top,top),X_137)) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
join(composition(top,top),X_137) = top,
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,top)),join(converse(complement(composition(top,composition(top,top)))),X_137)),top) )],[refute_0_1171,refute_0_1524]) ).
cnf(refute_0_1526,plain,
join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) = top,
inference(subst,[],[refute_0_1525:[bind(X_137,$fot(composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))))]]) ).
cnf(refute_0_1527,plain,
( join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != composition(top,top)
| join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != top
| top = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),composition(top,top)) ),[0],$fot(top)]]) ).
cnf(refute_0_1528,plain,
( join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))) != composition(top,top)
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),top) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
top = composition(top,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(converse(composition(X_119,top)),complement(composition(X_119,zero)))),composition(top,top)) )],[refute_0_1131,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( top != composition(top,top)
| composition(top,top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(top,top)))]]) ).
cnf(refute_0_1531,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(top,composition(top,top)) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
( composition(top,composition(top,C)) != composition(composition(top,top),C)
| composition(top,top) != top
| composition(top,composition(top,C)) = composition(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,C)),composition(composition(top,top),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1533,plain,
( composition(top,composition(top,C)) != composition(composition(top,top),C)
| composition(top,composition(top,C)) = composition(top,C) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1531,refute_0_1532]) ).
cnf(refute_0_1534,plain,
composition(top,composition(top,C)) = composition(top,C),
inference(resolve,[$cnf( $equal(composition(top,composition(top,C)),composition(composition(top,top),C)) )],[refute_0_1094,refute_0_1533]) ).
cnf(refute_0_1535,plain,
composition(top,composition(top,X_228)) = composition(top,X_228),
inference(subst,[],[refute_0_1534:[bind(C,$fot(X_228))]]) ).
cnf(refute_0_1536,plain,
( composition(top,composition(top,X_228)) != composition(top,X_228)
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,composition(top,X_228))))) != complement(composition(top,X_228))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = complement(composition(top,X_228)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,composition(top,X_228))))),complement(composition(top,X_228))) ),[0,1,1,0],$fot(composition(top,X_228))]]) ).
cnf(refute_0_1537,plain,
( join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,composition(top,X_228))))) != complement(composition(top,X_228))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = complement(composition(top,X_228)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_228)),composition(top,X_228)) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = complement(composition(top,X_228)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,composition(top,X_228))))),complement(composition(top,X_228))) )],[refute_0_1093,refute_0_1537]) ).
cnf(refute_0_1539,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1540,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1541,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_1541]) ).
cnf(refute_0_1543,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1544,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1544]) ).
cnf(refute_0_1546,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_1547,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1548,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1545,refute_0_1548]) ).
cnf(refute_0_1550,plain,
composition(join(one,converse(top)),complement(composition(top,X_228))) = composition(join(one,converse(top)),complement(composition(top,X_228))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_228))))]]) ).
cnf(refute_0_1551,plain,
( composition(join(one,converse(top)),complement(composition(top,X_228))) != composition(join(one,converse(top)),complement(composition(top,X_228)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_228))) = composition(top,complement(composition(top,X_228))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_228))),composition(join(one,converse(top)),complement(composition(top,X_228)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1552,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_228))) = composition(top,complement(composition(top,X_228))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_228))),composition(join(one,converse(top)),complement(composition(top,X_228)))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
composition(join(one,converse(top)),complement(composition(top,X_228))) = composition(top,complement(composition(top,X_228))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1549,refute_0_1552]) ).
cnf(refute_0_1554,plain,
composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = join(composition(converse(complement(composition(X_152,top))),X_152),composition(X_151,X_152)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(complement(composition(X_152,top))))),bind(B,$fot(X_151)),bind(C,$fot(X_152))]]) ).
cnf(refute_0_1555,plain,
zero = composition(converse(complement(composition(X_152,top))),X_152),
inference(subst,[],[refute_0_1257:[bind(X_97,$fot(X_152))]]) ).
cnf(refute_0_1556,plain,
( zero != composition(converse(complement(composition(X_152,top))),X_152)
| composition(converse(complement(composition(X_152,top))),X_152) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_152,top))),X_152)))]]) ).
cnf(refute_0_1557,plain,
composition(converse(complement(composition(X_152,top))),X_152) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_152,top))),X_152)) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( composition(converse(complement(composition(X_152,top))),X_152) != zero
| composition(join(converse(complement(composition(X_152,top))),X_151),X_152) != join(composition(converse(complement(composition(X_152,top))),X_152),composition(X_151,X_152))
| composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = join(zero,composition(X_151,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_152,top))),X_151),X_152),join(composition(converse(complement(composition(X_152,top))),X_152),composition(X_151,X_152))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1559,plain,
( composition(join(converse(complement(composition(X_152,top))),X_151),X_152) != join(composition(converse(complement(composition(X_152,top))),X_152),composition(X_151,X_152))
| composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = join(zero,composition(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_152,top))),X_152),zero) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = join(zero,composition(X_151,X_152)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_152,top))),X_151),X_152),join(composition(converse(complement(composition(X_152,top))),X_152),composition(X_151,X_152))) )],[refute_0_1554,refute_0_1559]) ).
cnf(refute_0_1561,plain,
join(zero,composition(X_151,X_152)) = composition(X_151,X_152),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(composition(X_151,X_152)))]]) ).
cnf(refute_0_1562,plain,
( composition(join(converse(complement(composition(X_152,top))),X_151),X_152) != join(zero,composition(X_151,X_152))
| join(zero,composition(X_151,X_152)) != composition(X_151,X_152)
| composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = composition(X_151,X_152) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_152,top))),X_151),X_152),composition(X_151,X_152)) ),[0],$fot(join(zero,composition(X_151,X_152)))]]) ).
cnf(refute_0_1563,plain,
( composition(join(converse(complement(composition(X_152,top))),X_151),X_152) != join(zero,composition(X_151,X_152))
| composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = composition(X_151,X_152) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_151,X_152)),composition(X_151,X_152)) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
composition(join(converse(complement(composition(X_152,top))),X_151),X_152) = composition(X_151,X_152),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_152,top))),X_151),X_152),join(zero,composition(X_151,X_152))) )],[refute_0_1560,refute_0_1563]) ).
cnf(refute_0_1565,plain,
composition(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),X_152) = composition(join(X_201,X_199),X_152),
inference(subst,[],[refute_0_1564:[bind(X_151,$fot(join(X_201,X_199)))]]) ).
cnf(refute_0_1566,plain,
join(X_199,join(converse(complement(composition(X_152,top))),X_201)) = join(converse(complement(composition(X_152,top))),join(X_201,X_199)),
inference(subst,[],[refute_0_379:[bind(A,$fot(X_199)),bind(X_49,$fot(converse(complement(composition(X_152,top))))),bind(X_50,$fot(X_201))]]) ).
cnf(refute_0_1567,plain,
( join(X_199,join(converse(complement(composition(X_152,top))),X_201)) != join(converse(complement(composition(X_152,top))),join(X_201,X_199))
| join(converse(complement(composition(X_152,top))),join(X_201,X_199)) = join(X_199,join(converse(complement(composition(X_152,top))),X_201)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_199,join(converse(complement(composition(X_152,top))),X_201)))),bind(Y,$fot(join(converse(complement(composition(X_152,top))),join(X_201,X_199))))]]) ).
cnf(refute_0_1568,plain,
join(converse(complement(composition(X_152,top))),join(X_201,X_199)) = join(X_199,join(converse(complement(composition(X_152,top))),X_201)),
inference(resolve,[$cnf( $equal(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),join(converse(complement(composition(X_152,top))),join(X_201,X_199))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
( composition(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),X_152) != composition(join(X_201,X_199),X_152)
| join(converse(complement(composition(X_152,top))),join(X_201,X_199)) != join(X_199,join(converse(complement(composition(X_152,top))),X_201))
| composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) = composition(join(X_201,X_199),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),X_152),composition(join(X_201,X_199),X_152)) ),[0,0],$fot(join(X_199,join(converse(complement(composition(X_152,top))),X_201)))]]) ).
cnf(refute_0_1570,plain,
( composition(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),X_152) != composition(join(X_201,X_199),X_152)
| composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) = composition(join(X_201,X_199),X_152) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),join(X_199,join(converse(complement(composition(X_152,top))),X_201))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) = composition(join(X_201,X_199),X_152),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_152,top))),join(X_201,X_199)),X_152),composition(join(X_201,X_199),X_152)) )],[refute_0_1565,refute_0_1570]) ).
cnf(refute_0_1572,plain,
composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = join(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(B,C)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(join(X_159,converse(complement(composition(C,top))))))]]) ).
cnf(refute_0_1573,plain,
composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = join(composition(X_150,X_152),composition(converse(complement(composition(X_152,top))),X_152)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_150)),bind(B,$fot(converse(complement(composition(X_152,top))))),bind(C,$fot(X_152))]]) ).
cnf(refute_0_1574,plain,
( composition(converse(complement(composition(X_152,top))),X_152) != zero
| composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) != join(composition(X_150,X_152),composition(converse(complement(composition(X_152,top))),X_152))
| composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = join(composition(X_150,X_152),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,converse(complement(composition(X_152,top)))),X_152),join(composition(X_150,X_152),composition(converse(complement(composition(X_152,top))),X_152))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1575,plain,
( composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) != join(composition(X_150,X_152),composition(converse(complement(composition(X_152,top))),X_152))
| composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = join(composition(X_150,X_152),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_152,top))),X_152),zero) )],[refute_0_1557,refute_0_1574]) ).
cnf(refute_0_1576,plain,
composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = join(composition(X_150,X_152),zero),
inference(resolve,[$cnf( $equal(composition(join(X_150,converse(complement(composition(X_152,top)))),X_152),join(composition(X_150,X_152),composition(converse(complement(composition(X_152,top))),X_152))) )],[refute_0_1573,refute_0_1575]) ).
cnf(refute_0_1577,plain,
join(composition(X_150,X_152),zero) = composition(X_150,X_152),
inference(subst,[],[refute_0_783:[bind(X_89,$fot(composition(X_150,X_152)))]]) ).
cnf(refute_0_1578,plain,
( composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) != join(composition(X_150,X_152),zero)
| join(composition(X_150,X_152),zero) != composition(X_150,X_152)
| composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = composition(X_150,X_152) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_150,converse(complement(composition(X_152,top)))),X_152),composition(X_150,X_152)) ),[0],$fot(join(composition(X_150,X_152),zero))]]) ).
cnf(refute_0_1579,plain,
( composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) != join(composition(X_150,X_152),zero)
| composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = composition(X_150,X_152) ),
inference(resolve,[$cnf( $equal(join(composition(X_150,X_152),zero),composition(X_150,X_152)) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
composition(join(X_150,converse(complement(composition(X_152,top)))),X_152) = composition(X_150,X_152),
inference(resolve,[$cnf( $equal(composition(join(X_150,converse(complement(composition(X_152,top)))),X_152),join(composition(X_150,X_152),zero)) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
composition(join(X_159,converse(complement(composition(C,top)))),C) = composition(X_159,C),
inference(subst,[],[refute_0_1580:[bind(X_150,$fot(X_159)),bind(X_152,$fot(C))]]) ).
cnf(refute_0_1582,plain,
( composition(join(X_159,converse(complement(composition(C,top)))),C) != composition(X_159,C)
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != join(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(B,C))
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = join(composition(X_159,C),composition(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),join(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(B,C))) ),[1,0],$fot(composition(X_159,C))]]) ).
cnf(refute_0_1583,plain,
( composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != join(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(B,C))
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = join(composition(X_159,C),composition(B,C)) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(X_159,C)) )],[refute_0_1581,refute_0_1582]) ).
cnf(refute_0_1584,plain,
composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = join(composition(X_159,C),composition(B,C)),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),join(composition(join(X_159,converse(complement(composition(C,top)))),C),composition(B,C))) )],[refute_0_1572,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(join(X_159,converse(complement(composition(C,top)))),B) = join(X_159,join(converse(complement(composition(C,top))),B)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_159)),bind(B,$fot(converse(complement(composition(C,top))))),bind(C,$fot(B))]]) ).
cnf(refute_0_1586,plain,
composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),
introduced(tautology,[refl,[$fot(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C))]]) ).
cnf(refute_0_1587,plain,
( composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != composition(join(join(X_159,converse(complement(composition(C,top)))),B),C)
| join(join(X_159,converse(complement(composition(C,top)))),B) != join(X_159,join(converse(complement(composition(C,top))),B))
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),composition(join(join(X_159,converse(complement(composition(C,top)))),B),C)) ),[1,0],$fot(join(X_159,join(converse(complement(composition(C,top))),B)))]]) ).
cnf(refute_0_1588,plain,
( join(join(X_159,converse(complement(composition(C,top)))),B) != join(X_159,join(converse(complement(composition(C,top))),B))
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),composition(join(join(X_159,converse(complement(composition(C,top)))),B),C)) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) = composition(join(X_159,join(converse(complement(composition(C,top))),B)),C),
inference(resolve,[$cnf( $equal(join(join(X_159,converse(complement(composition(C,top)))),B),join(X_159,join(converse(complement(composition(C,top))),B))) )],[refute_0_1585,refute_0_1588]) ).
cnf(refute_0_1590,plain,
( composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != composition(join(X_159,join(converse(complement(composition(C,top))),B)),C)
| composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != join(composition(X_159,C),composition(B,C))
| composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = join(composition(X_159,C),composition(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),join(composition(X_159,C),composition(B,C))) ),[0],$fot(composition(join(X_159,join(converse(complement(composition(C,top))),B)),C))]]) ).
cnf(refute_0_1591,plain,
( composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != join(composition(X_159,C),composition(B,C))
| composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = join(composition(X_159,C),composition(B,C)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),composition(join(X_159,join(converse(complement(composition(C,top))),B)),C)) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
join(composition(X_159,C),composition(B,C)) = composition(join(X_159,B),C),
inference(subst,[],[refute_0_1400:[bind(A,$fot(X_159))]]) ).
cnf(refute_0_1593,plain,
( composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) != join(composition(X_159,C),composition(B,C))
| join(composition(X_159,C),composition(B,C)) != composition(join(X_159,B),C)
| composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = composition(join(X_159,B),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_159,join(converse(complement(composition(C,top))),B)),C),composition(join(X_159,B),C)) ),[0],$fot(join(composition(X_159,C),composition(B,C)))]]) ).
cnf(refute_0_1594,plain,
( composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) != join(composition(X_159,C),composition(B,C))
| composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = composition(join(X_159,B),C) ),
inference(resolve,[$cnf( $equal(join(composition(X_159,C),composition(B,C)),composition(join(X_159,B),C)) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( composition(join(join(X_159,converse(complement(composition(C,top)))),B),C) != join(composition(X_159,C),composition(B,C))
| composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = composition(join(X_159,B),C) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,join(converse(complement(composition(C,top))),B)),C),join(composition(X_159,C),composition(B,C))) )],[refute_0_1591,refute_0_1594]) ).
cnf(refute_0_1596,plain,
composition(join(X_159,join(converse(complement(composition(C,top))),B)),C) = composition(join(X_159,B),C),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(C,top)))),B),C),join(composition(X_159,C),composition(B,C))) )],[refute_0_1584,refute_0_1595]) ).
cnf(refute_0_1597,plain,
composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) = composition(join(X_199,X_201),X_152),
inference(subst,[],[refute_0_1596:[bind(B,$fot(X_201)),bind(C,$fot(X_152)),bind(X_159,$fot(X_199))]]) ).
cnf(refute_0_1598,plain,
( composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) != composition(join(X_199,X_201),X_152)
| composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) != composition(join(X_201,X_199),X_152)
| composition(join(X_199,X_201),X_152) = composition(join(X_201,X_199),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152),composition(join(X_201,X_199),X_152)) ),[0],$fot(composition(join(X_199,X_201),X_152))]]) ).
cnf(refute_0_1599,plain,
( composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152) != composition(join(X_201,X_199),X_152)
| composition(join(X_199,X_201),X_152) = composition(join(X_201,X_199),X_152) ),
inference(resolve,[$cnf( $equal(composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152),composition(join(X_199,X_201),X_152)) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
composition(join(X_199,X_201),X_152) = composition(join(X_201,X_199),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_199,join(converse(complement(composition(X_152,top))),X_201)),X_152),composition(join(X_201,X_199),X_152)) )],[refute_0_1571,refute_0_1599]) ).
cnf(refute_0_1601,plain,
( composition(join(X_199,X_201),X_152) != composition(join(X_201,X_199),X_152)
| composition(join(X_201,X_199),X_152) = composition(join(X_199,X_201),X_152) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_199,X_201),X_152))),bind(Y,$fot(composition(join(X_201,X_199),X_152)))]]) ).
cnf(refute_0_1602,plain,
composition(join(X_201,X_199),X_152) = composition(join(X_199,X_201),X_152),
inference(resolve,[$cnf( $equal(composition(join(X_199,X_201),X_152),composition(join(X_201,X_199),X_152)) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
composition(join(converse(top),one),complement(composition(top,X_228))) = composition(join(one,converse(top)),complement(composition(top,X_228))),
inference(subst,[],[refute_0_1602:[bind(X_152,$fot(complement(composition(top,X_228)))),bind(X_199,$fot(one)),bind(X_201,$fot(converse(top)))]]) ).
cnf(refute_0_1604,plain,
join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(join(converse(top),one),complement(composition(top,X_228))),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(converse(top))),bind(X_152,$fot(complement(composition(top,X_228))))]]) ).
cnf(refute_0_1605,plain,
( composition(join(converse(top),one),complement(composition(top,X_228))) != composition(join(one,converse(top)),complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) != composition(join(converse(top),one),complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(join(one,converse(top)),complement(composition(top,X_228))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_228))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_228)))))]]) ).
cnf(refute_0_1606,plain,
( composition(join(converse(top),one),complement(composition(top,X_228))) != composition(join(one,converse(top)),complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(join(one,converse(top)),complement(composition(top,X_228))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))),composition(join(converse(top),one),complement(composition(top,X_228)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(join(one,converse(top)),complement(composition(top,X_228))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_228))),composition(join(one,converse(top)),complement(composition(top,X_228)))) )],[refute_0_1603,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( composition(join(one,converse(top)),complement(composition(top,X_228))) != composition(top,complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) != composition(join(one,converse(top)),complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(top,complement(composition(top,X_228))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_228))))),bind(Z,$fot(composition(top,complement(composition(top,X_228)))))]]) ).
cnf(refute_0_1609,plain,
( composition(join(one,converse(top)),complement(composition(top,X_228))) != composition(top,complement(composition(top,X_228)))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(top,complement(composition(top,X_228))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))),composition(join(one,converse(top)),complement(composition(top,X_228)))) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) = composition(top,complement(composition(top,X_228))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_228))),composition(top,complement(composition(top,X_228)))) )],[refute_0_1553,refute_0_1609]) ).
cnf(refute_0_1611,plain,
( join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) != complement(composition(top,X_228))
| join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) != composition(top,complement(composition(top,X_228)))
| composition(top,complement(composition(top,X_228))) = complement(composition(top,X_228)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))),complement(composition(top,X_228))) ),[0],$fot(composition(top,complement(composition(top,X_228))))]]) ).
cnf(refute_0_1612,plain,
( join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))) != complement(composition(top,X_228))
| composition(top,complement(composition(top,X_228))) = complement(composition(top,X_228)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))),composition(top,complement(composition(top,X_228)))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
composition(top,complement(composition(top,X_228))) = complement(composition(top,X_228)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_228)),composition(converse(top),complement(composition(top,X_228)))),complement(composition(top,X_228))) )],[refute_0_1538,refute_0_1612]) ).
cnf(refute_0_1614,plain,
composition(top,complement(composition(top,X_185))) = complement(composition(top,X_185)),
inference(subst,[],[refute_0_1613:[bind(X_228,$fot(X_185))]]) ).
cnf(refute_0_1615,plain,
meet(X_185,composition(top,complement(composition(top,X_185)))) = meet(X_185,composition(top,complement(composition(top,X_185)))),
introduced(tautology,[refl,[$fot(meet(X_185,composition(top,complement(composition(top,X_185)))))]]) ).
cnf(refute_0_1616,plain,
( composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| meet(X_185,composition(top,complement(composition(top,X_185)))) != meet(X_185,composition(top,complement(composition(top,X_185))))
| meet(X_185,composition(top,complement(composition(top,X_185)))) = meet(X_185,complement(composition(top,X_185))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_185,composition(top,complement(composition(top,X_185)))),meet(X_185,composition(top,complement(composition(top,X_185))))) ),[1,1],$fot(complement(composition(top,X_185)))]]) ).
cnf(refute_0_1617,plain,
( composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| meet(X_185,composition(top,complement(composition(top,X_185)))) = meet(X_185,complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(meet(X_185,composition(top,complement(composition(top,X_185)))),meet(X_185,composition(top,complement(composition(top,X_185))))) )],[refute_0_1615,refute_0_1616]) ).
cnf(refute_0_1618,plain,
meet(X_185,composition(top,complement(composition(top,X_185)))) = meet(X_185,complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_1614,refute_0_1617]) ).
cnf(refute_0_1619,plain,
join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) = join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))),
introduced(tautology,[refl,[$fot(join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))))]]) ).
cnf(refute_0_1620,plain,
( join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) != join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))
| meet(X_185,composition(top,complement(composition(top,X_185)))) != meet(X_185,complement(composition(top,X_185)))
| join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) = join(X_185,meet(X_185,complement(composition(top,X_185)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))),join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))) ),[1,1],$fot(meet(X_185,complement(composition(top,X_185))))]]) ).
cnf(refute_0_1621,plain,
( meet(X_185,composition(top,complement(composition(top,X_185)))) != meet(X_185,complement(composition(top,X_185)))
| join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) = join(X_185,meet(X_185,complement(composition(top,X_185)))) ),
inference(resolve,[$cnf( $equal(join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))),join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))) )],[refute_0_1619,refute_0_1620]) ).
cnf(refute_0_1622,plain,
join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) = join(X_185,meet(X_185,complement(composition(top,X_185)))),
inference(resolve,[$cnf( $equal(meet(X_185,composition(top,complement(composition(top,X_185)))),meet(X_185,complement(composition(top,X_185)))) )],[refute_0_1618,refute_0_1621]) ).
cnf(refute_0_1623,plain,
( X_185 != join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))
| join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))) != join(X_185,meet(X_185,complement(composition(top,X_185))))
| X_185 = join(X_185,meet(X_185,complement(composition(top,X_185)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_185,join(X_185,meet(X_185,complement(composition(top,X_185))))) ),[0],$fot(join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))))]]) ).
cnf(refute_0_1624,plain,
( X_185 != join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))
| X_185 = join(X_185,meet(X_185,complement(composition(top,X_185)))) ),
inference(resolve,[$cnf( $equal(join(X_185,meet(X_185,composition(top,complement(composition(top,X_185))))),join(X_185,meet(X_185,complement(composition(top,X_185))))) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
X_185 = join(X_185,meet(X_185,complement(composition(top,X_185)))),
inference(resolve,[$cnf( $equal(X_185,join(X_185,meet(X_185,composition(top,complement(composition(top,X_185)))))) )],[refute_0_1092,refute_0_1624]) ).
cnf(refute_0_1626,plain,
converse(X_8) = join(converse(X_8),meet(converse(X_8),complement(composition(top,converse(X_8))))),
inference(subst,[],[refute_0_1625:[bind(X_185,$fot(converse(X_8)))]]) ).
cnf(refute_0_1627,plain,
converse(composition(X_8,converse(A))) = composition(converse(converse(A)),converse(X_8)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_8)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_1628,plain,
( converse(composition(X_8,converse(A))) != composition(converse(converse(A)),converse(X_8))
| converse(converse(A)) != A
| converse(composition(X_8,converse(A))) = composition(A,converse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_8,converse(A))),composition(converse(converse(A)),converse(X_8))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_1629,plain,
( converse(composition(X_8,converse(A))) != composition(converse(converse(A)),converse(X_8))
| converse(composition(X_8,converse(A))) = composition(A,converse(X_8)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1628]) ).
cnf(refute_0_1630,plain,
converse(composition(X_8,converse(A))) = composition(A,converse(X_8)),
inference(resolve,[$cnf( $equal(converse(composition(X_8,converse(A))),composition(converse(converse(A)),converse(X_8))) )],[refute_0_1627,refute_0_1629]) ).
cnf(refute_0_1631,plain,
converse(composition(X_8,converse(top))) = composition(top,converse(X_8)),
inference(subst,[],[refute_0_1630:[bind(A,$fot(top))]]) ).
cnf(refute_0_1632,plain,
( converse(composition(X_8,converse(top))) != composition(top,converse(X_8))
| converse(top) != top
| converse(composition(X_8,top)) = composition(top,converse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_8,converse(top))),composition(top,converse(X_8))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1633,plain,
( converse(composition(X_8,converse(top))) != composition(top,converse(X_8))
| converse(composition(X_8,top)) = composition(top,converse(X_8)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1632]) ).
cnf(refute_0_1634,plain,
converse(composition(X_8,top)) = composition(top,converse(X_8)),
inference(resolve,[$cnf( $equal(converse(composition(X_8,converse(top))),composition(top,converse(X_8))) )],[refute_0_1631,refute_0_1633]) ).
cnf(refute_0_1635,plain,
( converse(composition(X_8,top)) != composition(top,converse(X_8))
| composition(top,converse(X_8)) = converse(composition(X_8,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_8,top)))),bind(Y,$fot(composition(top,converse(X_8))))]]) ).
cnf(refute_0_1636,plain,
composition(top,converse(X_8)) = converse(composition(X_8,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_8,top)),composition(top,converse(X_8))) )],[refute_0_1634,refute_0_1635]) ).
cnf(refute_0_1637,plain,
( composition(top,converse(X_8)) != converse(composition(X_8,top))
| converse(X_8) != join(converse(X_8),meet(converse(X_8),complement(composition(top,converse(X_8)))))
| converse(X_8) = join(converse(X_8),meet(converse(X_8),complement(converse(composition(X_8,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_8),join(converse(X_8),meet(converse(X_8),complement(composition(top,converse(X_8)))))) ),[1,1,1,0],$fot(converse(composition(X_8,top)))]]) ).
cnf(refute_0_1638,plain,
( converse(X_8) != join(converse(X_8),meet(converse(X_8),complement(composition(top,converse(X_8)))))
| converse(X_8) = join(converse(X_8),meet(converse(X_8),complement(converse(composition(X_8,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_8)),converse(composition(X_8,top))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
converse(X_8) = join(converse(X_8),meet(converse(X_8),complement(converse(composition(X_8,top))))),
inference(resolve,[$cnf( $equal(converse(X_8),join(converse(X_8),meet(converse(X_8),complement(composition(top,converse(X_8)))))) )],[refute_0_1626,refute_0_1638]) ).
cnf(refute_0_1640,plain,
converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),
inference(subst,[],[refute_0_1639:[bind(X_8,$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_1641,plain,
converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = join(one,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),
inference(subst,[],[refute_0_449:[bind(X_5,$fot(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_1642,plain,
join(sk1,join(meet(one,complement(sk1)),C)) = join(join(sk1,meet(one,complement(sk1))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_1643,plain,
one = join(meet(one,sk1),meet(complement(sk1),one)),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(one)),bind(X_88,$fot(sk1))]]) ).
cnf(refute_0_1644,plain,
sk1 = meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1))))))),
inference(subst,[],[refute_0_1056:[bind(X_87,$fot(sk1))]]) ).
cnf(refute_0_1645,plain,
join(one,join(sk1,X_51)) = join(join(one,sk1),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(sk1)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_1646,plain,
join(sk1,one) = join(one,sk1),
inference(subst,[],[refute_0_4:[bind(A,$fot(one)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_1647,plain,
( join(sk1,one) != join(one,sk1)
| join(sk1,one) != one
| join(one,sk1) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,one),one) ),[0],$fot(join(one,sk1))]]) ).
cnf(refute_0_1648,plain,
( join(sk1,one) != one
| join(one,sk1) = one ),
inference(resolve,[$cnf( $equal(join(sk1,one),join(one,sk1)) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(one,sk1) = one,
inference(resolve,[$cnf( $equal(join(sk1,one),one) )],[goals_14,refute_0_1648]) ).
cnf(refute_0_1650,plain,
( join(one,join(sk1,X_51)) != join(join(one,sk1),X_51)
| join(one,sk1) != one
| join(one,join(sk1,X_51)) = join(one,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,X_51)),join(join(one,sk1),X_51)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1651,plain,
( join(one,join(sk1,X_51)) != join(join(one,sk1),X_51)
| join(one,join(sk1,X_51)) = join(one,X_51) ),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
join(one,join(sk1,X_51)) = join(one,X_51),
inference(resolve,[$cnf( $equal(join(one,join(sk1,X_51)),join(join(one,sk1),X_51)) )],[refute_0_1645,refute_0_1651]) ).
cnf(refute_0_1653,plain,
join(one,join(sk1,complement(sk1))) = join(one,complement(sk1)),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(complement(sk1)))]]) ).
cnf(refute_0_1654,plain,
top = join(sk1,complement(sk1)),
inference(subst,[],[def_top_12:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_1655,plain,
( top != join(sk1,complement(sk1))
| join(sk1,complement(sk1)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,complement(sk1))))]]) ).
cnf(refute_0_1656,plain,
join(sk1,complement(sk1)) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,complement(sk1))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
( join(one,join(sk1,complement(sk1))) != join(one,complement(sk1))
| join(sk1,complement(sk1)) != top
| join(one,top) = join(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,complement(sk1))),join(one,complement(sk1))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1658,plain,
( join(one,join(sk1,complement(sk1))) != join(one,complement(sk1))
| join(one,top) = join(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk1)),top) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
join(one,top) = join(one,complement(sk1)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(sk1))),join(one,complement(sk1))) )],[refute_0_1653,refute_0_1658]) ).
cnf(refute_0_1660,plain,
( join(one,top) != join(one,complement(sk1))
| join(one,top) != top
| top = join(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(sk1))) ),[0],$fot(top)]]) ).
cnf(refute_0_1661,plain,
( join(one,top) != join(one,complement(sk1))
| top = join(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_1660]) ).
cnf(refute_0_1662,plain,
top = join(one,complement(sk1)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(sk1))) )],[refute_0_1659,refute_0_1661]) ).
cnf(refute_0_1663,plain,
( top != join(one,complement(sk1))
| join(one,complement(sk1)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(sk1))))]]) ).
cnf(refute_0_1664,plain,
join(one,complement(sk1)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(sk1))) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( join(one,complement(sk1)) != top
| sk1 != meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))
| sk1 = meet(sk1,converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_1666,plain,
( sk1 != meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))
| sk1 = meet(sk1,converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
sk1 = meet(sk1,converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))) )],[refute_0_1644,refute_0_1666]) ).
cnf(refute_0_1668,plain,
meet(sk1,one) = meet(one,sk1),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(sk1))]]) ).
cnf(refute_0_1669,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_783:[bind(X_89,$fot(one))]]) ).
cnf(refute_0_1670,plain,
join(one,complement(converse(top))) = join(one,complement(converse(top))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(top))))]]) ).
cnf(refute_0_1671,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) != join(one,complement(converse(top)))
| join(one,complement(converse(top))) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1672,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
join(one,complement(converse(top))) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_924,refute_0_1672]) ).
cnf(refute_0_1674,plain,
( join(one,complement(converse(top))) != join(one,zero)
| join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,complement(converse(top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1675,plain,
( join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,zero)) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
join(one,complement(converse(top))) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_1669,refute_0_1675]) ).
cnf(refute_0_1677,plain,
converse(join(one,complement(converse(top)))) = converse(join(one,complement(converse(top)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_1678,plain,
( converse(join(one,complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1679,plain,
( join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
converse(join(one,complement(converse(top)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),one) )],[refute_0_1676,refute_0_1679]) ).
cnf(refute_0_1681,plain,
( converse(join(one,complement(converse(top)))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,complement(converse(top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1682,plain,
( converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(one)) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
converse(join(one,complement(converse(top)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_1682]) ).
cnf(refute_0_1684,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(sk1,converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_1685,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(sk1,converse(join(one,complement(converse(top))))) != meet(sk1,converse(join(one,complement(converse(top)))))
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1686,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,converse(join(one,complement(converse(top)))))) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( meet(sk1,converse(join(one,complement(converse(top))))) != meet(sk1,one)
| meet(sk1,one) != meet(one,sk1)
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(sk1,converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(sk1,one))),bind(Z,$fot(meet(one,sk1)))]]) ).
cnf(refute_0_1689,plain,
( meet(sk1,one) != meet(one,sk1)
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,one)) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1),
inference(resolve,[$cnf( $equal(meet(sk1,one),meet(one,sk1)) )],[refute_0_1668,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( meet(sk1,converse(join(one,complement(converse(top))))) != meet(one,sk1)
| sk1 != meet(sk1,converse(join(one,complement(converse(top)))))
| sk1 = meet(one,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(top)))))) ),[1],$fot(meet(one,sk1))]]) ).
cnf(refute_0_1692,plain,
( sk1 != meet(sk1,converse(join(one,complement(converse(top)))))
| sk1 = meet(one,sk1) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(one,sk1)) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
sk1 = meet(one,sk1),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(top)))))) )],[refute_0_1667,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( sk1 != meet(one,sk1)
| meet(one,sk1) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(one,sk1)))]]) ).
cnf(refute_0_1695,plain,
meet(one,sk1) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(one,sk1)) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
( meet(one,sk1) != sk1
| one != join(meet(one,sk1),meet(complement(sk1),one))
| one = join(sk1,meet(complement(sk1),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,sk1),meet(complement(sk1),one))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1697,plain,
( one != join(meet(one,sk1),meet(complement(sk1),one))
| one = join(sk1,meet(complement(sk1),one)) ),
inference(resolve,[$cnf( $equal(meet(one,sk1),sk1) )],[refute_0_1695,refute_0_1696]) ).
cnf(refute_0_1698,plain,
one = join(sk1,meet(complement(sk1),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,sk1),meet(complement(sk1),one))) )],[refute_0_1643,refute_0_1697]) ).
cnf(refute_0_1699,plain,
meet(complement(sk1),one) = meet(one,complement(sk1)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(complement(sk1)))]]) ).
cnf(refute_0_1700,plain,
join(sk1,meet(complement(sk1),one)) = join(sk1,meet(complement(sk1),one)),
introduced(tautology,[refl,[$fot(join(sk1,meet(complement(sk1),one)))]]) ).
cnf(refute_0_1701,plain,
( join(sk1,meet(complement(sk1),one)) != join(sk1,meet(complement(sk1),one))
| meet(complement(sk1),one) != meet(one,complement(sk1))
| join(sk1,meet(complement(sk1),one)) = join(sk1,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(complement(sk1),one)),join(sk1,meet(complement(sk1),one))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_1702,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| join(sk1,meet(complement(sk1),one)) = join(sk1,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),one)),join(sk1,meet(complement(sk1),one))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
join(sk1,meet(complement(sk1),one)) = join(sk1,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_1699,refute_0_1702]) ).
cnf(refute_0_1704,plain,
( join(sk1,meet(complement(sk1),one)) != join(sk1,meet(one,complement(sk1)))
| one != join(sk1,meet(complement(sk1),one))
| one = join(sk1,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(sk1,meet(complement(sk1),one))) ),[1],$fot(join(sk1,meet(one,complement(sk1))))]]) ).
cnf(refute_0_1705,plain,
( one != join(sk1,meet(complement(sk1),one))
| one = join(sk1,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),one)),join(sk1,meet(one,complement(sk1)))) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
one = join(sk1,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(one,join(sk1,meet(complement(sk1),one))) )],[refute_0_1698,refute_0_1705]) ).
cnf(refute_0_1707,plain,
( one != join(sk1,meet(one,complement(sk1)))
| join(sk1,meet(one,complement(sk1))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_1708,plain,
join(sk1,meet(one,complement(sk1))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,meet(one,complement(sk1)))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
( join(sk1,join(meet(one,complement(sk1)),C)) != join(join(sk1,meet(one,complement(sk1))),C)
| join(sk1,meet(one,complement(sk1))) != one
| join(sk1,join(meet(one,complement(sk1)),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),C)),join(join(sk1,meet(one,complement(sk1))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1710,plain,
( join(sk1,join(meet(one,complement(sk1)),C)) != join(join(sk1,meet(one,complement(sk1))),C)
| join(sk1,join(meet(one,complement(sk1)),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(one,complement(sk1))),one) )],[refute_0_1708,refute_0_1709]) ).
cnf(refute_0_1711,plain,
join(sk1,join(meet(one,complement(sk1)),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),C)),join(join(sk1,meet(one,complement(sk1))),C)) )],[refute_0_1642,refute_0_1710]) ).
cnf(refute_0_1712,plain,
join(sk1,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_1711:[bind(C,$fot(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_1713,plain,
converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(join(one,complement(join(sk1,converse(A))))))]]) ).
cnf(refute_0_1714,plain,
join(join(X_115,complement(join(sk1,X_115))),one) = join(one,join(X_115,complement(join(sk1,X_115)))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_115,complement(join(sk1,X_115))))),bind(B,$fot(one))]]) ).
cnf(refute_0_1715,plain,
join(one,join(sk1,join(X_56,complement(join(sk1,X_56))))) = join(one,join(X_56,complement(join(sk1,X_56)))),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(join(X_56,complement(join(sk1,X_56)))))]]) ).
cnf(refute_0_1716,plain,
top = join(sk1,join(X_56,complement(join(sk1,X_56)))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(sk1)),bind(X_50,$fot(X_56))]]) ).
cnf(refute_0_1717,plain,
( top != join(sk1,join(X_56,complement(join(sk1,X_56))))
| join(sk1,join(X_56,complement(join(sk1,X_56)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(X_56,complement(join(sk1,X_56))))))]]) ).
cnf(refute_0_1718,plain,
join(sk1,join(X_56,complement(join(sk1,X_56)))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(X_56,complement(join(sk1,X_56))))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
( join(one,join(sk1,join(X_56,complement(join(sk1,X_56))))) != join(one,join(X_56,complement(join(sk1,X_56))))
| join(sk1,join(X_56,complement(join(sk1,X_56)))) != top
| join(one,top) = join(one,join(X_56,complement(join(sk1,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(X_56,complement(join(sk1,X_56))))),join(one,join(X_56,complement(join(sk1,X_56))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1720,plain,
( join(one,join(sk1,join(X_56,complement(join(sk1,X_56))))) != join(one,join(X_56,complement(join(sk1,X_56))))
| join(one,top) = join(one,join(X_56,complement(join(sk1,X_56)))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_56,complement(join(sk1,X_56)))),top) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
join(one,top) = join(one,join(X_56,complement(join(sk1,X_56)))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(X_56,complement(join(sk1,X_56))))),join(one,join(X_56,complement(join(sk1,X_56))))) )],[refute_0_1715,refute_0_1720]) ).
cnf(refute_0_1722,plain,
( join(one,top) != join(one,join(X_56,complement(join(sk1,X_56))))
| join(one,top) != top
| top = join(one,join(X_56,complement(join(sk1,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_56,complement(join(sk1,X_56))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1723,plain,
( join(one,top) != join(one,join(X_56,complement(join(sk1,X_56))))
| top = join(one,join(X_56,complement(join(sk1,X_56)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_1722]) ).
cnf(refute_0_1724,plain,
top = join(one,join(X_56,complement(join(sk1,X_56)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_56,complement(join(sk1,X_56))))) )],[refute_0_1721,refute_0_1723]) ).
cnf(refute_0_1725,plain,
top = join(one,join(X_115,complement(join(sk1,X_115)))),
inference(subst,[],[refute_0_1724:[bind(X_56,$fot(X_115))]]) ).
cnf(refute_0_1726,plain,
( top != join(one,join(X_115,complement(join(sk1,X_115))))
| join(one,join(X_115,complement(join(sk1,X_115)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_115,complement(join(sk1,X_115))))))]]) ).
cnf(refute_0_1727,plain,
join(one,join(X_115,complement(join(sk1,X_115)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_115,complement(join(sk1,X_115))))) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
( join(join(X_115,complement(join(sk1,X_115))),one) != join(one,join(X_115,complement(join(sk1,X_115))))
| join(one,join(X_115,complement(join(sk1,X_115)))) != top
| join(join(X_115,complement(join(sk1,X_115))),one) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(X_115,complement(join(sk1,X_115))),one),top) ),[0],$fot(join(one,join(X_115,complement(join(sk1,X_115)))))]]) ).
cnf(refute_0_1729,plain,
( join(join(X_115,complement(join(sk1,X_115))),one) != join(one,join(X_115,complement(join(sk1,X_115))))
| join(join(X_115,complement(join(sk1,X_115))),one) = top ),
inference(resolve,[$cnf( $equal(join(one,join(X_115,complement(join(sk1,X_115)))),top) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
join(join(X_115,complement(join(sk1,X_115))),one) = top,
inference(resolve,[$cnf( $equal(join(join(X_115,complement(join(sk1,X_115))),one),join(one,join(X_115,complement(join(sk1,X_115))))) )],[refute_0_1714,refute_0_1729]) ).
cnf(refute_0_1731,plain,
join(X_51,X_50) = join(X_50,X_51),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_51)),bind(B,$fot(X_50))]]) ).
cnf(refute_0_1732,plain,
( join(X_51,X_50) != join(X_50,X_51)
| join(X_50,X_51) = join(X_51,X_50) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_51,X_50))),bind(Y,$fot(join(X_50,X_51)))]]) ).
cnf(refute_0_1733,plain,
join(X_50,X_51) = join(X_51,X_50),
inference(resolve,[$cnf( $equal(join(X_51,X_50),join(X_50,X_51)) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
( join(X_49,join(X_50,X_51)) != join(join(X_49,X_50),X_51)
| join(X_50,X_51) != join(X_51,X_50)
| join(X_49,join(X_51,X_50)) = join(join(X_49,X_50),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(join(X_49,X_50),X_51)) ),[0,1],$fot(join(X_51,X_50))]]) ).
cnf(refute_0_1735,plain,
( join(X_49,join(X_50,X_51)) != join(join(X_49,X_50),X_51)
| join(X_49,join(X_51,X_50)) = join(join(X_49,X_50),X_51) ),
inference(resolve,[$cnf( $equal(join(X_50,X_51),join(X_51,X_50)) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(X_49,join(X_51,X_50)) = join(join(X_49,X_50),X_51),
inference(resolve,[$cnf( $equal(join(X_49,join(X_50,X_51)),join(join(X_49,X_50),X_51)) )],[refute_0_399,refute_0_1735]) ).
cnf(refute_0_1737,plain,
join(join(X_49,X_50),X_51) = join(X_49,join(X_50,X_51)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_1738,plain,
( join(X_49,join(X_51,X_50)) != join(join(X_49,X_50),X_51)
| join(join(X_49,X_50),X_51) != join(X_49,join(X_50,X_51))
| join(X_49,join(X_51,X_50)) = join(X_49,join(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_49,join(X_51,X_50)),join(X_49,join(X_50,X_51))) ),[0],$fot(join(join(X_49,X_50),X_51))]]) ).
cnf(refute_0_1739,plain,
( join(X_49,join(X_51,X_50)) != join(join(X_49,X_50),X_51)
| join(X_49,join(X_51,X_50)) = join(X_49,join(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(join(join(X_49,X_50),X_51),join(X_49,join(X_50,X_51))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
join(X_49,join(X_51,X_50)) = join(X_49,join(X_50,X_51)),
inference(resolve,[$cnf( $equal(join(X_49,join(X_51,X_50)),join(join(X_49,X_50),X_51)) )],[refute_0_1736,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( join(X_49,join(X_51,X_50)) != join(X_49,join(X_50,X_51))
| join(X_49,join(X_50,X_51)) = join(X_49,join(X_51,X_50)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,join(X_51,X_50)))),bind(Y,$fot(join(X_49,join(X_50,X_51))))]]) ).
cnf(refute_0_1742,plain,
join(X_49,join(X_50,X_51)) = join(X_49,join(X_51,X_50)),
inference(resolve,[$cnf( $equal(join(X_49,join(X_51,X_50)),join(X_49,join(X_50,X_51))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
join(X_115,join(complement(join(sk1,X_115)),one)) = join(X_115,join(one,complement(join(sk1,X_115)))),
inference(subst,[],[refute_0_1742:[bind(X_49,$fot(X_115)),bind(X_50,$fot(complement(join(sk1,X_115)))),bind(X_51,$fot(one))]]) ).
cnf(refute_0_1744,plain,
join(join(X_115,complement(join(sk1,X_115))),one) = join(X_115,join(complement(join(sk1,X_115)),one)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_115)),bind(B,$fot(complement(join(sk1,X_115)))),bind(C,$fot(one))]]) ).
cnf(refute_0_1745,plain,
( join(X_115,join(complement(join(sk1,X_115)),one)) != join(X_115,join(one,complement(join(sk1,X_115))))
| join(join(X_115,complement(join(sk1,X_115))),one) != join(X_115,join(complement(join(sk1,X_115)),one))
| join(join(X_115,complement(join(sk1,X_115))),one) = join(X_115,join(one,complement(join(sk1,X_115)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_115,complement(join(sk1,X_115))),one))),bind(Y,$fot(join(X_115,join(complement(join(sk1,X_115)),one)))),bind(Z,$fot(join(X_115,join(one,complement(join(sk1,X_115))))))]]) ).
cnf(refute_0_1746,plain,
( join(X_115,join(complement(join(sk1,X_115)),one)) != join(X_115,join(one,complement(join(sk1,X_115))))
| join(join(X_115,complement(join(sk1,X_115))),one) = join(X_115,join(one,complement(join(sk1,X_115)))) ),
inference(resolve,[$cnf( $equal(join(join(X_115,complement(join(sk1,X_115))),one),join(X_115,join(complement(join(sk1,X_115)),one))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
join(join(X_115,complement(join(sk1,X_115))),one) = join(X_115,join(one,complement(join(sk1,X_115)))),
inference(resolve,[$cnf( $equal(join(X_115,join(complement(join(sk1,X_115)),one)),join(X_115,join(one,complement(join(sk1,X_115))))) )],[refute_0_1743,refute_0_1746]) ).
cnf(refute_0_1748,plain,
( join(join(X_115,complement(join(sk1,X_115))),one) != join(X_115,join(one,complement(join(sk1,X_115))))
| join(join(X_115,complement(join(sk1,X_115))),one) != top
| join(X_115,join(one,complement(join(sk1,X_115)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_115,complement(join(sk1,X_115))),one),top) ),[0],$fot(join(X_115,join(one,complement(join(sk1,X_115)))))]]) ).
cnf(refute_0_1749,plain,
( join(join(X_115,complement(join(sk1,X_115))),one) != top
| join(X_115,join(one,complement(join(sk1,X_115)))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_115,complement(join(sk1,X_115))),one),join(X_115,join(one,complement(join(sk1,X_115))))) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
join(X_115,join(one,complement(join(sk1,X_115)))) = top,
inference(resolve,[$cnf( $equal(join(join(X_115,complement(join(sk1,X_115))),one),top) )],[refute_0_1730,refute_0_1749]) ).
cnf(refute_0_1751,plain,
join(converse(A),join(one,complement(join(sk1,converse(A))))) = top,
inference(subst,[],[refute_0_1750:[bind(X_115,$fot(converse(A)))]]) ).
cnf(refute_0_1752,plain,
( converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| join(converse(A),join(one,complement(join(sk1,converse(A))))) != top
| converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))),join(A,converse(join(one,complement(join(sk1,converse(A))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1753,plain,
( converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(one,complement(join(sk1,converse(A))))),top) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))),join(A,converse(join(one,complement(join(sk1,converse(A))))))) )],[refute_0_1713,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( converse(top) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| converse(top) != top
| top = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(join(one,complement(join(sk1,converse(A))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1756,plain,
( converse(top) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| top = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_1755]) ).
cnf(refute_0_1757,plain,
top = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(join(one,complement(join(sk1,converse(A))))))) )],[refute_0_1754,refute_0_1756]) ).
cnf(refute_0_1758,plain,
top = join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_1757:[bind(A,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_1759,plain,
( top != join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_1760,plain,
join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
( join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != top
| join(sk1,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| join(sk1,top) = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1762,plain,
( join(sk1,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| join(sk1,top) = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),top) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
join(sk1,top) = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1712,refute_0_1762]) ).
cnf(refute_0_1764,plain,
join(sk1,top) = top,
inference(subst,[],[refute_0_502:[bind(X_55,$fot(sk1))]]) ).
cnf(refute_0_1765,plain,
( join(sk1,top) != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| join(sk1,top) != top
| top = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1766,plain,
( join(sk1,top) != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| top = join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1764,refute_0_1765]) ).
cnf(refute_0_1767,plain,
join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_1768,plain,
( join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| top != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| top = converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) ),[1],$fot(converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_1769,plain,
( top != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| top = converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1767,refute_0_1768]) ).
cnf(refute_0_1770,plain,
( join(sk1,top) != join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| top = converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1766,refute_0_1769]) ).
cnf(refute_0_1771,plain,
top = converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(resolve,[$cnf( $equal(join(sk1,top),join(one,converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1763,refute_0_1770]) ).
cnf(refute_0_1772,plain,
( top != converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))
| converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_1773,plain,
converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
( converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != top
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1775,plain,
( converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = join(one,top) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),top) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = join(one,top),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,converse(join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))) )],[refute_0_1641,refute_0_1775]) ).
cnf(refute_0_1777,plain,
join(A,join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),
inference(subst,[],[refute_0_379:[bind(X_49,$fot(complement(X_224))),bind(X_50,$fot(meet(X_224,converse(complement(converse(X_224))))))]]) ).
cnf(refute_0_1778,plain,
( join(A,join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))) != converse(complement(converse(X_224)))
| join(A,converse(complement(converse(X_224)))) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) ),[0,1],$fot(converse(complement(converse(X_224))))]]) ).
cnf(refute_0_1779,plain,
( join(A,join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(A,converse(complement(converse(X_224)))) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(X_224),meet(X_224,converse(complement(converse(X_224))))),converse(complement(converse(X_224)))) )],[refute_0_789,refute_0_1778]) ).
cnf(refute_0_1780,plain,
join(A,converse(complement(converse(X_224)))) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(X_224),meet(X_224,converse(complement(converse(X_224)))))),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) )],[refute_0_1777,refute_0_1779]) ).
cnf(refute_0_1781,plain,
converse(converse(X_224)) = X_224,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_224))]]) ).
cnf(refute_0_1782,plain,
complement(converse(converse(X_224))) = complement(converse(converse(X_224))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_224))))]]) ).
cnf(refute_0_1783,plain,
( complement(converse(converse(X_224))) != complement(converse(converse(X_224)))
| converse(converse(X_224)) != X_224
| complement(converse(converse(X_224))) = complement(X_224) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_224))),complement(converse(converse(X_224)))) ),[1,0],$fot(X_224)]]) ).
cnf(refute_0_1784,plain,
( converse(converse(X_224)) != X_224
| complement(converse(converse(X_224))) = complement(X_224) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_224))),complement(converse(converse(X_224)))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
complement(converse(converse(X_224))) = complement(X_224),
inference(resolve,[$cnf( $equal(converse(converse(X_224)),X_224) )],[refute_0_1781,refute_0_1784]) ).
cnf(refute_0_1786,plain,
converse(complement(converse(X_224))) = complement(converse(converse(X_224))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(X_224)))]]) ).
cnf(refute_0_1787,plain,
( complement(converse(converse(X_224))) != complement(X_224)
| converse(complement(converse(X_224))) != complement(converse(converse(X_224)))
| converse(complement(converse(X_224))) = complement(X_224) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(X_224))))),bind(Y,$fot(complement(converse(converse(X_224))))),bind(Z,$fot(complement(X_224)))]]) ).
cnf(refute_0_1788,plain,
( complement(converse(converse(X_224))) != complement(X_224)
| converse(complement(converse(X_224))) = complement(X_224) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_224))),complement(converse(converse(X_224)))) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
converse(complement(converse(X_224))) = complement(X_224),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_224))),complement(X_224)) )],[refute_0_1785,refute_0_1788]) ).
cnf(refute_0_1790,plain,
join(A,converse(complement(converse(X_224)))) = join(A,converse(complement(converse(X_224)))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(converse(X_224)))))]]) ).
cnf(refute_0_1791,plain,
( converse(complement(converse(X_224))) != complement(X_224)
| join(A,converse(complement(converse(X_224)))) != join(A,converse(complement(converse(X_224))))
| join(A,converse(complement(converse(X_224)))) = join(A,complement(X_224)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_224)))),join(A,converse(complement(converse(X_224))))) ),[1,1],$fot(complement(X_224))]]) ).
cnf(refute_0_1792,plain,
( converse(complement(converse(X_224))) != complement(X_224)
| join(A,converse(complement(converse(X_224)))) = join(A,complement(X_224)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_224)))),join(A,converse(complement(converse(X_224))))) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
join(A,converse(complement(converse(X_224)))) = join(A,complement(X_224)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_224))),complement(X_224)) )],[refute_0_1789,refute_0_1792]) ).
cnf(refute_0_1794,plain,
( join(A,converse(complement(converse(X_224)))) != join(A,complement(X_224))
| join(A,converse(complement(converse(X_224)))) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(A,complement(X_224)) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_224)))),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) ),[0],$fot(join(A,complement(X_224)))]]) ).
cnf(refute_0_1795,plain,
( join(A,converse(complement(converse(X_224)))) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(A,complement(X_224)) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_224)))),join(A,complement(X_224))) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
join(zero,A) = A,
inference(subst,[],[refute_0_217:[bind(X_89,$fot(A))]]) ).
cnf(refute_0_1797,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_1798,plain,
meet(A,complement(A)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(A,complement(A))) )],[def_zero_13,refute_0_1797]) ).
cnf(refute_0_1799,plain,
meet(X_224,complement(X_224)) = zero,
inference(subst,[],[refute_0_1798:[bind(A,$fot(X_224))]]) ).
cnf(refute_0_1800,plain,
meet(X_224,converse(complement(converse(X_224)))) = meet(X_224,converse(complement(converse(X_224)))),
introduced(tautology,[refl,[$fot(meet(X_224,converse(complement(converse(X_224)))))]]) ).
cnf(refute_0_1801,plain,
( converse(complement(converse(X_224))) != complement(X_224)
| meet(X_224,converse(complement(converse(X_224)))) != meet(X_224,converse(complement(converse(X_224))))
| meet(X_224,converse(complement(converse(X_224)))) = meet(X_224,complement(X_224)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_224,converse(complement(converse(X_224)))),meet(X_224,converse(complement(converse(X_224))))) ),[1,1],$fot(complement(X_224))]]) ).
cnf(refute_0_1802,plain,
( converse(complement(converse(X_224))) != complement(X_224)
| meet(X_224,converse(complement(converse(X_224)))) = meet(X_224,complement(X_224)) ),
inference(resolve,[$cnf( $equal(meet(X_224,converse(complement(converse(X_224)))),meet(X_224,converse(complement(converse(X_224))))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
meet(X_224,converse(complement(converse(X_224)))) = meet(X_224,complement(X_224)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_224))),complement(X_224)) )],[refute_0_1789,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( meet(X_224,complement(X_224)) != zero
| meet(X_224,converse(complement(converse(X_224)))) != meet(X_224,complement(X_224))
| meet(X_224,converse(complement(converse(X_224)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(X_224,converse(complement(converse(X_224)))))),bind(Y,$fot(meet(X_224,complement(X_224)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1805,plain,
( meet(X_224,complement(X_224)) != zero
| meet(X_224,converse(complement(converse(X_224)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_224,converse(complement(converse(X_224)))),meet(X_224,complement(X_224))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
meet(X_224,converse(complement(converse(X_224)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_224,complement(X_224)),zero) )],[refute_0_1799,refute_0_1805]) ).
cnf(refute_0_1807,plain,
join(meet(X_224,converse(complement(converse(X_224)))),A) = join(meet(X_224,converse(complement(converse(X_224)))),A),
introduced(tautology,[refl,[$fot(join(meet(X_224,converse(complement(converse(X_224)))),A))]]) ).
cnf(refute_0_1808,plain,
( join(meet(X_224,converse(complement(converse(X_224)))),A) != join(meet(X_224,converse(complement(converse(X_224)))),A)
| meet(X_224,converse(complement(converse(X_224)))) != zero
| join(meet(X_224,converse(complement(converse(X_224)))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_224,converse(complement(converse(X_224)))),A),join(meet(X_224,converse(complement(converse(X_224)))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1809,plain,
( meet(X_224,converse(complement(converse(X_224)))) != zero
| join(meet(X_224,converse(complement(converse(X_224)))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(X_224,converse(complement(converse(X_224)))),A),join(meet(X_224,converse(complement(converse(X_224)))),A)) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
join(meet(X_224,converse(complement(converse(X_224)))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(X_224,converse(complement(converse(X_224)))),zero) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( join(meet(X_224,converse(complement(converse(X_224)))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(X_224,converse(complement(converse(X_224)))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_224,converse(complement(converse(X_224)))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_1812,plain,
( join(zero,A) != A
| join(meet(X_224,converse(complement(converse(X_224)))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(X_224,converse(complement(converse(X_224)))),A),join(zero,A)) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
join(meet(X_224,converse(complement(converse(X_224)))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1796,refute_0_1812]) ).
cnf(refute_0_1814,plain,
join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) = join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),
introduced(tautology,[refl,[$fot(join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)))]]) ).
cnf(refute_0_1815,plain,
( join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(meet(X_224,converse(complement(converse(X_224)))),A) != A
| join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) = join(complement(X_224),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_1816,plain,
( join(meet(X_224,converse(complement(converse(X_224)))),A) != A
| join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) = join(complement(X_224),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) = join(complement(X_224),A),
inference(resolve,[$cnf( $equal(join(meet(X_224,converse(complement(converse(X_224)))),A),A) )],[refute_0_1813,refute_0_1816]) ).
cnf(refute_0_1818,plain,
( join(A,complement(X_224)) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)) != join(complement(X_224),A)
| join(A,complement(X_224)) = join(complement(X_224),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(X_224)),join(complement(X_224),A)) ),[0],$fot(join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)))]]) ).
cnf(refute_0_1819,plain,
( join(A,complement(X_224)) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(A,complement(X_224)) = join(complement(X_224),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A)),join(complement(X_224),A)) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
( join(A,converse(complement(converse(X_224)))) != join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))
| join(A,complement(X_224)) = join(complement(X_224),A) ),
inference(resolve,[$cnf( $equal(join(A,complement(X_224)),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) )],[refute_0_1795,refute_0_1819]) ).
cnf(refute_0_1821,plain,
join(A,complement(X_224)) = join(complement(X_224),A),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_224)))),join(complement(X_224),join(meet(X_224,converse(complement(converse(X_224)))),A))) )],[refute_0_1780,refute_0_1820]) ).
cnf(refute_0_1822,plain,
( join(A,complement(X_224)) != join(complement(X_224),A)
| join(complement(X_224),A) = join(A,complement(X_224)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,complement(X_224)))),bind(Y,$fot(join(complement(X_224),A)))]]) ).
cnf(refute_0_1823,plain,
join(complement(X_224),A) = join(A,complement(X_224)),
inference(resolve,[$cnf( $equal(join(A,complement(X_224)),join(complement(X_224),A)) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
join(complement(join(sk1,converse(meet(one,complement(sk1))))),one) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_1823:[bind(A,$fot(one)),bind(X_224,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_1825,plain,
converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(A,converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))]]) ).
cnf(refute_0_1826,plain,
converse(join(converse(A),meet(converse(A),zero))) = join(A,converse(meet(converse(A),zero))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(meet(converse(A),zero)))]]) ).
cnf(refute_0_1827,plain,
X_99 = join(meet(X_99,zero),meet(complement(zero),X_99)),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(X_99)),bind(X_88,$fot(zero))]]) ).
cnf(refute_0_1828,plain,
( X_99 != join(meet(X_99,zero),meet(complement(zero),X_99))
| complement(zero) != top
| X_99 = join(meet(X_99,zero),meet(top,X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(X_99,join(meet(X_99,zero),meet(complement(zero),X_99))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1829,plain,
( X_99 != join(meet(X_99,zero),meet(complement(zero),X_99))
| X_99 = join(meet(X_99,zero),meet(top,X_99)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_1828]) ).
cnf(refute_0_1830,plain,
X_99 = join(meet(X_99,zero),meet(top,X_99)),
inference(resolve,[$cnf( $equal(X_99,join(meet(X_99,zero),meet(complement(zero),X_99))) )],[refute_0_1827,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(meet(X_99,zero),X_99) = join(X_99,meet(X_99,zero)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_99)),bind(B,$fot(meet(X_99,zero)))]]) ).
cnf(refute_0_1832,plain,
meet(top,X_99) = X_99,
inference(subst,[],[refute_0_269:[bind(X_89,$fot(X_99))]]) ).
cnf(refute_0_1833,plain,
join(meet(X_99,zero),meet(top,X_99)) = join(meet(X_99,zero),meet(top,X_99)),
introduced(tautology,[refl,[$fot(join(meet(X_99,zero),meet(top,X_99)))]]) ).
cnf(refute_0_1834,plain,
( join(meet(X_99,zero),meet(top,X_99)) != join(meet(X_99,zero),meet(top,X_99))
| meet(top,X_99) != X_99
| join(meet(X_99,zero),meet(top,X_99)) = join(meet(X_99,zero),X_99) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_99,zero),meet(top,X_99)),join(meet(X_99,zero),meet(top,X_99))) ),[1,1],$fot(X_99)]]) ).
cnf(refute_0_1835,plain,
( meet(top,X_99) != X_99
| join(meet(X_99,zero),meet(top,X_99)) = join(meet(X_99,zero),X_99) ),
inference(resolve,[$cnf( $equal(join(meet(X_99,zero),meet(top,X_99)),join(meet(X_99,zero),meet(top,X_99))) )],[refute_0_1833,refute_0_1834]) ).
cnf(refute_0_1836,plain,
join(meet(X_99,zero),meet(top,X_99)) = join(meet(X_99,zero),X_99),
inference(resolve,[$cnf( $equal(meet(top,X_99),X_99) )],[refute_0_1832,refute_0_1835]) ).
cnf(refute_0_1837,plain,
( join(meet(X_99,zero),X_99) != join(X_99,meet(X_99,zero))
| join(meet(X_99,zero),meet(top,X_99)) != join(meet(X_99,zero),X_99)
| join(meet(X_99,zero),meet(top,X_99)) = join(X_99,meet(X_99,zero)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_99,zero),meet(top,X_99)))),bind(Y,$fot(join(meet(X_99,zero),X_99))),bind(Z,$fot(join(X_99,meet(X_99,zero))))]]) ).
cnf(refute_0_1838,plain,
( join(meet(X_99,zero),X_99) != join(X_99,meet(X_99,zero))
| join(meet(X_99,zero),meet(top,X_99)) = join(X_99,meet(X_99,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_99,zero),meet(top,X_99)),join(meet(X_99,zero),X_99)) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
join(meet(X_99,zero),meet(top,X_99)) = join(X_99,meet(X_99,zero)),
inference(resolve,[$cnf( $equal(join(meet(X_99,zero),X_99),join(X_99,meet(X_99,zero))) )],[refute_0_1831,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( X_99 != join(meet(X_99,zero),meet(top,X_99))
| join(meet(X_99,zero),meet(top,X_99)) != join(X_99,meet(X_99,zero))
| X_99 = join(X_99,meet(X_99,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_99,join(X_99,meet(X_99,zero))) ),[0],$fot(join(meet(X_99,zero),meet(top,X_99)))]]) ).
cnf(refute_0_1841,plain,
( X_99 != join(meet(X_99,zero),meet(top,X_99))
| X_99 = join(X_99,meet(X_99,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_99,zero),meet(top,X_99)),join(X_99,meet(X_99,zero))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
X_99 = join(X_99,meet(X_99,zero)),
inference(resolve,[$cnf( $equal(X_99,join(meet(X_99,zero),meet(top,X_99))) )],[refute_0_1830,refute_0_1841]) ).
cnf(refute_0_1843,plain,
converse(A) = join(converse(A),meet(converse(A),zero)),
inference(subst,[],[refute_0_1842:[bind(X_99,$fot(converse(A)))]]) ).
cnf(refute_0_1844,plain,
( converse(A) != join(converse(A),meet(converse(A),zero))
| join(converse(A),meet(converse(A),zero)) = converse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(A))),bind(Y,$fot(join(converse(A),meet(converse(A),zero))))]]) ).
cnf(refute_0_1845,plain,
join(converse(A),meet(converse(A),zero)) = converse(A),
inference(resolve,[$cnf( $equal(converse(A),join(converse(A),meet(converse(A),zero))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
( converse(join(converse(A),meet(converse(A),zero))) != join(A,converse(meet(converse(A),zero)))
| join(converse(A),meet(converse(A),zero)) != converse(A)
| converse(converse(A)) = join(A,converse(meet(converse(A),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),meet(converse(A),zero))),join(A,converse(meet(converse(A),zero)))) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_1847,plain,
( converse(join(converse(A),meet(converse(A),zero))) != join(A,converse(meet(converse(A),zero)))
| converse(converse(A)) = join(A,converse(meet(converse(A),zero))) ),
inference(resolve,[$cnf( $equal(join(converse(A),meet(converse(A),zero)),converse(A)) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
converse(converse(A)) = join(A,converse(meet(converse(A),zero))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),meet(converse(A),zero))),join(A,converse(meet(converse(A),zero)))) )],[refute_0_1826,refute_0_1847]) ).
cnf(refute_0_1849,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(A,converse(meet(converse(A),zero)))
| A = join(A,converse(meet(converse(A),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(meet(converse(A),zero)))) ),[0],$fot(A)]]) ).
cnf(refute_0_1850,plain,
( converse(converse(A)) != join(A,converse(meet(converse(A),zero)))
| A = join(A,converse(meet(converse(A),zero))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1849]) ).
cnf(refute_0_1851,plain,
meet(converse(A),zero) = meet(zero,converse(A)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(zero)),bind(X_27,$fot(converse(A)))]]) ).
cnf(refute_0_1852,plain,
converse(meet(converse(A),zero)) = converse(meet(converse(A),zero)),
introduced(tautology,[refl,[$fot(converse(meet(converse(A),zero)))]]) ).
cnf(refute_0_1853,plain,
( converse(meet(converse(A),zero)) != converse(meet(converse(A),zero))
| meet(converse(A),zero) != meet(zero,converse(A))
| converse(meet(converse(A),zero)) = converse(meet(zero,converse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(A),zero)),converse(meet(converse(A),zero))) ),[1,0],$fot(meet(zero,converse(A)))]]) ).
cnf(refute_0_1854,plain,
( meet(converse(A),zero) != meet(zero,converse(A))
| converse(meet(converse(A),zero)) = converse(meet(zero,converse(A))) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(A),zero)),converse(meet(converse(A),zero))) )],[refute_0_1852,refute_0_1853]) ).
cnf(refute_0_1855,plain,
converse(meet(converse(A),zero)) = converse(meet(zero,converse(A))),
inference(resolve,[$cnf( $equal(meet(converse(A),zero),meet(zero,converse(A))) )],[refute_0_1851,refute_0_1854]) ).
cnf(refute_0_1856,plain,
join(A,converse(meet(converse(A),zero))) = join(A,converse(meet(converse(A),zero))),
introduced(tautology,[refl,[$fot(join(A,converse(meet(converse(A),zero))))]]) ).
cnf(refute_0_1857,plain,
( converse(meet(converse(A),zero)) != converse(meet(zero,converse(A)))
| join(A,converse(meet(converse(A),zero))) != join(A,converse(meet(converse(A),zero)))
| join(A,converse(meet(converse(A),zero))) = join(A,converse(meet(zero,converse(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(meet(converse(A),zero))),join(A,converse(meet(converse(A),zero)))) ),[1,1],$fot(converse(meet(zero,converse(A))))]]) ).
cnf(refute_0_1858,plain,
( converse(meet(converse(A),zero)) != converse(meet(zero,converse(A)))
| join(A,converse(meet(converse(A),zero))) = join(A,converse(meet(zero,converse(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(meet(converse(A),zero))),join(A,converse(meet(converse(A),zero)))) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
join(A,converse(meet(converse(A),zero))) = join(A,converse(meet(zero,converse(A)))),
inference(resolve,[$cnf( $equal(converse(meet(converse(A),zero)),converse(meet(zero,converse(A)))) )],[refute_0_1855,refute_0_1858]) ).
cnf(refute_0_1860,plain,
( A != join(A,converse(meet(converse(A),zero)))
| join(A,converse(meet(converse(A),zero))) != join(A,converse(meet(zero,converse(A))))
| A = join(A,converse(meet(zero,converse(A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(A,converse(meet(zero,converse(A))))) ),[0],$fot(join(A,converse(meet(converse(A),zero))))]]) ).
cnf(refute_0_1861,plain,
( A != join(A,converse(meet(converse(A),zero)))
| A = join(A,converse(meet(zero,converse(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(meet(converse(A),zero))),join(A,converse(meet(zero,converse(A))))) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
( converse(converse(A)) != join(A,converse(meet(converse(A),zero)))
| A = join(A,converse(meet(zero,converse(A)))) ),
inference(resolve,[$cnf( $equal(A,join(A,converse(meet(converse(A),zero)))) )],[refute_0_1850,refute_0_1861]) ).
cnf(refute_0_1863,plain,
A = join(A,converse(meet(zero,converse(A)))),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(meet(converse(A),zero)))) )],[refute_0_1848,refute_0_1862]) ).
cnf(refute_0_1864,plain,
join(one,join(one,one)) = join(join(one,join(one,one)),converse(meet(zero,converse(join(one,join(one,one)))))),
inference(subst,[],[refute_0_1863:[bind(A,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_1865,plain,
converse(join(one,join(one,one))) = join(one,converse(join(one,one))),
inference(subst,[],[refute_0_449:[bind(X_5,$fot(join(one,one)))]]) ).
cnf(refute_0_1866,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_1867,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_1866]) ).
cnf(refute_0_1868,plain,
converse(join(one,join(one,one))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) )],[refute_0_1865,refute_0_1867]) ).
cnf(refute_0_1869,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(one,join(one,one)) != join(join(one,join(one,one)),converse(meet(zero,converse(join(one,join(one,one))))))
| join(one,join(one,one)) = join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,one)),join(join(one,join(one,one)),converse(meet(zero,converse(join(one,join(one,one))))))) ),[1,1,0,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_1870,plain,
( join(one,join(one,one)) != join(join(one,join(one,one)),converse(meet(zero,converse(join(one,join(one,one))))))
| join(one,join(one,one)) = join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_0_1868,refute_0_1869]) ).
cnf(refute_0_1871,plain,
join(one,join(one,one)) = join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(join(one,join(one,one)),converse(meet(zero,converse(join(one,join(one,one))))))) )],[refute_0_1864,refute_0_1870]) ).
cnf(refute_0_1872,plain,
join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,join(one,meet(zero,join(one,join(one,one)))))))]]) ).
cnf(refute_0_1873,plain,
join(one,converse(join(one,meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,meet(zero,join(one,join(one,one))))))]]) ).
cnf(refute_0_1874,plain,
converse(join(one,join(converse(A),X_5))) = join(one,converse(join(converse(A),X_5))),
inference(subst,[],[refute_0_449:[bind(X_5,$fot(join(converse(A),X_5)))]]) ).
cnf(refute_0_1875,plain,
( converse(join(converse(A),X_5)) != join(A,converse(X_5))
| converse(join(one,join(converse(A),X_5))) != join(one,converse(join(converse(A),X_5)))
| converse(join(one,join(converse(A),X_5))) = join(one,join(A,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(A),X_5))),join(one,converse(join(converse(A),X_5)))) ),[1,1],$fot(join(A,converse(X_5)))]]) ).
cnf(refute_0_1876,plain,
( converse(join(one,join(converse(A),X_5))) != join(one,converse(join(converse(A),X_5)))
| converse(join(one,join(converse(A),X_5))) = join(one,join(A,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(A,converse(X_5))) )],[refute_0_300,refute_0_1875]) ).
cnf(refute_0_1877,plain,
converse(join(one,join(converse(A),X_5))) = join(one,join(A,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_5))),join(one,converse(join(converse(A),X_5)))) )],[refute_0_1874,refute_0_1876]) ).
cnf(refute_0_1878,plain,
converse(join(one,join(converse(A),X_5))) = join(A,converse(join(one,X_5))),
inference(subst,[],[refute_0_998:[bind(X_63,$fot(X_5)),bind(X_65,$fot(one))]]) ).
cnf(refute_0_1879,plain,
( converse(join(one,join(converse(A),X_5))) != join(A,converse(join(one,X_5)))
| converse(join(one,join(converse(A),X_5))) != join(one,join(A,converse(X_5)))
| join(A,converse(join(one,X_5))) = join(one,join(A,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(A),X_5))),join(one,join(A,converse(X_5)))) ),[0],$fot(join(A,converse(join(one,X_5))))]]) ).
cnf(refute_0_1880,plain,
( converse(join(one,join(converse(A),X_5))) != join(one,join(A,converse(X_5)))
| join(A,converse(join(one,X_5))) = join(one,join(A,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_5))),join(A,converse(join(one,X_5)))) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
join(A,converse(join(one,X_5))) = join(one,join(A,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_5))),join(one,join(A,converse(X_5)))) )],[refute_0_1877,refute_0_1880]) ).
cnf(refute_0_1882,plain,
( join(A,converse(join(one,X_5))) != join(one,join(A,converse(X_5)))
| join(one,join(A,converse(X_5))) = join(A,converse(join(one,X_5))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(one,X_5))))),bind(Y,$fot(join(one,join(A,converse(X_5)))))]]) ).
cnf(refute_0_1883,plain,
join(one,join(A,converse(X_5))) = join(A,converse(join(one,X_5))),
inference(resolve,[$cnf( $equal(join(A,converse(join(one,X_5))),join(one,join(A,converse(X_5)))) )],[refute_0_1881,refute_0_1882]) ).
cnf(refute_0_1884,plain,
join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) = join(one,converse(join(one,meet(zero,join(one,join(one,one)))))),
inference(subst,[],[refute_0_1883:[bind(A,$fot(one)),bind(X_5,$fot(meet(zero,join(one,join(one,one)))))]]) ).
cnf(refute_0_1885,plain,
( join(one,converse(join(one,meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) != join(one,converse(join(one,meet(zero,join(one,join(one,one))))))
| join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(one,converse(meet(zero,join(one,join(one,one)))))))),bind(Y,$fot(join(one,converse(join(one,meet(zero,join(one,join(one,one)))))))),bind(Z,$fot(converse(join(one,join(one,meet(zero,join(one,join(one,one))))))))]]) ).
cnf(refute_0_1886,plain,
( join(one,converse(join(one,meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(meet(zero,join(one,join(one,one)))))),join(one,converse(join(one,meet(zero,join(one,join(one,one))))))) )],[refute_0_1884,refute_0_1885]) ).
cnf(refute_0_1887,plain,
join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,meet(zero,join(one,join(one,one)))))),converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) )],[refute_0_1873,refute_0_1886]) ).
cnf(refute_0_1888,plain,
join(join(one,one),converse(meet(zero,join(one,join(one,one))))) = join(one,join(one,converse(meet(zero,join(one,join(one,one)))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(converse(meet(zero,join(one,join(one,one))))))]]) ).
cnf(refute_0_1889,plain,
( join(join(one,one),converse(meet(zero,join(one,join(one,one))))) != join(one,join(one,converse(meet(zero,join(one,join(one,one))))))
| join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(join(one,one),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(one,one),converse(meet(zero,join(one,join(one,one))))))),bind(Y,$fot(join(one,join(one,converse(meet(zero,join(one,join(one,one)))))))),bind(Z,$fot(converse(join(one,join(one,meet(zero,join(one,join(one,one))))))))]]) ).
cnf(refute_0_1890,plain,
( join(one,join(one,converse(meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(join(one,one),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(meet(zero,join(one,join(one,one))))),join(one,join(one,converse(meet(zero,join(one,join(one,one))))))) )],[refute_0_1888,refute_0_1889]) ).
cnf(refute_0_1891,plain,
join(join(one,one),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(meet(zero,join(one,join(one,one)))))),converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) )],[refute_0_1887,refute_0_1890]) ).
cnf(refute_0_1892,plain,
join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),
introduced(tautology,[refl,[$fot(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))))]]) ).
cnf(refute_0_1893,plain,
( join(join(one,one),converse(meet(zero,join(one,join(one,one))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) != join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one))))))) ),[1,1],$fot(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))))]]) ).
cnf(refute_0_1894,plain,
( join(join(one,one),converse(meet(zero,join(one,join(one,one))))) != converse(join(one,join(one,meet(zero,join(one,join(one,one))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one))))))) )],[refute_0_1892,refute_0_1893]) ).
cnf(refute_0_1895,plain,
join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(meet(zero,join(one,join(one,one))))),converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) )],[refute_0_1891,refute_0_1894]) ).
cnf(refute_0_1896,plain,
( join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) != join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))))),bind(Y,$fot(join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))))),bind(Z,$fot(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))))]]) ).
cnf(refute_0_1897,plain,
( join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one)))))))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(one,meet(zero,join(one,join(one,one))))))),converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) )],[refute_0_1872,refute_0_1897]) ).
cnf(refute_0_1899,plain,
join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) = join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(one)),bind(B,$fot(join(one,one))),bind(C,$fot(converse(meet(zero,join(one,join(one,one))))))]]) ).
cnf(refute_0_1900,plain,
( join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) != join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one))))))
| join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))))),bind(Y,$fot(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))))),bind(Z,$fot(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))))]]) ).
cnf(refute_0_1901,plain,
( join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))),join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one))))))) )],[refute_0_1899,refute_0_1900]) ).
cnf(refute_0_1902,plain,
join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(meet(zero,join(one,join(one,one)))))),converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) )],[refute_0_1898,refute_0_1901]) ).
cnf(refute_0_1903,plain,
( join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| join(one,join(one,one)) != join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one)))))
| join(one,join(one,one)) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,one)),join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one)))))) ),[1],$fot(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))]]) ).
cnf(refute_0_1904,plain,
( join(one,join(one,one)) != join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one)))))
| join(one,join(one,one)) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one))))),converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
join(one,join(one,one)) = converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(join(one,join(one,one)),converse(meet(zero,join(one,join(one,one)))))) )],[refute_0_1871,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( join(one,join(one,one)) != converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))
| converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) = join(one,join(one,one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(one,one)))),bind(Y,$fot(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))))]]) ).
cnf(refute_0_1907,plain,
converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(A,converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))
| converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) != join(one,join(one,one))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(A,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(A,converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_1909,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(A,converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(A,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),join(one,join(one,one))) )],[refute_0_1907,refute_0_1908]) ).
cnf(refute_0_1910,plain,
converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(A,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(A,converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))) )],[refute_0_1825,refute_0_1909]) ).
cnf(refute_0_1911,plain,
converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A),
inference(subst,[],[refute_0_345:[bind(X_4,$fot(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))))]]) ).
cnf(refute_0_1912,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)
| converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))) != join(one,join(one,one))
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(join(one,join(one,one)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)) ),[1,0],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_1913,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(join(one,join(one,one)),A) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),join(one,join(one,one))) )],[refute_0_1907,refute_0_1912]) ).
cnf(refute_0_1914,plain,
converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(join(one,join(one,one)),A),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)) )],[refute_0_1911,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(one,join(converse(X_5),X_51)) = join(join(one,converse(X_5)),X_51),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(converse(X_5))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_1916,plain,
( join(one,converse(X_5)) != converse(join(one,X_5))
| join(one,join(converse(X_5),X_51)) != join(join(one,converse(X_5)),X_51)
| join(one,join(converse(X_5),X_51)) = join(converse(join(one,X_5)),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_5),X_51)),join(join(one,converse(X_5)),X_51)) ),[1,0],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_1917,plain,
( join(one,join(converse(X_5),X_51)) != join(join(one,converse(X_5)),X_51)
| join(one,join(converse(X_5),X_51)) = join(converse(join(one,X_5)),X_51) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_458,refute_0_1916]) ).
cnf(refute_0_1918,plain,
join(one,join(converse(X_5),X_51)) = join(converse(join(one,X_5)),X_51),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_5),X_51)),join(join(one,converse(X_5)),X_51)) )],[refute_0_1915,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( join(one,join(converse(X_5),X_51)) != join(converse(join(one,X_5)),X_51)
| join(converse(join(one,X_5)),X_51) = join(one,join(converse(X_5),X_51)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(converse(X_5),X_51)))),bind(Y,$fot(join(converse(join(one,X_5)),X_51)))]]) ).
cnf(refute_0_1920,plain,
join(converse(join(one,X_5)),X_51) = join(one,join(converse(X_5),X_51)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_5),X_51)),join(converse(join(one,X_5)),X_51)) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
join(converse(join(one,meet(zero,join(one,join(one,one))))),A) = join(one,join(converse(meet(zero,join(one,join(one,one)))),A)),
inference(subst,[],[refute_0_1920:[bind(X_5,$fot(meet(zero,join(one,join(one,one))))),bind(X_51,$fot(A))]]) ).
cnf(refute_0_1922,plain,
join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) = join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)),
introduced(tautology,[refl,[$fot(join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)))]]) ).
cnf(refute_0_1923,plain,
( join(converse(join(one,meet(zero,join(one,join(one,one))))),A) != join(one,join(converse(meet(zero,join(one,join(one,one)))),A))
| join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) != join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A))
| join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)),join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A))) ),[1,1],$fot(join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))]]) ).
cnf(refute_0_1924,plain,
( join(converse(join(one,meet(zero,join(one,join(one,one))))),A) != join(one,join(converse(meet(zero,join(one,join(one,one)))),A))
| join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)),join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A))) )],[refute_0_1922,refute_0_1923]) ).
cnf(refute_0_1925,plain,
join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))),
inference(resolve,[$cnf( $equal(join(converse(join(one,meet(zero,join(one,join(one,one))))),A),join(one,join(converse(meet(zero,join(one,join(one,one)))),A))) )],[refute_0_1921,refute_0_1924]) ).
cnf(refute_0_1926,plain,
join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) = join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)),
inference(subst,[],[refute_0_1920:[bind(X_5,$fot(join(one,meet(zero,join(one,join(one,one)))))),bind(X_51,$fot(A))]]) ).
cnf(refute_0_1927,plain,
( join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) != join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A))
| join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) != join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))
| join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))),bind(Y,$fot(join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)))),bind(Z,$fot(join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))))]]) ).
cnf(refute_0_1928,plain,
( join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)) != join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))
| join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A),join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A))) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) = join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,meet(zero,join(one,join(one,one))))),A)),join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) )],[refute_0_1925,refute_0_1928]) ).
cnf(refute_0_1930,plain,
join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),
introduced(tautology,[refl,[$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)))]]) ).
cnf(refute_0_1931,plain,
( join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) != join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) ),[1,1],$fot(join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))]]) ).
cnf(refute_0_1932,plain,
( join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A) != join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1930,refute_0_1931]) ).
cnf(refute_0_1933,plain,
join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A),join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) )],[refute_0_1929,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),
inference(subst,[],[refute_0_1920:[bind(X_5,$fot(join(one,join(one,meet(zero,join(one,join(one,one))))))),bind(X_51,$fot(A))]]) ).
cnf(refute_0_1935,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)
| join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))))),bind(Y,$fot(join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A))),bind(Z,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))))]]) ).
cnf(refute_0_1936,plain,
( join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)) )],[refute_0_1911,refute_0_1935]) ).
cnf(refute_0_1937,plain,
converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1934,refute_0_1936]) ).
cnf(refute_0_1938,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))))),bind(Y,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)))),bind(Z,$fot(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))))]]) ).
cnf(refute_0_1939,plain,
( join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1937,refute_0_1938]) ).
cnf(refute_0_1940,plain,
converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) = join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))) )],[refute_0_1933,refute_0_1939]) ).
cnf(refute_0_1941,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(join(one,join(one,one)),A)
| converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(join(one,join(one,one)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(join(one,join(one,one)),A)) ),[0],$fot(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))))]]) ).
cnf(refute_0_1942,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(join(one,join(one,one)),A)
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(join(one,join(one,one)),A) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
join(join(one,one),A) = join(one,join(one,A)),
inference(subst,[],[refute_0_33:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(A))]]) ).
cnf(refute_0_1944,plain,
join(one,join(join(one,one),A)) = join(one,join(join(one,one),A)),
introduced(tautology,[refl,[$fot(join(one,join(join(one,one),A)))]]) ).
cnf(refute_0_1945,plain,
( join(join(one,one),A) != join(one,join(one,A))
| join(one,join(join(one,one),A)) != join(one,join(join(one,one),A))
| join(one,join(join(one,one),A)) = join(one,join(one,join(one,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,one),A)),join(one,join(join(one,one),A))) ),[1,1],$fot(join(one,join(one,A)))]]) ).
cnf(refute_0_1946,plain,
( join(join(one,one),A) != join(one,join(one,A))
| join(one,join(join(one,one),A)) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),A)),join(one,join(join(one,one),A))) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
join(one,join(join(one,one),A)) = join(one,join(one,join(one,A))),
inference(resolve,[$cnf( $equal(join(join(one,one),A),join(one,join(one,A))) )],[refute_0_1943,refute_0_1946]) ).
cnf(refute_0_1948,plain,
join(join(one,join(one,one)),A) = join(one,join(join(one,one),A)),
inference(subst,[],[refute_0_33:[bind(A,$fot(one)),bind(B,$fot(join(one,one))),bind(C,$fot(A))]]) ).
cnf(refute_0_1949,plain,
( join(join(one,join(one,one)),A) != join(one,join(join(one,one),A))
| join(one,join(join(one,one),A)) != join(one,join(one,join(one,A)))
| join(join(one,join(one,one)),A) = join(one,join(one,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(one,join(one,one)),A))),bind(Y,$fot(join(one,join(join(one,one),A)))),bind(Z,$fot(join(one,join(one,join(one,A)))))]]) ).
cnf(refute_0_1950,plain,
( join(one,join(join(one,one),A)) != join(one,join(one,join(one,A)))
| join(join(one,join(one,one)),A) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),A),join(one,join(join(one,one),A))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
join(join(one,join(one,one)),A) = join(one,join(one,join(one,A))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),A)),join(one,join(one,join(one,A)))) )],[refute_0_1947,refute_0_1950]) ).
cnf(refute_0_1952,plain,
( join(join(one,join(one,one)),A) != join(one,join(one,join(one,A)))
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) != join(join(one,join(one,one)),A)
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(one,join(one,join(one,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))),join(join(one,join(one,one)),A)) ),[1],$fot(join(one,join(one,join(one,A))))]]) ).
cnf(refute_0_1953,plain,
( join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) != join(join(one,join(one,one)),A)
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),A),join(one,join(one,join(one,A)))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))) != join(join(one,join(one,one)),A)
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))),join(join(one,join(one,one)),A)) )],[refute_0_1942,refute_0_1953]) ).
cnf(refute_0_1955,plain,
join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) = join(one,join(one,join(one,A))),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))),converse(A))),join(join(one,join(one,one)),A)) )],[refute_0_1914,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))
| join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) != join(one,join(one,join(one,A)))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)))),bind(Y,$fot(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))))),bind(Z,$fot(join(one,join(one,join(one,A)))))]]) ).
cnf(refute_0_1957,plain,
( join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))) != join(one,join(one,join(one,A)))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A))))) )],[refute_0_1933,refute_0_1956]) ).
cnf(refute_0_1958,plain,
join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) = join(one,join(one,join(one,A))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(converse(meet(zero,join(one,join(one,one)))),A)))),join(one,join(one,join(one,A)))) )],[refute_0_1955,refute_0_1957]) ).
cnf(refute_0_1959,plain,
converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) = join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A),
inference(subst,[],[refute_0_563:[bind(X_49,$fot(one)),bind(X_50,$fot(join(one,join(one,meet(zero,join(one,join(one,one)))))))]]) ).
cnf(refute_0_1960,plain,
( converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) != join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)
| join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))))),bind(Y,$fot(join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A))),bind(Z,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))))]]) ).
cnf(refute_0_1961,plain,
( join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))),join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A)) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(one,join(one,meet(zero,join(one,join(one,one))))))),A),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1934,refute_0_1961]) ).
cnf(refute_0_1963,plain,
converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))),
inference(subst,[],[refute_0_1027:[bind(X_63,$fot(join(one,join(one,meet(zero,join(one,join(one,one))))))),bind(X_64,$fot(one)),bind(X_65,$fot(converse(A)))]]) ).
cnf(refute_0_1964,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A))))
| converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))))),bind(Y,$fot(converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))))),bind(Z,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))))]]) ).
cnf(refute_0_1965,plain,
( converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A))))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(one,join(one,meet(zero,join(one,join(one,one))))),converse(A)))),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1962,refute_0_1965]) ).
cnf(refute_0_1967,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))
| join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(one,join(one,A)))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(one,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))))),bind(Y,$fot(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)))),bind(Z,$fot(join(one,join(one,join(one,A)))))]]) ).
cnf(refute_0_1968,plain,
( join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)) != join(one,join(one,join(one,A)))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A))) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) = join(one,join(one,join(one,A))),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,join(one,meet(zero,join(one,join(one,one)))))),A)),join(one,join(one,join(one,A)))) )],[refute_0_1958,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(A,join(one,join(one,one)))
| converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(one,join(one,join(one,A)))
| join(one,join(one,join(one,A))) = join(A,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(A,join(one,join(one,one)))) ),[0],$fot(join(one,join(one,join(one,A))))]]) ).
cnf(refute_0_1971,plain,
( converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))) != join(A,join(one,join(one,one)))
| join(one,join(one,join(one,A))) = join(A,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(one,join(one,join(one,A)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
join(one,join(one,join(one,A))) = join(A,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,join(one,join(one,meet(zero,join(one,join(one,one)))))))),join(A,join(one,join(one,one)))) )],[refute_0_1910,refute_0_1971]) ).
cnf(refute_0_1973,plain,
join(complement(complement(one)),composition(converse(join(one,one)),complement(composition(join(one,one),complement(one))))) = complement(complement(one)),
inference(subst,[],[refute_0_83:[bind(A,$fot(join(one,one))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1974,plain,
join(complement(one),composition(converse(X_22),complement(composition(X_22,one)))) = complement(one),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_22)),bind(B,$fot(one))]]) ).
cnf(refute_0_1975,plain,
composition(X_22,one) = X_22,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_22))]]) ).
cnf(refute_0_1976,plain,
( composition(X_22,one) != X_22
| join(complement(one),composition(converse(X_22),complement(composition(X_22,one)))) != complement(one)
| join(complement(one),composition(converse(X_22),complement(X_22))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_22),complement(composition(X_22,one)))),complement(one)) ),[0,1,1,0],$fot(X_22)]]) ).
cnf(refute_0_1977,plain,
( join(complement(one),composition(converse(X_22),complement(composition(X_22,one)))) != complement(one)
| join(complement(one),composition(converse(X_22),complement(X_22))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_22,one),X_22) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
join(complement(one),composition(converse(X_22),complement(X_22))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_22),complement(composition(X_22,one)))),complement(one)) )],[refute_0_1974,refute_0_1977]) ).
cnf(refute_0_1979,plain,
join(complement(one),composition(converse(converse(A)),complement(converse(A)))) = complement(one),
inference(subst,[],[refute_0_1978:[bind(X_22,$fot(converse(A)))]]) ).
cnf(refute_0_1980,plain,
( converse(converse(A)) != A
| join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_1981,plain,
( join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1980]) ).
cnf(refute_0_1982,plain,
join(complement(one),composition(A,complement(converse(A)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) )],[refute_0_1979,refute_0_1981]) ).
cnf(refute_0_1983,plain,
join(complement(one),composition(one,complement(converse(one)))) = complement(one),
inference(subst,[],[refute_0_1982:[bind(A,$fot(one))]]) ).
cnf(refute_0_1984,plain,
( converse(one) != one
| join(complement(one),composition(one,complement(converse(one)))) != complement(one)
| join(complement(one),composition(one,complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(one,complement(converse(one)))),complement(one)) ),[0,1,1,0],$fot(one)]]) ).
cnf(refute_0_1985,plain,
( join(complement(one),composition(one,complement(converse(one)))) != complement(one)
| join(complement(one),composition(one,complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_1984]) ).
cnf(refute_0_1986,plain,
join(complement(one),composition(one,complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(one,complement(converse(one)))),complement(one)) )],[refute_0_1983,refute_0_1985]) ).
cnf(refute_0_1987,plain,
join(complement(one),composition(one,complement(one))) = composition(join(one,one),complement(one)),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(one)),bind(X_152,$fot(complement(one)))]]) ).
cnf(refute_0_1988,plain,
( join(complement(one),composition(one,complement(one))) != complement(one)
| join(complement(one),composition(one,complement(one))) != composition(join(one,one),complement(one))
| composition(join(one,one),complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(one,complement(one))),complement(one)) ),[0],$fot(composition(join(one,one),complement(one)))]]) ).
cnf(refute_0_1989,plain,
( join(complement(one),composition(one,complement(one))) != complement(one)
| composition(join(one,one),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(one,complement(one))),composition(join(one,one),complement(one))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
composition(join(one,one),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(one,complement(one))),complement(one)) )],[refute_0_1986,refute_0_1989]) ).
cnf(refute_0_1991,plain,
( composition(join(one,one),complement(one)) != complement(one)
| join(complement(complement(one)),composition(converse(join(one,one)),complement(composition(join(one,one),complement(one))))) != complement(complement(one))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(composition(join(one,one),complement(one))))),complement(complement(one))) ),[0,1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_1992,plain,
( join(complement(complement(one)),composition(converse(join(one,one)),complement(composition(join(one,one),complement(one))))) != complement(complement(one))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(one)),complement(one)) )],[refute_0_1990,refute_0_1991]) ).
cnf(refute_0_1993,plain,
join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(composition(join(one,one),complement(one))))),complement(complement(one))) )],[refute_0_1973,refute_0_1992]) ).
cnf(refute_0_1994,plain,
composition(join(one,join(one,one)),one) = join(one,join(one,one)),
inference(subst,[],[composition_identity_6:[bind(A,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_1995,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_710:[bind(B,$fot(one))]]) ).
cnf(refute_0_1996,plain,
composition(join(one,join(one,one)),complement(complement(one))) = composition(join(one,join(one,one)),complement(complement(one))),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,one)),complement(complement(one))))]]) ).
cnf(refute_0_1997,plain,
( complement(complement(one)) != one
| composition(join(one,join(one,one)),complement(complement(one))) != composition(join(one,join(one,one)),complement(complement(one)))
| composition(join(one,join(one,one)),complement(complement(one))) = composition(join(one,join(one,one)),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,one)),complement(complement(one))),composition(join(one,join(one,one)),complement(complement(one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1998,plain,
( complement(complement(one)) != one
| composition(join(one,join(one,one)),complement(complement(one))) = composition(join(one,join(one,one)),one) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,one)),complement(complement(one))),composition(join(one,join(one,one)),complement(complement(one)))) )],[refute_0_1996,refute_0_1997]) ).
cnf(refute_0_1999,plain,
composition(join(one,join(one,one)),complement(complement(one))) = composition(join(one,join(one,one)),one),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_1998]) ).
cnf(refute_0_2000,plain,
join(one,converse(join(one,one))) = converse(join(one,join(one,one))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,one)))]]) ).
cnf(refute_0_2001,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(one,converse(join(one,one))) != converse(join(one,join(one,one)))
| join(one,converse(join(one,one))) = join(one,join(one,one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,converse(join(one,one))))),bind(Y,$fot(converse(join(one,join(one,one))))),bind(Z,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_2002,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(one,converse(join(one,one))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,one))),converse(join(one,join(one,one)))) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
join(one,converse(join(one,one))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_0_1868,refute_0_2002]) ).
cnf(refute_0_2004,plain,
composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,converse(join(one,one))),complement(complement(one))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(join(one,one))),complement(complement(one))))]]) ).
cnf(refute_0_2005,plain,
( composition(join(one,converse(join(one,one))),complement(complement(one))) != composition(join(one,converse(join(one,one))),complement(complement(one)))
| join(one,converse(join(one,one))) != join(one,join(one,one))
| composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(complement(one))),composition(join(one,converse(join(one,one))),complement(complement(one)))) ),[1,0],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_2006,plain,
( join(one,converse(join(one,one))) != join(one,join(one,one))
| composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(complement(one))),composition(join(one,converse(join(one,one))),complement(complement(one)))) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),complement(complement(one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,one))),join(one,join(one,one))) )],[refute_0_2003,refute_0_2006]) ).
cnf(refute_0_2008,plain,
( composition(join(one,converse(join(one,one))),complement(complement(one))) != composition(join(one,join(one,one)),complement(complement(one)))
| composition(join(one,join(one,one)),complement(complement(one))) != composition(join(one,join(one,one)),one)
| composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(one,converse(join(one,one))),complement(complement(one))))),bind(Y,$fot(composition(join(one,join(one,one)),complement(complement(one))))),bind(Z,$fot(composition(join(one,join(one,one)),one)))]]) ).
cnf(refute_0_2009,plain,
( composition(join(one,join(one,one)),complement(complement(one))) != composition(join(one,join(one,one)),one)
| composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),one) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(complement(one))),composition(join(one,join(one,one)),complement(complement(one)))) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
composition(join(one,converse(join(one,one))),complement(complement(one))) = composition(join(one,join(one,one)),one),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,one)),complement(complement(one))),composition(join(one,join(one,one)),one)) )],[refute_0_1999,refute_0_2009]) ).
cnf(refute_0_2011,plain,
( composition(join(one,converse(join(one,one))),complement(complement(one))) != composition(join(one,join(one,one)),one)
| composition(join(one,join(one,one)),one) != join(one,join(one,one))
| composition(join(one,converse(join(one,one))),complement(complement(one))) = join(one,join(one,one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(one,converse(join(one,one))),complement(complement(one))))),bind(Y,$fot(composition(join(one,join(one,one)),one))),bind(Z,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_2012,plain,
( composition(join(one,join(one,one)),one) != join(one,join(one,one))
| composition(join(one,converse(join(one,one))),complement(complement(one))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(complement(one))),composition(join(one,join(one,one)),one)) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
composition(join(one,converse(join(one,one))),complement(complement(one))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,one)),one),join(one,join(one,one))) )],[refute_0_1994,refute_0_2012]) ).
cnf(refute_0_2014,plain,
composition(join(converse(join(one,one)),one),complement(complement(one))) = composition(join(one,converse(join(one,one))),complement(complement(one))),
inference(subst,[],[refute_0_1406:[bind(X_150,$fot(converse(join(one,one)))),bind(X_151,$fot(one)),bind(X_152,$fot(complement(complement(one))))]]) ).
cnf(refute_0_2015,plain,
join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = composition(join(converse(join(one,one)),one),complement(complement(one))),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(converse(join(one,one)))),bind(X_152,$fot(complement(complement(one))))]]) ).
cnf(refute_0_2016,plain,
( composition(join(converse(join(one,one)),one),complement(complement(one))) != composition(join(one,converse(join(one,one))),complement(complement(one)))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != composition(join(converse(join(one,one)),one),complement(complement(one)))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = composition(join(one,converse(join(one,one))),complement(complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))))),bind(Y,$fot(composition(join(converse(join(one,one)),one),complement(complement(one))))),bind(Z,$fot(composition(join(one,converse(join(one,one))),complement(complement(one)))))]]) ).
cnf(refute_0_2017,plain,
( composition(join(converse(join(one,one)),one),complement(complement(one))) != composition(join(one,converse(join(one,one))),complement(complement(one)))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = composition(join(one,converse(join(one,one))),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))),composition(join(converse(join(one,one)),one),complement(complement(one)))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = composition(join(one,converse(join(one,one))),complement(complement(one))),
inference(resolve,[$cnf( $equal(composition(join(converse(join(one,one)),one),complement(complement(one))),composition(join(one,converse(join(one,one))),complement(complement(one)))) )],[refute_0_2014,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( composition(join(one,converse(join(one,one))),complement(complement(one))) != join(one,join(one,one))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != composition(join(one,converse(join(one,one))),complement(complement(one)))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = join(one,join(one,one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))))),bind(Y,$fot(composition(join(one,converse(join(one,one))),complement(complement(one))))),bind(Z,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_2020,plain,
( composition(join(one,converse(join(one,one))),complement(complement(one))) != join(one,join(one,one))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))),composition(join(one,converse(join(one,one))),complement(complement(one)))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,one))),complement(complement(one))),join(one,join(one,one))) )],[refute_0_2013,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != complement(complement(one))
| join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != join(one,join(one,one))
| join(one,join(one,one)) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))),complement(complement(one))) ),[0],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_2023,plain,
( join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != complement(complement(one))
| join(one,join(one,one)) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))),join(one,join(one,one))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
( complement(complement(one)) != one
| join(one,join(one,one)) != complement(complement(one))
| join(one,join(one,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,one)),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_2025,plain,
( join(one,join(one,one)) != complement(complement(one))
| join(one,join(one,one)) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_2024]) ).
cnf(refute_0_2026,plain,
( join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))) != complement(complement(one))
| join(one,join(one,one)) = one ),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),complement(complement(one))) )],[refute_0_2023,refute_0_2025]) ).
cnf(refute_0_2027,plain,
join(one,join(one,one)) = one,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(join(one,one)),complement(complement(one)))),complement(complement(one))) )],[refute_0_1993,refute_0_2026]) ).
cnf(refute_0_2028,plain,
join(A,join(one,join(one,one))) = join(A,join(one,join(one,one))),
introduced(tautology,[refl,[$fot(join(A,join(one,join(one,one))))]]) ).
cnf(refute_0_2029,plain,
( join(A,join(one,join(one,one))) != join(A,join(one,join(one,one)))
| join(one,join(one,one)) != one
| join(A,join(one,join(one,one))) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(one,join(one,one))),join(A,join(one,join(one,one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2030,plain,
( join(one,join(one,one)) != one
| join(A,join(one,join(one,one))) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(A,join(one,join(one,one))),join(A,join(one,join(one,one)))) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
join(A,join(one,join(one,one))) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),one) )],[refute_0_2027,refute_0_2030]) ).
cnf(refute_0_2032,plain,
( join(A,join(one,join(one,one))) != join(A,one)
| join(one,join(one,join(one,A))) != join(A,join(one,join(one,one)))
| join(one,join(one,join(one,A))) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(one,A))),join(A,join(one,join(one,one)))) ),[1],$fot(join(A,one))]]) ).
cnf(refute_0_2033,plain,
( join(one,join(one,join(one,A))) != join(A,join(one,join(one,one)))
| join(one,join(one,join(one,A))) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(A,join(one,join(one,one))),join(A,one)) )],[refute_0_2031,refute_0_2032]) ).
cnf(refute_0_2034,plain,
join(one,join(one,join(one,A))) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,A))),join(A,join(one,join(one,one)))) )],[refute_0_1972,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = join(complement(join(sk1,converse(meet(one,complement(sk1))))),one),
inference(subst,[],[refute_0_2034:[bind(A,$fot(complement(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2036,plain,
( join(complement(join(sk1,converse(meet(one,complement(sk1))))),one) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)
| join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))),bind(Y,$fot(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))),bind(Z,$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2037,plain,
( join(complement(join(sk1,converse(meet(one,complement(sk1))))),one) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_1824,refute_0_2037]) ).
cnf(refute_0_2039,plain,
converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_2040,plain,
( converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))
| join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))) ),[1,0],$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2041,plain,
( join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) = converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_2038,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))
| converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,top)
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,top)) ),[0],$fot(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2044,plain,
( converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,top)
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(one,top) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(one,top)
| join(one,top) != top
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),top) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_2046,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(one,top)
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = top ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_2045]) ).
cnf(refute_0_2047,plain,
( converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))) != join(one,top)
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,top)) )],[refute_0_2044,refute_0_2046]) ).
cnf(refute_0_2048,plain,
converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),join(one,top)) )],[refute_0_1776,refute_0_2047]) ).
cnf(refute_0_2049,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != top
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2050,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),top) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_1640,refute_0_2050]) ).
cnf(refute_0_2052,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != top
| top = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2053,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| top = join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),top) )],[refute_0_2048,refute_0_2052]) ).
cnf(refute_0_2054,plain,
join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))) = complement(join(converse(sk1),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2055,plain,
join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) = join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))),
inference(subst,[],[refute_0_1823:[bind(A,$fot(zero)),bind(X_224,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2056,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) != join(zero,complement(join(converse(sk1),meet(one,complement(sk1)))))
| join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero))),bind(Y,$fot(join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))))),bind(Z,$fot(complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2057,plain,
( join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero),join(zero,complement(join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2055,refute_0_2056]) ).
cnf(refute_0_2058,plain,
join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) = complement(join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(converse(sk1),meet(one,complement(sk1))))),complement(join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2054,refute_0_2057]) ).
cnf(refute_0_2059,plain,
join(complement(zero),composition(converse(A),complement(composition(A,zero)))) = complement(zero),
inference(subst,[],[refute_0_83:[bind(B,$fot(zero))]]) ).
cnf(refute_0_2060,plain,
composition(X_150,complement(composition(top,top))) = composition(X_150,complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(X_150,complement(composition(top,top))))]]) ).
cnf(refute_0_2061,plain,
( complement(composition(top,top)) != zero
| composition(X_150,complement(composition(top,top))) != composition(X_150,complement(composition(top,top)))
| composition(X_150,complement(composition(top,top))) = composition(X_150,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_150,complement(composition(top,top))),composition(X_150,complement(composition(top,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2062,plain,
( complement(composition(top,top)) != zero
| composition(X_150,complement(composition(top,top))) = composition(X_150,zero) ),
inference(resolve,[$cnf( $equal(composition(X_150,complement(composition(top,top))),composition(X_150,complement(composition(top,top)))) )],[refute_0_2060,refute_0_2061]) ).
cnf(refute_0_2063,plain,
composition(X_150,complement(composition(top,top))) = composition(X_150,zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1461,refute_0_2062]) ).
cnf(refute_0_2064,plain,
( composition(X_150,complement(composition(top,top))) != composition(X_150,zero)
| zero != composition(X_150,complement(composition(top,top)))
| zero = composition(X_150,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(X_150,complement(composition(top,top)))) ),[1],$fot(composition(X_150,zero))]]) ).
cnf(refute_0_2065,plain,
( zero != composition(X_150,complement(composition(top,top)))
| zero = composition(X_150,zero) ),
inference(resolve,[$cnf( $equal(composition(X_150,complement(composition(top,top))),composition(X_150,zero)) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
zero = composition(X_150,zero),
inference(resolve,[$cnf( $equal(zero,composition(X_150,complement(composition(top,top)))) )],[refute_0_1449,refute_0_2065]) ).
cnf(refute_0_2067,plain,
zero = composition(A,zero),
inference(subst,[],[refute_0_2066:[bind(X_150,$fot(A))]]) ).
cnf(refute_0_2068,plain,
( zero != composition(A,zero)
| composition(A,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(A,zero)))]]) ).
cnf(refute_0_2069,plain,
composition(A,zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(A,zero)) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
( composition(A,zero) != zero
| join(complement(zero),composition(converse(A),complement(composition(A,zero)))) != complement(zero)
| join(complement(zero),composition(converse(A),complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(composition(A,zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2071,plain,
( join(complement(zero),composition(converse(A),complement(composition(A,zero)))) != complement(zero)
| join(complement(zero),composition(converse(A),complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(composition(A,zero),zero) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
join(complement(zero),composition(converse(A),complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(composition(A,zero)))),complement(zero)) )],[refute_0_2059,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( converse(composition(top,X_9)) != composition(converse(X_9),top)
| composition(converse(X_9),top) = converse(composition(top,X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,X_9)))),bind(Y,$fot(composition(converse(X_9),top)))]]) ).
cnf(refute_0_2074,plain,
composition(converse(X_9),top) = converse(composition(top,X_9)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_9)),composition(converse(X_9),top)) )],[refute_0_1154,refute_0_2073]) ).
cnf(refute_0_2075,plain,
composition(converse(join(one,A)),top) = converse(composition(top,join(one,A))),
inference(subst,[],[refute_0_2074:[bind(X_9,$fot(join(one,A)))]]) ).
cnf(refute_0_2076,plain,
composition(converse(join(one,A)),complement(zero)) = composition(converse(join(one,A)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(join(one,A)),complement(zero)))]]) ).
cnf(refute_0_2077,plain,
( complement(zero) != top
| composition(converse(join(one,A)),complement(zero)) != composition(converse(join(one,A)),complement(zero))
| composition(converse(join(one,A)),complement(zero)) = composition(converse(join(one,A)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,A)),complement(zero)),composition(converse(join(one,A)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2078,plain,
( complement(zero) != top
| composition(converse(join(one,A)),complement(zero)) = composition(converse(join(one,A)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,A)),complement(zero)),composition(converse(join(one,A)),complement(zero))) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
composition(converse(join(one,A)),complement(zero)) = composition(converse(join(one,A)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_2078]) ).
cnf(refute_0_2080,plain,
join(one,converse(A)) = converse(join(one,A)),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(A))]]) ).
cnf(refute_0_2081,plain,
composition(join(one,converse(A)),complement(zero)) = composition(join(one,converse(A)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(A)),complement(zero)))]]) ).
cnf(refute_0_2082,plain,
( composition(join(one,converse(A)),complement(zero)) != composition(join(one,converse(A)),complement(zero))
| join(one,converse(A)) != converse(join(one,A))
| composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(A)),complement(zero)),composition(join(one,converse(A)),complement(zero))) ),[1,0],$fot(converse(join(one,A)))]]) ).
cnf(refute_0_2083,plain,
( join(one,converse(A)) != converse(join(one,A))
| composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(A)),complement(zero)),composition(join(one,converse(A)),complement(zero))) )],[refute_0_2081,refute_0_2082]) ).
cnf(refute_0_2084,plain,
composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),complement(zero)),
inference(resolve,[$cnf( $equal(join(one,converse(A)),converse(join(one,A))) )],[refute_0_2080,refute_0_2083]) ).
cnf(refute_0_2085,plain,
( composition(converse(join(one,A)),complement(zero)) != composition(converse(join(one,A)),top)
| composition(join(one,converse(A)),complement(zero)) != composition(converse(join(one,A)),complement(zero))
| composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(one,converse(A)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,A)),complement(zero)))),bind(Z,$fot(composition(converse(join(one,A)),top)))]]) ).
cnf(refute_0_2086,plain,
( composition(converse(join(one,A)),complement(zero)) != composition(converse(join(one,A)),top)
| composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(A)),complement(zero)),composition(converse(join(one,A)),complement(zero))) )],[refute_0_2084,refute_0_2085]) ).
cnf(refute_0_2087,plain,
composition(join(one,converse(A)),complement(zero)) = composition(converse(join(one,A)),top),
inference(resolve,[$cnf( $equal(composition(converse(join(one,A)),complement(zero)),composition(converse(join(one,A)),top)) )],[refute_0_2079,refute_0_2086]) ).
cnf(refute_0_2088,plain,
( composition(converse(join(one,A)),top) != converse(composition(top,join(one,A)))
| composition(join(one,converse(A)),complement(zero)) != composition(converse(join(one,A)),top)
| composition(join(one,converse(A)),complement(zero)) = converse(composition(top,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(one,converse(A)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,A)),top))),bind(Z,$fot(converse(composition(top,join(one,A)))))]]) ).
cnf(refute_0_2089,plain,
( composition(converse(join(one,A)),top) != converse(composition(top,join(one,A)))
| composition(join(one,converse(A)),complement(zero)) = converse(composition(top,join(one,A))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(A)),complement(zero)),composition(converse(join(one,A)),top)) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
composition(join(one,converse(A)),complement(zero)) = converse(composition(top,join(one,A))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,A)),top),converse(composition(top,join(one,A)))) )],[refute_0_2075,refute_0_2089]) ).
cnf(refute_0_2091,plain,
composition(join(converse(A),one),complement(zero)) = composition(join(one,converse(A)),complement(zero)),
inference(subst,[],[refute_0_1406:[bind(X_150,$fot(converse(A))),bind(X_151,$fot(one)),bind(X_152,$fot(complement(zero)))]]) ).
cnf(refute_0_2092,plain,
join(complement(zero),composition(converse(A),complement(zero))) = composition(join(converse(A),one),complement(zero)),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(converse(A))),bind(X_152,$fot(complement(zero)))]]) ).
cnf(refute_0_2093,plain,
( composition(join(converse(A),one),complement(zero)) != composition(join(one,converse(A)),complement(zero))
| join(complement(zero),composition(converse(A),complement(zero))) != composition(join(converse(A),one),complement(zero))
| join(complement(zero),composition(converse(A),complement(zero))) = composition(join(one,converse(A)),complement(zero)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(zero),composition(converse(A),complement(zero))))),bind(Y,$fot(composition(join(converse(A),one),complement(zero)))),bind(Z,$fot(composition(join(one,converse(A)),complement(zero))))]]) ).
cnf(refute_0_2094,plain,
( composition(join(converse(A),one),complement(zero)) != composition(join(one,converse(A)),complement(zero))
| join(complement(zero),composition(converse(A),complement(zero))) = composition(join(one,converse(A)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(zero))),composition(join(converse(A),one),complement(zero))) )],[refute_0_2092,refute_0_2093]) ).
cnf(refute_0_2095,plain,
join(complement(zero),composition(converse(A),complement(zero))) = composition(join(one,converse(A)),complement(zero)),
inference(resolve,[$cnf( $equal(composition(join(converse(A),one),complement(zero)),composition(join(one,converse(A)),complement(zero))) )],[refute_0_2091,refute_0_2094]) ).
cnf(refute_0_2096,plain,
( composition(join(one,converse(A)),complement(zero)) != converse(composition(top,join(one,A)))
| join(complement(zero),composition(converse(A),complement(zero))) != composition(join(one,converse(A)),complement(zero))
| join(complement(zero),composition(converse(A),complement(zero))) = converse(composition(top,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(zero),composition(converse(A),complement(zero))))),bind(Y,$fot(composition(join(one,converse(A)),complement(zero)))),bind(Z,$fot(converse(composition(top,join(one,A)))))]]) ).
cnf(refute_0_2097,plain,
( composition(join(one,converse(A)),complement(zero)) != converse(composition(top,join(one,A)))
| join(complement(zero),composition(converse(A),complement(zero))) = converse(composition(top,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(zero))),composition(join(one,converse(A)),complement(zero))) )],[refute_0_2095,refute_0_2096]) ).
cnf(refute_0_2098,plain,
join(complement(zero),composition(converse(A),complement(zero))) = converse(composition(top,join(one,A))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(A)),complement(zero)),converse(composition(top,join(one,A)))) )],[refute_0_2090,refute_0_2097]) ).
cnf(refute_0_2099,plain,
( join(complement(zero),composition(converse(A),complement(zero))) != complement(zero)
| join(complement(zero),composition(converse(A),complement(zero))) != converse(composition(top,join(one,A)))
| converse(composition(top,join(one,A))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(zero))),complement(zero)) ),[0],$fot(converse(composition(top,join(one,A))))]]) ).
cnf(refute_0_2100,plain,
( join(complement(zero),composition(converse(A),complement(zero))) != complement(zero)
| converse(composition(top,join(one,A))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(zero))),converse(composition(top,join(one,A)))) )],[refute_0_2098,refute_0_2099]) ).
cnf(refute_0_2101,plain,
( complement(zero) != top
| converse(composition(top,join(one,A))) != complement(zero)
| converse(composition(top,join(one,A))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,A))),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_2102,plain,
( converse(composition(top,join(one,A))) != complement(zero)
| converse(composition(top,join(one,A))) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1281,refute_0_2101]) ).
cnf(refute_0_2103,plain,
( join(complement(zero),composition(converse(A),complement(zero))) != complement(zero)
| converse(composition(top,join(one,A))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,A))),complement(zero)) )],[refute_0_2100,refute_0_2102]) ).
cnf(refute_0_2104,plain,
converse(composition(top,join(one,A))) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(A),complement(zero))),complement(zero)) )],[refute_0_2072,refute_0_2103]) ).
cnf(refute_0_2105,plain,
converse(composition(top,join(one,converse(X_5)))) = top,
inference(subst,[],[refute_0_2104:[bind(A,$fot(converse(X_5)))]]) ).
cnf(refute_0_2106,plain,
( converse(composition(top,join(one,converse(X_5)))) != top
| join(one,converse(X_5)) != converse(join(one,X_5))
| converse(composition(top,converse(join(one,X_5)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,converse(X_5)))),top) ),[0,0,1],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_2107,plain,
( converse(composition(top,join(one,converse(X_5)))) != top
| converse(composition(top,converse(join(one,X_5)))) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_458,refute_0_2106]) ).
cnf(refute_0_2108,plain,
converse(composition(top,converse(join(one,X_5)))) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,converse(X_5)))),top) )],[refute_0_2105,refute_0_2107]) ).
cnf(refute_0_2109,plain,
composition(join(one,X_5),converse(top)) = composition(join(one,X_5),converse(top)),
introduced(tautology,[refl,[$fot(composition(join(one,X_5),converse(top)))]]) ).
cnf(refute_0_2110,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),converse(top))
| converse(top) != top
| composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2111,plain,
( converse(top) != top
| composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),converse(top))) )],[refute_0_2109,refute_0_2110]) ).
cnf(refute_0_2112,plain,
composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_2111]) ).
cnf(refute_0_2113,plain,
converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),converse(top)),
inference(subst,[],[refute_0_1630:[bind(A,$fot(join(one,X_5))),bind(X_8,$fot(top))]]) ).
cnf(refute_0_2114,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) != composition(join(one,X_5),converse(top))
| converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(top,converse(join(one,X_5)))))),bind(Y,$fot(composition(join(one,X_5),converse(top)))),bind(Z,$fot(composition(join(one,X_5),top)))]]) ).
cnf(refute_0_2115,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),composition(join(one,X_5),converse(top))) )],[refute_0_2113,refute_0_2114]) ).
cnf(refute_0_2116,plain,
converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top),
inference(resolve,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),top)) )],[refute_0_2112,refute_0_2115]) ).
cnf(refute_0_2117,plain,
( converse(composition(top,converse(join(one,X_5)))) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) != top
| composition(join(one,X_5),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),top) ),[0],$fot(composition(join(one,X_5),top))]]) ).
cnf(refute_0_2118,plain,
( converse(composition(top,converse(join(one,X_5)))) != top
| composition(join(one,X_5),top) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),composition(join(one,X_5),top)) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
composition(join(one,X_5),top) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),top) )],[refute_0_2108,refute_0_2118]) ).
cnf(refute_0_2120,plain,
composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top) = top,
inference(subst,[],[refute_0_2119:[bind(X_5,$fot(complement(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2121,plain,
converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)),
introduced(tautology,[refl,[$fot(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))]]) ).
cnf(refute_0_2122,plain,
( composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top) != top
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) != converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)),converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2123,plain,
( composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top) != top
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)),converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = converse(top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top),top) )],[refute_0_2120,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) != converse(top)
| converse(top) != top
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2126,plain,
( converse(top) != top
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = top ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)),converse(top)) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_2126]) ).
cnf(refute_0_2128,plain,
complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))]]) ).
cnf(refute_0_2129,plain,
( complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) != complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))
| converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) != top
| complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2130,plain,
( converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)) != top
| complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = complement(top),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)),top) )],[refute_0_2127,refute_0_2130]) ).
cnf(refute_0_2132,plain,
( complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) != complement(top)
| complement(top) != zero
| complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2133,plain,
( complement(top) != zero
| complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),complement(top)) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_2133]) ).
cnf(refute_0_2135,plain,
meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) = complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),
inference(subst,[],[refute_0_269:[bind(X_89,$fot(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))]]) ).
cnf(refute_0_2136,plain,
( complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) != zero
| meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) != complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))
| meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),bind(Y,$fot(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2137,plain,
( complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))) != zero
| meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))),complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) )],[refute_0_2135,refute_0_2136]) ).
cnf(refute_0_2138,plain,
meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))),zero) )],[refute_0_2134,refute_0_2137]) ).
cnf(refute_0_2139,plain,
join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),
introduced(tautology,[refl,[$fot(join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))]]) ).
cnf(refute_0_2140,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) != zero
| join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2141,plain,
( meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))) != zero
| join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_2139,refute_0_2140]) ).
cnf(refute_0_2142,plain,
join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero),
inference(resolve,[$cnf( $equal(meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))),zero) )],[refute_0_2138,refute_0_2141]) ).
cnf(refute_0_2143,plain,
converse(join(sk1,converse(meet(one,complement(sk1))))) = join(converse(sk1),meet(one,complement(sk1))),
inference(subst,[],[refute_0_345:[bind(A,$fot(meet(one,complement(sk1)))),bind(X_4,$fot(sk1))]]) ).
cnf(refute_0_2144,plain,
complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) = complement(converse(join(sk1,converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(converse(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2145,plain,
( complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) != complement(converse(join(sk1,converse(meet(one,complement(sk1))))))
| converse(join(sk1,converse(meet(one,complement(sk1))))) != join(converse(sk1),meet(one,complement(sk1)))
| complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,converse(meet(one,complement(sk1)))))),complement(converse(join(sk1,converse(meet(one,complement(sk1))))))) ),[1,0],$fot(join(converse(sk1),meet(one,complement(sk1))))]]) ).
cnf(refute_0_2146,plain,
( converse(join(sk1,converse(meet(one,complement(sk1))))) != join(converse(sk1),meet(one,complement(sk1)))
| complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(meet(one,complement(sk1)))))),complement(converse(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_2144,refute_0_2145]) ).
cnf(refute_0_2147,plain,
complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(meet(one,complement(sk1))))),join(converse(sk1),meet(one,complement(sk1)))) )],[refute_0_2143,refute_0_2146]) ).
cnf(refute_0_2148,plain,
converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(converse(join(sk1,converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_901:[bind(A,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2149,plain,
( complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) != complement(converse(join(sk1,converse(meet(one,complement(sk1))))))
| converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))))),bind(Y,$fot(complement(converse(join(sk1,converse(meet(one,complement(sk1)))))))),bind(Z,$fot(complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2150,plain,
( complement(converse(join(sk1,converse(meet(one,complement(sk1)))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),complement(converse(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(meet(one,complement(sk1)))))),complement(join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2147,refute_0_2150]) ).
cnf(refute_0_2152,plain,
join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))]]) ).
cnf(refute_0_2153,plain,
( converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) ),[1,0],$fot(complement(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2154,plain,
( converse(complement(join(sk1,converse(meet(one,complement(sk1)))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_2152,refute_0_2153]) ).
cnf(refute_0_2155,plain,
join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),complement(join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2151,refute_0_2154]) ).
cnf(refute_0_2156,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))),bind(Y,$fot(join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))),bind(Z,$fot(join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)))]]) ).
cnf(refute_0_2157,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero),
inference(resolve,[$cnf( $equal(join(complement(join(converse(sk1),meet(one,complement(sk1)))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)) )],[refute_0_2142,refute_0_2157]) ).
cnf(refute_0_2159,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))),bind(Y,$fot(join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero))),bind(Z,$fot(complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2160,plain,
( join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = complement(join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero)) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = complement(join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(join(converse(sk1),meet(one,complement(sk1)))),zero),complement(join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2058,refute_0_2160]) ).
cnf(refute_0_2162,plain,
join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) = join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))))]]) ).
cnf(refute_0_2163,plain,
( join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) != join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))
| join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))) ),[1,1],$fot(complement(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2164,plain,
( join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != complement(join(converse(sk1),meet(one,complement(sk1))))
| join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),complement(join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2161,refute_0_2164]) ).
cnf(refute_0_2166,plain,
join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),
inference(subst,[],[refute_0_1920:[bind(X_5,$fot(complement(join(sk1,converse(meet(one,complement(sk1))))))),bind(X_51,$fot(meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))]]) ).
cnf(refute_0_2167,plain,
( join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))
| join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) != join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))
| join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))),bind(Y,$fot(join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))))),bind(Z,$fot(join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2168,plain,
( join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) != join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))
| join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(join(sk1,converse(meet(one,complement(sk1)))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))),join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2165,refute_0_2168]) ).
cnf(refute_0_2170,plain,
( join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))) != join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))
| top != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| top = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) ),[1],$fot(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2171,plain,
( top != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| top = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top))))),join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))
| top = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(top,join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_2053,refute_0_2171]) ).
cnf(refute_0_2173,plain,
top = join(one,complement(join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(top,complement(converse(composition(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top)))))) )],[refute_0_2051,refute_0_2172]) ).
cnf(refute_0_2174,plain,
( top != join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))
| join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2175,plain,
join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2173,refute_0_2174]) ).
cnf(refute_0_2176,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))))))))))
| join(one,complement(join(converse(sk1),meet(one,complement(sk1))))) != top
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))))))))))) ),[1,1,1,0,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_2177,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))))))))))
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))),top) )],[refute_0_2175,refute_0_2176]) ).
cnf(refute_0_2178,plain,
join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(one,complement(sk1))))))))))))) )],[refute_0_1071,refute_0_2177]) ).
cnf(refute_0_2179,plain,
join(join(meet(X_50,zero),X_320),join(X_49,X_50)) = join(X_49,join(X_50,join(meet(X_50,zero),X_320))),
inference(subst,[],[refute_0_379:[bind(A,$fot(join(meet(X_50,zero),X_320)))]]) ).
cnf(refute_0_2180,plain,
join(A,join(meet(A,zero),C)) = join(join(A,meet(A,zero)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(meet(A,zero)))]]) ).
cnf(refute_0_2181,plain,
A = join(A,meet(A,zero)),
inference(subst,[],[refute_0_1842:[bind(X_99,$fot(A))]]) ).
cnf(refute_0_2182,plain,
( A != join(A,meet(A,zero))
| join(A,meet(A,zero)) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(A,meet(A,zero))))]]) ).
cnf(refute_0_2183,plain,
join(A,meet(A,zero)) = A,
inference(resolve,[$cnf( $equal(A,join(A,meet(A,zero))) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( join(A,join(meet(A,zero),C)) != join(join(A,meet(A,zero)),C)
| join(A,meet(A,zero)) != A
| join(A,join(meet(A,zero),C)) = join(A,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(meet(A,zero),C)),join(join(A,meet(A,zero)),C)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_2185,plain,
( join(A,join(meet(A,zero),C)) != join(join(A,meet(A,zero)),C)
| join(A,join(meet(A,zero),C)) = join(A,C) ),
inference(resolve,[$cnf( $equal(join(A,meet(A,zero)),A) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
join(A,join(meet(A,zero),C)) = join(A,C),
inference(resolve,[$cnf( $equal(join(A,join(meet(A,zero),C)),join(join(A,meet(A,zero)),C)) )],[refute_0_2180,refute_0_2185]) ).
cnf(refute_0_2187,plain,
join(X_50,join(meet(X_50,zero),X_320)) = join(X_50,X_320),
inference(subst,[],[refute_0_2186:[bind(A,$fot(X_50)),bind(C,$fot(X_320))]]) ).
cnf(refute_0_2188,plain,
( join(X_50,join(meet(X_50,zero),X_320)) != join(X_50,X_320)
| join(join(meet(X_50,zero),X_320),join(X_49,X_50)) != join(X_49,join(X_50,join(meet(X_50,zero),X_320)))
| join(join(meet(X_50,zero),X_320),join(X_49,X_50)) = join(X_49,join(X_50,X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_50,zero),X_320),join(X_49,X_50)),join(X_49,join(X_50,join(meet(X_50,zero),X_320)))) ),[1,1],$fot(join(X_50,X_320))]]) ).
cnf(refute_0_2189,plain,
( join(join(meet(X_50,zero),X_320),join(X_49,X_50)) != join(X_49,join(X_50,join(meet(X_50,zero),X_320)))
| join(join(meet(X_50,zero),X_320),join(X_49,X_50)) = join(X_49,join(X_50,X_320)) ),
inference(resolve,[$cnf( $equal(join(X_50,join(meet(X_50,zero),X_320)),join(X_50,X_320)) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
join(join(meet(X_50,zero),X_320),join(X_49,X_50)) = join(X_49,join(X_50,X_320)),
inference(resolve,[$cnf( $equal(join(join(meet(X_50,zero),X_320),join(X_49,X_50)),join(X_49,join(X_50,join(meet(X_50,zero),X_320)))) )],[refute_0_2179,refute_0_2189]) ).
cnf(refute_0_2191,plain,
join(X_199,join(X_200,X_201)) = join(X_200,join(X_201,X_199)),
inference(subst,[],[refute_0_379:[bind(A,$fot(X_199)),bind(X_49,$fot(X_200)),bind(X_50,$fot(X_201))]]) ).
cnf(refute_0_2192,plain,
join(X_201,X_200) = join(X_200,X_201),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_201)),bind(B,$fot(X_200))]]) ).
cnf(refute_0_2193,plain,
( join(X_201,X_200) != join(X_200,X_201)
| join(X_200,X_201) = join(X_201,X_200) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_201,X_200))),bind(Y,$fot(join(X_200,X_201)))]]) ).
cnf(refute_0_2194,plain,
join(X_200,X_201) = join(X_201,X_200),
inference(resolve,[$cnf( $equal(join(X_201,X_200),join(X_200,X_201)) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
( join(X_199,join(X_200,X_201)) != join(X_200,join(X_201,X_199))
| join(X_200,X_201) != join(X_201,X_200)
| join(X_199,join(X_201,X_200)) = join(X_200,join(X_201,X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_199,join(X_200,X_201)),join(X_200,join(X_201,X_199))) ),[0,1],$fot(join(X_201,X_200))]]) ).
cnf(refute_0_2196,plain,
( join(X_199,join(X_200,X_201)) != join(X_200,join(X_201,X_199))
| join(X_199,join(X_201,X_200)) = join(X_200,join(X_201,X_199)) ),
inference(resolve,[$cnf( $equal(join(X_200,X_201),join(X_201,X_200)) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
join(X_199,join(X_201,X_200)) = join(X_200,join(X_201,X_199)),
inference(resolve,[$cnf( $equal(join(X_199,join(X_200,X_201)),join(X_200,join(X_201,X_199))) )],[refute_0_2191,refute_0_2196]) ).
cnf(refute_0_2198,plain,
( join(X_199,join(X_201,X_200)) != join(X_200,join(X_201,X_199))
| join(X_200,join(X_201,X_199)) = join(X_199,join(X_201,X_200)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_199,join(X_201,X_200)))),bind(Y,$fot(join(X_200,join(X_201,X_199))))]]) ).
cnf(refute_0_2199,plain,
join(X_200,join(X_201,X_199)) = join(X_199,join(X_201,X_200)),
inference(resolve,[$cnf( $equal(join(X_199,join(X_201,X_200)),join(X_200,join(X_201,X_199))) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
join(join(meet(X_50,zero),X_320),join(X_49,X_50)) = join(X_50,join(X_49,join(meet(X_50,zero),X_320))),
inference(subst,[],[refute_0_2199:[bind(X_199,$fot(X_50)),bind(X_200,$fot(join(meet(X_50,zero),X_320))),bind(X_201,$fot(X_49))]]) ).
cnf(refute_0_2201,plain,
( join(join(meet(X_50,zero),X_320),join(X_49,X_50)) != join(X_49,join(X_50,X_320))
| join(join(meet(X_50,zero),X_320),join(X_49,X_50)) != join(X_50,join(X_49,join(meet(X_50,zero),X_320)))
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_49,join(X_50,X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_50,zero),X_320),join(X_49,X_50)),join(X_49,join(X_50,X_320))) ),[0],$fot(join(X_50,join(X_49,join(meet(X_50,zero),X_320))))]]) ).
cnf(refute_0_2202,plain,
( join(join(meet(X_50,zero),X_320),join(X_49,X_50)) != join(X_49,join(X_50,X_320))
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_49,join(X_50,X_320)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_50,zero),X_320),join(X_49,X_50)),join(X_50,join(X_49,join(meet(X_50,zero),X_320)))) )],[refute_0_2200,refute_0_2201]) ).
cnf(refute_0_2203,plain,
join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_49,join(X_50,X_320)),
inference(resolve,[$cnf( $equal(join(join(meet(X_50,zero),X_320),join(X_49,X_50)),join(X_49,join(X_50,X_320))) )],[refute_0_2190,refute_0_2202]) ).
cnf(refute_0_2204,plain,
join(zero,X_320) = X_320,
inference(subst,[],[refute_0_217:[bind(X_89,$fot(X_320))]]) ).
cnf(refute_0_2205,plain,
meet(X_88,X_87) = meet(X_87,X_88),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(X_88)),bind(X_27,$fot(X_87))]]) ).
cnf(refute_0_2206,plain,
( meet(X_88,X_87) != meet(X_87,X_88)
| meet(X_87,X_88) = meet(X_88,X_87) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_88,X_87))),bind(Y,$fot(meet(X_87,X_88)))]]) ).
cnf(refute_0_2207,plain,
meet(X_87,X_88) = meet(X_88,X_87),
inference(resolve,[$cnf( $equal(meet(X_88,X_87),meet(X_87,X_88)) )],[refute_0_2205,refute_0_2206]) ).
cnf(refute_0_2208,plain,
( X_87 != join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))
| meet(X_87,X_88) != meet(X_88,X_87)
| X_87 = join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))) ),[1,0],$fot(meet(X_88,X_87))]]) ).
cnf(refute_0_2209,plain,
( X_87 != join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))
| X_87 = join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) ),
inference(resolve,[$cnf( $equal(meet(X_87,X_88),meet(X_88,X_87)) )],[refute_0_2207,refute_0_2208]) ).
cnf(refute_0_2210,plain,
X_87 = join(meet(X_88,X_87),complement(join(complement(X_87),X_88))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,X_88),complement(join(complement(X_87),X_88)))) )],[refute_0_630,refute_0_2209]) ).
cnf(refute_0_2211,plain,
meet(A,join(zero,complement(X_31))) = complement(join(complement(A),complement(join(zero,complement(X_31))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(zero,complement(X_31))))]]) ).
cnf(refute_0_2212,plain,
( complement(join(zero,complement(X_31))) != meet(top,X_31)
| meet(A,join(zero,complement(X_31))) != complement(join(complement(A),complement(join(zero,complement(X_31)))))
| meet(A,join(zero,complement(X_31))) = complement(join(complement(A),meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_31))),complement(join(complement(A),complement(join(zero,complement(X_31)))))) ),[1,0,1],$fot(meet(top,X_31))]]) ).
cnf(refute_0_2213,plain,
( meet(A,join(zero,complement(X_31))) != complement(join(complement(A),complement(join(zero,complement(X_31)))))
| meet(A,join(zero,complement(X_31))) = complement(join(complement(A),meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_31))),meet(top,X_31)) )],[refute_0_247,refute_0_2212]) ).
cnf(refute_0_2214,plain,
meet(A,join(zero,complement(X_31))) = complement(join(complement(A),meet(top,X_31))),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_31))),complement(join(complement(A),complement(join(zero,complement(X_31)))))) )],[refute_0_2211,refute_0_2213]) ).
cnf(refute_0_2215,plain,
meet(A,join(zero,complement(X_31))) = meet(A,join(zero,complement(X_31))),
introduced(tautology,[refl,[$fot(meet(A,join(zero,complement(X_31))))]]) ).
cnf(refute_0_2216,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(A,join(zero,complement(X_31))) != meet(A,join(zero,complement(X_31)))
| meet(A,join(zero,complement(X_31))) = meet(A,complement(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_31))),meet(A,join(zero,complement(X_31)))) ),[1,1],$fot(complement(X_31))]]) ).
cnf(refute_0_2217,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(A,join(zero,complement(X_31))) = meet(A,complement(X_31)) ),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_31))),meet(A,join(zero,complement(X_31)))) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
meet(A,join(zero,complement(X_31))) = meet(A,complement(X_31)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_31)),complement(X_31)) )],[refute_0_251,refute_0_2217]) ).
cnf(refute_0_2219,plain,
( meet(A,join(zero,complement(X_31))) != complement(join(complement(A),meet(top,X_31)))
| meet(A,join(zero,complement(X_31))) != meet(A,complement(X_31))
| meet(A,complement(X_31)) = complement(join(complement(A),meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_31))),complement(join(complement(A),meet(top,X_31)))) ),[0],$fot(meet(A,complement(X_31)))]]) ).
cnf(refute_0_2220,plain,
( meet(A,join(zero,complement(X_31))) != complement(join(complement(A),meet(top,X_31)))
| meet(A,complement(X_31)) = complement(join(complement(A),meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_31))),meet(A,complement(X_31))) )],[refute_0_2218,refute_0_2219]) ).
cnf(refute_0_2221,plain,
join(complement(A),meet(top,X_31)) = join(complement(A),meet(top,X_31)),
introduced(tautology,[refl,[$fot(join(complement(A),meet(top,X_31)))]]) ).
cnf(refute_0_2222,plain,
( join(complement(A),meet(top,X_31)) != join(complement(A),meet(top,X_31))
| meet(top,X_31) != X_31
| join(complement(A),meet(top,X_31)) = join(complement(A),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(A),meet(top,X_31)),join(complement(A),meet(top,X_31))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_2223,plain,
( meet(top,X_31) != X_31
| join(complement(A),meet(top,X_31)) = join(complement(A),X_31) ),
inference(resolve,[$cnf( $equal(join(complement(A),meet(top,X_31)),join(complement(A),meet(top,X_31))) )],[refute_0_2221,refute_0_2222]) ).
cnf(refute_0_2224,plain,
join(complement(A),meet(top,X_31)) = join(complement(A),X_31),
inference(resolve,[$cnf( $equal(meet(top,X_31),X_31) )],[refute_0_270,refute_0_2223]) ).
cnf(refute_0_2225,plain,
complement(join(complement(A),meet(top,X_31))) = complement(join(complement(A),meet(top,X_31))),
introduced(tautology,[refl,[$fot(complement(join(complement(A),meet(top,X_31))))]]) ).
cnf(refute_0_2226,plain,
( complement(join(complement(A),meet(top,X_31))) != complement(join(complement(A),meet(top,X_31)))
| join(complement(A),meet(top,X_31)) != join(complement(A),X_31)
| complement(join(complement(A),meet(top,X_31))) = complement(join(complement(A),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),meet(top,X_31))),complement(join(complement(A),meet(top,X_31)))) ),[1,0],$fot(join(complement(A),X_31))]]) ).
cnf(refute_0_2227,plain,
( join(complement(A),meet(top,X_31)) != join(complement(A),X_31)
| complement(join(complement(A),meet(top,X_31))) = complement(join(complement(A),X_31)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),meet(top,X_31))),complement(join(complement(A),meet(top,X_31)))) )],[refute_0_2225,refute_0_2226]) ).
cnf(refute_0_2228,plain,
complement(join(complement(A),meet(top,X_31))) = complement(join(complement(A),X_31)),
inference(resolve,[$cnf( $equal(join(complement(A),meet(top,X_31)),join(complement(A),X_31)) )],[refute_0_2224,refute_0_2227]) ).
cnf(refute_0_2229,plain,
( complement(join(complement(A),meet(top,X_31))) != complement(join(complement(A),X_31))
| meet(A,complement(X_31)) != complement(join(complement(A),meet(top,X_31)))
| meet(A,complement(X_31)) = complement(join(complement(A),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,complement(X_31)),complement(join(complement(A),meet(top,X_31)))) ),[1],$fot(complement(join(complement(A),X_31)))]]) ).
cnf(refute_0_2230,plain,
( meet(A,complement(X_31)) != complement(join(complement(A),meet(top,X_31)))
| meet(A,complement(X_31)) = complement(join(complement(A),X_31)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),meet(top,X_31))),complement(join(complement(A),X_31))) )],[refute_0_2228,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( meet(A,join(zero,complement(X_31))) != complement(join(complement(A),meet(top,X_31)))
| meet(A,complement(X_31)) = complement(join(complement(A),X_31)) ),
inference(resolve,[$cnf( $equal(meet(A,complement(X_31)),complement(join(complement(A),meet(top,X_31)))) )],[refute_0_2220,refute_0_2230]) ).
cnf(refute_0_2232,plain,
meet(A,complement(X_31)) = complement(join(complement(A),X_31)),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_31))),complement(join(complement(A),meet(top,X_31)))) )],[refute_0_2214,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( meet(A,complement(X_31)) != complement(join(complement(A),X_31))
| complement(join(complement(A),X_31)) = meet(A,complement(X_31)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,complement(X_31)))),bind(Y,$fot(complement(join(complement(A),X_31))))]]) ).
cnf(refute_0_2234,plain,
complement(join(complement(A),X_31)) = meet(A,complement(X_31)),
inference(resolve,[$cnf( $equal(meet(A,complement(X_31)),complement(join(complement(A),X_31))) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
complement(join(complement(X_87),X_88)) = meet(X_87,complement(X_88)),
inference(subst,[],[refute_0_2234:[bind(A,$fot(X_87)),bind(X_31,$fot(X_88))]]) ).
cnf(refute_0_2236,plain,
join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) = join(meet(X_88,X_87),complement(join(complement(X_87),X_88))),
introduced(tautology,[refl,[$fot(join(meet(X_88,X_87),complement(join(complement(X_87),X_88))))]]) ).
cnf(refute_0_2237,plain,
( complement(join(complement(X_87),X_88)) != meet(X_87,complement(X_88))
| join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) != join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))
| join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) = join(meet(X_88,X_87),meet(X_87,complement(X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_88,X_87),complement(join(complement(X_87),X_88))),join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))) ),[1,1],$fot(meet(X_87,complement(X_88)))]]) ).
cnf(refute_0_2238,plain,
( complement(join(complement(X_87),X_88)) != meet(X_87,complement(X_88))
| join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) = join(meet(X_88,X_87),meet(X_87,complement(X_88))) ),
inference(resolve,[$cnf( $equal(join(meet(X_88,X_87),complement(join(complement(X_87),X_88))),join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) = join(meet(X_88,X_87),meet(X_87,complement(X_88))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_87),X_88)),meet(X_87,complement(X_88))) )],[refute_0_2235,refute_0_2238]) ).
cnf(refute_0_2240,plain,
( X_87 != join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))
| join(meet(X_88,X_87),complement(join(complement(X_87),X_88))) != join(meet(X_88,X_87),meet(X_87,complement(X_88)))
| X_87 = join(meet(X_88,X_87),meet(X_87,complement(X_88))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(meet(X_88,X_87),meet(X_87,complement(X_88)))) ),[0],$fot(join(meet(X_88,X_87),complement(join(complement(X_87),X_88))))]]) ).
cnf(refute_0_2241,plain,
( X_87 != join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))
| X_87 = join(meet(X_88,X_87),meet(X_87,complement(X_88))) ),
inference(resolve,[$cnf( $equal(join(meet(X_88,X_87),complement(join(complement(X_87),X_88))),join(meet(X_88,X_87),meet(X_87,complement(X_88)))) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
X_87 = join(meet(X_88,X_87),meet(X_87,complement(X_88))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_88,X_87),complement(join(complement(X_87),X_88)))) )],[refute_0_2210,refute_0_2241]) ).
cnf(refute_0_2243,plain,
zero = join(meet(X_88,zero),meet(zero,complement(X_88))),
inference(subst,[],[refute_0_2242:[bind(X_87,$fot(zero))]]) ).
cnf(refute_0_2244,plain,
X_87 = join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(join(X_50,complement(join(complement(X_87),X_50)))))]]) ).
cnf(refute_0_2245,plain,
top = join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(complement(X_87)))]]) ).
cnf(refute_0_2246,plain,
( top != join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))
| join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))))]]) ).
cnf(refute_0_2247,plain,
join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))) )],[refute_0_2245,refute_0_2246]) ).
cnf(refute_0_2248,plain,
( X_87 != join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))))
| join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))) != top
| X_87 = join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2249,plain,
( X_87 != join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))))
| X_87 = join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50)))),top) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
X_87 = join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(join(complement(X_87),join(X_50,complement(join(complement(X_87),X_50))))))) )],[refute_0_2244,refute_0_2249]) ).
cnf(refute_0_2251,plain,
join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))]]) ).
cnf(refute_0_2252,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) != join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2253,plain,
( complement(top) != zero
| join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) )],[refute_0_2251,refute_0_2252]) ).
cnf(refute_0_2254,plain,
join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_2253]) ).
cnf(refute_0_2255,plain,
join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) = join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))]]) ).
cnf(refute_0_2256,plain,
( join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) != join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) != join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))),bind(Z,$fot(join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))))]]) ).
cnf(refute_0_2257,plain,
( join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) != join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)),join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) )],[refute_0_2255,refute_0_2256]) ).
cnf(refute_0_2258,plain,
join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) )],[refute_0_2254,refute_0_2257]) ).
cnf(refute_0_2259,plain,
( X_87 != join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top))
| join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)) != join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| X_87 = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) ),[0],$fot(join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)))]]) ).
cnf(refute_0_2260,plain,
( X_87 != join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top))
| X_87 = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top)),join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
X_87 = join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),complement(top))) )],[refute_0_2250,refute_0_2260]) ).
cnf(refute_0_2262,plain,
complement(join(complement(X_87),X_50)) = meet(X_87,complement(X_50)),
inference(subst,[],[refute_0_2234:[bind(A,$fot(X_87)),bind(X_31,$fot(X_50))]]) ).
cnf(refute_0_2263,plain,
join(X_50,complement(join(complement(X_87),X_50))) = join(X_50,complement(join(complement(X_87),X_50))),
introduced(tautology,[refl,[$fot(join(X_50,complement(join(complement(X_87),X_50))))]]) ).
cnf(refute_0_2264,plain,
( complement(join(complement(X_87),X_50)) != meet(X_87,complement(X_50))
| join(X_50,complement(join(complement(X_87),X_50))) != join(X_50,complement(join(complement(X_87),X_50)))
| join(X_50,complement(join(complement(X_87),X_50))) = join(X_50,meet(X_87,complement(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_50,complement(join(complement(X_87),X_50))),join(X_50,complement(join(complement(X_87),X_50)))) ),[1,1],$fot(meet(X_87,complement(X_50)))]]) ).
cnf(refute_0_2265,plain,
( complement(join(complement(X_87),X_50)) != meet(X_87,complement(X_50))
| join(X_50,complement(join(complement(X_87),X_50))) = join(X_50,meet(X_87,complement(X_50))) ),
inference(resolve,[$cnf( $equal(join(X_50,complement(join(complement(X_87),X_50))),join(X_50,complement(join(complement(X_87),X_50)))) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
join(X_50,complement(join(complement(X_87),X_50))) = join(X_50,meet(X_87,complement(X_50))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_87),X_50)),meet(X_87,complement(X_50))) )],[refute_0_2262,refute_0_2265]) ).
cnf(refute_0_2267,plain,
meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) = meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),
introduced(tautology,[refl,[$fot(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))]]) ).
cnf(refute_0_2268,plain,
( join(X_50,complement(join(complement(X_87),X_50))) != join(X_50,meet(X_87,complement(X_50)))
| meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) != meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))
| meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) ),[1,1],$fot(join(X_50,meet(X_87,complement(X_50))))]]) ).
cnf(refute_0_2269,plain,
( join(X_50,complement(join(complement(X_87),X_50))) != join(X_50,meet(X_87,complement(X_50)))
| meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
inference(resolve,[$cnf( $equal(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))),
inference(resolve,[$cnf( $equal(join(X_50,complement(join(complement(X_87),X_50))),join(X_50,meet(X_87,complement(X_50)))) )],[refute_0_2266,refute_0_2269]) ).
cnf(refute_0_2271,plain,
join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))]]) ).
cnf(refute_0_2272,plain,
( join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) != meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))
| meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) != meet(X_87,join(X_50,meet(X_87,complement(X_50))))
| join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))),bind(Y,$fot(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))),bind(Z,$fot(meet(X_87,join(X_50,meet(X_87,complement(X_50))))))]]) ).
cnf(refute_0_2273,plain,
( meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))) != meet(X_87,join(X_50,meet(X_87,complement(X_50))))
| join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) )],[refute_0_2271,refute_0_2272]) ).
cnf(refute_0_2274,plain,
join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) = meet(X_87,join(X_50,meet(X_87,complement(X_50)))),
inference(resolve,[$cnf( $equal(meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))),meet(X_87,join(X_50,meet(X_87,complement(X_50))))) )],[refute_0_2270,refute_0_2273]) ).
cnf(refute_0_2275,plain,
( X_87 != join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))) != meet(X_87,join(X_50,meet(X_87,complement(X_50))))
| X_87 = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,join(X_50,meet(X_87,complement(X_50))))) ),[0],$fot(join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))))]]) ).
cnf(refute_0_2276,plain,
( X_87 != join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))
| X_87 = meet(X_87,join(X_50,meet(X_87,complement(X_50)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50))))),meet(X_87,join(X_50,meet(X_87,complement(X_50))))) )],[refute_0_2274,refute_0_2275]) ).
cnf(refute_0_2277,plain,
X_87 = meet(X_87,join(X_50,meet(X_87,complement(X_50)))),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,join(X_50,complement(join(complement(X_87),X_50)))))) )],[refute_0_2261,refute_0_2276]) ).
cnf(refute_0_2278,plain,
zero = meet(zero,join(X_50,meet(zero,complement(X_50)))),
inference(subst,[],[refute_0_2277:[bind(X_87,$fot(zero))]]) ).
cnf(refute_0_2279,plain,
join(X_319,join(meet(X_319,zero),meet(complement(X_319),zero))) = join(X_319,meet(complement(X_319),zero)),
inference(subst,[],[refute_0_2186:[bind(A,$fot(X_319)),bind(C,$fot(meet(complement(X_319),zero)))]]) ).
cnf(refute_0_2280,plain,
X_99 = join(meet(X_99,X_100),meet(complement(X_100),X_99)),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(X_99)),bind(X_88,$fot(X_100))]]) ).
cnf(refute_0_2281,plain,
meet(X_100,X_99) = meet(X_99,X_100),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(X_100)),bind(X_27,$fot(X_99))]]) ).
cnf(refute_0_2282,plain,
( meet(X_100,X_99) != meet(X_99,X_100)
| meet(X_99,X_100) = meet(X_100,X_99) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_100,X_99))),bind(Y,$fot(meet(X_99,X_100)))]]) ).
cnf(refute_0_2283,plain,
meet(X_99,X_100) = meet(X_100,X_99),
inference(resolve,[$cnf( $equal(meet(X_100,X_99),meet(X_99,X_100)) )],[refute_0_2281,refute_0_2282]) ).
cnf(refute_0_2284,plain,
( X_99 != join(meet(X_99,X_100),meet(complement(X_100),X_99))
| meet(X_99,X_100) != meet(X_100,X_99)
| X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(X_99,join(meet(X_99,X_100),meet(complement(X_100),X_99))) ),[1,0],$fot(meet(X_100,X_99))]]) ).
cnf(refute_0_2285,plain,
( X_99 != join(meet(X_99,X_100),meet(complement(X_100),X_99))
| X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)) ),
inference(resolve,[$cnf( $equal(meet(X_99,X_100),meet(X_100,X_99)) )],[refute_0_2283,refute_0_2284]) ).
cnf(refute_0_2286,plain,
X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)),
inference(resolve,[$cnf( $equal(X_99,join(meet(X_99,X_100),meet(complement(X_100),X_99))) )],[refute_0_2280,refute_0_2285]) ).
cnf(refute_0_2287,plain,
zero = join(meet(X_319,zero),meet(complement(X_319),zero)),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(X_319)),bind(X_99,$fot(zero))]]) ).
cnf(refute_0_2288,plain,
( zero != join(meet(X_319,zero),meet(complement(X_319),zero))
| join(meet(X_319,zero),meet(complement(X_319),zero)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(X_319,zero),meet(complement(X_319),zero))))]]) ).
cnf(refute_0_2289,plain,
join(meet(X_319,zero),meet(complement(X_319),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(X_319,zero),meet(complement(X_319),zero))) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
( join(X_319,join(meet(X_319,zero),meet(complement(X_319),zero))) != join(X_319,meet(complement(X_319),zero))
| join(meet(X_319,zero),meet(complement(X_319),zero)) != zero
| join(X_319,zero) = join(X_319,meet(complement(X_319),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_319,join(meet(X_319,zero),meet(complement(X_319),zero))),join(X_319,meet(complement(X_319),zero))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_2291,plain,
( join(X_319,join(meet(X_319,zero),meet(complement(X_319),zero))) != join(X_319,meet(complement(X_319),zero))
| join(X_319,zero) = join(X_319,meet(complement(X_319),zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_319,zero),meet(complement(X_319),zero)),zero) )],[refute_0_2289,refute_0_2290]) ).
cnf(refute_0_2292,plain,
join(X_319,zero) = join(X_319,meet(complement(X_319),zero)),
inference(resolve,[$cnf( $equal(join(X_319,join(meet(X_319,zero),meet(complement(X_319),zero))),join(X_319,meet(complement(X_319),zero))) )],[refute_0_2279,refute_0_2291]) ).
cnf(refute_0_2293,plain,
join(X_319,zero) = X_319,
inference(subst,[],[refute_0_783:[bind(X_89,$fot(X_319))]]) ).
cnf(refute_0_2294,plain,
( join(X_319,zero) != X_319
| join(X_319,zero) != join(X_319,meet(complement(X_319),zero))
| X_319 = join(X_319,meet(complement(X_319),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_319,zero),join(X_319,meet(complement(X_319),zero))) ),[0],$fot(X_319)]]) ).
cnf(refute_0_2295,plain,
( join(X_319,zero) != join(X_319,meet(complement(X_319),zero))
| X_319 = join(X_319,meet(complement(X_319),zero)) ),
inference(resolve,[$cnf( $equal(join(X_319,zero),X_319) )],[refute_0_2293,refute_0_2294]) ).
cnf(refute_0_2296,plain,
meet(complement(X_319),zero) = meet(zero,complement(X_319)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(zero)),bind(X_27,$fot(complement(X_319)))]]) ).
cnf(refute_0_2297,plain,
join(X_319,meet(complement(X_319),zero)) = join(X_319,meet(complement(X_319),zero)),
introduced(tautology,[refl,[$fot(join(X_319,meet(complement(X_319),zero)))]]) ).
cnf(refute_0_2298,plain,
( join(X_319,meet(complement(X_319),zero)) != join(X_319,meet(complement(X_319),zero))
| meet(complement(X_319),zero) != meet(zero,complement(X_319))
| join(X_319,meet(complement(X_319),zero)) = join(X_319,meet(zero,complement(X_319))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_319,meet(complement(X_319),zero)),join(X_319,meet(complement(X_319),zero))) ),[1,1],$fot(meet(zero,complement(X_319)))]]) ).
cnf(refute_0_2299,plain,
( meet(complement(X_319),zero) != meet(zero,complement(X_319))
| join(X_319,meet(complement(X_319),zero)) = join(X_319,meet(zero,complement(X_319))) ),
inference(resolve,[$cnf( $equal(join(X_319,meet(complement(X_319),zero)),join(X_319,meet(complement(X_319),zero))) )],[refute_0_2297,refute_0_2298]) ).
cnf(refute_0_2300,plain,
join(X_319,meet(complement(X_319),zero)) = join(X_319,meet(zero,complement(X_319))),
inference(resolve,[$cnf( $equal(meet(complement(X_319),zero),meet(zero,complement(X_319))) )],[refute_0_2296,refute_0_2299]) ).
cnf(refute_0_2301,plain,
( X_319 != join(X_319,meet(complement(X_319),zero))
| join(X_319,meet(complement(X_319),zero)) != join(X_319,meet(zero,complement(X_319)))
| X_319 = join(X_319,meet(zero,complement(X_319))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_319,join(X_319,meet(zero,complement(X_319)))) ),[0],$fot(join(X_319,meet(complement(X_319),zero)))]]) ).
cnf(refute_0_2302,plain,
( X_319 != join(X_319,meet(complement(X_319),zero))
| X_319 = join(X_319,meet(zero,complement(X_319))) ),
inference(resolve,[$cnf( $equal(join(X_319,meet(complement(X_319),zero)),join(X_319,meet(zero,complement(X_319)))) )],[refute_0_2300,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( join(X_319,zero) != join(X_319,meet(complement(X_319),zero))
| X_319 = join(X_319,meet(zero,complement(X_319))) ),
inference(resolve,[$cnf( $equal(X_319,join(X_319,meet(complement(X_319),zero))) )],[refute_0_2295,refute_0_2302]) ).
cnf(refute_0_2304,plain,
X_319 = join(X_319,meet(zero,complement(X_319))),
inference(resolve,[$cnf( $equal(join(X_319,zero),join(X_319,meet(complement(X_319),zero))) )],[refute_0_2292,refute_0_2303]) ).
cnf(refute_0_2305,plain,
X_50 = join(X_50,meet(zero,complement(X_50))),
inference(subst,[],[refute_0_2304:[bind(X_319,$fot(X_50))]]) ).
cnf(refute_0_2306,plain,
( X_50 != join(X_50,meet(zero,complement(X_50)))
| join(X_50,meet(zero,complement(X_50))) = X_50 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_50)),bind(Y,$fot(join(X_50,meet(zero,complement(X_50)))))]]) ).
cnf(refute_0_2307,plain,
join(X_50,meet(zero,complement(X_50))) = X_50,
inference(resolve,[$cnf( $equal(X_50,join(X_50,meet(zero,complement(X_50)))) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
( join(X_50,meet(zero,complement(X_50))) != X_50
| zero != meet(zero,join(X_50,meet(zero,complement(X_50))))
| zero = meet(zero,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(zero,join(X_50,meet(zero,complement(X_50))))) ),[1,1],$fot(X_50)]]) ).
cnf(refute_0_2309,plain,
( zero != meet(zero,join(X_50,meet(zero,complement(X_50))))
| zero = meet(zero,X_50) ),
inference(resolve,[$cnf( $equal(join(X_50,meet(zero,complement(X_50))),X_50) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
zero = meet(zero,X_50),
inference(resolve,[$cnf( $equal(zero,meet(zero,join(X_50,meet(zero,complement(X_50))))) )],[refute_0_2278,refute_0_2309]) ).
cnf(refute_0_2311,plain,
zero = meet(zero,complement(X_88)),
inference(subst,[],[refute_0_2310:[bind(X_50,$fot(complement(X_88)))]]) ).
cnf(refute_0_2312,plain,
( zero != meet(zero,complement(X_88))
| meet(zero,complement(X_88)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(X_88))))]]) ).
cnf(refute_0_2313,plain,
meet(zero,complement(X_88)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(X_88))) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
( meet(zero,complement(X_88)) != zero
| zero != join(meet(X_88,zero),meet(zero,complement(X_88)))
| zero = join(meet(X_88,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_88,zero),meet(zero,complement(X_88)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2315,plain,
( zero != join(meet(X_88,zero),meet(zero,complement(X_88)))
| zero = join(meet(X_88,zero),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(X_88)),zero) )],[refute_0_2313,refute_0_2314]) ).
cnf(refute_0_2316,plain,
zero = join(meet(X_88,zero),zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_88,zero),meet(zero,complement(X_88)))) )],[refute_0_2243,refute_0_2315]) ).
cnf(refute_0_2317,plain,
join(zero,meet(X_88,zero)) = meet(X_88,zero),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_88,zero)))]]) ).
cnf(refute_0_2318,plain,
join(A,join(X_49,meet(zero,complement(X_49)))) = join(X_49,join(meet(zero,complement(X_49)),A)),
inference(subst,[],[refute_0_379:[bind(X_50,$fot(meet(zero,complement(X_49))))]]) ).
cnf(refute_0_2319,plain,
X_49 = join(X_49,meet(zero,complement(X_49))),
inference(subst,[],[refute_0_2304:[bind(X_319,$fot(X_49))]]) ).
cnf(refute_0_2320,plain,
( X_49 != join(X_49,meet(zero,complement(X_49)))
| join(X_49,meet(zero,complement(X_49))) = X_49 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_49)),bind(Y,$fot(join(X_49,meet(zero,complement(X_49)))))]]) ).
cnf(refute_0_2321,plain,
join(X_49,meet(zero,complement(X_49))) = X_49,
inference(resolve,[$cnf( $equal(X_49,join(X_49,meet(zero,complement(X_49)))) )],[refute_0_2319,refute_0_2320]) ).
cnf(refute_0_2322,plain,
( join(A,join(X_49,meet(zero,complement(X_49)))) != join(X_49,join(meet(zero,complement(X_49)),A))
| join(X_49,meet(zero,complement(X_49))) != X_49
| join(A,X_49) = join(X_49,join(meet(zero,complement(X_49)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_49,meet(zero,complement(X_49)))),join(X_49,join(meet(zero,complement(X_49)),A))) ),[0,1],$fot(X_49)]]) ).
cnf(refute_0_2323,plain,
( join(A,join(X_49,meet(zero,complement(X_49)))) != join(X_49,join(meet(zero,complement(X_49)),A))
| join(A,X_49) = join(X_49,join(meet(zero,complement(X_49)),A)) ),
inference(resolve,[$cnf( $equal(join(X_49,meet(zero,complement(X_49))),X_49) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
join(A,X_49) = join(X_49,join(meet(zero,complement(X_49)),A)),
inference(resolve,[$cnf( $equal(join(A,join(X_49,meet(zero,complement(X_49)))),join(X_49,join(meet(zero,complement(X_49)),A))) )],[refute_0_2318,refute_0_2323]) ).
cnf(refute_0_2325,plain,
( zero != meet(zero,X_50)
| meet(zero,X_50) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_50)))]]) ).
cnf(refute_0_2326,plain,
meet(zero,X_50) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_50)) )],[refute_0_2310,refute_0_2325]) ).
cnf(refute_0_2327,plain,
meet(zero,complement(X_49)) = zero,
inference(subst,[],[refute_0_2326:[bind(X_50,$fot(complement(X_49)))]]) ).
cnf(refute_0_2328,plain,
join(meet(zero,complement(X_49)),A) = join(meet(zero,complement(X_49)),A),
introduced(tautology,[refl,[$fot(join(meet(zero,complement(X_49)),A))]]) ).
cnf(refute_0_2329,plain,
( join(meet(zero,complement(X_49)),A) != join(meet(zero,complement(X_49)),A)
| meet(zero,complement(X_49)) != zero
| join(meet(zero,complement(X_49)),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,complement(X_49)),A),join(meet(zero,complement(X_49)),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2330,plain,
( meet(zero,complement(X_49)) != zero
| join(meet(zero,complement(X_49)),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(zero,complement(X_49)),A),join(meet(zero,complement(X_49)),A)) )],[refute_0_2328,refute_0_2329]) ).
cnf(refute_0_2331,plain,
join(meet(zero,complement(X_49)),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(zero,complement(X_49)),zero) )],[refute_0_2327,refute_0_2330]) ).
cnf(refute_0_2332,plain,
( join(meet(zero,complement(X_49)),A) != join(zero,A)
| join(zero,A) != A
| join(meet(zero,complement(X_49)),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(zero,complement(X_49)),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_2333,plain,
( join(zero,A) != A
| join(meet(zero,complement(X_49)),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(zero,complement(X_49)),A),join(zero,A)) )],[refute_0_2331,refute_0_2332]) ).
cnf(refute_0_2334,plain,
join(meet(zero,complement(X_49)),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1796,refute_0_2333]) ).
cnf(refute_0_2335,plain,
join(X_49,join(meet(zero,complement(X_49)),A)) = join(X_49,join(meet(zero,complement(X_49)),A)),
introduced(tautology,[refl,[$fot(join(X_49,join(meet(zero,complement(X_49)),A)))]]) ).
cnf(refute_0_2336,plain,
( join(X_49,join(meet(zero,complement(X_49)),A)) != join(X_49,join(meet(zero,complement(X_49)),A))
| join(meet(zero,complement(X_49)),A) != A
| join(X_49,join(meet(zero,complement(X_49)),A)) = join(X_49,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(meet(zero,complement(X_49)),A)),join(X_49,join(meet(zero,complement(X_49)),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_2337,plain,
( join(meet(zero,complement(X_49)),A) != A
| join(X_49,join(meet(zero,complement(X_49)),A)) = join(X_49,A) ),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(zero,complement(X_49)),A)),join(X_49,join(meet(zero,complement(X_49)),A))) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
join(X_49,join(meet(zero,complement(X_49)),A)) = join(X_49,A),
inference(resolve,[$cnf( $equal(join(meet(zero,complement(X_49)),A),A) )],[refute_0_2334,refute_0_2337]) ).
cnf(refute_0_2339,plain,
( join(A,X_49) != join(X_49,join(meet(zero,complement(X_49)),A))
| join(X_49,join(meet(zero,complement(X_49)),A)) != join(X_49,A)
| join(A,X_49) = join(X_49,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,X_49),join(X_49,A)) ),[0],$fot(join(X_49,join(meet(zero,complement(X_49)),A)))]]) ).
cnf(refute_0_2340,plain,
( join(A,X_49) != join(X_49,join(meet(zero,complement(X_49)),A))
| join(A,X_49) = join(X_49,A) ),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(zero,complement(X_49)),A)),join(X_49,A)) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
join(A,X_49) = join(X_49,A),
inference(resolve,[$cnf( $equal(join(A,X_49),join(X_49,join(meet(zero,complement(X_49)),A))) )],[refute_0_2324,refute_0_2340]) ).
cnf(refute_0_2342,plain,
( join(A,X_49) != join(X_49,A)
| join(X_49,A) = join(A,X_49) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,X_49))),bind(Y,$fot(join(X_49,A)))]]) ).
cnf(refute_0_2343,plain,
join(X_49,A) = join(A,X_49),
inference(resolve,[$cnf( $equal(join(A,X_49),join(X_49,A)) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
join(meet(X_88,zero),zero) = join(zero,meet(X_88,zero)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(meet(X_88,zero)))]]) ).
cnf(refute_0_2345,plain,
( join(meet(X_88,zero),zero) != join(zero,meet(X_88,zero))
| join(zero,meet(X_88,zero)) != meet(X_88,zero)
| join(meet(X_88,zero),zero) = meet(X_88,zero) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_88,zero),zero))),bind(Y,$fot(join(zero,meet(X_88,zero)))),bind(Z,$fot(meet(X_88,zero)))]]) ).
cnf(refute_0_2346,plain,
( join(zero,meet(X_88,zero)) != meet(X_88,zero)
| join(meet(X_88,zero),zero) = meet(X_88,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_88,zero),zero),join(zero,meet(X_88,zero))) )],[refute_0_2344,refute_0_2345]) ).
cnf(refute_0_2347,plain,
join(meet(X_88,zero),zero) = meet(X_88,zero),
inference(resolve,[$cnf( $equal(join(zero,meet(X_88,zero)),meet(X_88,zero)) )],[refute_0_2317,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( join(meet(X_88,zero),zero) != meet(X_88,zero)
| zero != join(meet(X_88,zero),zero)
| zero = meet(X_88,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_88,zero),zero)) ),[1],$fot(meet(X_88,zero))]]) ).
cnf(refute_0_2349,plain,
( zero != join(meet(X_88,zero),zero)
| zero = meet(X_88,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_88,zero),zero),meet(X_88,zero)) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
zero = meet(X_88,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_88,zero),zero)) )],[refute_0_2316,refute_0_2349]) ).
cnf(refute_0_2351,plain,
( zero != meet(X_88,zero)
| meet(X_88,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_88,zero)))]]) ).
cnf(refute_0_2352,plain,
meet(X_88,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_88,zero)) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
meet(X_50,zero) = zero,
inference(subst,[],[refute_0_2352:[bind(X_88,$fot(X_50))]]) ).
cnf(refute_0_2354,plain,
join(meet(X_50,zero),X_320) = join(meet(X_50,zero),X_320),
introduced(tautology,[refl,[$fot(join(meet(X_50,zero),X_320))]]) ).
cnf(refute_0_2355,plain,
( join(meet(X_50,zero),X_320) != join(meet(X_50,zero),X_320)
| meet(X_50,zero) != zero
| join(meet(X_50,zero),X_320) = join(zero,X_320) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_50,zero),X_320),join(meet(X_50,zero),X_320)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2356,plain,
( meet(X_50,zero) != zero
| join(meet(X_50,zero),X_320) = join(zero,X_320) ),
inference(resolve,[$cnf( $equal(join(meet(X_50,zero),X_320),join(meet(X_50,zero),X_320)) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
join(meet(X_50,zero),X_320) = join(zero,X_320),
inference(resolve,[$cnf( $equal(meet(X_50,zero),zero) )],[refute_0_2353,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( join(meet(X_50,zero),X_320) != join(zero,X_320)
| join(zero,X_320) != X_320
| join(meet(X_50,zero),X_320) = X_320 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_50,zero),X_320))),bind(Y,$fot(join(zero,X_320))),bind(Z,$fot(X_320))]]) ).
cnf(refute_0_2359,plain,
( join(zero,X_320) != X_320
| join(meet(X_50,zero),X_320) = X_320 ),
inference(resolve,[$cnf( $equal(join(meet(X_50,zero),X_320),join(zero,X_320)) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
join(meet(X_50,zero),X_320) = X_320,
inference(resolve,[$cnf( $equal(join(zero,X_320),X_320) )],[refute_0_2204,refute_0_2359]) ).
cnf(refute_0_2361,plain,
join(X_49,join(meet(X_50,zero),X_320)) = join(X_49,join(meet(X_50,zero),X_320)),
introduced(tautology,[refl,[$fot(join(X_49,join(meet(X_50,zero),X_320)))]]) ).
cnf(refute_0_2362,plain,
( join(X_49,join(meet(X_50,zero),X_320)) != join(X_49,join(meet(X_50,zero),X_320))
| join(meet(X_50,zero),X_320) != X_320
| join(X_49,join(meet(X_50,zero),X_320)) = join(X_49,X_320) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(meet(X_50,zero),X_320)),join(X_49,join(meet(X_50,zero),X_320))) ),[1,1],$fot(X_320)]]) ).
cnf(refute_0_2363,plain,
( join(meet(X_50,zero),X_320) != X_320
| join(X_49,join(meet(X_50,zero),X_320)) = join(X_49,X_320) ),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(X_50,zero),X_320)),join(X_49,join(meet(X_50,zero),X_320))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
join(X_49,join(meet(X_50,zero),X_320)) = join(X_49,X_320),
inference(resolve,[$cnf( $equal(join(meet(X_50,zero),X_320),X_320) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_50,join(X_49,join(meet(X_50,zero),X_320))),
introduced(tautology,[refl,[$fot(join(X_50,join(X_49,join(meet(X_50,zero),X_320))))]]) ).
cnf(refute_0_2366,plain,
( join(X_49,join(meet(X_50,zero),X_320)) != join(X_49,X_320)
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) != join(X_50,join(X_49,join(meet(X_50,zero),X_320)))
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_50,join(X_49,X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_49,join(meet(X_50,zero),X_320))),join(X_50,join(X_49,join(meet(X_50,zero),X_320)))) ),[1,1],$fot(join(X_49,X_320))]]) ).
cnf(refute_0_2367,plain,
( join(X_49,join(meet(X_50,zero),X_320)) != join(X_49,X_320)
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_50,join(X_49,X_320)) ),
inference(resolve,[$cnf( $equal(join(X_50,join(X_49,join(meet(X_50,zero),X_320))),join(X_50,join(X_49,join(meet(X_50,zero),X_320)))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
join(X_50,join(X_49,join(meet(X_50,zero),X_320))) = join(X_50,join(X_49,X_320)),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(X_50,zero),X_320)),join(X_49,X_320)) )],[refute_0_2364,refute_0_2367]) ).
cnf(refute_0_2369,plain,
( join(X_50,join(X_49,join(meet(X_50,zero),X_320))) != join(X_49,join(X_50,X_320))
| join(X_50,join(X_49,join(meet(X_50,zero),X_320))) != join(X_50,join(X_49,X_320))
| join(X_50,join(X_49,X_320)) = join(X_49,join(X_50,X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_49,join(meet(X_50,zero),X_320))),join(X_49,join(X_50,X_320))) ),[0],$fot(join(X_50,join(X_49,X_320)))]]) ).
cnf(refute_0_2370,plain,
( join(X_50,join(X_49,join(meet(X_50,zero),X_320))) != join(X_49,join(X_50,X_320))
| join(X_50,join(X_49,X_320)) = join(X_49,join(X_50,X_320)) ),
inference(resolve,[$cnf( $equal(join(X_50,join(X_49,join(meet(X_50,zero),X_320))),join(X_50,join(X_49,X_320))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
join(X_50,join(X_49,X_320)) = join(X_49,join(X_50,X_320)),
inference(resolve,[$cnf( $equal(join(X_50,join(X_49,join(meet(X_50,zero),X_320))),join(X_49,join(X_50,X_320))) )],[refute_0_2203,refute_0_2370]) ).
cnf(refute_0_2372,plain,
( join(X_50,join(X_49,X_320)) != join(X_49,join(X_50,X_320))
| join(X_49,join(X_50,X_320)) = join(X_50,join(X_49,X_320)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_50,join(X_49,X_320)))),bind(Y,$fot(join(X_49,join(X_50,X_320))))]]) ).
cnf(refute_0_2373,plain,
join(X_49,join(X_50,X_320)) = join(X_50,join(X_49,X_320)),
inference(resolve,[$cnf( $equal(join(X_50,join(X_49,X_320)),join(X_49,join(X_50,X_320))) )],[refute_0_2371,refute_0_2372]) ).
cnf(refute_0_2374,plain,
join(converse(sk1),join(complement(one),meet(one,complement(sk1)))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_2373:[bind(X_320,$fot(meet(one,complement(sk1)))),bind(X_49,$fot(converse(sk1))),bind(X_50,$fot(complement(one)))]]) ).
cnf(refute_0_2375,plain,
join(meet(one,complement(sk1)),complement(one)) = join(complement(one),meet(one,complement(sk1))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(complement(one))),bind(X_49,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2376,plain,
complement(converse(join(one,complement(converse(top))))) = complement(converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2377,plain,
( complement(converse(join(one,complement(converse(top))))) != complement(converse(join(one,complement(converse(top)))))
| converse(join(one,complement(converse(top)))) != one
| complement(converse(join(one,complement(converse(top))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,complement(converse(top))))),complement(converse(join(one,complement(converse(top)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2378,plain,
( converse(join(one,complement(converse(top)))) != one
| complement(converse(join(one,complement(converse(top))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(top))))),complement(converse(join(one,complement(converse(top)))))) )],[refute_0_2376,refute_0_2377]) ).
cnf(refute_0_2379,plain,
complement(converse(join(one,complement(converse(top))))) = complement(one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_2378]) ).
cnf(refute_0_2380,plain,
join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))]]) ).
cnf(refute_0_2381,plain,
( complement(converse(join(one,complement(converse(top))))) != complement(one)
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) != join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(meet(one,complement(sk1)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2382,plain,
( complement(converse(join(one,complement(converse(top))))) != complement(one)
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(meet(one,complement(sk1)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) )],[refute_0_2380,refute_0_2381]) ).
cnf(refute_0_2383,plain,
join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(meet(one,complement(sk1)),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(top))))),complement(one)) )],[refute_0_2379,refute_0_2382]) ).
cnf(refute_0_2384,plain,
( join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) != join(meet(one,complement(sk1)),complement(one))
| join(meet(one,complement(sk1)),complement(one)) != join(complement(one),meet(one,complement(sk1)))
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(meet(one,complement(sk1)),complement(one)))),bind(Z,$fot(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2385,plain,
( join(meet(one,complement(sk1)),complement(one)) != join(complement(one),meet(one,complement(sk1)))
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))),join(meet(one,complement(sk1)),complement(one))) )],[refute_0_2383,refute_0_2384]) ).
cnf(refute_0_2386,plain,
join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(one)),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2375,refute_0_2385]) ).
cnf(refute_0_2387,plain,
join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2388,plain,
( join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) != join(complement(one),meet(one,complement(sk1)))
| join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(converse(sk1),join(complement(one),meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))) ),[1,1],$fot(join(complement(one),meet(one,complement(sk1))))]]) ).
cnf(refute_0_2389,plain,
( join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))) != join(complement(one),meet(one,complement(sk1)))
| join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(converse(sk1),join(complement(one),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(converse(sk1),join(complement(one),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2386,refute_0_2389]) ).
cnf(refute_0_2391,plain,
( join(converse(sk1),join(complement(one),meet(one,complement(sk1)))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) != join(converse(sk1),join(complement(one),meet(one,complement(sk1))))
| join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))))),bind(Y,$fot(join(converse(sk1),join(complement(one),meet(one,complement(sk1)))))),bind(Z,$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2392,plain,
( join(converse(sk1),join(complement(one),meet(one,complement(sk1)))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),join(converse(sk1),join(complement(one),meet(one,complement(sk1))))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(one),meet(one,complement(sk1)))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2374,refute_0_2392]) ).
cnf(refute_0_2394,plain,
join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),
inference(subst,[],[refute_0_1742:[bind(X_49,$fot(converse(sk1))),bind(X_50,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_51,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2395,plain,
join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_2373:[bind(X_320,$fot(meet(one,complement(sk1)))),bind(X_49,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_50,$fot(converse(sk1)))]]) ).
cnf(refute_0_2396,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1))))
| join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))))),bind(Y,$fot(join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))))),bind(Z,$fot(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_2397,plain,
( join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))),join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1))))) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(converse(join(one,complement(converse(top))))),meet(one,complement(sk1)))),join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2394,refute_0_2397]) ).
cnf(refute_0_2399,plain,
join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_49,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2400,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))))),bind(Z,$fot(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_2401,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2399,refute_0_2400]) ).
cnf(refute_0_2402,plain,
join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(converse(top))))),join(converse(sk1),meet(one,complement(sk1)))),join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2398,refute_0_2401]) ).
cnf(refute_0_2403,plain,
( join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))))),bind(Z,$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2404,plain,
( join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2402,refute_0_2403]) ).
cnf(refute_0_2405,plain,
join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(sk1)),complement(converse(join(one,complement(converse(top))))))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2393,refute_0_2404]) ).
cnf(refute_0_2406,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2407,plain,
( join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) ),[1,1],$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2408,plain,
( join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2406,refute_0_2407]) ).
cnf(refute_0_2409,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2405,refute_0_2408]) ).
cnf(refute_0_2410,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))) ),[0],$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2411,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
join(converse(sk1),meet(one,complement(sk1))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(converse(sk1),meet(one,complement(sk1))),join(join(converse(sk1),meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_2178,refute_0_2411]) ).
cnf(refute_0_2413,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(join(complement(sk1),converse(sk1)))),bind(X_27,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2414,plain,
join(converse(sk1),complement(sk1)) = join(complement(sk1),converse(sk1)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(complement(sk1))),bind(X_49,$fot(converse(sk1)))]]) ).
cnf(refute_0_2415,plain,
join(complement(one),join(X_50,meet(one,complement(sk1)))) = join(X_50,join(complement(one),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_409:[bind(X_49,$fot(complement(one))),bind(X_51,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2416,plain,
complement(sk1) = join(meet(complement(one),complement(sk1)),meet(complement(complement(one)),complement(sk1))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(complement(one))),bind(X_99,$fot(complement(sk1)))]]) ).
cnf(refute_0_2417,plain,
complement(one) = meet(complement(one),join(complement(sk1),meet(sk1,complement(one)))),
inference(subst,[],[refute_0_238:[bind(X_107,$fot(sk1)),bind(X_108,$fot(complement(one)))]]) ).
cnf(refute_0_2418,plain,
complement(B) = meet(complement(B),converse(join(one,complement(converse(join(one,complement(complement(B)))))))),
inference(subst,[],[refute_0_1056:[bind(X_87,$fot(complement(B)))]]) ).
cnf(refute_0_2419,plain,
( complement(B) != meet(complement(B),converse(join(one,complement(converse(join(one,complement(complement(B))))))))
| complement(complement(B)) != B
| complement(B) = meet(complement(B),converse(join(one,complement(converse(join(one,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(B),meet(complement(B),converse(join(one,complement(converse(join(one,complement(complement(B))))))))) ),[1,1,0,1,0,0,1],$fot(B)]]) ).
cnf(refute_0_2420,plain,
( complement(B) != meet(complement(B),converse(join(one,complement(converse(join(one,complement(complement(B))))))))
| complement(B) = meet(complement(B),converse(join(one,complement(converse(join(one,B)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_2419]) ).
cnf(refute_0_2421,plain,
complement(B) = meet(complement(B),converse(join(one,complement(converse(join(one,B)))))),
inference(resolve,[$cnf( $equal(complement(B),meet(complement(B),converse(join(one,complement(converse(join(one,complement(complement(B))))))))) )],[refute_0_2418,refute_0_2420]) ).
cnf(refute_0_2422,plain,
complement(join(one,X_177)) = meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(one,join(one,X_177))))))),
inference(subst,[],[refute_0_2421:[bind(B,$fot(join(one,X_177)))]]) ).
cnf(refute_0_2423,plain,
converse(join(X_47,converse(join(one,one)))) = join(converse(X_47),join(one,one)),
inference(subst,[],[refute_0_345:[bind(A,$fot(join(one,one))),bind(X_4,$fot(X_47))]]) ).
cnf(refute_0_2424,plain,
( converse(join(X_47,converse(join(one,one)))) != join(converse(X_47),join(one,one))
| converse(join(one,one)) != join(one,one)
| converse(join(X_47,join(one,one))) = join(converse(X_47),join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_47,converse(join(one,one)))),join(converse(X_47),join(one,one))) ),[0,0,1],$fot(join(one,one))]]) ).
cnf(refute_0_2425,plain,
( converse(join(X_47,converse(join(one,one)))) != join(converse(X_47),join(one,one))
| converse(join(X_47,join(one,one))) = join(converse(X_47),join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_2424]) ).
cnf(refute_0_2426,plain,
converse(join(X_47,join(one,one))) = join(converse(X_47),join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(X_47,converse(join(one,one)))),join(converse(X_47),join(one,one))) )],[refute_0_2423,refute_0_2425]) ).
cnf(refute_0_2427,plain,
join(one,converse(join(one,X_47))) = converse(join(one,join(one,X_47))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,X_47)))]]) ).
cnf(refute_0_2428,plain,
join(one,converse(X_47)) = converse(join(one,X_47)),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(X_47))]]) ).
cnf(refute_0_2429,plain,
join(one,join(one,converse(X_47))) = join(one,join(one,converse(X_47))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(X_47))))]]) ).
cnf(refute_0_2430,plain,
( join(one,converse(X_47)) != converse(join(one,X_47))
| join(one,join(one,converse(X_47))) != join(one,join(one,converse(X_47)))
| join(one,join(one,converse(X_47))) = join(one,converse(join(one,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(X_47))),join(one,join(one,converse(X_47)))) ),[1,1],$fot(converse(join(one,X_47)))]]) ).
cnf(refute_0_2431,plain,
( join(one,converse(X_47)) != converse(join(one,X_47))
| join(one,join(one,converse(X_47))) = join(one,converse(join(one,X_47))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_47))),join(one,join(one,converse(X_47)))) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
join(one,join(one,converse(X_47))) = join(one,converse(join(one,X_47))),
inference(resolve,[$cnf( $equal(join(one,converse(X_47)),converse(join(one,X_47))) )],[refute_0_2428,refute_0_2431]) ).
cnf(refute_0_2433,plain,
( join(one,converse(join(one,X_47))) != converse(join(one,join(one,X_47)))
| join(one,join(one,converse(X_47))) != join(one,converse(join(one,X_47)))
| join(one,join(one,converse(X_47))) = converse(join(one,join(one,X_47))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(one,converse(X_47))))),bind(Y,$fot(join(one,converse(join(one,X_47))))),bind(Z,$fot(converse(join(one,join(one,X_47)))))]]) ).
cnf(refute_0_2434,plain,
( join(one,converse(join(one,X_47))) != converse(join(one,join(one,X_47)))
| join(one,join(one,converse(X_47))) = converse(join(one,join(one,X_47))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_47))),join(one,converse(join(one,X_47)))) )],[refute_0_2432,refute_0_2433]) ).
cnf(refute_0_2435,plain,
join(one,join(one,converse(X_47))) = converse(join(one,join(one,X_47))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,X_47))),converse(join(one,join(one,X_47)))) )],[refute_0_2427,refute_0_2434]) ).
cnf(refute_0_2436,plain,
converse(join(converse(A),join(one,one))) = join(A,converse(join(one,one))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(join(one,one)))]]) ).
cnf(refute_0_2437,plain,
( converse(join(converse(A),join(one,one))) != join(A,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(converse(A),join(one,one))) = join(A,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,one))),join(A,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_2438,plain,
( converse(join(converse(A),join(one,one))) != join(A,converse(join(one,one)))
| converse(join(converse(A),join(one,one))) = join(A,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_2437]) ).
cnf(refute_0_2439,plain,
converse(join(converse(A),join(one,one))) = join(A,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,one))),join(A,converse(join(one,one)))) )],[refute_0_2436,refute_0_2438]) ).
cnf(refute_0_2440,plain,
converse(converse(join(one,join(one,A)))) = join(one,join(one,A)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,join(one,A))))]]) ).
cnf(refute_0_2441,plain,
join(one,converse(join(one,A))) = converse(join(one,join(one,A))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(one,A)))]]) ).
cnf(refute_0_2442,plain,
join(one,join(one,converse(A))) = join(one,join(one,converse(A))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(A))))]]) ).
cnf(refute_0_2443,plain,
( join(one,converse(A)) != converse(join(one,A))
| join(one,join(one,converse(A))) != join(one,join(one,converse(A)))
| join(one,join(one,converse(A))) = join(one,converse(join(one,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(A))),join(one,join(one,converse(A)))) ),[1,1],$fot(converse(join(one,A)))]]) ).
cnf(refute_0_2444,plain,
( join(one,converse(A)) != converse(join(one,A))
| join(one,join(one,converse(A))) = join(one,converse(join(one,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(A))),join(one,join(one,converse(A)))) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
join(one,join(one,converse(A))) = join(one,converse(join(one,A))),
inference(resolve,[$cnf( $equal(join(one,converse(A)),converse(join(one,A))) )],[refute_0_2080,refute_0_2444]) ).
cnf(refute_0_2446,plain,
( join(one,converse(join(one,A))) != converse(join(one,join(one,A)))
| join(one,join(one,converse(A))) != join(one,converse(join(one,A)))
| join(one,join(one,converse(A))) = converse(join(one,join(one,A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(one,join(one,converse(A))))),bind(Y,$fot(join(one,converse(join(one,A))))),bind(Z,$fot(converse(join(one,join(one,A)))))]]) ).
cnf(refute_0_2447,plain,
( join(one,converse(join(one,A))) != converse(join(one,join(one,A)))
| join(one,join(one,converse(A))) = converse(join(one,join(one,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(A))),join(one,converse(join(one,A)))) )],[refute_0_2445,refute_0_2446]) ).
cnf(refute_0_2448,plain,
join(one,join(one,converse(A))) = converse(join(one,join(one,A))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,A))),converse(join(one,join(one,A)))) )],[refute_0_2441,refute_0_2447]) ).
cnf(refute_0_2449,plain,
converse(join(one,join(one,converse(A)))) = converse(join(one,join(one,converse(A)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,converse(A)))))]]) ).
cnf(refute_0_2450,plain,
( converse(join(one,join(one,converse(A)))) != converse(join(one,join(one,converse(A))))
| join(one,join(one,converse(A))) != converse(join(one,join(one,A)))
| converse(join(one,join(one,converse(A)))) = converse(converse(join(one,join(one,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,converse(A)))),converse(join(one,join(one,converse(A))))) ),[1,0],$fot(converse(join(one,join(one,A))))]]) ).
cnf(refute_0_2451,plain,
( join(one,join(one,converse(A))) != converse(join(one,join(one,A)))
| converse(join(one,join(one,converse(A)))) = converse(converse(join(one,join(one,A)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(A)))),converse(join(one,join(one,converse(A))))) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
converse(join(one,join(one,converse(A)))) = converse(converse(join(one,join(one,A)))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(A))),converse(join(one,join(one,A)))) )],[refute_0_2448,refute_0_2451]) ).
cnf(refute_0_2453,plain,
( converse(converse(join(one,join(one,A)))) != join(one,join(one,A))
| converse(join(one,join(one,converse(A)))) != converse(converse(join(one,join(one,A))))
| converse(join(one,join(one,converse(A)))) = join(one,join(one,A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,join(one,converse(A)))))),bind(Y,$fot(converse(converse(join(one,join(one,A)))))),bind(Z,$fot(join(one,join(one,A))))]]) ).
cnf(refute_0_2454,plain,
( converse(converse(join(one,join(one,A)))) != join(one,join(one,A))
| converse(join(one,join(one,converse(A)))) = join(one,join(one,A)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(A)))),converse(converse(join(one,join(one,A))))) )],[refute_0_2452,refute_0_2453]) ).
cnf(refute_0_2455,plain,
converse(join(one,join(one,converse(A)))) = join(one,join(one,A)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(one,A)))),join(one,join(one,A))) )],[refute_0_2440,refute_0_2454]) ).
cnf(refute_0_2456,plain,
converse(join(one,join(B,A))) = join(one,converse(join(B,A))),
inference(subst,[],[refute_0_449:[bind(X_5,$fot(join(B,A)))]]) ).
cnf(refute_0_2457,plain,
( converse(join(B,A)) != converse(join(A,B))
| converse(join(one,join(B,A))) != join(one,converse(join(B,A)))
| converse(join(one,join(B,A))) = join(one,converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(B,A))),join(one,converse(join(B,A)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_2458,plain,
( converse(join(one,join(B,A))) != join(one,converse(join(B,A)))
| converse(join(one,join(B,A))) = join(one,converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_310,refute_0_2457]) ).
cnf(refute_0_2459,plain,
converse(join(one,join(B,A))) = join(one,converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(join(one,join(B,A))),join(one,converse(join(B,A)))) )],[refute_0_2456,refute_0_2458]) ).
cnf(refute_0_2460,plain,
join(one,converse(join(A,B))) = converse(join(one,join(A,B))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(join(A,B)))]]) ).
cnf(refute_0_2461,plain,
( converse(join(one,join(B,A))) != join(one,converse(join(A,B)))
| join(one,converse(join(A,B))) != converse(join(one,join(A,B)))
| converse(join(one,join(B,A))) = converse(join(one,join(A,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(B,A))),converse(join(one,join(A,B)))) ),[0],$fot(join(one,converse(join(A,B))))]]) ).
cnf(refute_0_2462,plain,
( converse(join(one,join(B,A))) != join(one,converse(join(A,B)))
| converse(join(one,join(B,A))) = converse(join(one,join(A,B))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(A,B))),converse(join(one,join(A,B)))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
converse(join(one,join(B,A))) = converse(join(one,join(A,B))),
inference(resolve,[$cnf( $equal(converse(join(one,join(B,A))),join(one,converse(join(A,B)))) )],[refute_0_2459,refute_0_2462]) ).
cnf(refute_0_2464,plain,
( converse(join(one,join(B,A))) != converse(join(one,join(A,B)))
| converse(join(one,join(A,B))) = converse(join(one,join(B,A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,join(B,A))))),bind(Y,$fot(converse(join(one,join(A,B)))))]]) ).
cnf(refute_0_2465,plain,
converse(join(one,join(A,B))) = converse(join(one,join(B,A))),
inference(resolve,[$cnf( $equal(converse(join(one,join(B,A))),converse(join(one,join(A,B)))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
converse(join(one,join(converse(A),one))) = converse(join(one,join(one,converse(A)))),
inference(subst,[],[refute_0_2465:[bind(A,$fot(converse(A))),bind(B,$fot(one))]]) ).
cnf(refute_0_2467,plain,
( converse(join(X_10,join(X_11,B))) != converse(join(X_11,join(X_10,B)))
| converse(join(X_11,join(X_10,B))) = converse(join(X_10,join(X_11,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_10,join(X_11,B))))),bind(Y,$fot(converse(join(X_11,join(X_10,B)))))]]) ).
cnf(refute_0_2468,plain,
converse(join(X_11,join(X_10,B))) = converse(join(X_10,join(X_11,B))),
inference(resolve,[$cnf( $equal(converse(join(X_10,join(X_11,B))),converse(join(X_11,join(X_10,B)))) )],[refute_0_599,refute_0_2467]) ).
cnf(refute_0_2469,plain,
converse(join(converse(A),join(one,one))) = converse(join(one,join(converse(A),one))),
inference(subst,[],[refute_0_2468:[bind(B,$fot(one)),bind(X_10,$fot(one)),bind(X_11,$fot(converse(A)))]]) ).
cnf(refute_0_2470,plain,
( converse(join(converse(A),join(one,one))) != converse(join(one,join(converse(A),one)))
| converse(join(one,join(converse(A),one))) != converse(join(one,join(one,converse(A))))
| converse(join(converse(A),join(one,one))) = converse(join(one,join(one,converse(A)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),join(one,one))))),bind(Y,$fot(converse(join(one,join(converse(A),one))))),bind(Z,$fot(converse(join(one,join(one,converse(A))))))]]) ).
cnf(refute_0_2471,plain,
( converse(join(one,join(converse(A),one))) != converse(join(one,join(one,converse(A))))
| converse(join(converse(A),join(one,one))) = converse(join(one,join(one,converse(A)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,one))),converse(join(one,join(converse(A),one)))) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
converse(join(converse(A),join(one,one))) = converse(join(one,join(one,converse(A)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),one))),converse(join(one,join(one,converse(A))))) )],[refute_0_2466,refute_0_2471]) ).
cnf(refute_0_2473,plain,
( converse(join(converse(A),join(one,one))) != converse(join(one,join(one,converse(A))))
| converse(join(one,join(one,converse(A)))) != join(one,join(one,A))
| converse(join(converse(A),join(one,one))) = join(one,join(one,A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),join(one,one))))),bind(Y,$fot(converse(join(one,join(one,converse(A)))))),bind(Z,$fot(join(one,join(one,A))))]]) ).
cnf(refute_0_2474,plain,
( converse(join(one,join(one,converse(A)))) != join(one,join(one,A))
| converse(join(converse(A),join(one,one))) = join(one,join(one,A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,one))),converse(join(one,join(one,converse(A))))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
converse(join(converse(A),join(one,one))) = join(one,join(one,A)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(A)))),join(one,join(one,A))) )],[refute_0_2455,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( converse(join(converse(A),join(one,one))) != join(A,join(one,one))
| converse(join(converse(A),join(one,one))) != join(one,join(one,A))
| join(one,join(one,A)) = join(A,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,one))),join(A,join(one,one))) ),[0],$fot(join(one,join(one,A)))]]) ).
cnf(refute_0_2477,plain,
( converse(join(converse(A),join(one,one))) != join(A,join(one,one))
| join(one,join(one,A)) = join(A,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,one))),join(one,join(one,A))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
join(one,join(one,A)) = join(A,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,one))),join(A,join(one,one))) )],[refute_0_2439,refute_0_2477]) ).
cnf(refute_0_2479,plain,
( join(one,join(one,A)) != join(A,join(one,one))
| join(A,join(one,one)) = join(one,join(one,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(one,A)))),bind(Y,$fot(join(A,join(one,one))))]]) ).
cnf(refute_0_2480,plain,
join(A,join(one,one)) = join(one,join(one,A)),
inference(resolve,[$cnf( $equal(join(one,join(one,A)),join(A,join(one,one))) )],[refute_0_2478,refute_0_2479]) ).
cnf(refute_0_2481,plain,
join(converse(X_47),join(one,one)) = join(one,join(one,converse(X_47))),
inference(subst,[],[refute_0_2480:[bind(A,$fot(converse(X_47)))]]) ).
cnf(refute_0_2482,plain,
( join(converse(X_47),join(one,one)) != join(one,join(one,converse(X_47)))
| join(one,join(one,converse(X_47))) != converse(join(one,join(one,X_47)))
| join(converse(X_47),join(one,one)) = converse(join(one,join(one,X_47))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(X_47),join(one,one)))),bind(Y,$fot(join(one,join(one,converse(X_47))))),bind(Z,$fot(converse(join(one,join(one,X_47)))))]]) ).
cnf(refute_0_2483,plain,
( join(one,join(one,converse(X_47))) != converse(join(one,join(one,X_47)))
| join(converse(X_47),join(one,one)) = converse(join(one,join(one,X_47))) ),
inference(resolve,[$cnf( $equal(join(converse(X_47),join(one,one)),join(one,join(one,converse(X_47)))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
join(converse(X_47),join(one,one)) = converse(join(one,join(one,X_47))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_47))),converse(join(one,join(one,X_47)))) )],[refute_0_2435,refute_0_2483]) ).
cnf(refute_0_2485,plain,
( converse(join(X_47,join(one,one))) != join(converse(X_47),join(one,one))
| join(converse(X_47),join(one,one)) != converse(join(one,join(one,X_47)))
| converse(join(X_47,join(one,one))) = converse(join(one,join(one,X_47))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_47,join(one,one))),converse(join(one,join(one,X_47)))) ),[0],$fot(join(converse(X_47),join(one,one)))]]) ).
cnf(refute_0_2486,plain,
( converse(join(X_47,join(one,one))) != join(converse(X_47),join(one,one))
| converse(join(X_47,join(one,one))) = converse(join(one,join(one,X_47))) ),
inference(resolve,[$cnf( $equal(join(converse(X_47),join(one,one)),converse(join(one,join(one,X_47)))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
converse(join(X_47,join(one,one))) = converse(join(one,join(one,X_47))),
inference(resolve,[$cnf( $equal(converse(join(X_47,join(one,one))),join(converse(X_47),join(one,one))) )],[refute_0_2426,refute_0_2486]) ).
cnf(refute_0_2488,plain,
converse(join(X_177,join(one,one))) = converse(join(one,join(one,X_177))),
inference(subst,[],[refute_0_2487:[bind(X_47,$fot(X_177))]]) ).
cnf(refute_0_2489,plain,
( converse(join(X_177,join(one,one))) != converse(join(one,join(one,X_177)))
| converse(join(one,join(one,X_177))) = converse(join(X_177,join(one,one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_177,join(one,one))))),bind(Y,$fot(converse(join(one,join(one,X_177)))))]]) ).
cnf(refute_0_2490,plain,
converse(join(one,join(one,X_177))) = converse(join(X_177,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(X_177,join(one,one))),converse(join(one,join(one,X_177)))) )],[refute_0_2488,refute_0_2489]) ).
cnf(refute_0_2491,plain,
( complement(join(one,X_177)) != meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(one,join(one,X_177)))))))
| converse(join(one,join(one,X_177))) != converse(join(X_177,join(one,one)))
| complement(join(one,X_177)) = meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,X_177)),meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(one,join(one,X_177)))))))) ),[1,1,0,1,0],$fot(converse(join(X_177,join(one,one))))]]) ).
cnf(refute_0_2492,plain,
( complement(join(one,X_177)) != meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(one,join(one,X_177)))))))
| complement(join(one,X_177)) = meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X_177))),converse(join(X_177,join(one,one)))) )],[refute_0_2490,refute_0_2491]) ).
cnf(refute_0_2493,plain,
complement(join(one,X_177)) = meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))),
inference(resolve,[$cnf( $equal(complement(join(one,X_177)),meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(one,join(one,X_177)))))))) )],[refute_0_2422,refute_0_2492]) ).
cnf(refute_0_2494,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(join(converse(sk1),meet(one,complement(converse(sk1)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2495,plain,
one = join(meet(one,converse(sk1)),meet(complement(converse(sk1)),one)),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(one)),bind(X_88,$fot(converse(sk1)))]]) ).
cnf(refute_0_2496,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_1056:[bind(X_87,$fot(converse(sk1)))]]) ).
cnf(refute_0_2497,plain,
converse(converse(join(one,complement(converse(sk1))))) = join(one,complement(converse(sk1))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2498,plain,
join(one,join(sk1,converse(complement(converse(sk1))))) = join(one,converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_2499,plain,
converse(top) = join(sk1,converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_307:[bind(X_12,$fot(sk1))]]) ).
cnf(refute_0_2500,plain,
( converse(top) != join(sk1,converse(complement(converse(sk1))))
| join(sk1,converse(complement(converse(sk1)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(sk1,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_2501,plain,
join(sk1,converse(complement(converse(sk1)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(sk1,converse(complement(converse(sk1))))) )],[refute_0_2499,refute_0_2500]) ).
cnf(refute_0_2502,plain,
( join(one,join(sk1,converse(complement(converse(sk1))))) != join(one,converse(complement(converse(sk1))))
| join(sk1,converse(complement(converse(sk1)))) != converse(top)
| join(one,converse(top)) = join(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(sk1))))),join(one,converse(complement(converse(sk1))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_2503,plain,
( join(one,join(sk1,converse(complement(converse(sk1))))) != join(one,converse(complement(converse(sk1))))
| join(one,converse(top)) = join(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(sk1)))),converse(top)) )],[refute_0_2501,refute_0_2502]) ).
cnf(refute_0_2504,plain,
join(one,converse(top)) = join(one,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(sk1))))),join(one,converse(complement(converse(sk1))))) )],[refute_0_2498,refute_0_2503]) ).
cnf(refute_0_2505,plain,
( join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) != join(one,converse(complement(converse(sk1))))
| converse(join(one,top)) = join(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(sk1))))) ),[0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_2506,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(sk1))))
| converse(join(one,top)) = join(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1546,refute_0_2505]) ).
cnf(refute_0_2507,plain,
join(one,converse(complement(converse(sk1)))) = converse(join(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_2508,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(sk1))))
| join(one,converse(complement(converse(sk1)))) != converse(join(one,complement(converse(sk1))))
| converse(join(one,top)) = converse(join(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,top)),converse(join(one,complement(converse(sk1))))) ),[0],$fot(join(one,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_2509,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(sk1))))
| converse(join(one,top)) = converse(join(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(sk1)))),converse(join(one,complement(converse(sk1))))) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(sk1))))
| converse(join(one,top)) = converse(join(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,converse(complement(converse(sk1))))) )],[refute_0_2506,refute_0_2509]) ).
cnf(refute_0_2511,plain,
converse(join(one,top)) = converse(join(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(sk1))))) )],[refute_0_2504,refute_0_2510]) ).
cnf(refute_0_2512,plain,
( converse(join(one,top)) != converse(join(one,complement(converse(sk1))))
| converse(join(one,complement(converse(sk1)))) = converse(join(one,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(join(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2513,plain,
converse(join(one,complement(converse(sk1)))) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,complement(converse(sk1))))) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( converse(converse(join(one,complement(converse(sk1))))) != join(one,complement(converse(sk1)))
| converse(join(one,complement(converse(sk1)))) != converse(join(one,top))
| converse(converse(join(one,top))) = join(one,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(sk1))))),join(one,complement(converse(sk1)))) ),[0,0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_2515,plain,
( converse(converse(join(one,complement(converse(sk1))))) != join(one,complement(converse(sk1)))
| converse(converse(join(one,top))) = join(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(sk1)))),converse(join(one,top))) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
converse(converse(join(one,top))) = join(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(sk1))))),join(one,complement(converse(sk1)))) )],[refute_0_2497,refute_0_2515]) ).
cnf(refute_0_2517,plain,
converse(converse(join(one,top))) = join(one,top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,top)))]]) ).
cnf(refute_0_2518,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(sk1)))
| converse(converse(join(one,top))) != join(one,top)
| join(one,top) = join(one,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(sk1)))) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_2519,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(sk1)))
| join(one,top) = join(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,top)) )],[refute_0_2517,refute_0_2518]) ).
cnf(refute_0_2520,plain,
join(one,top) = join(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(sk1)))) )],[refute_0_2516,refute_0_2519]) ).
cnf(refute_0_2521,plain,
( join(one,top) != join(one,complement(converse(sk1)))
| join(one,top) != top
| top = join(one,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(converse(sk1)))) ),[0],$fot(top)]]) ).
cnf(refute_0_2522,plain,
( join(one,top) != join(one,complement(converse(sk1)))
| top = join(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_2521]) ).
cnf(refute_0_2523,plain,
top = join(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(converse(sk1)))) )],[refute_0_2520,refute_0_2522]) ).
cnf(refute_0_2524,plain,
( top != join(one,complement(converse(sk1)))
| join(one,complement(converse(sk1))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2525,plain,
join(one,complement(converse(sk1))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(sk1)))) )],[refute_0_2523,refute_0_2524]) ).
cnf(refute_0_2526,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))
| join(one,complement(converse(sk1))) != top
| converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_2527,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))
| converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),top) )],[refute_0_2525,refute_0_2526]) ).
cnf(refute_0_2528,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))) )],[refute_0_2496,refute_0_2527]) ).
cnf(refute_0_2529,plain,
meet(converse(sk1),one) = meet(one,converse(sk1)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(converse(sk1)))]]) ).
cnf(refute_0_2530,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2531,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2532,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_2530,refute_0_2531]) ).
cnf(refute_0_2533,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_2532]) ).
cnf(refute_0_2534,plain,
( meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(converse(sk1),one)
| meet(converse(sk1),one) != meet(one,converse(sk1))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(sk1),one))),bind(Z,$fot(meet(one,converse(sk1))))]]) ).
cnf(refute_0_2535,plain,
( meet(converse(sk1),one) != meet(one,converse(sk1))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),one)) )],[refute_0_2533,refute_0_2534]) ).
cnf(refute_0_2536,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(sk1),one),meet(one,converse(sk1))) )],[refute_0_2529,refute_0_2535]) ).
cnf(refute_0_2537,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(one,converse(sk1))
| converse(sk1) = meet(one,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(one,converse(sk1))) ),[0],$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2538,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| converse(sk1) = meet(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(one,converse(sk1))) )],[refute_0_2536,refute_0_2537]) ).
cnf(refute_0_2539,plain,
converse(sk1) = meet(one,converse(sk1)),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_2528,refute_0_2538]) ).
cnf(refute_0_2540,plain,
( converse(sk1) != meet(one,converse(sk1))
| meet(one,converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(one,converse(sk1))))]]) ).
cnf(refute_0_2541,plain,
meet(one,converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(one,converse(sk1))) )],[refute_0_2539,refute_0_2540]) ).
cnf(refute_0_2542,plain,
( meet(one,converse(sk1)) != converse(sk1)
| one != join(meet(one,converse(sk1)),meet(complement(converse(sk1)),one))
| one = join(converse(sk1),meet(complement(converse(sk1)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(sk1)),meet(complement(converse(sk1)),one))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_2543,plain,
( one != join(meet(one,converse(sk1)),meet(complement(converse(sk1)),one))
| one = join(converse(sk1),meet(complement(converse(sk1)),one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(sk1)),converse(sk1)) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
one = join(converse(sk1),meet(complement(converse(sk1)),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(sk1)),meet(complement(converse(sk1)),one))) )],[refute_0_2495,refute_0_2543]) ).
cnf(refute_0_2545,plain,
meet(complement(converse(sk1)),one) = meet(one,complement(converse(sk1))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_2546,plain,
join(converse(sk1),meet(complement(converse(sk1)),one)) = join(converse(sk1),meet(complement(converse(sk1)),one)),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),one)))]]) ).
cnf(refute_0_2547,plain,
( join(converse(sk1),meet(complement(converse(sk1)),one)) != join(converse(sk1),meet(complement(converse(sk1)),one))
| meet(complement(converse(sk1)),one) != meet(one,complement(converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),one)) = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),one)),join(converse(sk1),meet(complement(converse(sk1)),one))) ),[1,1],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_2548,plain,
( meet(complement(converse(sk1)),one) != meet(one,complement(converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),one)) = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),one)),join(converse(sk1),meet(complement(converse(sk1)),one))) )],[refute_0_2546,refute_0_2547]) ).
cnf(refute_0_2549,plain,
join(converse(sk1),meet(complement(converse(sk1)),one)) = join(converse(sk1),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),one),meet(one,complement(converse(sk1)))) )],[refute_0_2545,refute_0_2548]) ).
cnf(refute_0_2550,plain,
( join(converse(sk1),meet(complement(converse(sk1)),one)) != join(converse(sk1),meet(one,complement(converse(sk1))))
| one != join(converse(sk1),meet(complement(converse(sk1)),one))
| one = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(sk1),meet(complement(converse(sk1)),one))) ),[1],$fot(join(converse(sk1),meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2551,plain,
( one != join(converse(sk1),meet(complement(converse(sk1)),one))
| one = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),one)),join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
one = join(converse(sk1),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(one,join(converse(sk1),meet(complement(converse(sk1)),one))) )],[refute_0_2544,refute_0_2551]) ).
cnf(refute_0_2553,plain,
( one != join(converse(sk1),meet(one,complement(converse(sk1))))
| join(converse(sk1),meet(one,complement(converse(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2554,plain,
join(converse(sk1),meet(one,complement(converse(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_2552,refute_0_2553]) ).
cnf(refute_0_2555,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) != join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)
| join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),C)),join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2556,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) != join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)
| join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),one) )],[refute_0_2554,refute_0_2555]) ).
cnf(refute_0_2557,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),C)),join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)) )],[refute_0_2494,refute_0_2556]) ).
cnf(refute_0_2558,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1))))) = join(one,meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_2557:[bind(C,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2559,plain,
converse(composition(join(one,one),converse(A))) = composition(A,converse(join(one,one))),
inference(subst,[],[refute_0_1630:[bind(X_8,$fot(join(one,one)))]]) ).
cnf(refute_0_2560,plain,
composition(join(one,one),X_300) = join(X_300,composition(one,X_300)),
inference(subst,[],[refute_0_1418:[bind(X_150,$fot(one)),bind(X_152,$fot(X_300))]]) ).
cnf(refute_0_2561,plain,
X_300 = composition(one,X_300),
inference(subst,[],[refute_0_113:[bind(X_15,$fot(X_300))]]) ).
cnf(refute_0_2562,plain,
( X_300 != composition(one,X_300)
| composition(one,X_300) = X_300 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_300)),bind(Y,$fot(composition(one,X_300)))]]) ).
cnf(refute_0_2563,plain,
composition(one,X_300) = X_300,
inference(resolve,[$cnf( $equal(X_300,composition(one,X_300)) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
( composition(join(one,one),X_300) != join(X_300,composition(one,X_300))
| composition(one,X_300) != X_300
| composition(join(one,one),X_300) = join(X_300,X_300) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_300),join(X_300,composition(one,X_300))) ),[1,1],$fot(X_300)]]) ).
cnf(refute_0_2565,plain,
( composition(join(one,one),X_300) != join(X_300,composition(one,X_300))
| composition(join(one,one),X_300) = join(X_300,X_300) ),
inference(resolve,[$cnf( $equal(composition(one,X_300),X_300) )],[refute_0_2563,refute_0_2564]) ).
cnf(refute_0_2566,plain,
composition(join(one,one),X_300) = join(X_300,X_300),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_300),join(X_300,composition(one,X_300))) )],[refute_0_2560,refute_0_2565]) ).
cnf(refute_0_2567,plain,
composition(join(one,one),converse(A)) = join(converse(A),converse(A)),
inference(subst,[],[refute_0_2566:[bind(X_300,$fot(converse(A)))]]) ).
cnf(refute_0_2568,plain,
( composition(join(one,one),converse(A)) != join(converse(A),converse(A))
| converse(composition(join(one,one),converse(A))) != composition(A,converse(join(one,one)))
| converse(join(converse(A),converse(A))) = composition(A,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(A))),composition(A,converse(join(one,one)))) ),[0,0],$fot(join(converse(A),converse(A)))]]) ).
cnf(refute_0_2569,plain,
( converse(composition(join(one,one),converse(A))) != composition(A,converse(join(one,one)))
| converse(join(converse(A),converse(A))) = composition(A,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(A)),join(converse(A),converse(A))) )],[refute_0_2567,refute_0_2568]) ).
cnf(refute_0_2570,plain,
converse(join(converse(A),converse(A))) = composition(A,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(A))),composition(A,converse(join(one,one)))) )],[refute_0_2559,refute_0_2569]) ).
cnf(refute_0_2571,plain,
join(A,converse(converse(A))) = join(A,converse(converse(A))),
introduced(tautology,[refl,[$fot(join(A,converse(converse(A))))]]) ).
cnf(refute_0_2572,plain,
( converse(converse(A)) != A
| join(A,converse(converse(A))) != join(A,converse(converse(A)))
| join(A,converse(converse(A))) = join(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(converse(A))),join(A,converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_2573,plain,
( converse(converse(A)) != A
| join(A,converse(converse(A))) = join(A,A) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(A))),join(A,converse(converse(A)))) )],[refute_0_2571,refute_0_2572]) ).
cnf(refute_0_2574,plain,
join(A,converse(converse(A))) = join(A,A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_2573]) ).
cnf(refute_0_2575,plain,
converse(join(converse(A),converse(A))) = join(A,converse(converse(A))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(converse(A)))]]) ).
cnf(refute_0_2576,plain,
( converse(join(converse(A),converse(A))) != join(A,converse(converse(A)))
| join(A,converse(converse(A))) != join(A,A)
| converse(join(converse(A),converse(A))) = join(A,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),converse(A))))),bind(Y,$fot(join(A,converse(converse(A))))),bind(Z,$fot(join(A,A)))]]) ).
cnf(refute_0_2577,plain,
( join(A,converse(converse(A))) != join(A,A)
| converse(join(converse(A),converse(A))) = join(A,A) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(A))),join(A,converse(converse(A)))) )],[refute_0_2575,refute_0_2576]) ).
cnf(refute_0_2578,plain,
converse(join(converse(A),converse(A))) = join(A,A),
inference(resolve,[$cnf( $equal(join(A,converse(converse(A))),join(A,A)) )],[refute_0_2574,refute_0_2577]) ).
cnf(refute_0_2579,plain,
( converse(join(converse(A),converse(A))) != composition(A,converse(join(one,one)))
| converse(join(converse(A),converse(A))) != join(A,A)
| join(A,A) = composition(A,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),converse(A))),composition(A,converse(join(one,one)))) ),[0],$fot(join(A,A))]]) ).
cnf(refute_0_2580,plain,
( converse(join(converse(A),converse(A))) != composition(A,converse(join(one,one)))
| join(A,A) = composition(A,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(A))),join(A,A)) )],[refute_0_2578,refute_0_2579]) ).
cnf(refute_0_2581,plain,
composition(A,converse(join(one,one))) = composition(A,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(A,converse(join(one,one))))]]) ).
cnf(refute_0_2582,plain,
( composition(A,converse(join(one,one))) != composition(A,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(A,converse(join(one,one))) = composition(A,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,converse(join(one,one))),composition(A,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_2583,plain,
( converse(join(one,one)) != join(one,one)
| composition(A,converse(join(one,one))) = composition(A,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(A,converse(join(one,one))),composition(A,converse(join(one,one)))) )],[refute_0_2581,refute_0_2582]) ).
cnf(refute_0_2584,plain,
composition(A,converse(join(one,one))) = composition(A,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_2583]) ).
cnf(refute_0_2585,plain,
( composition(A,converse(join(one,one))) != composition(A,join(one,one))
| join(A,A) != composition(A,converse(join(one,one)))
| join(A,A) = composition(A,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,A),composition(A,converse(join(one,one)))) ),[1],$fot(composition(A,join(one,one)))]]) ).
cnf(refute_0_2586,plain,
( join(A,A) != composition(A,converse(join(one,one)))
| join(A,A) = composition(A,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(A,converse(join(one,one))),composition(A,join(one,one))) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
( converse(join(converse(A),converse(A))) != composition(A,converse(join(one,one)))
| join(A,A) = composition(A,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(A,A),composition(A,converse(join(one,one)))) )],[refute_0_2580,refute_0_2586]) ).
cnf(refute_0_2588,plain,
join(A,A) = composition(A,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(A))),composition(A,converse(join(one,one)))) )],[refute_0_2570,refute_0_2587]) ).
cnf(refute_0_2589,plain,
join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) = composition(meet(one,complement(converse(sk1))),join(one,one)),
inference(subst,[],[refute_0_2588:[bind(A,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2590,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1))))) != join(one,meet(one,complement(converse(sk1))))
| join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) != composition(meet(one,complement(converse(sk1))),join(one,one))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1))))),join(one,meet(one,complement(converse(sk1))))) ),[0,1],$fot(composition(meet(one,complement(converse(sk1))),join(one,one)))]]) ).
cnf(refute_0_2591,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1))))) != join(one,meet(one,complement(converse(sk1))))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))),composition(meet(one,complement(converse(sk1))),join(one,one))) )],[refute_0_2589,refute_0_2590]) ).
cnf(refute_0_2592,plain,
join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1))))),join(one,meet(one,complement(converse(sk1))))) )],[refute_0_2558,refute_0_2591]) ).
cnf(refute_0_2593,plain,
converse(converse(join(one,meet(one,complement(converse(sk1)))))) = join(one,meet(one,complement(converse(sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2594,plain,
join(one,join(sk1,converse(meet(one,complement(converse(sk1)))))) = join(one,converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2595,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(join(converse(sk1),meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(meet(one,complement(converse(sk1))))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_2596,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(one,complement(converse(sk1)))))
| join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(one,complement(converse(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2597,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),one) )],[refute_0_2554,refute_0_2596]) ).
cnf(refute_0_2598,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(one,complement(converse(sk1)))))) )],[refute_0_2595,refute_0_2597]) ).
cnf(refute_0_2599,plain,
converse(join(converse(sk1),meet(one,complement(converse(sk1))))) = join(sk1,converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_300:[bind(A,$fot(sk1)),bind(X_5,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2600,plain,
( converse(join(converse(sk1),meet(one,complement(converse(sk1))))) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(meet(one,complement(converse(sk1))),converse(sk1))))),bind(Y,$fot(converse(join(converse(sk1),meet(one,complement(converse(sk1))))))),bind(Z,$fot(join(sk1,converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_2601,plain,
( converse(join(converse(sk1),meet(one,complement(converse(sk1))))) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(one,complement(converse(sk1)))))) )],[refute_0_2595,refute_0_2600]) ).
cnf(refute_0_2602,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(converse(sk1),meet(one,complement(converse(sk1))))),join(sk1,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_2599,refute_0_2601]) ).
cnf(refute_0_2603,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| join(sk1,converse(meet(one,complement(converse(sk1))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(one)) ),[0],$fot(join(sk1,converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2604,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),join(sk1,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_2602,refute_0_2603]) ).
cnf(refute_0_2605,plain,
( converse(one) != one
| join(sk1,converse(meet(one,complement(converse(sk1))))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_2606,plain,
( join(sk1,converse(meet(one,complement(converse(sk1))))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_2605]) ).
cnf(refute_0_2607,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),converse(one)) )],[refute_0_2604,refute_0_2606]) ).
cnf(refute_0_2608,plain,
join(sk1,converse(meet(one,complement(converse(sk1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(one)) )],[refute_0_2598,refute_0_2607]) ).
cnf(refute_0_2609,plain,
( join(one,join(sk1,converse(meet(one,complement(converse(sk1)))))) != join(one,converse(meet(one,complement(converse(sk1)))))
| join(sk1,converse(meet(one,complement(converse(sk1))))) != one
| join(one,one) = join(one,converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,converse(meet(one,complement(converse(sk1)))))),join(one,converse(meet(one,complement(converse(sk1)))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_2610,plain,
( join(one,join(sk1,converse(meet(one,complement(converse(sk1)))))) != join(one,converse(meet(one,complement(converse(sk1)))))
| join(one,one) = join(one,converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),one) )],[refute_0_2608,refute_0_2609]) ).
cnf(refute_0_2611,plain,
join(one,one) = join(one,converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(meet(one,complement(converse(sk1)))))),join(one,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_2594,refute_0_2610]) ).
cnf(refute_0_2612,plain,
join(one,converse(meet(one,complement(converse(sk1))))) = converse(join(one,meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2613,plain,
( join(one,converse(meet(one,complement(converse(sk1))))) != converse(join(one,meet(one,complement(converse(sk1)))))
| join(one,one) != join(one,converse(meet(one,complement(converse(sk1)))))
| join(one,one) = converse(join(one,meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(one,converse(meet(one,complement(converse(sk1)))))) ),[1],$fot(converse(join(one,meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2614,plain,
( join(one,one) != join(one,converse(meet(one,complement(converse(sk1)))))
| join(one,one) = converse(join(one,meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(converse(sk1))))),converse(join(one,meet(one,complement(converse(sk1)))))) )],[refute_0_2612,refute_0_2613]) ).
cnf(refute_0_2615,plain,
join(one,one) = converse(join(one,meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(one,one),join(one,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_2611,refute_0_2614]) ).
cnf(refute_0_2616,plain,
( join(one,one) != converse(join(one,meet(one,complement(converse(sk1)))))
| converse(join(one,meet(one,complement(converse(sk1))))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(converse(join(one,meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_2617,plain,
converse(join(one,meet(one,complement(converse(sk1))))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),converse(join(one,meet(one,complement(converse(sk1)))))) )],[refute_0_2615,refute_0_2616]) ).
cnf(refute_0_2618,plain,
( converse(converse(join(one,meet(one,complement(converse(sk1)))))) != join(one,meet(one,complement(converse(sk1))))
| converse(join(one,meet(one,complement(converse(sk1))))) != join(one,one)
| converse(join(one,one)) = join(one,meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(sk1)))))),join(one,meet(one,complement(converse(sk1))))) ),[0,0],$fot(join(one,one))]]) ).
cnf(refute_0_2619,plain,
( converse(converse(join(one,meet(one,complement(converse(sk1)))))) != join(one,meet(one,complement(converse(sk1))))
| converse(join(one,one)) = join(one,meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(converse(sk1))))),join(one,one)) )],[refute_0_2617,refute_0_2618]) ).
cnf(refute_0_2620,plain,
converse(join(one,one)) = join(one,meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(sk1)))))),join(one,meet(one,complement(converse(sk1))))) )],[refute_0_2593,refute_0_2619]) ).
cnf(refute_0_2621,plain,
( converse(join(one,one)) != join(one,meet(one,complement(converse(sk1))))
| converse(join(one,one)) != join(one,one)
| join(one,one) = join(one,meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,meet(one,complement(converse(sk1))))) ),[0],$fot(join(one,one))]]) ).
cnf(refute_0_2622,plain,
( converse(join(one,one)) != join(one,meet(one,complement(converse(sk1))))
| join(one,one) = join(one,meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_453,refute_0_2621]) ).
cnf(refute_0_2623,plain,
join(one,one) = join(one,meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,meet(one,complement(converse(sk1))))) )],[refute_0_2620,refute_0_2622]) ).
cnf(refute_0_2624,plain,
( join(one,one) != join(one,meet(one,complement(converse(sk1))))
| join(one,meet(one,complement(converse(sk1)))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(join(one,meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_2625,plain,
join(one,meet(one,complement(converse(sk1)))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),join(one,meet(one,complement(converse(sk1))))) )],[refute_0_2623,refute_0_2624]) ).
cnf(refute_0_2626,plain,
( join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(one,meet(one,complement(converse(sk1))))
| join(one,meet(one,complement(converse(sk1)))) != join(one,one)
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(one,one)) ),[0],$fot(join(one,meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2627,plain,
( join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(one,meet(one,complement(converse(sk1))))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(sk1)))),join(one,one)) )],[refute_0_2625,refute_0_2626]) ).
cnf(refute_0_2628,plain,
join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(one,one),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(one,meet(one,complement(converse(sk1))))) )],[refute_0_2592,refute_0_2627]) ).
cnf(refute_0_2629,plain,
join(complement(join(complement(X_26),complement(X_27))),complement(join(complement(X_26),complement(X_27)))) = complement(join(complement(X_26),complement(X_27))),
inference(subst,[],[refute_0_136:[bind(X_23,$fot(join(complement(X_26),complement(X_27))))]]) ).
cnf(refute_0_2630,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| join(complement(join(complement(X_26),complement(X_27))),complement(join(complement(X_26),complement(X_27)))) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = complement(join(complement(X_26),complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X_26),complement(X_27))),complement(join(complement(X_26),complement(X_27)))),complement(join(complement(X_26),complement(X_27)))) ),[0,0],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_2631,plain,
( join(complement(join(complement(X_26),complement(X_27))),complement(join(complement(X_26),complement(X_27)))) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = complement(join(complement(X_26),complement(X_27))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_2630]) ).
cnf(refute_0_2632,plain,
join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = complement(join(complement(X_26),complement(X_27))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_26),complement(X_27))),complement(join(complement(X_26),complement(X_27)))),complement(join(complement(X_26),complement(X_27)))) )],[refute_0_2629,refute_0_2631]) ).
cnf(refute_0_2633,plain,
join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),
introduced(tautology,[refl,[$fot(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))))]]) ).
cnf(refute_0_2634,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) != join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27))))
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = join(meet(X_26,X_27),meet(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27))))) ),[1,1],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_2635,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = join(meet(X_26,X_27),meet(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27))))) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) = join(meet(X_26,X_27),meet(X_26,X_27)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_2635]) ).
cnf(refute_0_2637,plain,
( join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) != join(meet(X_26,X_27),meet(X_26,X_27))
| join(meet(X_26,X_27),meet(X_26,X_27)) = complement(join(complement(X_26),complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),complement(join(complement(X_26),complement(X_27)))) ),[0],$fot(join(meet(X_26,X_27),meet(X_26,X_27)))]]) ).
cnf(refute_0_2638,plain,
( join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),meet(X_26,X_27)) = complement(join(complement(X_26),complement(X_27))) ),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),join(meet(X_26,X_27),meet(X_26,X_27))) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
( complement(join(complement(X_26),complement(X_27))) != meet(X_26,X_27)
| join(meet(X_26,X_27),meet(X_26,X_27)) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),meet(X_26,X_27)) = meet(X_26,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_27),meet(X_26,X_27)),complement(join(complement(X_26),complement(X_27)))) ),[1],$fot(meet(X_26,X_27))]]) ).
cnf(refute_0_2640,plain,
( join(meet(X_26,X_27),meet(X_26,X_27)) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),meet(X_26,X_27)) = meet(X_26,X_27) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_27))),meet(X_26,X_27)) )],[refute_0_28,refute_0_2639]) ).
cnf(refute_0_2641,plain,
( join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))) != complement(join(complement(X_26),complement(X_27)))
| join(meet(X_26,X_27),meet(X_26,X_27)) = meet(X_26,X_27) ),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),meet(X_26,X_27)),complement(join(complement(X_26),complement(X_27)))) )],[refute_0_2638,refute_0_2640]) ).
cnf(refute_0_2642,plain,
join(meet(X_26,X_27),meet(X_26,X_27)) = meet(X_26,X_27),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),complement(join(complement(X_26),complement(X_27)))),complement(join(complement(X_26),complement(X_27)))) )],[refute_0_2632,refute_0_2641]) ).
cnf(refute_0_2643,plain,
( composition(join(one,one),X_300) != join(X_300,X_300)
| join(X_300,X_300) = composition(join(one,one),X_300) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,one),X_300))),bind(Y,$fot(join(X_300,X_300)))]]) ).
cnf(refute_0_2644,plain,
join(X_300,X_300) = composition(join(one,one),X_300),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_300),join(X_300,X_300)) )],[refute_0_2566,refute_0_2643]) ).
cnf(refute_0_2645,plain,
join(meet(X_26,X_27),meet(X_26,X_27)) = composition(join(one,one),meet(X_26,X_27)),
inference(subst,[],[refute_0_2644:[bind(X_300,$fot(meet(X_26,X_27)))]]) ).
cnf(refute_0_2646,plain,
( join(meet(X_26,X_27),meet(X_26,X_27)) != composition(join(one,one),meet(X_26,X_27))
| join(meet(X_26,X_27),meet(X_26,X_27)) != meet(X_26,X_27)
| composition(join(one,one),meet(X_26,X_27)) = meet(X_26,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_27),meet(X_26,X_27)),meet(X_26,X_27)) ),[0],$fot(composition(join(one,one),meet(X_26,X_27)))]]) ).
cnf(refute_0_2647,plain,
( join(meet(X_26,X_27),meet(X_26,X_27)) != meet(X_26,X_27)
| composition(join(one,one),meet(X_26,X_27)) = meet(X_26,X_27) ),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),meet(X_26,X_27)),composition(join(one,one),meet(X_26,X_27))) )],[refute_0_2645,refute_0_2646]) ).
cnf(refute_0_2648,plain,
composition(join(one,one),meet(X_26,X_27)) = meet(X_26,X_27),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_27),meet(X_26,X_27)),meet(X_26,X_27)) )],[refute_0_2642,refute_0_2647]) ).
cnf(refute_0_2649,plain,
composition(join(one,one),meet(one,complement(converse(sk1)))) = meet(one,complement(converse(sk1))),
inference(subst,[],[refute_0_2648:[bind(X_26,$fot(one)),bind(X_27,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_2650,plain,
join(X_300,X_300) = composition(X_300,join(one,one)),
inference(subst,[],[refute_0_2588:[bind(A,$fot(X_300))]]) ).
cnf(refute_0_2651,plain,
( composition(join(one,one),X_300) != join(X_300,X_300)
| join(X_300,X_300) != composition(X_300,join(one,one))
| composition(join(one,one),X_300) = composition(X_300,join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),X_300),composition(X_300,join(one,one))) ),[0],$fot(join(X_300,X_300))]]) ).
cnf(refute_0_2652,plain,
( composition(join(one,one),X_300) != join(X_300,X_300)
| composition(join(one,one),X_300) = composition(X_300,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X_300,X_300),composition(X_300,join(one,one))) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
composition(join(one,one),X_300) = composition(X_300,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_300),join(X_300,X_300)) )],[refute_0_2566,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( composition(join(one,one),X_300) != composition(X_300,join(one,one))
| composition(X_300,join(one,one)) = composition(join(one,one),X_300) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,one),X_300))),bind(Y,$fot(composition(X_300,join(one,one))))]]) ).
cnf(refute_0_2655,plain,
composition(X_300,join(one,one)) = composition(join(one,one),X_300),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_300),composition(X_300,join(one,one))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
composition(meet(one,complement(converse(sk1))),join(one,one)) = composition(join(one,one),meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_2655:[bind(X_300,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2657,plain,
( composition(join(one,one),meet(one,complement(converse(sk1)))) != meet(one,complement(converse(sk1)))
| composition(meet(one,complement(converse(sk1))),join(one,one)) != composition(join(one,one),meet(one,complement(converse(sk1))))
| composition(meet(one,complement(converse(sk1))),join(one,one)) = meet(one,complement(converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(meet(one,complement(converse(sk1))),join(one,one)))),bind(Y,$fot(composition(join(one,one),meet(one,complement(converse(sk1)))))),bind(Z,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_2658,plain,
( composition(join(one,one),meet(one,complement(converse(sk1)))) != meet(one,complement(converse(sk1)))
| composition(meet(one,complement(converse(sk1))),join(one,one)) = meet(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(sk1))),join(one,one)),composition(join(one,one),meet(one,complement(converse(sk1))))) )],[refute_0_2656,refute_0_2657]) ).
cnf(refute_0_2659,plain,
composition(meet(one,complement(converse(sk1))),join(one,one)) = meet(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(composition(join(one,one),meet(one,complement(converse(sk1)))),meet(one,complement(converse(sk1)))) )],[refute_0_2649,refute_0_2658]) ).
cnf(refute_0_2660,plain,
join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),
introduced(tautology,[refl,[$fot(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))))]]) ).
cnf(refute_0_2661,plain,
( composition(meet(one,complement(converse(sk1))),join(one,one)) != meet(one,complement(converse(sk1)))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one)))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one)))) ),[1,1],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_2662,plain,
( composition(meet(one,complement(converse(sk1))),join(one,one)) != meet(one,complement(converse(sk1)))
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one)))) )],[refute_0_2660,refute_0_2661]) ).
cnf(refute_0_2663,plain,
join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = join(converse(sk1),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(sk1))),join(one,one)),meet(one,complement(converse(sk1)))) )],[refute_0_2659,refute_0_2662]) ).
cnf(refute_0_2664,plain,
( join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(converse(sk1),meet(one,complement(converse(sk1))))
| join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))))),bind(Y,$fot(join(converse(sk1),meet(one,complement(converse(sk1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2665,plain,
( join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = one ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_2663,refute_0_2664]) ).
cnf(refute_0_2666,plain,
join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) = one,
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),one) )],[refute_0_2554,refute_0_2665]) ).
cnf(refute_0_2667,plain,
( join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(one,one)
| join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != one
| one = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(one,one)) ),[0],$fot(one)]]) ).
cnf(refute_0_2668,plain,
( join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))) != join(one,one)
| one = join(one,one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),one) )],[refute_0_2666,refute_0_2667]) ).
cnf(refute_0_2669,plain,
one = join(one,one),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(meet(one,complement(converse(sk1))),join(one,one))),join(one,one)) )],[refute_0_2628,refute_0_2668]) ).
cnf(refute_0_2670,plain,
( one != join(one,one)
| join(one,one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,one)))]]) ).
cnf(refute_0_2671,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(one,join(one,one)) )],[refute_0_2669,refute_0_2670]) ).
cnf(refute_0_2672,plain,
join(X_177,join(one,one)) = join(X_177,join(one,one)),
introduced(tautology,[refl,[$fot(join(X_177,join(one,one)))]]) ).
cnf(refute_0_2673,plain,
( join(X_177,join(one,one)) != join(X_177,join(one,one))
| join(one,one) != one
| join(X_177,join(one,one)) = join(X_177,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_177,join(one,one)),join(X_177,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2674,plain,
( join(one,one) != one
| join(X_177,join(one,one)) = join(X_177,one) ),
inference(resolve,[$cnf( $equal(join(X_177,join(one,one)),join(X_177,join(one,one))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
join(X_177,join(one,one)) = join(X_177,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_2671,refute_0_2674]) ).
cnf(refute_0_2676,plain,
complement(join(X_177,join(one,one))) = complement(join(X_177,join(one,one))),
introduced(tautology,[refl,[$fot(complement(join(X_177,join(one,one))))]]) ).
cnf(refute_0_2677,plain,
( complement(join(X_177,join(one,one))) != complement(join(X_177,join(one,one)))
| join(X_177,join(one,one)) != join(X_177,one)
| complement(join(X_177,join(one,one))) = complement(join(X_177,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_177,join(one,one))),complement(join(X_177,join(one,one)))) ),[1,0],$fot(join(X_177,one))]]) ).
cnf(refute_0_2678,plain,
( join(X_177,join(one,one)) != join(X_177,one)
| complement(join(X_177,join(one,one))) = complement(join(X_177,one)) ),
inference(resolve,[$cnf( $equal(complement(join(X_177,join(one,one))),complement(join(X_177,join(one,one)))) )],[refute_0_2676,refute_0_2677]) ).
cnf(refute_0_2679,plain,
complement(join(X_177,join(one,one))) = complement(join(X_177,one)),
inference(resolve,[$cnf( $equal(join(X_177,join(one,one)),join(X_177,one)) )],[refute_0_2675,refute_0_2678]) ).
cnf(refute_0_2680,plain,
join(one,complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,join(one,one)))),
introduced(tautology,[refl,[$fot(join(one,complement(join(X_177,join(one,one)))))]]) ).
cnf(refute_0_2681,plain,
( complement(join(X_177,join(one,one))) != complement(join(X_177,one))
| join(one,complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,join(one,one))))
| join(one,complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(X_177,join(one,one)))),join(one,complement(join(X_177,join(one,one))))) ),[1,1],$fot(complement(join(X_177,one)))]]) ).
cnf(refute_0_2682,plain,
( complement(join(X_177,join(one,one))) != complement(join(X_177,one))
| join(one,complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_177,join(one,one)))),join(one,complement(join(X_177,join(one,one))))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
join(one,complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))),
inference(resolve,[$cnf( $equal(complement(join(X_177,join(one,one))),complement(join(X_177,one))) )],[refute_0_2679,refute_0_2682]) ).
cnf(refute_0_2684,plain,
join(converse(one),complement(join(X_177,join(one,one)))) = join(converse(one),complement(join(X_177,join(one,one)))),
introduced(tautology,[refl,[$fot(join(converse(one),complement(join(X_177,join(one,one)))))]]) ).
cnf(refute_0_2685,plain,
( converse(one) != one
| join(converse(one),complement(join(X_177,join(one,one)))) != join(converse(one),complement(join(X_177,join(one,one))))
| join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(join(X_177,join(one,one)))),join(converse(one),complement(join(X_177,join(one,one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2686,plain,
( converse(one) != one
| join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(join(X_177,join(one,one)))),join(converse(one),complement(join(X_177,join(one,one))))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_2686]) ).
cnf(refute_0_2688,plain,
( join(converse(one),complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,join(one,one))))
| join(one,complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,one)))
| join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(one),complement(join(X_177,join(one,one)))))),bind(Y,$fot(join(one,complement(join(X_177,join(one,one)))))),bind(Z,$fot(join(one,complement(join(X_177,one)))))]]) ).
cnf(refute_0_2689,plain,
( join(one,complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,one)))
| join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(join(X_177,join(one,one)))),join(one,complement(join(X_177,join(one,one))))) )],[refute_0_2687,refute_0_2688]) ).
cnf(refute_0_2690,plain,
join(converse(one),complement(join(X_177,join(one,one)))) = join(one,complement(join(X_177,one))),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_177,join(one,one)))),join(one,complement(join(X_177,one)))) )],[refute_0_2683,refute_0_2689]) ).
cnf(refute_0_2691,plain,
converse(join(X_4,converse(complement(X_446)))) = join(converse(X_4),complement(X_446)),
inference(subst,[],[refute_0_345:[bind(A,$fot(complement(X_446)))]]) ).
cnf(refute_0_2692,plain,
converse(complement(X_446)) = complement(converse(X_446)),
inference(subst,[],[refute_0_901:[bind(A,$fot(X_446))]]) ).
cnf(refute_0_2693,plain,
( converse(complement(X_446)) != complement(converse(X_446))
| converse(join(X_4,converse(complement(X_446)))) != join(converse(X_4),complement(X_446))
| converse(join(X_4,complement(converse(X_446)))) = join(converse(X_4),complement(X_446)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(complement(X_446)))),join(converse(X_4),complement(X_446))) ),[0,0,1],$fot(complement(converse(X_446)))]]) ).
cnf(refute_0_2694,plain,
( converse(join(X_4,converse(complement(X_446)))) != join(converse(X_4),complement(X_446))
| converse(join(X_4,complement(converse(X_446)))) = join(converse(X_4),complement(X_446)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_446)),complement(converse(X_446))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
converse(join(X_4,complement(converse(X_446)))) = join(converse(X_4),complement(X_446)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(complement(X_446)))),join(converse(X_4),complement(X_446))) )],[refute_0_2691,refute_0_2694]) ).
cnf(refute_0_2696,plain,
converse(join(one,complement(converse(join(X_177,join(one,one)))))) = join(converse(one),complement(join(X_177,join(one,one)))),
inference(subst,[],[refute_0_2695:[bind(X_4,$fot(one)),bind(X_446,$fot(join(X_177,join(one,one))))]]) ).
cnf(refute_0_2697,plain,
( converse(join(one,complement(converse(join(X_177,join(one,one)))))) != join(converse(one),complement(join(X_177,join(one,one))))
| join(converse(one),complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,one)))
| converse(join(one,complement(converse(join(X_177,join(one,one)))))) = join(one,complement(join(X_177,one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,complement(converse(join(X_177,join(one,one)))))))),bind(Y,$fot(join(converse(one),complement(join(X_177,join(one,one)))))),bind(Z,$fot(join(one,complement(join(X_177,one)))))]]) ).
cnf(refute_0_2698,plain,
( join(converse(one),complement(join(X_177,join(one,one)))) != join(one,complement(join(X_177,one)))
| converse(join(one,complement(converse(join(X_177,join(one,one)))))) = join(one,complement(join(X_177,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(X_177,join(one,one)))))),join(converse(one),complement(join(X_177,join(one,one))))) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
converse(join(one,complement(converse(join(X_177,join(one,one)))))) = join(one,complement(join(X_177,one))),
inference(resolve,[$cnf( $equal(join(converse(one),complement(join(X_177,join(one,one)))),join(one,complement(join(X_177,one)))) )],[refute_0_2690,refute_0_2698]) ).
cnf(refute_0_2700,plain,
meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) = meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))),
introduced(tautology,[refl,[$fot(meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))))]]) ).
cnf(refute_0_2701,plain,
( converse(join(one,complement(converse(join(X_177,join(one,one)))))) != join(one,complement(join(X_177,one)))
| meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) != meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))
| meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))),meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))) ),[1,1],$fot(join(one,complement(join(X_177,one))))]]) ).
cnf(refute_0_2702,plain,
( converse(join(one,complement(converse(join(X_177,join(one,one)))))) != join(one,complement(join(X_177,one)))
| meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))),meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))) )],[refute_0_2700,refute_0_2701]) ).
cnf(refute_0_2703,plain,
meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(X_177,join(one,one)))))),join(one,complement(join(X_177,one)))) )],[refute_0_2699,refute_0_2702]) ).
cnf(refute_0_2704,plain,
( complement(join(one,X_177)) != meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))
| meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))) != meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))
| complement(join(one,X_177)) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(one,X_177)),meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))) ),[0],$fot(meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))))]]) ).
cnf(refute_0_2705,plain,
( complement(join(one,X_177)) != meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))
| complement(join(one,X_177)) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one))))))),meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))) )],[refute_0_2703,refute_0_2704]) ).
cnf(refute_0_2706,plain,
complement(join(one,X_177)) = meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))),
inference(resolve,[$cnf( $equal(complement(join(one,X_177)),meet(complement(join(one,X_177)),converse(join(one,complement(converse(join(X_177,join(one,one)))))))) )],[refute_0_2493,refute_0_2705]) ).
cnf(refute_0_2707,plain,
complement(join(one,complement(composition(sk1,one)))) = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))),
inference(subst,[],[refute_0_2706:[bind(X_177,$fot(complement(composition(sk1,one))))]]) ).
cnf(refute_0_2708,plain,
converse(converse(join(X_477,complement(composition(sk1,X_477))))) = join(X_477,complement(composition(sk1,X_477))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_477,complement(composition(sk1,X_477)))))]]) ).
cnf(refute_0_2709,plain,
top = join(complement(converse(composition(X_150,X_152))),converse(join(composition(X_150,X_152),composition(X_151,X_152)))),
inference(subst,[],[refute_0_628:[bind(X_64,$fot(composition(X_151,X_152))),bind(X_65,$fot(composition(X_150,X_152)))]]) ).
cnf(refute_0_2710,plain,
( join(composition(X_150,X_152),composition(X_151,X_152)) != composition(join(X_150,X_151),X_152)
| top != join(complement(converse(composition(X_150,X_152))),converse(join(composition(X_150,X_152),composition(X_151,X_152))))
| top = join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(composition(X_150,X_152))),converse(join(composition(X_150,X_152),composition(X_151,X_152))))) ),[1,1,0],$fot(composition(join(X_150,X_151),X_152))]]) ).
cnf(refute_0_2711,plain,
( top != join(complement(converse(composition(X_150,X_152))),converse(join(composition(X_150,X_152),composition(X_151,X_152))))
| top = join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))) ),
inference(resolve,[$cnf( $equal(join(composition(X_150,X_152),composition(X_151,X_152)),composition(join(X_150,X_151),X_152)) )],[refute_0_1395,refute_0_2710]) ).
cnf(refute_0_2712,plain,
top = join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(composition(X_150,X_152))),converse(join(composition(X_150,X_152),composition(X_151,X_152))))) )],[refute_0_2709,refute_0_2711]) ).
cnf(refute_0_2713,plain,
converse(join(complement(X_446),B)) = join(converse(complement(X_446)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(complement(X_446)))]]) ).
cnf(refute_0_2714,plain,
( converse(complement(X_446)) != complement(converse(X_446))
| converse(join(complement(X_446),B)) != join(converse(complement(X_446)),converse(B))
| converse(join(complement(X_446),B)) = join(complement(converse(X_446)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_446),B)),join(converse(complement(X_446)),converse(B))) ),[1,0],$fot(complement(converse(X_446)))]]) ).
cnf(refute_0_2715,plain,
( converse(join(complement(X_446),B)) != join(converse(complement(X_446)),converse(B))
| converse(join(complement(X_446),B)) = join(complement(converse(X_446)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_446)),complement(converse(X_446))) )],[refute_0_2692,refute_0_2714]) ).
cnf(refute_0_2716,plain,
converse(join(complement(X_446),B)) = join(complement(converse(X_446)),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_446),B)),join(converse(complement(X_446)),converse(B))) )],[refute_0_2713,refute_0_2715]) ).
cnf(refute_0_2717,plain,
( converse(join(complement(X_446),B)) != join(complement(converse(X_446)),converse(B))
| join(complement(converse(X_446)),converse(B)) = converse(join(complement(X_446),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(X_446),B)))),bind(Y,$fot(join(complement(converse(X_446)),converse(B))))]]) ).
cnf(refute_0_2718,plain,
join(complement(converse(X_446)),converse(B)) = converse(join(complement(X_446),B)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_446),B)),join(complement(converse(X_446)),converse(B))) )],[refute_0_2716,refute_0_2717]) ).
cnf(refute_0_2719,plain,
join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))) = converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152))),
inference(subst,[],[refute_0_2718:[bind(B,$fot(composition(join(X_150,X_151),X_152))),bind(X_446,$fot(composition(X_150,X_152)))]]) ).
cnf(refute_0_2720,plain,
( join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))) != converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152)))
| top != join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152)))
| top = converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152)))) ),[1],$fot(converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152))))]]) ).
cnf(refute_0_2721,plain,
( top != join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152)))
| top = converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152))),converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152)))) )],[refute_0_2719,refute_0_2720]) ).
cnf(refute_0_2722,plain,
top = converse(join(complement(composition(X_150,X_152)),composition(join(X_150,X_151),X_152))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(composition(X_150,X_152))),converse(composition(join(X_150,X_151),X_152)))) )],[refute_0_2712,refute_0_2721]) ).
cnf(refute_0_2723,plain,
top = converse(join(complement(composition(sk1,X_476)),composition(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),X_476))),
inference(subst,[],[refute_0_2722:[bind(X_150,$fot(sk1)),bind(X_151,$fot(converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))),bind(X_152,$fot(X_476))]]) ).
cnf(refute_0_2724,plain,
converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_2725,plain,
X_87 = join(meet(X_87,complement(B)),complement(join(complement(X_87),complement(B)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_87)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_2726,plain,
meet(X_87,B) = complement(join(complement(X_87),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_87))]]) ).
cnf(refute_0_2727,plain,
( meet(X_87,B) != complement(join(complement(X_87),complement(B)))
| complement(join(complement(X_87),complement(B))) = meet(X_87,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_87,B))),bind(Y,$fot(complement(join(complement(X_87),complement(B)))))]]) ).
cnf(refute_0_2728,plain,
complement(join(complement(X_87),complement(B))) = meet(X_87,B),
inference(resolve,[$cnf( $equal(meet(X_87,B),complement(join(complement(X_87),complement(B)))) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
( X_87 != join(meet(X_87,complement(B)),complement(join(complement(X_87),complement(B))))
| complement(join(complement(X_87),complement(B))) != meet(X_87,B)
| X_87 = join(meet(X_87,complement(B)),meet(X_87,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,complement(B)),complement(join(complement(X_87),complement(B))))) ),[1,1],$fot(meet(X_87,B))]]) ).
cnf(refute_0_2730,plain,
( X_87 != join(meet(X_87,complement(B)),complement(join(complement(X_87),complement(B))))
| X_87 = join(meet(X_87,complement(B)),meet(X_87,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_87),complement(B))),meet(X_87,B)) )],[refute_0_2728,refute_0_2729]) ).
cnf(refute_0_2731,plain,
X_87 = join(meet(X_87,complement(B)),meet(X_87,B)),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,complement(B)),complement(join(complement(X_87),complement(B))))) )],[refute_0_2725,refute_0_2730]) ).
cnf(refute_0_2732,plain,
join(meet(X_87,complement(B)),meet(X_87,B)) = join(meet(X_87,B),meet(X_87,complement(B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(X_87,B))),bind(B,$fot(meet(X_87,complement(B))))]]) ).
cnf(refute_0_2733,plain,
( X_87 != join(meet(X_87,complement(B)),meet(X_87,B))
| join(meet(X_87,complement(B)),meet(X_87,B)) != join(meet(X_87,B),meet(X_87,complement(B)))
| X_87 = join(meet(X_87,B),meet(X_87,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,join(meet(X_87,B),meet(X_87,complement(B)))) ),[0],$fot(join(meet(X_87,complement(B)),meet(X_87,B)))]]) ).
cnf(refute_0_2734,plain,
( X_87 != join(meet(X_87,complement(B)),meet(X_87,B))
| X_87 = join(meet(X_87,B),meet(X_87,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_87,complement(B)),meet(X_87,B)),join(meet(X_87,B),meet(X_87,complement(B)))) )],[refute_0_2732,refute_0_2733]) ).
cnf(refute_0_2735,plain,
X_87 = join(meet(X_87,B),meet(X_87,complement(B))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,complement(B)),meet(X_87,B))) )],[refute_0_2731,refute_0_2734]) ).
cnf(refute_0_2736,plain,
one = join(meet(one,join(converse(sk1),meet(sk1,complement(one)))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(join(converse(sk1),meet(sk1,complement(one))))),bind(X_87,$fot(one))]]) ).
cnf(refute_0_2737,plain,
complement(complement(join(converse(sk1),meet(sk1,complement(one))))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_2421:[bind(B,$fot(complement(join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2738,plain,
join(sk1,join(meet(sk1,complement(one)),C)) = join(join(sk1,meet(sk1,complement(one))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_2739,plain,
sk1 = join(meet(one,sk1),meet(sk1,complement(one))),
inference(subst,[],[refute_0_2242:[bind(X_87,$fot(sk1)),bind(X_88,$fot(one))]]) ).
cnf(refute_0_2740,plain,
( meet(one,sk1) != sk1
| sk1 != join(meet(one,sk1),meet(sk1,complement(one)))
| sk1 = join(sk1,meet(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(one,sk1),meet(sk1,complement(one)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2741,plain,
( sk1 != join(meet(one,sk1),meet(sk1,complement(one)))
| sk1 = join(sk1,meet(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,sk1),sk1) )],[refute_0_1695,refute_0_2740]) ).
cnf(refute_0_2742,plain,
sk1 = join(sk1,meet(sk1,complement(one))),
inference(resolve,[$cnf( $equal(sk1,join(meet(one,sk1),meet(sk1,complement(one)))) )],[refute_0_2739,refute_0_2741]) ).
cnf(refute_0_2743,plain,
( sk1 != join(sk1,meet(sk1,complement(one)))
| join(sk1,meet(sk1,complement(one))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(join(sk1,meet(sk1,complement(one)))))]]) ).
cnf(refute_0_2744,plain,
join(sk1,meet(sk1,complement(one))) = sk1,
inference(resolve,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(one)))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
( join(sk1,join(meet(sk1,complement(one)),C)) != join(join(sk1,meet(sk1,complement(one))),C)
| join(sk1,meet(sk1,complement(one))) != sk1
| join(sk1,join(meet(sk1,complement(one)),C)) = join(sk1,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),C)),join(join(sk1,meet(sk1,complement(one))),C)) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2746,plain,
( join(sk1,join(meet(sk1,complement(one)),C)) != join(join(sk1,meet(sk1,complement(one))),C)
| join(sk1,join(meet(sk1,complement(one)),C)) = join(sk1,C) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk1,complement(one))),sk1) )],[refute_0_2744,refute_0_2745]) ).
cnf(refute_0_2747,plain,
join(sk1,join(meet(sk1,complement(one)),C)) = join(sk1,C),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),C)),join(join(sk1,meet(sk1,complement(one))),C)) )],[refute_0_2738,refute_0_2746]) ).
cnf(refute_0_2748,plain,
join(sk1,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(subst,[],[refute_0_2747:[bind(C,$fot(join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2749,plain,
converse(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1))))))) = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(converse(join(one,complement(converse(join(converse(A),sk1)))))))]]) ).
cnf(refute_0_2750,plain,
join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_114,converse(complement(converse(join(X_114,sk1))))))),bind(B,$fot(one))]]) ).
cnf(refute_0_2751,plain,
join(one,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))) = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(join(X_112,converse(complement(converse(join(X_112,sk1)))))))]]) ).
cnf(refute_0_2752,plain,
top = join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1)))))),
inference(subst,[],[refute_0_550:[bind(A,$fot(X_112)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_2753,plain,
( top != join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))
| join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))))]]) ).
cnf(refute_0_2754,plain,
join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
( join(one,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))) != join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))
| join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1)))))) != top
| join(one,top) = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))),join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2756,plain,
( join(one,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))) != join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))
| join(one,top) = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1)))))),top) )],[refute_0_2754,refute_0_2755]) ).
cnf(refute_0_2757,plain,
join(one,top) = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(X_112,converse(complement(converse(join(X_112,sk1))))))),join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))) )],[refute_0_2751,refute_0_2756]) ).
cnf(refute_0_2758,plain,
( join(one,top) != join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))
| join(one,top) != top
| top = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2759,plain,
( join(one,top) != join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))
| top = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_2758]) ).
cnf(refute_0_2760,plain,
top = join(one,join(X_112,converse(complement(converse(join(X_112,sk1)))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_112,converse(complement(converse(join(X_112,sk1))))))) )],[refute_0_2757,refute_0_2759]) ).
cnf(refute_0_2761,plain,
top = join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))),
inference(subst,[],[refute_0_2760:[bind(X_112,$fot(X_114))]]) ).
cnf(refute_0_2762,plain,
( top != join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))
| join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))))]]) ).
cnf(refute_0_2763,plain,
join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
( join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))
| join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))) != top
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),top) ),[0],$fot(join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))))]]) ).
cnf(refute_0_2765,plain,
( join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = top ),
inference(resolve,[$cnf( $equal(join(one,join(X_114,converse(complement(converse(join(X_114,sk1)))))),top) )],[refute_0_2763,refute_0_2764]) ).
cnf(refute_0_2766,plain,
join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = top,
inference(resolve,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),join(one,join(X_114,converse(complement(converse(join(X_114,sk1))))))) )],[refute_0_2750,refute_0_2765]) ).
cnf(refute_0_2767,plain,
join(one,converse(complement(converse(join(X_114,sk1))))) = converse(join(one,complement(converse(join(X_114,sk1))))),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(complement(converse(join(X_114,sk1)))))]]) ).
cnf(refute_0_2768,plain,
join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) = join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),
introduced(tautology,[refl,[$fot(join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))))]]) ).
cnf(refute_0_2769,plain,
( join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) != join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))
| join(one,converse(complement(converse(join(X_114,sk1))))) != converse(join(one,complement(converse(join(X_114,sk1)))))
| join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(X_114,sk1))))))]]) ).
cnf(refute_0_2770,plain,
( join(one,converse(complement(converse(join(X_114,sk1))))) != converse(join(one,complement(converse(join(X_114,sk1)))))
| join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))) )],[refute_0_2768,refute_0_2769]) ).
cnf(refute_0_2771,plain,
join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(X_114,sk1))))),converse(join(one,complement(converse(join(X_114,sk1)))))) )],[refute_0_2767,refute_0_2770]) ).
cnf(refute_0_2772,plain,
join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)) = join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),
inference(subst,[],[refute_0_1742:[bind(X_49,$fot(X_114)),bind(X_50,$fot(converse(complement(converse(join(X_114,sk1)))))),bind(X_51,$fot(one))]]) ).
cnf(refute_0_2773,plain,
join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_114)),bind(B,$fot(converse(complement(converse(join(X_114,sk1)))))),bind(C,$fot(one))]]) ).
cnf(refute_0_2774,plain,
( join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)) != join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one))),bind(Y,$fot(join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)))),bind(Z,$fot(join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))))]]) ).
cnf(refute_0_2775,plain,
( join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)) != join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one))) )],[refute_0_2773,refute_0_2774]) ).
cnf(refute_0_2776,plain,
join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),
inference(resolve,[$cnf( $equal(join(X_114,join(converse(complement(converse(join(X_114,sk1)))),one)),join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))) )],[refute_0_2772,refute_0_2775]) ).
cnf(refute_0_2777,plain,
( join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) != join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one))),bind(Y,$fot(join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))))),bind(Z,$fot(join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))))]]) ).
cnf(refute_0_2778,plain,
( join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))) != join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),join(X_114,join(one,converse(complement(converse(join(X_114,sk1))))))) )],[refute_0_2776,refute_0_2777]) ).
cnf(refute_0_2779,plain,
join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) = join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))),
inference(resolve,[$cnf( $equal(join(X_114,join(one,converse(complement(converse(join(X_114,sk1)))))),join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))) )],[refute_0_2771,refute_0_2778]) ).
cnf(refute_0_2780,plain,
( join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))
| join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != top
| join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),top) ),[0],$fot(join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))))]]) ).
cnf(refute_0_2781,plain,
( join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one) != top
| join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),join(X_114,converse(join(one,complement(converse(join(X_114,sk1))))))) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
join(X_114,converse(join(one,complement(converse(join(X_114,sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(join(X_114,converse(complement(converse(join(X_114,sk1))))),one),top) )],[refute_0_2766,refute_0_2781]) ).
cnf(refute_0_2783,plain,
join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1)))))) = top,
inference(subst,[],[refute_0_2782:[bind(X_114,$fot(converse(A)))]]) ).
cnf(refute_0_2784,plain,
( converse(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1))))))) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1)))))) != top
| converse(top) = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1))))))),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2785,plain,
( converse(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1))))))) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| converse(top) = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1)))))),top) )],[refute_0_2783,refute_0_2784]) ).
cnf(refute_0_2786,plain,
converse(top) = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(join(one,complement(converse(join(converse(A),sk1))))))),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) )],[refute_0_2749,refute_0_2785]) ).
cnf(refute_0_2787,plain,
( converse(top) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| converse(top) != top
| top = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2788,plain,
( converse(top) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| top = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_2787]) ).
cnf(refute_0_2789,plain,
converse(join(sk1,converse(A))) = join(converse(sk1),A),
inference(subst,[],[refute_0_345:[bind(X_4,$fot(sk1))]]) ).
cnf(refute_0_2790,plain,
converse(join(converse(A),sk1)) = converse(join(sk1,converse(A))),
inference(subst,[],[refute_0_310:[bind(A,$fot(sk1)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_2791,plain,
( converse(join(converse(A),sk1)) != converse(join(sk1,converse(A)))
| converse(join(sk1,converse(A))) != join(converse(sk1),A)
| converse(join(converse(A),sk1)) = join(converse(sk1),A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(A),sk1)))),bind(Y,$fot(converse(join(sk1,converse(A))))),bind(Z,$fot(join(converse(sk1),A)))]]) ).
cnf(refute_0_2792,plain,
( converse(join(sk1,converse(A))) != join(converse(sk1),A)
| converse(join(converse(A),sk1)) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),sk1)),converse(join(sk1,converse(A)))) )],[refute_0_2790,refute_0_2791]) ).
cnf(refute_0_2793,plain,
converse(join(converse(A),sk1)) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(A))),join(converse(sk1),A)) )],[refute_0_2789,refute_0_2792]) ).
cnf(refute_0_2794,plain,
complement(converse(join(converse(A),sk1))) = complement(converse(join(converse(A),sk1))),
introduced(tautology,[refl,[$fot(complement(converse(join(converse(A),sk1))))]]) ).
cnf(refute_0_2795,plain,
( complement(converse(join(converse(A),sk1))) != complement(converse(join(converse(A),sk1)))
| converse(join(converse(A),sk1)) != join(converse(sk1),A)
| complement(converse(join(converse(A),sk1))) = complement(join(converse(sk1),A)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(converse(A),sk1))),complement(converse(join(converse(A),sk1)))) ),[1,0],$fot(join(converse(sk1),A))]]) ).
cnf(refute_0_2796,plain,
( converse(join(converse(A),sk1)) != join(converse(sk1),A)
| complement(converse(join(converse(A),sk1))) = complement(join(converse(sk1),A)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(A),sk1))),complement(converse(join(converse(A),sk1)))) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
complement(converse(join(converse(A),sk1))) = complement(join(converse(sk1),A)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),sk1)),join(converse(sk1),A)) )],[refute_0_2793,refute_0_2796]) ).
cnf(refute_0_2798,plain,
join(one,complement(converse(join(converse(A),sk1)))) = join(one,complement(converse(join(converse(A),sk1)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(converse(A),sk1)))))]]) ).
cnf(refute_0_2799,plain,
( complement(converse(join(converse(A),sk1))) != complement(join(converse(sk1),A))
| join(one,complement(converse(join(converse(A),sk1)))) != join(one,complement(converse(join(converse(A),sk1))))
| join(one,complement(converse(join(converse(A),sk1)))) = join(one,complement(join(converse(sk1),A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(converse(A),sk1)))),join(one,complement(converse(join(converse(A),sk1))))) ),[1,1],$fot(complement(join(converse(sk1),A)))]]) ).
cnf(refute_0_2800,plain,
( complement(converse(join(converse(A),sk1))) != complement(join(converse(sk1),A))
| join(one,complement(converse(join(converse(A),sk1)))) = join(one,complement(join(converse(sk1),A))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(converse(A),sk1)))),join(one,complement(converse(join(converse(A),sk1))))) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
join(one,complement(converse(join(converse(A),sk1)))) = join(one,complement(join(converse(sk1),A))),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(A),sk1))),complement(join(converse(sk1),A))) )],[refute_0_2797,refute_0_2800]) ).
cnf(refute_0_2802,plain,
converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) = join(one,complement(converse(join(converse(A),sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(converse(join(converse(A),sk1))))))]]) ).
cnf(refute_0_2803,plain,
( converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) != join(one,complement(converse(join(converse(A),sk1))))
| join(one,complement(converse(join(converse(A),sk1)))) != join(one,complement(join(converse(sk1),A)))
| converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) = join(one,complement(join(converse(sk1),A))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))),bind(Y,$fot(join(one,complement(converse(join(converse(A),sk1)))))),bind(Z,$fot(join(one,complement(join(converse(sk1),A)))))]]) ).
cnf(refute_0_2804,plain,
( join(one,complement(converse(join(converse(A),sk1)))) != join(one,complement(join(converse(sk1),A)))
| converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) = join(one,complement(join(converse(sk1),A))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(join(converse(A),sk1)))))),join(one,complement(converse(join(converse(A),sk1))))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) = join(one,complement(join(converse(sk1),A))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(converse(A),sk1)))),join(one,complement(join(converse(sk1),A)))) )],[refute_0_2801,refute_0_2804]) ).
cnf(refute_0_2806,plain,
join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) = join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),
introduced(tautology,[refl,[$fot(join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))))]]) ).
cnf(refute_0_2807,plain,
( converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) != join(one,complement(join(converse(sk1),A)))
| join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) = join(A,join(one,complement(join(converse(sk1),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) ),[1,1],$fot(join(one,complement(join(converse(sk1),A))))]]) ).
cnf(refute_0_2808,plain,
( converse(converse(join(one,complement(converse(join(converse(A),sk1)))))) != join(one,complement(join(converse(sk1),A)))
| join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) = join(A,join(one,complement(join(converse(sk1),A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) )],[refute_0_2806,refute_0_2807]) ).
cnf(refute_0_2809,plain,
join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) = join(A,join(one,complement(join(converse(sk1),A)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(join(converse(A),sk1)))))),join(one,complement(join(converse(sk1),A)))) )],[refute_0_2805,refute_0_2808]) ).
cnf(refute_0_2810,plain,
( join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))) != join(A,join(one,complement(join(converse(sk1),A))))
| top != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| top = join(A,join(one,complement(join(converse(sk1),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) ),[1],$fot(join(A,join(one,complement(join(converse(sk1),A)))))]]) ).
cnf(refute_0_2811,plain,
( top != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| top = join(A,join(one,complement(join(converse(sk1),A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1))))))),join(A,join(one,complement(join(converse(sk1),A))))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
( converse(top) != join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))
| top = join(A,join(one,complement(join(converse(sk1),A)))) ),
inference(resolve,[$cnf( $equal(top,join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) )],[refute_0_2788,refute_0_2811]) ).
cnf(refute_0_2813,plain,
top = join(A,join(one,complement(join(converse(sk1),A)))),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(converse(join(one,complement(converse(join(converse(A),sk1)))))))) )],[refute_0_2786,refute_0_2812]) ).
cnf(refute_0_2814,plain,
top = join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(subst,[],[refute_0_2813:[bind(A,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_2815,plain,
( top != join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))]]) ).
cnf(refute_0_2816,plain,
join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2814,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) != top
| join(sk1,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| join(sk1,top) = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2818,plain,
( join(sk1,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| join(sk1,top) = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),top) )],[refute_0_2816,refute_0_2817]) ).
cnf(refute_0_2819,plain,
join(sk1,top) = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2748,refute_0_2818]) ).
cnf(refute_0_2820,plain,
( join(sk1,top) != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| join(sk1,top) != top
| top = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2821,plain,
( join(sk1,top) != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| top = join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1764,refute_0_2820]) ).
cnf(refute_0_2822,plain,
join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))),
inference(subst,[],[refute_0_1652:[bind(X_51,$fot(complement(join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2823,plain,
join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(subst,[],[refute_0_2373:[bind(X_320,$fot(complement(join(converse(sk1),meet(sk1,complement(one)))))),bind(X_49,$fot(sk1)),bind(X_50,$fot(one))]]) ).
cnf(refute_0_2824,plain,
( join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))) != join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))
| join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) != join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one))))))
| join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(Y,$fot(join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(Z,$fot(join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2825,plain,
( join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))) != join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))
| join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2823,refute_0_2824]) ).
cnf(refute_0_2826,plain,
join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(converse(sk1),meet(sk1,complement(one)))))),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) )],[refute_0_2822,refute_0_2825]) ).
cnf(refute_0_2827,plain,
( join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) != join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))
| top != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| top = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[1],$fot(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2828,plain,
( top != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| top = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) )],[refute_0_2826,refute_0_2827]) ).
cnf(refute_0_2829,plain,
( join(sk1,top) != join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| top = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(top,join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2821,refute_0_2828]) ).
cnf(refute_0_2830,plain,
top = join(one,complement(join(converse(sk1),meet(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(sk1,top),join(sk1,join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2819,refute_0_2829]) ).
cnf(refute_0_2831,plain,
( top != join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))
| join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2832,plain,
join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))))
| join(one,complement(join(converse(sk1),meet(sk1,complement(one))))) != top
| complement(complement(join(converse(sk1),meet(sk1,complement(one))))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_2834,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))))
| complement(complement(join(converse(sk1),meet(sk1,complement(one))))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))),top) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
complement(complement(join(converse(sk1),meet(sk1,complement(one))))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(join(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))))) )],[refute_0_2737,refute_0_2834]) ).
cnf(refute_0_2836,plain,
complement(complement(join(converse(sk1),meet(sk1,complement(one))))) = join(converse(sk1),meet(sk1,complement(one))),
inference(subst,[],[refute_0_710:[bind(B,$fot(join(converse(sk1),meet(sk1,complement(one)))))]]) ).
cnf(refute_0_2837,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != join(converse(sk1),meet(sk1,complement(one)))
| complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))
| join(converse(sk1),meet(sk1,complement(one))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))) ),[0],$fot(join(converse(sk1),meet(sk1,complement(one))))]]) ).
cnf(refute_0_2838,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))
| join(converse(sk1),meet(sk1,complement(one))) = meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),join(converse(sk1),meet(sk1,complement(one)))) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2840,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != join(converse(sk1),meet(sk1,complement(one)))
| meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one))))))
| meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[1,1],$fot(join(converse(sk1),meet(sk1,complement(one))))]]) ).
cnf(refute_0_2841,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != join(converse(sk1),meet(sk1,complement(one)))
| meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),join(converse(sk1),meet(sk1,complement(one)))) )],[refute_0_2836,refute_0_2841]) ).
cnf(refute_0_2843,plain,
meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2844,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one))))))
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2845,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2843,refute_0_2844]) ).
cnf(refute_0_2846,plain,
meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_2845]) ).
cnf(refute_0_2847,plain,
( meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one))))))
| meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(Y,$fot(meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(Z,$fot(meet(one,join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2848,plain,
( meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(one,join(converse(sk1),meet(sk1,complement(one))))) )],[refute_0_2842,refute_0_2848]) ).
cnf(refute_0_2850,plain,
meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) = meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(converse(join(one,complement(converse(top)))))),bind(X_27,$fot(complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2851,plain,
( meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) != meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one))))))
| meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(Z,$fot(meet(one,join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2852,plain,
( meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))),meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(complement(join(converse(sk1),meet(sk1,complement(one)))))),meet(one,join(converse(sk1),meet(sk1,complement(one))))) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( join(converse(sk1),meet(sk1,complement(one))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))
| meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| join(converse(sk1),meet(sk1,complement(one))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),meet(sk1,complement(one))),meet(one,join(converse(sk1),meet(sk1,complement(one))))) ),[0],$fot(meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2855,plain,
( join(converse(sk1),meet(sk1,complement(one))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))
| join(converse(sk1),meet(sk1,complement(one))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top))))),meet(one,join(converse(sk1),meet(sk1,complement(one))))) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( complement(complement(join(converse(sk1),meet(sk1,complement(one))))) != meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))
| join(converse(sk1),meet(sk1,complement(one))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(sk1,complement(one))),meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))) )],[refute_0_2838,refute_0_2855]) ).
cnf(refute_0_2857,plain,
join(converse(sk1),meet(sk1,complement(one))) = meet(one,join(converse(sk1),meet(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),meet(complement(complement(join(converse(sk1),meet(sk1,complement(one))))),converse(join(one,complement(converse(top)))))) )],[refute_0_2835,refute_0_2856]) ).
cnf(refute_0_2858,plain,
( join(converse(sk1),meet(sk1,complement(one))) != meet(one,join(converse(sk1),meet(sk1,complement(one))))
| meet(one,join(converse(sk1),meet(sk1,complement(one)))) = join(converse(sk1),meet(sk1,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(sk1),meet(sk1,complement(one))))),bind(Y,$fot(meet(one,join(converse(sk1),meet(sk1,complement(one))))))]]) ).
cnf(refute_0_2859,plain,
meet(one,join(converse(sk1),meet(sk1,complement(one)))) = join(converse(sk1),meet(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(sk1,complement(one))),meet(one,join(converse(sk1),meet(sk1,complement(one))))) )],[refute_0_2857,refute_0_2858]) ).
cnf(refute_0_2860,plain,
( meet(one,join(converse(sk1),meet(sk1,complement(one)))) != join(converse(sk1),meet(sk1,complement(one)))
| one != join(meet(one,join(converse(sk1),meet(sk1,complement(one)))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| one = join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(converse(sk1),meet(sk1,complement(one)))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[1,0],$fot(join(converse(sk1),meet(sk1,complement(one))))]]) ).
cnf(refute_0_2861,plain,
( one != join(meet(one,join(converse(sk1),meet(sk1,complement(one)))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| one = join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(converse(sk1),meet(sk1,complement(one)))),join(converse(sk1),meet(sk1,complement(one)))) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
one = join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(converse(sk1),meet(sk1,complement(one)))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2736,refute_0_2861]) ).
cnf(refute_0_2863,plain,
join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) = join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(sk1,complement(one)))),bind(C,$fot(meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))]]) ).
cnf(refute_0_2864,plain,
( join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))) != join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))
| one != join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| one = join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),[1],$fot(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))]]) ).
cnf(refute_0_2865,plain,
( one != join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))
| one = join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) )],[refute_0_2863,refute_0_2864]) ).
cnf(refute_0_2866,plain,
one = join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(join(converse(sk1),meet(sk1,complement(one))),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) )],[refute_0_2862,refute_0_2865]) ).
cnf(refute_0_2867,plain,
( one != join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))
| join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2868,plain,
join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) )],[refute_0_2866,refute_0_2867]) ).
cnf(refute_0_2869,plain,
( converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) != one
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2870,plain,
( converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),one) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))) )],[refute_0_2724,refute_0_2870]) ).
cnf(refute_0_2872,plain,
converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),
inference(subst,[],[refute_0_300:[bind(A,$fot(sk1)),bind(X_5,$fot(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))]]) ).
cnf(refute_0_2873,plain,
( converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) != join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))))),bind(Y,$fot(converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))))),bind(Z,$fot(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2874,plain,
( converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) != join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))) )],[refute_0_2724,refute_0_2873]) ).
cnf(refute_0_2875,plain,
converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) = join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))) )],[refute_0_2872,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(one)
| converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),converse(one)) ),[0],$fot(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2877,plain,
( converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(one)
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
( converse(one) != one
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) != converse(one)
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_2879,plain,
( join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) != converse(one)
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_2878]) ).
cnf(refute_0_2880,plain,
( converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))) != converse(one)
| join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),converse(one)) )],[refute_0_2877,refute_0_2879]) ).
cnf(refute_0_2881,plain,
join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))),converse(sk1))),converse(one)) )],[refute_0_2871,refute_0_2880]) ).
cnf(refute_0_2882,plain,
( join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))) != one
| top != converse(join(complement(composition(sk1,X_476)),composition(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),X_476)))
| top = converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(complement(composition(sk1,X_476)),composition(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),X_476)))) ),[1,0,1,0],$fot(one)]]) ).
cnf(refute_0_2883,plain,
( top != converse(join(complement(composition(sk1,X_476)),composition(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),X_476)))
| top = converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),one) )],[refute_0_2881,refute_0_2882]) ).
cnf(refute_0_2884,plain,
top = converse(join(complement(composition(sk1,X_476)),composition(one,X_476))),
inference(resolve,[$cnf( $equal(top,converse(join(complement(composition(sk1,X_476)),composition(join(sk1,converse(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),X_476)))) )],[refute_0_2723,refute_0_2883]) ).
cnf(refute_0_2885,plain,
composition(one,X_476) = X_476,
inference(subst,[],[refute_0_121:[bind(X_15,$fot(X_476))]]) ).
cnf(refute_0_2886,plain,
join(composition(one,X_476),complement(composition(sk1,X_476))) = join(composition(one,X_476),complement(composition(sk1,X_476))),
introduced(tautology,[refl,[$fot(join(composition(one,X_476),complement(composition(sk1,X_476))))]]) ).
cnf(refute_0_2887,plain,
( composition(one,X_476) != X_476
| join(composition(one,X_476),complement(composition(sk1,X_476))) != join(composition(one,X_476),complement(composition(sk1,X_476)))
| join(composition(one,X_476),complement(composition(sk1,X_476))) = join(X_476,complement(composition(sk1,X_476))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(one,X_476),complement(composition(sk1,X_476))),join(composition(one,X_476),complement(composition(sk1,X_476)))) ),[1,0],$fot(X_476)]]) ).
cnf(refute_0_2888,plain,
( composition(one,X_476) != X_476
| join(composition(one,X_476),complement(composition(sk1,X_476))) = join(X_476,complement(composition(sk1,X_476))) ),
inference(resolve,[$cnf( $equal(join(composition(one,X_476),complement(composition(sk1,X_476))),join(composition(one,X_476),complement(composition(sk1,X_476)))) )],[refute_0_2886,refute_0_2887]) ).
cnf(refute_0_2889,plain,
join(composition(one,X_476),complement(composition(sk1,X_476))) = join(X_476,complement(composition(sk1,X_476))),
inference(resolve,[$cnf( $equal(composition(one,X_476),X_476) )],[refute_0_2885,refute_0_2888]) ).
cnf(refute_0_2890,plain,
converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) = converse(join(composition(one,X_476),complement(composition(sk1,X_476)))),
introduced(tautology,[refl,[$fot(converse(join(composition(one,X_476),complement(composition(sk1,X_476)))))]]) ).
cnf(refute_0_2891,plain,
( converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) != converse(join(composition(one,X_476),complement(composition(sk1,X_476))))
| join(composition(one,X_476),complement(composition(sk1,X_476))) != join(X_476,complement(composition(sk1,X_476)))
| converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) = converse(join(X_476,complement(composition(sk1,X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(sk1,X_476)))),converse(join(composition(one,X_476),complement(composition(sk1,X_476))))) ),[1,0],$fot(join(X_476,complement(composition(sk1,X_476))))]]) ).
cnf(refute_0_2892,plain,
( join(composition(one,X_476),complement(composition(sk1,X_476))) != join(X_476,complement(composition(sk1,X_476)))
| converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) = converse(join(X_476,complement(composition(sk1,X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(sk1,X_476)))),converse(join(composition(one,X_476),complement(composition(sk1,X_476))))) )],[refute_0_2890,refute_0_2891]) ).
cnf(refute_0_2893,plain,
converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) = converse(join(X_476,complement(composition(sk1,X_476)))),
inference(resolve,[$cnf( $equal(join(composition(one,X_476),complement(composition(sk1,X_476))),join(X_476,complement(composition(sk1,X_476)))) )],[refute_0_2889,refute_0_2892]) ).
cnf(refute_0_2894,plain,
converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) = converse(join(composition(one,X_476),complement(composition(sk1,X_476)))),
inference(subst,[],[refute_0_293:[bind(A,$fot(complement(composition(sk1,X_476)))),bind(B,$fot(composition(one,X_476)))]]) ).
cnf(refute_0_2895,plain,
( converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) != converse(join(composition(one,X_476),complement(composition(sk1,X_476))))
| converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) != converse(join(X_476,complement(composition(sk1,X_476))))
| converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(sk1,X_476)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(composition(sk1,X_476)),composition(one,X_476))))),bind(Y,$fot(converse(join(composition(one,X_476),complement(composition(sk1,X_476)))))),bind(Z,$fot(converse(join(X_476,complement(composition(sk1,X_476))))))]]) ).
cnf(refute_0_2896,plain,
( converse(join(composition(one,X_476),complement(composition(sk1,X_476)))) != converse(join(X_476,complement(composition(sk1,X_476))))
| converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(sk1,X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(sk1,X_476)),composition(one,X_476))),converse(join(composition(one,X_476),complement(composition(sk1,X_476))))) )],[refute_0_2894,refute_0_2895]) ).
cnf(refute_0_2897,plain,
converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(sk1,X_476)))),
inference(resolve,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(sk1,X_476)))),converse(join(X_476,complement(composition(sk1,X_476))))) )],[refute_0_2893,refute_0_2896]) ).
cnf(refute_0_2898,plain,
( converse(join(complement(composition(sk1,X_476)),composition(one,X_476))) != converse(join(X_476,complement(composition(sk1,X_476))))
| top != converse(join(complement(composition(sk1,X_476)),composition(one,X_476)))
| top = converse(join(X_476,complement(composition(sk1,X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(complement(composition(sk1,X_476)),composition(one,X_476)))) ),[1],$fot(converse(join(X_476,complement(composition(sk1,X_476)))))]]) ).
cnf(refute_0_2899,plain,
( top != converse(join(complement(composition(sk1,X_476)),composition(one,X_476)))
| top = converse(join(X_476,complement(composition(sk1,X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(sk1,X_476)),composition(one,X_476))),converse(join(X_476,complement(composition(sk1,X_476))))) )],[refute_0_2897,refute_0_2898]) ).
cnf(refute_0_2900,plain,
top = converse(join(X_476,complement(composition(sk1,X_476)))),
inference(resolve,[$cnf( $equal(top,converse(join(complement(composition(sk1,X_476)),composition(one,X_476)))) )],[refute_0_2884,refute_0_2899]) ).
cnf(refute_0_2901,plain,
top = converse(join(X_477,complement(composition(sk1,X_477)))),
inference(subst,[],[refute_0_2900:[bind(X_476,$fot(X_477))]]) ).
cnf(refute_0_2902,plain,
( top != converse(join(X_477,complement(composition(sk1,X_477))))
| converse(join(X_477,complement(composition(sk1,X_477)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(X_477,complement(composition(sk1,X_477))))))]]) ).
cnf(refute_0_2903,plain,
converse(join(X_477,complement(composition(sk1,X_477)))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(X_477,complement(composition(sk1,X_477))))) )],[refute_0_2901,refute_0_2902]) ).
cnf(refute_0_2904,plain,
( converse(converse(join(X_477,complement(composition(sk1,X_477))))) != join(X_477,complement(composition(sk1,X_477)))
| converse(join(X_477,complement(composition(sk1,X_477)))) != top
| converse(top) = join(X_477,complement(composition(sk1,X_477))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_477,complement(composition(sk1,X_477))))),join(X_477,complement(composition(sk1,X_477)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2905,plain,
( converse(converse(join(X_477,complement(composition(sk1,X_477))))) != join(X_477,complement(composition(sk1,X_477)))
| converse(top) = join(X_477,complement(composition(sk1,X_477))) ),
inference(resolve,[$cnf( $equal(converse(join(X_477,complement(composition(sk1,X_477)))),top) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
converse(top) = join(X_477,complement(composition(sk1,X_477))),
inference(resolve,[$cnf( $equal(converse(converse(join(X_477,complement(composition(sk1,X_477))))),join(X_477,complement(composition(sk1,X_477)))) )],[refute_0_2708,refute_0_2905]) ).
cnf(refute_0_2907,plain,
( converse(top) != join(X_477,complement(composition(sk1,X_477)))
| converse(top) != top
| top = join(X_477,complement(composition(sk1,X_477))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_477,complement(composition(sk1,X_477)))) ),[0],$fot(top)]]) ).
cnf(refute_0_2908,plain,
( converse(top) != join(X_477,complement(composition(sk1,X_477)))
| top = join(X_477,complement(composition(sk1,X_477))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_2907]) ).
cnf(refute_0_2909,plain,
top = join(X_477,complement(composition(sk1,X_477))),
inference(resolve,[$cnf( $equal(converse(top),join(X_477,complement(composition(sk1,X_477)))) )],[refute_0_2906,refute_0_2908]) ).
cnf(refute_0_2910,plain,
top = join(one,complement(composition(sk1,one))),
inference(subst,[],[refute_0_2909:[bind(X_477,$fot(one))]]) ).
cnf(refute_0_2911,plain,
( top != join(one,complement(composition(sk1,one)))
| join(one,complement(composition(sk1,one))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(composition(sk1,one)))))]]) ).
cnf(refute_0_2912,plain,
join(one,complement(composition(sk1,one))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(composition(sk1,one)))) )],[refute_0_2910,refute_0_2911]) ).
cnf(refute_0_2913,plain,
( complement(join(one,complement(composition(sk1,one)))) != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| join(one,complement(composition(sk1,one))) != top
| complement(top) = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(composition(sk1,one)))),meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2914,plain,
( complement(join(one,complement(composition(sk1,one)))) != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| complement(top) = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(sk1,one))),top) )],[refute_0_2912,refute_0_2913]) ).
cnf(refute_0_2915,plain,
complement(top) = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(sk1,one)))),meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) )],[refute_0_2707,refute_0_2914]) ).
cnf(refute_0_2916,plain,
( complement(top) != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| complement(top) != zero
| zero = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2917,plain,
( complement(top) != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| zero = meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_2916]) ).
cnf(refute_0_2918,plain,
meet(complement(one),sk1) = meet(sk1,complement(one)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(sk1)),bind(X_27,$fot(complement(one)))]]) ).
cnf(refute_0_2919,plain,
composition(sk1,one) = sk1,
inference(subst,[],[composition_identity_6:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_2920,plain,
meet(complement(one),composition(sk1,one)) = meet(complement(one),composition(sk1,one)),
introduced(tautology,[refl,[$fot(meet(complement(one),composition(sk1,one)))]]) ).
cnf(refute_0_2921,plain,
( composition(sk1,one) != sk1
| meet(complement(one),composition(sk1,one)) != meet(complement(one),composition(sk1,one))
| meet(complement(one),composition(sk1,one)) = meet(complement(one),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(sk1,one)),meet(complement(one),composition(sk1,one))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_2922,plain,
( composition(sk1,one) != sk1
| meet(complement(one),composition(sk1,one)) = meet(complement(one),sk1) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(sk1,one)),meet(complement(one),composition(sk1,one))) )],[refute_0_2920,refute_0_2921]) ).
cnf(refute_0_2923,plain,
meet(complement(one),composition(sk1,one)) = meet(complement(one),sk1),
inference(resolve,[$cnf( $equal(composition(sk1,one),sk1) )],[refute_0_2919,refute_0_2922]) ).
cnf(refute_0_2924,plain,
( meet(complement(one),composition(sk1,one)) != meet(complement(one),sk1)
| meet(complement(one),sk1) != meet(sk1,complement(one))
| meet(complement(one),composition(sk1,one)) = meet(sk1,complement(one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(one),composition(sk1,one)))),bind(Y,$fot(meet(complement(one),sk1))),bind(Z,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_2925,plain,
( meet(complement(one),sk1) != meet(sk1,complement(one))
| meet(complement(one),composition(sk1,one)) = meet(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(sk1,one)),meet(complement(one),sk1)) )],[refute_0_2923,refute_0_2924]) ).
cnf(refute_0_2926,plain,
meet(complement(one),composition(sk1,one)) = meet(sk1,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),sk1),meet(sk1,complement(one))) )],[refute_0_2918,refute_0_2925]) ).
cnf(refute_0_2927,plain,
complement(join(one,complement(composition(sk1,one)))) = meet(complement(one),composition(sk1,one)),
inference(subst,[],[refute_0_638:[bind(B,$fot(composition(sk1,one))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_2928,plain,
( complement(join(one,X_177)) != meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))
| meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) = complement(join(one,X_177)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(one,X_177)))),bind(Y,$fot(meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))))]]) ).
cnf(refute_0_2929,plain,
meet(complement(join(one,X_177)),join(one,complement(join(X_177,one)))) = complement(join(one,X_177)),
inference(resolve,[$cnf( $equal(complement(join(one,X_177)),meet(complement(join(one,X_177)),join(one,complement(join(X_177,one))))) )],[refute_0_2706,refute_0_2928]) ).
cnf(refute_0_2930,plain,
meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = complement(join(one,complement(composition(sk1,one)))),
inference(subst,[],[refute_0_2929:[bind(X_177,$fot(complement(composition(sk1,one))))]]) ).
cnf(refute_0_2931,plain,
( complement(join(one,complement(composition(sk1,one)))) != meet(complement(one),composition(sk1,one))
| meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) != complement(join(one,complement(composition(sk1,one))))
| meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(complement(one),composition(sk1,one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))))),bind(Y,$fot(complement(join(one,complement(composition(sk1,one)))))),bind(Z,$fot(meet(complement(one),composition(sk1,one))))]]) ).
cnf(refute_0_2932,plain,
( complement(join(one,complement(composition(sk1,one)))) != meet(complement(one),composition(sk1,one))
| meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(complement(one),composition(sk1,one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))),complement(join(one,complement(composition(sk1,one))))) )],[refute_0_2930,refute_0_2931]) ).
cnf(refute_0_2933,plain,
meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(complement(one),composition(sk1,one)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(sk1,one)))),meet(complement(one),composition(sk1,one))) )],[refute_0_2927,refute_0_2932]) ).
cnf(refute_0_2934,plain,
( meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) != meet(complement(one),composition(sk1,one))
| meet(complement(one),composition(sk1,one)) != meet(sk1,complement(one))
| meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(sk1,complement(one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))))),bind(Y,$fot(meet(complement(one),composition(sk1,one)))),bind(Z,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_2935,plain,
( meet(complement(one),composition(sk1,one)) != meet(sk1,complement(one))
| meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))),meet(complement(one),composition(sk1,one))) )],[refute_0_2933,refute_0_2934]) ).
cnf(refute_0_2936,plain,
meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) = meet(sk1,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(sk1,one)),meet(sk1,complement(one))) )],[refute_0_2926,refute_0_2935]) ).
cnf(refute_0_2937,plain,
( meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))) != meet(sk1,complement(one))
| zero != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| zero = meet(sk1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) ),[1],$fot(meet(sk1,complement(one)))]]) ).
cnf(refute_0_2938,plain,
( zero != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| zero = meet(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one)))),meet(sk1,complement(one))) )],[refute_0_2936,refute_0_2937]) ).
cnf(refute_0_2939,plain,
( complement(top) != meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))
| zero = meet(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(zero,meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) )],[refute_0_2917,refute_0_2938]) ).
cnf(refute_0_2940,plain,
zero = meet(sk1,complement(one)),
inference(resolve,[$cnf( $equal(complement(top),meet(complement(join(one,complement(composition(sk1,one)))),join(one,complement(join(complement(composition(sk1,one)),one))))) )],[refute_0_2915,refute_0_2939]) ).
cnf(refute_0_2941,plain,
( zero != meet(sk1,complement(one))
| meet(sk1,complement(one)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_2942,plain,
meet(sk1,complement(one)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(sk1,complement(one))) )],[refute_0_2940,refute_0_2941]) ).
cnf(refute_0_2943,plain,
( complement(one) != meet(complement(one),join(complement(sk1),meet(sk1,complement(one))))
| meet(sk1,complement(one)) != zero
| complement(one) = meet(complement(one),join(complement(sk1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),meet(sk1,complement(one))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_2944,plain,
( complement(one) != meet(complement(one),join(complement(sk1),meet(sk1,complement(one))))
| complement(one) = meet(complement(one),join(complement(sk1),zero)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(one)),zero) )],[refute_0_2942,refute_0_2943]) ).
cnf(refute_0_2945,plain,
complement(one) = meet(complement(one),join(complement(sk1),zero)),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),meet(sk1,complement(one))))) )],[refute_0_2417,refute_0_2944]) ).
cnf(refute_0_2946,plain,
join(zero,complement(sk1)) = complement(sk1),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(sk1)))]]) ).
cnf(refute_0_2947,plain,
join(complement(sk1),zero) = join(zero,complement(sk1)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(complement(sk1)))]]) ).
cnf(refute_0_2948,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,$fot(complement(sk1)))]]) ).
cnf(refute_0_2949,plain,
( join(zero,complement(sk1)) != complement(sk1)
| join(complement(sk1),zero) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),join(zero,complement(sk1))) )],[refute_0_2947,refute_0_2948]) ).
cnf(refute_0_2950,plain,
join(complement(sk1),zero) = complement(sk1),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_2946,refute_0_2949]) ).
cnf(refute_0_2951,plain,
meet(complement(one),join(complement(sk1),zero)) = meet(complement(one),join(complement(sk1),zero)),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(sk1),zero)))]]) ).
cnf(refute_0_2952,plain,
( join(complement(sk1),zero) != complement(sk1)
| meet(complement(one),join(complement(sk1),zero)) != meet(complement(one),join(complement(sk1),zero))
| meet(complement(one),join(complement(sk1),zero)) = meet(complement(one),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(sk1),zero)),meet(complement(one),join(complement(sk1),zero))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2953,plain,
( join(complement(sk1),zero) != complement(sk1)
| meet(complement(one),join(complement(sk1),zero)) = meet(complement(one),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(sk1),zero)),meet(complement(one),join(complement(sk1),zero))) )],[refute_0_2951,refute_0_2952]) ).
cnf(refute_0_2954,plain,
meet(complement(one),join(complement(sk1),zero)) = meet(complement(one),complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),complement(sk1)) )],[refute_0_2950,refute_0_2953]) ).
cnf(refute_0_2955,plain,
( complement(one) != meet(complement(one),join(complement(sk1),zero))
| meet(complement(one),join(complement(sk1),zero)) != meet(complement(one),complement(sk1))
| complement(one) = meet(complement(one),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(sk1))) ),[0],$fot(meet(complement(one),join(complement(sk1),zero)))]]) ).
cnf(refute_0_2956,plain,
( complement(one) != meet(complement(one),join(complement(sk1),zero))
| complement(one) = meet(complement(one),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(sk1),zero)),meet(complement(one),complement(sk1))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
complement(one) = meet(complement(one),complement(sk1)),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),zero))) )],[refute_0_2945,refute_0_2956]) ).
cnf(refute_0_2958,plain,
( complement(one) != meet(complement(one),complement(sk1))
| meet(complement(one),complement(sk1)) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(sk1))))]]) ).
cnf(refute_0_2959,plain,
meet(complement(one),complement(sk1)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(sk1))) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
( complement(sk1) != join(meet(complement(one),complement(sk1)),meet(complement(complement(one)),complement(sk1)))
| meet(complement(one),complement(sk1)) != complement(one)
| complement(sk1) = join(complement(one),meet(complement(complement(one)),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(one),complement(sk1)),meet(complement(complement(one)),complement(sk1)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2961,plain,
( complement(sk1) != join(meet(complement(one),complement(sk1)),meet(complement(complement(one)),complement(sk1)))
| complement(sk1) = join(complement(one),meet(complement(complement(one)),complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(sk1)),complement(one)) )],[refute_0_2959,refute_0_2960]) ).
cnf(refute_0_2962,plain,
complement(sk1) = join(complement(one),meet(complement(complement(one)),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(one),complement(sk1)),meet(complement(complement(one)),complement(sk1)))) )],[refute_0_2416,refute_0_2961]) ).
cnf(refute_0_2963,plain,
meet(complement(sk1),complement(complement(one))) = meet(complement(sk1),complement(complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),complement(complement(one))))]]) ).
cnf(refute_0_2964,plain,
( complement(complement(one)) != one
| meet(complement(sk1),complement(complement(one))) != meet(complement(sk1),complement(complement(one)))
| meet(complement(sk1),complement(complement(one))) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),complement(complement(one))),meet(complement(sk1),complement(complement(one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2965,plain,
( complement(complement(one)) != one
| meet(complement(sk1),complement(complement(one))) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(complement(one))),meet(complement(sk1),complement(complement(one)))) )],[refute_0_2963,refute_0_2964]) ).
cnf(refute_0_2966,plain,
meet(complement(sk1),complement(complement(one))) = meet(complement(sk1),one),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_2965]) ).
cnf(refute_0_2967,plain,
( meet(complement(sk1),complement(complement(one))) != meet(complement(sk1),one)
| meet(complement(sk1),one) != meet(one,complement(sk1))
| meet(complement(sk1),complement(complement(one))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk1),complement(complement(one))))),bind(Y,$fot(meet(complement(sk1),one))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2968,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| meet(complement(sk1),complement(complement(one))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(complement(one))),meet(complement(sk1),one)) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
meet(complement(sk1),complement(complement(one))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_1699,refute_0_2968]) ).
cnf(refute_0_2970,plain,
meet(complement(complement(one)),complement(sk1)) = meet(complement(sk1),complement(complement(one))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(complement(sk1))),bind(X_27,$fot(complement(complement(one))))]]) ).
cnf(refute_0_2971,plain,
( meet(complement(complement(one)),complement(sk1)) != meet(complement(sk1),complement(complement(one)))
| meet(complement(sk1),complement(complement(one))) != meet(one,complement(sk1))
| meet(complement(complement(one)),complement(sk1)) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(complement(one)),complement(sk1)))),bind(Y,$fot(meet(complement(sk1),complement(complement(one))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2972,plain,
( meet(complement(sk1),complement(complement(one))) != meet(one,complement(sk1))
| meet(complement(complement(one)),complement(sk1)) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(sk1)),meet(complement(sk1),complement(complement(one)))) )],[refute_0_2970,refute_0_2971]) ).
cnf(refute_0_2973,plain,
meet(complement(complement(one)),complement(sk1)) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(complement(one))),meet(one,complement(sk1))) )],[refute_0_2969,refute_0_2972]) ).
cnf(refute_0_2974,plain,
join(complement(one),meet(complement(complement(one)),complement(sk1))) = join(complement(one),meet(complement(complement(one)),complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),complement(sk1))))]]) ).
cnf(refute_0_2975,plain,
( join(complement(one),meet(complement(complement(one)),complement(sk1))) != join(complement(one),meet(complement(complement(one)),complement(sk1)))
| meet(complement(complement(one)),complement(sk1)) != meet(one,complement(sk1))
| join(complement(one),meet(complement(complement(one)),complement(sk1))) = join(complement(one),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(sk1))),join(complement(one),meet(complement(complement(one)),complement(sk1)))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2976,plain,
( meet(complement(complement(one)),complement(sk1)) != meet(one,complement(sk1))
| join(complement(one),meet(complement(complement(one)),complement(sk1))) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(sk1))),join(complement(one),meet(complement(complement(one)),complement(sk1)))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
join(complement(one),meet(complement(complement(one)),complement(sk1))) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(sk1)),meet(one,complement(sk1))) )],[refute_0_2973,refute_0_2976]) ).
cnf(refute_0_2978,plain,
( complement(sk1) != join(complement(one),meet(complement(complement(one)),complement(sk1)))
| join(complement(one),meet(complement(complement(one)),complement(sk1))) != join(complement(one),meet(one,complement(sk1)))
| complement(sk1) = join(complement(one),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),join(complement(one),meet(one,complement(sk1)))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),complement(sk1))))]]) ).
cnf(refute_0_2979,plain,
( complement(sk1) != join(complement(one),meet(complement(complement(one)),complement(sk1)))
| complement(sk1) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(sk1))),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
complement(sk1) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(one),meet(complement(complement(one)),complement(sk1)))) )],[refute_0_2962,refute_0_2979]) ).
cnf(refute_0_2981,plain,
( complement(sk1) != join(complement(one),meet(one,complement(sk1)))
| join(complement(one),meet(one,complement(sk1))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2982,plain,
join(complement(one),meet(one,complement(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
( join(complement(one),join(X_50,meet(one,complement(sk1)))) != join(X_50,join(complement(one),meet(one,complement(sk1))))
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(complement(one),join(X_50,meet(one,complement(sk1)))) = join(X_50,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_50,meet(one,complement(sk1)))),join(X_50,join(complement(one),meet(one,complement(sk1))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2984,plain,
( join(complement(one),join(X_50,meet(one,complement(sk1)))) != join(X_50,join(complement(one),meet(one,complement(sk1))))
| join(complement(one),join(X_50,meet(one,complement(sk1)))) = join(X_50,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
join(complement(one),join(X_50,meet(one,complement(sk1)))) = join(X_50,complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_50,meet(one,complement(sk1)))),join(X_50,join(complement(one),meet(one,complement(sk1))))) )],[refute_0_2415,refute_0_2984]) ).
cnf(refute_0_2986,plain,
join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),complement(sk1)),
inference(subst,[],[refute_0_2985:[bind(X_50,$fot(converse(sk1)))]]) ).
cnf(refute_0_2987,plain,
( join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),complement(sk1))
| join(converse(sk1),complement(sk1)) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))),bind(Y,$fot(join(converse(sk1),complement(sk1)))),bind(Z,$fot(join(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_2988,plain,
( join(converse(sk1),complement(sk1)) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),join(converse(sk1),complement(sk1))) )],[refute_0_2986,refute_0_2987]) ).
cnf(refute_0_2989,plain,
join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(sk1)),join(complement(sk1),converse(sk1))) )],[refute_0_2414,refute_0_2988]) ).
cnf(refute_0_2990,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2991,plain,
( join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(complement(sk1),converse(sk1))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))) ),[1,1],$fot(join(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_2992,plain,
( join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(complement(sk1),converse(sk1))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),join(complement(sk1),converse(sk1))) )],[refute_0_2989,refute_0_2992]) ).
cnf(refute_0_2994,plain,
( meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1)))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))) != meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))))),bind(Y,$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))))),bind(Z,$fot(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2995,plain,
( meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))) != meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1)))) )],[refute_0_2993,refute_0_2994]) ).
cnf(refute_0_2996,plain,
meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(sk1),converse(sk1))),meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2413,refute_0_2995]) ).
cnf(refute_0_2997,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))
| meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) != meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))) ),[0],$fot(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2998,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))
| join(converse(sk1),meet(one,complement(sk1))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))),meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2996,refute_0_2997]) ).
cnf(refute_0_2999,plain,
join(converse(sk1),meet(one,complement(sk1))) = meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(converse(sk1),meet(one,complement(sk1))),join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_2412,refute_0_2998]) ).
cnf(refute_0_3000,plain,
( join(converse(sk1),meet(one,complement(sk1))) != meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))
| meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(sk1),meet(one,complement(sk1))))),bind(Y,$fot(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3001,plain,
meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_2999,refute_0_3000]) ).
cnf(refute_0_3002,plain,
( join(join(complement(sk1),converse(sk1)),complement(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))))) != top
| meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),meet(one,complement(sk1)))
| join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(sk1),converse(sk1)),complement(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))))),top) ),[0,1,0],$fot(join(converse(sk1),meet(one,complement(sk1))))]]) ).
cnf(refute_0_3003,plain,
( join(join(complement(sk1),converse(sk1)),complement(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))))) != top
| join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))),join(converse(sk1),meet(one,complement(sk1)))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(sk1),converse(sk1)),complement(meet(join(complement(sk1),converse(sk1)),join(converse(sk1),meet(one,complement(sk1)))))),top) )],[refute_0_979,refute_0_3003]) ).
cnf(refute_0_3005,plain,
join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) = join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_33:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(sk1))),bind(C,$fot(complement(join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3006,plain,
( join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) != join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))
| join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) != top
| join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))),top) ),[0],$fot(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3007,plain,
( join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))) != top
| join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))),join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(sk1),converse(sk1)),complement(join(converse(sk1),meet(one,complement(sk1))))),top) )],[refute_0_3004,refute_0_3007]) ).
cnf(refute_0_3009,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) != top
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3010,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),top) )],[refute_0_3008,refute_0_3009]) ).
cnf(refute_0_3011,plain,
converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_295,refute_0_3010]) ).
cnf(refute_0_3012,plain,
converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_901:[bind(A,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3013,plain,
join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))) = complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
inference(subst,[],[refute_0_866:[bind(A,$fot(sk1)),bind(B,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3014,plain,
converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3015,plain,
( converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) != converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))
| join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))) != complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) ),[1,0],$fot(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3016,plain,
( join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))) != complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3014,refute_0_3015]) ).
cnf(refute_0_3017,plain,
converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3013,refute_0_3016]) ).
cnf(refute_0_3018,plain,
( converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) != complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) != converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))),bind(Y,$fot(converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))),bind(Z,$fot(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3019,plain,
( converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) != complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3017,refute_0_3018]) ).
cnf(refute_0_3020,plain,
converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) = complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3012,refute_0_3019]) ).
cnf(refute_0_3021,plain,
join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) = join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3022,plain,
( converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) != complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) != join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) ),[1,1],$fot(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3023,plain,
( converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))) != complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_3021,refute_0_3022]) ).
cnf(refute_0_3024,plain,
join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))),complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3020,refute_0_3023]) ).
cnf(refute_0_3025,plain,
converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) = join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_998:[bind(A,$fot(sk1)),bind(X_63,$fot(complement(join(converse(sk1),meet(one,complement(sk1)))))),bind(X_65,$fot(complement(sk1)))]]) ).
cnf(refute_0_3026,plain,
( converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) != join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))))),bind(Y,$fot(converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))))),bind(Z,$fot(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3027,plain,
( converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) != join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_295,refute_0_3026]) ).
cnf(refute_0_3028,plain,
converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_3025,refute_0_3027]) ).
cnf(refute_0_3029,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))
| join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) != join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))))),bind(Y,$fot(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))))),bind(Z,$fot(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3030,plain,
( join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))) != join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) = join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))))),join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_3024,refute_0_3030]) ).
cnf(refute_0_3032,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(top)
| converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),converse(top)) ),[0],$fot(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3033,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(top)
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_3031,refute_0_3032]) ).
cnf(refute_0_3034,plain,
( converse(top) != top
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) != converse(top)
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3035,plain,
( join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) != converse(top)
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_3034]) ).
cnf(refute_0_3036,plain,
( converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))) != converse(top)
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),converse(top)) )],[refute_0_3033,refute_0_3035]) ).
cnf(refute_0_3037,plain,
join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(join(converse(sk1),meet(one,complement(sk1))))),complement(sk1))),converse(top)) )],[refute_0_3011,refute_0_3036]) ).
cnf(refute_0_3038,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != converse(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))
| join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) != top
| converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),converse(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3039,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != converse(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))
| converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),top) )],[refute_0_3037,refute_0_3038]) ).
cnf(refute_0_3040,plain,
converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),converse(join(sk1,complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))) )],[refute_0_294,refute_0_3039]) ).
cnf(refute_0_3041,plain,
join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)) = join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(converse(sk1))),bind(X_49,$fot(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3042,plain,
converse(join(converse(complement(X_446)),X_5)) = join(complement(X_446),converse(X_5)),
inference(subst,[],[refute_0_300:[bind(A,$fot(complement(X_446)))]]) ).
cnf(refute_0_3043,plain,
( converse(complement(X_446)) != complement(converse(X_446))
| converse(join(converse(complement(X_446)),X_5)) != join(complement(X_446),converse(X_5))
| converse(join(complement(converse(X_446)),X_5)) = join(complement(X_446),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_446)),X_5)),join(complement(X_446),converse(X_5))) ),[0,0,0],$fot(complement(converse(X_446)))]]) ).
cnf(refute_0_3044,plain,
( converse(join(converse(complement(X_446)),X_5)) != join(complement(X_446),converse(X_5))
| converse(join(complement(converse(X_446)),X_5)) = join(complement(X_446),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_446)),complement(converse(X_446))) )],[refute_0_2692,refute_0_3043]) ).
cnf(refute_0_3045,plain,
converse(join(complement(converse(X_446)),X_5)) = join(complement(X_446),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_446)),X_5)),join(complement(X_446),converse(X_5))) )],[refute_0_3042,refute_0_3044]) ).
cnf(refute_0_3046,plain,
converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)),
inference(subst,[],[refute_0_3045:[bind(X_446,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),bind(X_5,$fot(sk1))]]) ).
cnf(refute_0_3047,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1))
| join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)) != join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)))),bind(Y,$fot(join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)))),bind(Z,$fot(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3048,plain,
( join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)) != join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) = join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)),join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3041,refute_0_3048]) ).
cnf(refute_0_3050,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != converse(top)
| converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),converse(top)) ),[0],$fot(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3051,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != converse(top)
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))) )],[refute_0_3049,refute_0_3050]) ).
cnf(refute_0_3052,plain,
( converse(top) != top
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) != converse(top)
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3053,plain,
( join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) != converse(top)
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_3052]) ).
cnf(refute_0_3054,plain,
( converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)) != converse(top)
| join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),converse(top)) )],[refute_0_3051,refute_0_3053]) ).
cnf(refute_0_3055,plain,
join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(converse(join(complement(converse(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),sk1)),converse(top)) )],[refute_0_3040,refute_0_3054]) ).
cnf(refute_0_3056,plain,
( join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) != top
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != complement(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),complement(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3057,plain,
( meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != complement(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),top) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),complement(join(converse(sk1),complement(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_283,refute_0_3057]) ).
cnf(refute_0_3059,plain,
( complement(top) != zero
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != complement(top)
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3060,plain,
( meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != complement(top)
| meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_3059]) ).
cnf(refute_0_3061,plain,
meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),complement(top)) )],[refute_0_3058,refute_0_3060]) ).
cnf(refute_0_3062,plain,
( meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != zero
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_3063,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),zero) )],[refute_0_3061,refute_0_3062]) ).
cnf(refute_0_3064,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),meet(complement(converse(sk1)),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))) )],[refute_0_239,refute_0_3063]) ).
cnf(refute_0_3065,plain,
complement(complement(converse(sk1))) = converse(sk1),
inference(subst,[],[refute_0_710:[bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_3066,plain,
join(zero,complement(complement(converse(sk1)))) = complement(complement(converse(sk1))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_3067,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| join(zero,complement(complement(converse(sk1)))) != complement(complement(converse(sk1)))
| join(zero,complement(complement(converse(sk1)))) = converse(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(complement(converse(sk1)))))),bind(Y,$fot(complement(complement(converse(sk1))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_3068,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| join(zero,complement(complement(converse(sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(converse(sk1)))),complement(complement(converse(sk1)))) )],[refute_0_3066,refute_0_3067]) ).
cnf(refute_0_3069,plain,
join(zero,complement(complement(converse(sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3065,refute_0_3068]) ).
cnf(refute_0_3070,plain,
join(complement(complement(converse(sk1))),zero) = join(zero,complement(complement(converse(sk1)))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_3071,plain,
( join(complement(complement(converse(sk1))),zero) != join(zero,complement(complement(converse(sk1))))
| join(zero,complement(complement(converse(sk1)))) != converse(sk1)
| join(complement(complement(converse(sk1))),zero) = converse(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(converse(sk1))),zero))),bind(Y,$fot(join(zero,complement(complement(converse(sk1)))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_3072,plain,
( join(zero,complement(complement(converse(sk1)))) != converse(sk1)
| join(complement(complement(converse(sk1))),zero) = converse(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),zero),join(zero,complement(complement(converse(sk1))))) )],[refute_0_3070,refute_0_3071]) ).
cnf(refute_0_3073,plain,
join(complement(complement(converse(sk1))),zero) = converse(sk1),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(converse(sk1)))),converse(sk1)) )],[refute_0_3069,refute_0_3072]) ).
cnf(refute_0_3074,plain,
meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3075,plain,
( join(complement(complement(converse(sk1))),zero) != converse(sk1)
| meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_3076,plain,
( join(complement(complement(converse(sk1))),zero) != converse(sk1)
| meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3074,refute_0_3075]) ).
cnf(refute_0_3077,plain,
meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),zero),converse(sk1)) )],[refute_0_3073,refute_0_3076]) ).
cnf(refute_0_3078,plain,
meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) = meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(join(complement(complement(converse(sk1))),zero))),bind(X_27,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3079,plain,
( meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) != meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)))),bind(Y,$fot(meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),bind(Z,$fot(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3080,plain,
( meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)),meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3078,refute_0_3079]) ).
cnf(refute_0_3081,plain,
meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(converse(sk1))),zero),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3077,refute_0_3080]) ).
cnf(refute_0_3082,plain,
( meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero))) ),[1],$fot(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3083,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero)),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3081,refute_0_3082]) ).
cnf(refute_0_3084,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),join(complement(complement(converse(sk1))),zero))) )],[refute_0_3064,refute_0_3083]) ).
cnf(refute_0_3085,plain,
( meet(one,sk1) != sk1
| meet(sk1,one) != meet(one,sk1)
| meet(sk1,one) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(sk1,one))),bind(Y,$fot(meet(one,sk1))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_3086,plain,
( meet(one,sk1) != sk1
| meet(sk1,one) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,one),meet(one,sk1)) )],[refute_0_1668,refute_0_3085]) ).
cnf(refute_0_3087,plain,
meet(sk1,one) = sk1,
inference(resolve,[$cnf( $equal(meet(one,sk1),sk1) )],[refute_0_1695,refute_0_3086]) ).
cnf(refute_0_3088,plain,
converse(complement(join(sk1,converse(sk1)))) = complement(converse(join(sk1,converse(sk1)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_3089,plain,
complement(sk1) = join(meet(complement(sk1),converse(sk1)),meet(complement(sk1),complement(converse(sk1)))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(converse(sk1))),bind(X_87,$fot(complement(sk1)))]]) ).
cnf(refute_0_3090,plain,
meet(complement(sk1),converse(sk1)) = complement(join(sk1,complement(converse(sk1)))),
inference(subst,[],[refute_0_282:[bind(B,$fot(converse(sk1))),bind(X_31,$fot(sk1))]]) ).
cnf(refute_0_3091,plain,
join(sk1,complement(converse(sk1))) = join(meet(complement(one),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(complement(one))),bind(X_99,$fot(join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_3092,plain,
complement(one) = meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_2277:[bind(X_50,$fot(join(sk1,converse(meet(one,complement(sk1)))))),bind(X_87,$fot(complement(one)))]]) ).
cnf(refute_0_3093,plain,
complement(one) = join(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(join(sk1,converse(meet(one,complement(sk1)))))),bind(X_87,$fot(complement(one)))]]) ).
cnf(refute_0_3094,plain,
complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))),
inference(subst,[],[refute_0_2706:[bind(X_177,$fot(complement(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3095,plain,
converse(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3096,plain,
( converse(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != top
| converse(top) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3097,plain,
( converse(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| converse(top) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),top) )],[refute_0_2048,refute_0_3096]) ).
cnf(refute_0_3098,plain,
converse(top) = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_3095,refute_0_3097]) ).
cnf(refute_0_3099,plain,
( converse(top) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| converse(top) != top
| top = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3100,plain,
( converse(top) != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| top = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_3099]) ).
cnf(refute_0_3101,plain,
top = join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_3098,refute_0_3100]) ).
cnf(refute_0_3102,plain,
( top != join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))
| join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3103,plain,
join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_3101,refute_0_3102]) ).
cnf(refute_0_3104,plain,
( complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) != top
| complement(top) = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3105,plain,
( complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| complement(top) = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
complement(top) = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) )],[refute_0_3094,refute_0_3105]) ).
cnf(refute_0_3107,plain,
( complement(top) != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| complement(top) != zero
| zero = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3108,plain,
( complement(top) != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| zero = meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_3107]) ).
cnf(refute_0_3109,plain,
complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_638:[bind(B,$fot(join(sk1,converse(meet(one,complement(sk1)))))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_3110,plain,
meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) = complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_2929:[bind(X_177,$fot(complement(join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3111,plain,
( complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))
| meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) != complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))
| meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))))),bind(Y,$fot(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))),bind(Z,$fot(meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3112,plain,
( complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))) != meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))
| meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))),complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))) )],[refute_0_3110,refute_0_3111]) ).
cnf(refute_0_3113,plain,
meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3109,refute_0_3112]) ).
cnf(refute_0_3114,plain,
( meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))) != meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))
| zero != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| zero = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) ),[1],$fot(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3115,plain,
( zero != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| zero = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one)))),meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
( complement(top) != meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))
| zero = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(zero,meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) )],[refute_0_3108,refute_0_3115]) ).
cnf(refute_0_3117,plain,
zero = meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(top),meet(complement(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))),join(one,complement(join(complement(join(sk1,converse(meet(one,complement(sk1))))),one))))) )],[refute_0_3106,refute_0_3116]) ).
cnf(refute_0_3118,plain,
( zero != meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))
| meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3119,plain,
meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3117,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( complement(one) != join(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))
| meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))) != zero
| complement(one) = join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3121,plain,
( complement(one) != join(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))
| complement(one) = join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),zero) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
complement(one) = join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),join(sk1,converse(meet(one,complement(sk1))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))) )],[refute_0_3093,refute_0_3121]) ).
cnf(refute_0_3123,plain,
join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) = meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3124,plain,
( complement(one) != join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))
| join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) != meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))
| complement(one) = meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) ),[0],$fot(join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3125,plain,
( complement(one) != join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))
| complement(one) = meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_3123,refute_0_3124]) ).
cnf(refute_0_3126,plain,
complement(one) = meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(one),join(zero,meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))))) )],[refute_0_3122,refute_0_3125]) ).
cnf(refute_0_3127,plain,
( complement(one) != meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))
| meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3128,plain,
meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))) )],[refute_0_3126,refute_0_3127]) ).
cnf(refute_0_3129,plain,
( complement(one) != meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))
| meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))) != complement(one)
| complement(one) = meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))) ),[1,1,1],$fot(complement(one))]]) ).
cnf(refute_0_3130,plain,
( complement(one) != meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))
| complement(one) = meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1)))))),complement(one)) )],[refute_0_3128,refute_0_3129]) ).
cnf(refute_0_3131,plain,
complement(one) = meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),meet(complement(one),complement(join(sk1,converse(meet(one,complement(sk1))))))))) )],[refute_0_3092,refute_0_3130]) ).
cnf(refute_0_3132,plain,
converse(complement(sk1)) = complement(converse(sk1)),
inference(subst,[],[refute_0_901:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3133,plain,
converse(join(complement(one),meet(one,complement(sk1)))) = converse(join(complement(one),meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3134,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_3135,plain,
( join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2982,refute_0_3135]) ).
cnf(refute_0_3137,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(join(complement(one),meet(one,complement(sk1)))) != converse(complement(sk1))
| converse(join(complement(one),meet(one,complement(sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(one),meet(one,complement(sk1)))))),bind(Y,$fot(converse(complement(sk1)))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_3138,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(join(complement(one),meet(one,complement(sk1)))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(complement(sk1))) )],[refute_0_3136,refute_0_3137]) ).
cnf(refute_0_3139,plain,
converse(join(complement(one),meet(one,complement(sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_3132,refute_0_3138]) ).
cnf(refute_0_3140,plain,
converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(X_11,join(complement(one),meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_599:[bind(B,$fot(meet(one,converse(complement(one))))),bind(X_10,$fot(complement(one)))]]) ).
cnf(refute_0_3141,plain,
converse(complement(one)) = join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one)))),
inference(subst,[],[refute_0_2242:[bind(X_87,$fot(converse(complement(one)))),bind(X_88,$fot(complement(one)))]]) ).
cnf(refute_0_3142,plain,
complement(X_96) = meet(complement(X_96),converse(complement(converse(complement(complement(X_96)))))),
inference(subst,[],[refute_0_690:[bind(X_87,$fot(complement(X_96)))]]) ).
cnf(refute_0_3143,plain,
X_96 = complement(complement(X_96)),
inference(subst,[],[refute_0_708:[bind(B,$fot(X_96))]]) ).
cnf(refute_0_3144,plain,
( X_96 != complement(complement(X_96))
| complement(complement(X_96)) = X_96 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_96)),bind(Y,$fot(complement(complement(X_96))))]]) ).
cnf(refute_0_3145,plain,
complement(complement(X_96)) = X_96,
inference(resolve,[$cnf( $equal(X_96,complement(complement(X_96))) )],[refute_0_3143,refute_0_3144]) ).
cnf(refute_0_3146,plain,
( complement(X_96) != meet(complement(X_96),converse(complement(converse(complement(complement(X_96))))))
| complement(complement(X_96)) != X_96
| complement(X_96) = meet(complement(X_96),converse(complement(converse(X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_96),meet(complement(X_96),converse(complement(converse(complement(complement(X_96))))))) ),[1,1,0,0,0],$fot(X_96)]]) ).
cnf(refute_0_3147,plain,
( complement(X_96) != meet(complement(X_96),converse(complement(converse(complement(complement(X_96))))))
| complement(X_96) = meet(complement(X_96),converse(complement(converse(X_96)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_96)),X_96) )],[refute_0_3145,refute_0_3146]) ).
cnf(refute_0_3148,plain,
complement(X_96) = meet(complement(X_96),converse(complement(converse(X_96)))),
inference(resolve,[$cnf( $equal(complement(X_96),meet(complement(X_96),converse(complement(converse(complement(complement(X_96))))))) )],[refute_0_3142,refute_0_3147]) ).
cnf(refute_0_3149,plain,
complement(one) = meet(complement(one),converse(complement(converse(one)))),
inference(subst,[],[refute_0_3148:[bind(X_96,$fot(one))]]) ).
cnf(refute_0_3150,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| converse(one) != one
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) ),[1,1,0,0],$fot(one)]]) ).
cnf(refute_0_3151,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_3150]) ).
cnf(refute_0_3152,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) )],[refute_0_3149,refute_0_3151]) ).
cnf(refute_0_3153,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3154,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_3152,refute_0_3153]) ).
cnf(refute_0_3155,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3156,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_3154,refute_0_3155]) ).
cnf(refute_0_3157,plain,
converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_3141,refute_0_3156]) ).
cnf(refute_0_3158,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(complement(complement(one)),converse(complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(complement(one))))]]) ).
cnf(refute_0_3159,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) != meet(complement(complement(one)),converse(complement(one)))
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3160,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) )],[refute_0_3158,refute_0_3159]) ).
cnf(refute_0_3161,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_3160]) ).
cnf(refute_0_3162,plain,
meet(converse(complement(one)),complement(complement(one))) = meet(complement(complement(one)),converse(complement(one))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(complement(complement(one)))),bind(X_27,$fot(converse(complement(one))))]]) ).
cnf(refute_0_3163,plain,
( meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) != meet(complement(complement(one)),converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(one)),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),converse(complement(one))))),bind(Z,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3164,plain,
( meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(complement(one))),meet(complement(complement(one)),converse(complement(one)))) )],[refute_0_3162,refute_0_3163]) ).
cnf(refute_0_3165,plain,
meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_3161,refute_0_3164]) ).
cnf(refute_0_3166,plain,
join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(one)),complement(complement(one)))))]]) ).
cnf(refute_0_3167,plain,
( join(complement(one),meet(converse(complement(one)),complement(complement(one)))) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| meet(converse(complement(one)),complement(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_3168,plain,
( meet(converse(complement(one)),complement(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_3166,refute_0_3167]) ).
cnf(refute_0_3169,plain,
join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_3165,refute_0_3168]) ).
cnf(refute_0_3170,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) ),[0],$fot(join(complement(one),meet(converse(complement(one)),complement(complement(one)))))]]) ).
cnf(refute_0_3171,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3169,refute_0_3170]) ).
cnf(refute_0_3172,plain,
converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_3157,refute_0_3171]) ).
cnf(refute_0_3173,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3174,plain,
join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3172,refute_0_3173]) ).
cnf(refute_0_3175,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(X_11,join(complement(one),meet(one,converse(complement(one))))))
| join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(X_11,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(X_11,join(complement(one),meet(one,converse(complement(one))))))) ),[1,0,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3176,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(X_11,join(complement(one),meet(one,converse(complement(one))))))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(X_11,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(X_11,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(X_11,join(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_3140,refute_0_3176]) ).
cnf(refute_0_3178,plain,
join(converse(X_11),complement(one)) = join(complement(one),converse(X_11)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(one))),bind(B,$fot(converse(X_11)))]]) ).
cnf(refute_0_3179,plain,
converse(join(X_11,converse(complement(one)))) = join(converse(X_11),complement(one)),
inference(subst,[],[refute_0_345:[bind(A,$fot(complement(one))),bind(X_4,$fot(X_11))]]) ).
cnf(refute_0_3180,plain,
( converse(join(X_11,converse(complement(one)))) != join(converse(X_11),complement(one))
| join(converse(X_11),complement(one)) != join(complement(one),converse(X_11))
| converse(join(X_11,converse(complement(one)))) = join(complement(one),converse(X_11)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(X_11,converse(complement(one)))))),bind(Y,$fot(join(converse(X_11),complement(one)))),bind(Z,$fot(join(complement(one),converse(X_11))))]]) ).
cnf(refute_0_3181,plain,
( join(converse(X_11),complement(one)) != join(complement(one),converse(X_11))
| converse(join(X_11,converse(complement(one)))) = join(complement(one),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(complement(one)))),join(converse(X_11),complement(one))) )],[refute_0_3179,refute_0_3180]) ).
cnf(refute_0_3182,plain,
converse(join(X_11,converse(complement(one)))) = join(complement(one),converse(X_11)),
inference(resolve,[$cnf( $equal(join(converse(X_11),complement(one)),join(complement(one),converse(X_11))) )],[refute_0_3178,refute_0_3181]) ).
cnf(refute_0_3183,plain,
( converse(join(X_11,converse(complement(one)))) != join(complement(one),converse(X_11))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(X_11,converse(complement(one))))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = join(complement(one),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(X_11,converse(complement(one))))) ),[1],$fot(join(complement(one),converse(X_11)))]]) ).
cnf(refute_0_3184,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(X_11,converse(complement(one))))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = join(complement(one),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(complement(one)))),join(complement(one),converse(X_11))) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = join(complement(one),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(X_11,converse(complement(one))))) )],[refute_0_3177,refute_0_3184]) ).
cnf(refute_0_3186,plain,
join(X_11,zero) = X_11,
inference(subst,[],[refute_0_783:[bind(X_89,$fot(X_11))]]) ).
cnf(refute_0_3187,plain,
meet(one,converse(complement(one))) = complement(complement(meet(one,converse(complement(one))))),
inference(subst,[],[refute_0_708:[bind(B,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3188,plain,
top = join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_628:[bind(X_64,$fot(meet(one,converse(complement(one))))),bind(X_65,$fot(complement(one)))]]) ).
cnf(refute_0_3189,plain,
( join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| top != join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one))))))
| top = join(complement(converse(complement(one))),converse(converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one))))))) ),[1,1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3190,plain,
( top != join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one))))))
| top = join(complement(converse(complement(one))),converse(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_3174,refute_0_3189]) ).
cnf(refute_0_3191,plain,
top = join(complement(converse(complement(one))),converse(converse(complement(one)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_3188,refute_0_3190]) ).
cnf(refute_0_3192,plain,
meet(converse(complement(one)),one) = meet(one,converse(complement(one))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(converse(complement(one))))]]) ).
cnf(refute_0_3193,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(one)),one)))]]) ).
cnf(refute_0_3194,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(converse(complement(one)),one))
| meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) ),[1,0],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_3195,plain,
( meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) )],[refute_0_3193,refute_0_3194]) ).
cnf(refute_0_3196,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),one),meet(one,converse(complement(one)))) )],[refute_0_3192,refute_0_3195]) ).
cnf(refute_0_3197,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(converse(complement(one)),one)),
inference(subst,[],[refute_0_866:[bind(A,$fot(converse(complement(one)))),bind(B,$fot(one))]]) ).
cnf(refute_0_3198,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) != complement(meet(converse(complement(one)),one))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(complement(one))),complement(one)))),bind(Y,$fot(complement(meet(converse(complement(one)),one)))),bind(Z,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3199,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(converse(complement(one)),one))) )],[refute_0_3197,refute_0_3198]) ).
cnf(refute_0_3200,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(one,converse(complement(one))))) )],[refute_0_3196,refute_0_3199]) ).
cnf(refute_0_3201,plain,
converse(converse(complement(one))) = complement(one),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_3202,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),converse(converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),converse(converse(complement(one)))))]]) ).
cnf(refute_0_3203,plain,
( converse(converse(complement(one))) != complement(one)
| join(complement(converse(complement(one))),converse(converse(complement(one)))) != join(complement(converse(complement(one))),converse(converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),converse(converse(complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_3204,plain,
( converse(converse(complement(one))) != complement(one)
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),converse(converse(complement(one))))) )],[refute_0_3202,refute_0_3203]) ).
cnf(refute_0_3205,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(complement(one))),complement(one)) )],[refute_0_3201,refute_0_3204]) ).
cnf(refute_0_3206,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) != join(complement(converse(complement(one))),complement(one))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(complement(one))),converse(converse(complement(one)))))),bind(Y,$fot(join(complement(converse(complement(one))),complement(one)))),bind(Z,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3207,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),complement(one))) )],[refute_0_3205,refute_0_3206]) ).
cnf(refute_0_3208,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(one,converse(complement(one))))) )],[refute_0_3200,refute_0_3207]) ).
cnf(refute_0_3209,plain,
( join(complement(converse(complement(one))),converse(converse(complement(one)))) != complement(meet(one,converse(complement(one))))
| top != join(complement(converse(complement(one))),converse(converse(complement(one))))
| top = complement(meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(complement(one))),converse(converse(complement(one))))) ),[1],$fot(complement(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3210,plain,
( top != join(complement(converse(complement(one))),converse(converse(complement(one))))
| top = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),complement(meet(one,converse(complement(one))))) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
top = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(complement(one))),converse(converse(complement(one))))) )],[refute_0_3191,refute_0_3210]) ).
cnf(refute_0_3212,plain,
( top != complement(meet(one,converse(complement(one))))
| complement(meet(one,converse(complement(one)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3213,plain,
complement(meet(one,converse(complement(one)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,converse(complement(one))))) )],[refute_0_3211,refute_0_3212]) ).
cnf(refute_0_3214,plain,
( complement(meet(one,converse(complement(one)))) != top
| meet(one,converse(complement(one))) != complement(complement(meet(one,converse(complement(one)))))
| meet(one,converse(complement(one))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),complement(complement(meet(one,converse(complement(one)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3215,plain,
( meet(one,converse(complement(one))) != complement(complement(meet(one,converse(complement(one)))))
| meet(one,converse(complement(one))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(one)))),top) )],[refute_0_3213,refute_0_3214]) ).
cnf(refute_0_3216,plain,
meet(one,converse(complement(one))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),complement(complement(meet(one,converse(complement(one)))))) )],[refute_0_3187,refute_0_3215]) ).
cnf(refute_0_3217,plain,
( complement(top) != zero
| meet(one,converse(complement(one))) != complement(top)
| meet(one,converse(complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3218,plain,
( meet(one,converse(complement(one))) != complement(top)
| meet(one,converse(complement(one))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_3217]) ).
cnf(refute_0_3219,plain,
meet(one,converse(complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),complement(top)) )],[refute_0_3216,refute_0_3218]) ).
cnf(refute_0_3220,plain,
join(X_11,meet(one,converse(complement(one)))) = join(X_11,meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(X_11,meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3221,plain,
( join(X_11,meet(one,converse(complement(one)))) != join(X_11,meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| join(X_11,meet(one,converse(complement(one)))) = join(X_11,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,meet(one,converse(complement(one)))),join(X_11,meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3222,plain,
( meet(one,converse(complement(one))) != zero
| join(X_11,meet(one,converse(complement(one)))) = join(X_11,zero) ),
inference(resolve,[$cnf( $equal(join(X_11,meet(one,converse(complement(one)))),join(X_11,meet(one,converse(complement(one))))) )],[refute_0_3220,refute_0_3221]) ).
cnf(refute_0_3223,plain,
join(X_11,meet(one,converse(complement(one)))) = join(X_11,zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_0_3219,refute_0_3222]) ).
cnf(refute_0_3224,plain,
( join(X_11,meet(one,converse(complement(one)))) != join(X_11,zero)
| join(X_11,zero) != X_11
| join(X_11,meet(one,converse(complement(one)))) = X_11 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_11,meet(one,converse(complement(one)))))),bind(Y,$fot(join(X_11,zero))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_3225,plain,
( join(X_11,zero) != X_11
| join(X_11,meet(one,converse(complement(one)))) = X_11 ),
inference(resolve,[$cnf( $equal(join(X_11,meet(one,converse(complement(one)))),join(X_11,zero)) )],[refute_0_3223,refute_0_3224]) ).
cnf(refute_0_3226,plain,
join(X_11,meet(one,converse(complement(one)))) = X_11,
inference(resolve,[$cnf( $equal(join(X_11,zero),X_11) )],[refute_0_3186,refute_0_3225]) ).
cnf(refute_0_3227,plain,
join(complement(one),join(X_11,meet(one,converse(complement(one))))) = join(complement(one),join(X_11,meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_11,meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3228,plain,
( join(X_11,meet(one,converse(complement(one)))) != X_11
| join(complement(one),join(X_11,meet(one,converse(complement(one))))) != join(complement(one),join(X_11,meet(one,converse(complement(one)))))
| join(complement(one),join(X_11,meet(one,converse(complement(one))))) = join(complement(one),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_11,meet(one,converse(complement(one))))),join(complement(one),join(X_11,meet(one,converse(complement(one)))))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_3229,plain,
( join(X_11,meet(one,converse(complement(one)))) != X_11
| join(complement(one),join(X_11,meet(one,converse(complement(one))))) = join(complement(one),X_11) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_11,meet(one,converse(complement(one))))),join(complement(one),join(X_11,meet(one,converse(complement(one)))))) )],[refute_0_3227,refute_0_3228]) ).
cnf(refute_0_3230,plain,
join(complement(one),join(X_11,meet(one,converse(complement(one))))) = join(complement(one),X_11),
inference(resolve,[$cnf( $equal(join(X_11,meet(one,converse(complement(one)))),X_11) )],[refute_0_3226,refute_0_3229]) ).
cnf(refute_0_3231,plain,
converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3232,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(complement(one),join(X_11,meet(one,converse(complement(one))))))
| join(complement(one),join(X_11,meet(one,converse(complement(one))))) != join(complement(one),X_11)
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(complement(one),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(complement(one),join(X_11,meet(one,converse(complement(one))))))) ),[1,0],$fot(join(complement(one),X_11))]]) ).
cnf(refute_0_3233,plain,
( join(complement(one),join(X_11,meet(one,converse(complement(one))))) != join(complement(one),X_11)
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(complement(one),X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(complement(one),join(X_11,meet(one,converse(complement(one))))))) )],[refute_0_3231,refute_0_3232]) ).
cnf(refute_0_3234,plain,
converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) = converse(join(complement(one),X_11)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_11,meet(one,converse(complement(one))))),join(complement(one),X_11)) )],[refute_0_3230,refute_0_3233]) ).
cnf(refute_0_3235,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != converse(join(complement(one),X_11))
| converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != join(complement(one),converse(X_11))
| converse(join(complement(one),X_11)) = join(complement(one),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),join(complement(one),converse(X_11))) ),[0],$fot(converse(join(complement(one),X_11)))]]) ).
cnf(refute_0_3236,plain,
( converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))) != join(complement(one),converse(X_11))
| converse(join(complement(one),X_11)) = join(complement(one),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),converse(join(complement(one),X_11))) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
converse(join(complement(one),X_11)) = join(complement(one),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(one,converse(complement(one)))))),join(complement(one),converse(X_11))) )],[refute_0_3185,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( converse(join(complement(one),X_11)) != join(complement(one),converse(X_11))
| join(complement(one),converse(X_11)) = converse(join(complement(one),X_11)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(one),X_11)))),bind(Y,$fot(join(complement(one),converse(X_11))))]]) ).
cnf(refute_0_3239,plain,
join(complement(one),converse(X_11)) = converse(join(complement(one),X_11)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X_11)),join(complement(one),converse(X_11))) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
join(complement(one),converse(meet(one,complement(sk1)))) = converse(join(complement(one),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_3239:[bind(X_11,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_3241,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != complement(converse(sk1))
| join(complement(one),converse(meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(complement(one),converse(meet(one,complement(sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),converse(meet(one,complement(sk1)))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(sk1)))))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_3242,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != complement(converse(sk1))
| join(complement(one),converse(meet(one,complement(sk1)))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_3240,refute_0_3241]) ).
cnf(refute_0_3243,plain,
join(complement(one),converse(meet(one,complement(sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),complement(converse(sk1))) )],[refute_0_3139,refute_0_3242]) ).
cnf(refute_0_3244,plain,
join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) = join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(one),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3245,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != complement(converse(sk1))
| join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) != join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))
| join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_3246,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != complement(converse(sk1))
| join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))) )],[refute_0_3244,refute_0_3245]) ).
cnf(refute_0_3247,plain,
join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(sk1)))),complement(converse(sk1))) )],[refute_0_3243,refute_0_3246]) ).
cnf(refute_0_3248,plain,
join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) = join(X_49,join(sk1,join(meet(sk1,complement(one)),X_357))),
inference(subst,[],[refute_0_379:[bind(A,$fot(join(meet(sk1,complement(one)),X_357))),bind(X_50,$fot(sk1))]]) ).
cnf(refute_0_3249,plain,
join(sk1,join(meet(sk1,complement(one)),X_357)) = join(sk1,X_357),
inference(subst,[],[refute_0_2747:[bind(C,$fot(X_357))]]) ).
cnf(refute_0_3250,plain,
( join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) != join(X_49,join(sk1,join(meet(sk1,complement(one)),X_357)))
| join(sk1,join(meet(sk1,complement(one)),X_357)) != join(sk1,X_357)
| join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) = join(X_49,join(sk1,X_357)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)),join(X_49,join(sk1,join(meet(sk1,complement(one)),X_357)))) ),[1,1],$fot(join(sk1,X_357))]]) ).
cnf(refute_0_3251,plain,
( join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) != join(X_49,join(sk1,join(meet(sk1,complement(one)),X_357)))
| join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) = join(X_49,join(sk1,X_357)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),X_357)),join(sk1,X_357)) )],[refute_0_3249,refute_0_3250]) ).
cnf(refute_0_3252,plain,
join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) = join(X_49,join(sk1,X_357)),
inference(resolve,[$cnf( $equal(join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)),join(X_49,join(sk1,join(meet(sk1,complement(one)),X_357)))) )],[refute_0_3248,refute_0_3251]) ).
cnf(refute_0_3253,plain,
join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) = join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),
inference(subst,[],[refute_0_2199:[bind(X_199,$fot(sk1)),bind(X_200,$fot(join(meet(sk1,complement(one)),X_357))),bind(X_201,$fot(X_49))]]) ).
cnf(refute_0_3254,plain,
( join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) != join(X_49,join(sk1,X_357))
| join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) != join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357)))
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(X_49,join(sk1,X_357)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)),join(X_49,join(sk1,X_357))) ),[0],$fot(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))))]]) ).
cnf(refute_0_3255,plain,
( join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)) != join(X_49,join(sk1,X_357))
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(X_49,join(sk1,X_357)) ),
inference(resolve,[$cnf( $equal(join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)),join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357)))) )],[refute_0_3253,refute_0_3254]) ).
cnf(refute_0_3256,plain,
join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(X_49,join(sk1,X_357)),
inference(resolve,[$cnf( $equal(join(join(meet(sk1,complement(one)),X_357),join(X_49,sk1)),join(X_49,join(sk1,X_357))) )],[refute_0_3252,refute_0_3255]) ).
cnf(refute_0_3257,plain,
join(zero,X_357) = X_357,
inference(subst,[],[refute_0_217:[bind(X_89,$fot(X_357))]]) ).
cnf(refute_0_3258,plain,
join(meet(sk1,complement(one)),X_357) = join(meet(sk1,complement(one)),X_357),
introduced(tautology,[refl,[$fot(join(meet(sk1,complement(one)),X_357))]]) ).
cnf(refute_0_3259,plain,
( join(meet(sk1,complement(one)),X_357) != join(meet(sk1,complement(one)),X_357)
| meet(sk1,complement(one)) != zero
| join(meet(sk1,complement(one)),X_357) = join(zero,X_357) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,complement(one)),X_357),join(meet(sk1,complement(one)),X_357)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3260,plain,
( meet(sk1,complement(one)) != zero
| join(meet(sk1,complement(one)),X_357) = join(zero,X_357) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(one)),X_357),join(meet(sk1,complement(one)),X_357)) )],[refute_0_3258,refute_0_3259]) ).
cnf(refute_0_3261,plain,
join(meet(sk1,complement(one)),X_357) = join(zero,X_357),
inference(resolve,[$cnf( $equal(meet(sk1,complement(one)),zero) )],[refute_0_2942,refute_0_3260]) ).
cnf(refute_0_3262,plain,
( join(meet(sk1,complement(one)),X_357) != join(zero,X_357)
| join(zero,X_357) != X_357
| join(meet(sk1,complement(one)),X_357) = X_357 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(sk1,complement(one)),X_357))),bind(Y,$fot(join(zero,X_357))),bind(Z,$fot(X_357))]]) ).
cnf(refute_0_3263,plain,
( join(zero,X_357) != X_357
| join(meet(sk1,complement(one)),X_357) = X_357 ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(one)),X_357),join(zero,X_357)) )],[refute_0_3261,refute_0_3262]) ).
cnf(refute_0_3264,plain,
join(meet(sk1,complement(one)),X_357) = X_357,
inference(resolve,[$cnf( $equal(join(zero,X_357),X_357) )],[refute_0_3257,refute_0_3263]) ).
cnf(refute_0_3265,plain,
join(X_49,join(meet(sk1,complement(one)),X_357)) = join(X_49,join(meet(sk1,complement(one)),X_357)),
introduced(tautology,[refl,[$fot(join(X_49,join(meet(sk1,complement(one)),X_357)))]]) ).
cnf(refute_0_3266,plain,
( join(X_49,join(meet(sk1,complement(one)),X_357)) != join(X_49,join(meet(sk1,complement(one)),X_357))
| join(meet(sk1,complement(one)),X_357) != X_357
| join(X_49,join(meet(sk1,complement(one)),X_357)) = join(X_49,X_357) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(meet(sk1,complement(one)),X_357)),join(X_49,join(meet(sk1,complement(one)),X_357))) ),[1,1],$fot(X_357)]]) ).
cnf(refute_0_3267,plain,
( join(meet(sk1,complement(one)),X_357) != X_357
| join(X_49,join(meet(sk1,complement(one)),X_357)) = join(X_49,X_357) ),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(sk1,complement(one)),X_357)),join(X_49,join(meet(sk1,complement(one)),X_357))) )],[refute_0_3265,refute_0_3266]) ).
cnf(refute_0_3268,plain,
join(X_49,join(meet(sk1,complement(one)),X_357)) = join(X_49,X_357),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(one)),X_357),X_357) )],[refute_0_3264,refute_0_3267]) ).
cnf(refute_0_3269,plain,
join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),
introduced(tautology,[refl,[$fot(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))))]]) ).
cnf(refute_0_3270,plain,
( join(X_49,join(meet(sk1,complement(one)),X_357)) != join(X_49,X_357)
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) != join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357)))
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(sk1,join(X_49,X_357)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357)))) ),[1,1],$fot(join(X_49,X_357))]]) ).
cnf(refute_0_3271,plain,
( join(X_49,join(meet(sk1,complement(one)),X_357)) != join(X_49,X_357)
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(sk1,join(X_49,X_357)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357)))) )],[refute_0_3269,refute_0_3270]) ).
cnf(refute_0_3272,plain,
join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) = join(sk1,join(X_49,X_357)),
inference(resolve,[$cnf( $equal(join(X_49,join(meet(sk1,complement(one)),X_357)),join(X_49,X_357)) )],[refute_0_3268,refute_0_3271]) ).
cnf(refute_0_3273,plain,
( join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) != join(X_49,join(sk1,X_357))
| join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) != join(sk1,join(X_49,X_357))
| join(sk1,join(X_49,X_357)) = join(X_49,join(sk1,X_357)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),join(X_49,join(sk1,X_357))) ),[0],$fot(join(sk1,join(X_49,X_357)))]]) ).
cnf(refute_0_3274,plain,
( join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))) != join(X_49,join(sk1,X_357))
| join(sk1,join(X_49,X_357)) = join(X_49,join(sk1,X_357)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),join(sk1,join(X_49,X_357))) )],[refute_0_3272,refute_0_3273]) ).
cnf(refute_0_3275,plain,
join(sk1,join(X_49,X_357)) = join(X_49,join(sk1,X_357)),
inference(resolve,[$cnf( $equal(join(sk1,join(X_49,join(meet(sk1,complement(one)),X_357))),join(X_49,join(sk1,X_357))) )],[refute_0_3256,refute_0_3274]) ).
cnf(refute_0_3276,plain,
( join(sk1,join(X_49,X_357)) != join(X_49,join(sk1,X_357))
| join(X_49,join(sk1,X_357)) = join(sk1,join(X_49,X_357)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,join(X_49,X_357)))),bind(Y,$fot(join(X_49,join(sk1,X_357))))]]) ).
cnf(refute_0_3277,plain,
join(X_49,join(sk1,X_357)) = join(sk1,join(X_49,X_357)),
inference(resolve,[$cnf( $equal(join(sk1,join(X_49,X_357)),join(X_49,join(sk1,X_357))) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
join(complement(one),join(sk1,converse(meet(one,complement(sk1))))) = join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_3277:[bind(X_357,$fot(converse(meet(one,complement(sk1))))),bind(X_49,$fot(complement(one)))]]) ).
cnf(refute_0_3279,plain,
join(A,join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))) = join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),
inference(subst,[],[refute_0_379:[bind(X_49,$fot(complement(one))),bind(X_50,$fot(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_3280,plain,
join(complement(one),composition(converse(join(B,A)),complement(join(B,A)))) = complement(one),
inference(subst,[],[refute_0_1978:[bind(X_22,$fot(join(B,A)))]]) ).
cnf(refute_0_3281,plain,
( converse(join(B,A)) != converse(join(A,B))
| join(complement(one),composition(converse(join(B,A)),complement(join(B,A)))) != complement(one)
| join(complement(one),composition(converse(join(A,B)),complement(join(B,A)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(B,A)),complement(join(B,A)))),complement(one)) ),[0,1,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_3282,plain,
( join(complement(one),composition(converse(join(B,A)),complement(join(B,A)))) != complement(one)
| join(complement(one),composition(converse(join(A,B)),complement(join(B,A)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_310,refute_0_3281]) ).
cnf(refute_0_3283,plain,
join(complement(one),composition(converse(join(A,B)),complement(join(B,A)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(B,A)),complement(join(B,A)))),complement(one)) )],[refute_0_3280,refute_0_3282]) ).
cnf(refute_0_3284,plain,
join(complement(one),composition(converse(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = complement(one),
inference(subst,[],[refute_0_3283:[bind(A,$fot(sk1)),bind(B,$fot(complement(composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3285,plain,
join(sk1,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))) = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))),
inference(subst,[],[refute_0_2747:[bind(C,$fot(complement(composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3286,plain,
converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) = join(A,converse(complement(composition(converse(sk1),converse(A))))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(complement(composition(converse(sk1),converse(A)))))]]) ).
cnf(refute_0_3287,plain,
top = converse(join(complement(composition(converse(sk1),X_476)),composition(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),X_476))),
inference(subst,[],[refute_0_2722:[bind(X_150,$fot(converse(sk1))),bind(X_151,$fot(join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one)))))))),bind(X_152,$fot(X_476))]]) ).
cnf(refute_0_3288,plain,
( join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))) != one
| top != converse(join(complement(composition(converse(sk1),X_476)),composition(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),X_476)))
| top = converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(complement(composition(converse(sk1),X_476)),composition(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),X_476)))) ),[1,0,1,0],$fot(one)]]) ).
cnf(refute_0_3289,plain,
( top != converse(join(complement(composition(converse(sk1),X_476)),composition(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),X_476)))
| top = converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),one) )],[refute_0_2868,refute_0_3288]) ).
cnf(refute_0_3290,plain,
top = converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))),
inference(resolve,[$cnf( $equal(top,converse(join(complement(composition(converse(sk1),X_476)),composition(join(converse(sk1),join(meet(sk1,complement(one)),meet(one,complement(join(converse(sk1),meet(sk1,complement(one))))))),X_476)))) )],[refute_0_3287,refute_0_3289]) ).
cnf(refute_0_3291,plain,
join(composition(one,X_476),complement(composition(converse(sk1),X_476))) = join(composition(one,X_476),complement(composition(converse(sk1),X_476))),
introduced(tautology,[refl,[$fot(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))]]) ).
cnf(refute_0_3292,plain,
( composition(one,X_476) != X_476
| join(composition(one,X_476),complement(composition(converse(sk1),X_476))) != join(composition(one,X_476),complement(composition(converse(sk1),X_476)))
| join(composition(one,X_476),complement(composition(converse(sk1),X_476))) = join(X_476,complement(composition(converse(sk1),X_476))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(one,X_476),complement(composition(converse(sk1),X_476))),join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) ),[1,0],$fot(X_476)]]) ).
cnf(refute_0_3293,plain,
( composition(one,X_476) != X_476
| join(composition(one,X_476),complement(composition(converse(sk1),X_476))) = join(X_476,complement(composition(converse(sk1),X_476))) ),
inference(resolve,[$cnf( $equal(join(composition(one,X_476),complement(composition(converse(sk1),X_476))),join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) )],[refute_0_3291,refute_0_3292]) ).
cnf(refute_0_3294,plain,
join(composition(one,X_476),complement(composition(converse(sk1),X_476))) = join(X_476,complement(composition(converse(sk1),X_476))),
inference(resolve,[$cnf( $equal(composition(one,X_476),X_476) )],[refute_0_2885,refute_0_3293]) ).
cnf(refute_0_3295,plain,
converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) = converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))),
introduced(tautology,[refl,[$fot(converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))))]]) ).
cnf(refute_0_3296,plain,
( converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) != converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))
| join(composition(one,X_476),complement(composition(converse(sk1),X_476))) != join(X_476,complement(composition(converse(sk1),X_476)))
| converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))),converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))) ),[1,0],$fot(join(X_476,complement(composition(converse(sk1),X_476))))]]) ).
cnf(refute_0_3297,plain,
( join(composition(one,X_476),complement(composition(converse(sk1),X_476))) != join(X_476,complement(composition(converse(sk1),X_476)))
| converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))),converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))) )],[refute_0_3295,refute_0_3296]) ).
cnf(refute_0_3298,plain,
converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))),
inference(resolve,[$cnf( $equal(join(composition(one,X_476),complement(composition(converse(sk1),X_476))),join(X_476,complement(composition(converse(sk1),X_476)))) )],[refute_0_3294,refute_0_3297]) ).
cnf(refute_0_3299,plain,
converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) = converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))),
inference(subst,[],[refute_0_293:[bind(A,$fot(complement(composition(converse(sk1),X_476)))),bind(B,$fot(composition(one,X_476)))]]) ).
cnf(refute_0_3300,plain,
( converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) != converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))
| converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) != converse(join(X_476,complement(composition(converse(sk1),X_476))))
| converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))))),bind(Y,$fot(converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))))),bind(Z,$fot(converse(join(X_476,complement(composition(converse(sk1),X_476))))))]]) ).
cnf(refute_0_3301,plain,
( converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))) != converse(join(X_476,complement(composition(converse(sk1),X_476))))
| converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))),converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476))))) )],[refute_0_3299,refute_0_3300]) ).
cnf(refute_0_3302,plain,
converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) = converse(join(X_476,complement(composition(converse(sk1),X_476)))),
inference(resolve,[$cnf( $equal(converse(join(composition(one,X_476),complement(composition(converse(sk1),X_476)))),converse(join(X_476,complement(composition(converse(sk1),X_476))))) )],[refute_0_3298,refute_0_3301]) ).
cnf(refute_0_3303,plain,
( converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))) != converse(join(X_476,complement(composition(converse(sk1),X_476))))
| top != converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476)))
| top = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476)))) ),[1],$fot(converse(join(X_476,complement(composition(converse(sk1),X_476)))))]]) ).
cnf(refute_0_3304,plain,
( top != converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476)))
| top = converse(join(X_476,complement(composition(converse(sk1),X_476)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476))),converse(join(X_476,complement(composition(converse(sk1),X_476))))) )],[refute_0_3302,refute_0_3303]) ).
cnf(refute_0_3305,plain,
top = converse(join(X_476,complement(composition(converse(sk1),X_476)))),
inference(resolve,[$cnf( $equal(top,converse(join(complement(composition(converse(sk1),X_476)),composition(one,X_476)))) )],[refute_0_3290,refute_0_3304]) ).
cnf(refute_0_3306,plain,
top = converse(join(converse(A),complement(composition(converse(sk1),converse(A))))),
inference(subst,[],[refute_0_3305:[bind(X_476,$fot(converse(A)))]]) ).
cnf(refute_0_3307,plain,
( top != converse(join(converse(A),complement(composition(converse(sk1),converse(A)))))
| converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(converse(A),complement(composition(converse(sk1),converse(A)))))))]]) ).
cnf(refute_0_3308,plain,
converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(converse(A),complement(composition(converse(sk1),converse(A)))))) )],[refute_0_3306,refute_0_3307]) ).
cnf(refute_0_3309,plain,
( converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) != join(A,converse(complement(composition(converse(sk1),converse(A)))))
| converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) != top
| top = join(A,converse(complement(composition(converse(sk1),converse(A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),complement(composition(converse(sk1),converse(A))))),join(A,converse(complement(composition(converse(sk1),converse(A)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3310,plain,
( converse(join(converse(A),complement(composition(converse(sk1),converse(A))))) != join(A,converse(complement(composition(converse(sk1),converse(A)))))
| top = join(A,converse(complement(composition(converse(sk1),converse(A))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(composition(converse(sk1),converse(A))))),top) )],[refute_0_3308,refute_0_3309]) ).
cnf(refute_0_3311,plain,
top = join(A,converse(complement(composition(converse(sk1),converse(A))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(composition(converse(sk1),converse(A))))),join(A,converse(complement(composition(converse(sk1),converse(A)))))) )],[refute_0_3286,refute_0_3310]) ).
cnf(refute_0_3312,plain,
converse(converse(sk1)) = sk1,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3313,plain,
composition(A,converse(converse(sk1))) = composition(A,converse(converse(sk1))),
introduced(tautology,[refl,[$fot(composition(A,converse(converse(sk1))))]]) ).
cnf(refute_0_3314,plain,
( composition(A,converse(converse(sk1))) != composition(A,converse(converse(sk1)))
| converse(converse(sk1)) != sk1
| composition(A,converse(converse(sk1))) = composition(A,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,converse(converse(sk1))),composition(A,converse(converse(sk1)))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_3315,plain,
( converse(converse(sk1)) != sk1
| composition(A,converse(converse(sk1))) = composition(A,sk1) ),
inference(resolve,[$cnf( $equal(composition(A,converse(converse(sk1))),composition(A,converse(converse(sk1)))) )],[refute_0_3313,refute_0_3314]) ).
cnf(refute_0_3316,plain,
composition(A,converse(converse(sk1))) = composition(A,sk1),
inference(resolve,[$cnf( $equal(converse(converse(sk1)),sk1) )],[refute_0_3312,refute_0_3315]) ).
cnf(refute_0_3317,plain,
converse(composition(converse(sk1),converse(A))) = composition(A,converse(converse(sk1))),
inference(subst,[],[refute_0_1630:[bind(X_8,$fot(converse(sk1)))]]) ).
cnf(refute_0_3318,plain,
( composition(A,converse(converse(sk1))) != composition(A,sk1)
| converse(composition(converse(sk1),converse(A))) != composition(A,converse(converse(sk1)))
| converse(composition(converse(sk1),converse(A))) = composition(A,sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(converse(sk1),converse(A))))),bind(Y,$fot(composition(A,converse(converse(sk1))))),bind(Z,$fot(composition(A,sk1)))]]) ).
cnf(refute_0_3319,plain,
( composition(A,converse(converse(sk1))) != composition(A,sk1)
| converse(composition(converse(sk1),converse(A))) = composition(A,sk1) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(sk1),converse(A))),composition(A,converse(converse(sk1)))) )],[refute_0_3317,refute_0_3318]) ).
cnf(refute_0_3320,plain,
converse(composition(converse(sk1),converse(A))) = composition(A,sk1),
inference(resolve,[$cnf( $equal(composition(A,converse(converse(sk1))),composition(A,sk1)) )],[refute_0_3316,refute_0_3319]) ).
cnf(refute_0_3321,plain,
complement(converse(composition(converse(sk1),converse(A)))) = complement(converse(composition(converse(sk1),converse(A)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(converse(sk1),converse(A)))))]]) ).
cnf(refute_0_3322,plain,
( complement(converse(composition(converse(sk1),converse(A)))) != complement(converse(composition(converse(sk1),converse(A))))
| converse(composition(converse(sk1),converse(A))) != composition(A,sk1)
| complement(converse(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(sk1),converse(A)))),complement(converse(composition(converse(sk1),converse(A))))) ),[1,0],$fot(composition(A,sk1))]]) ).
cnf(refute_0_3323,plain,
( converse(composition(converse(sk1),converse(A))) != composition(A,sk1)
| complement(converse(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(sk1),converse(A)))),complement(converse(composition(converse(sk1),converse(A))))) )],[refute_0_3321,refute_0_3322]) ).
cnf(refute_0_3324,plain,
complement(converse(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)),
inference(resolve,[$cnf( $equal(converse(composition(converse(sk1),converse(A))),composition(A,sk1)) )],[refute_0_3320,refute_0_3323]) ).
cnf(refute_0_3325,plain,
converse(complement(composition(converse(sk1),converse(A)))) = complement(converse(composition(converse(sk1),converse(A)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(composition(converse(sk1),converse(A))))]]) ).
cnf(refute_0_3326,plain,
( complement(converse(composition(converse(sk1),converse(A)))) != complement(composition(A,sk1))
| converse(complement(composition(converse(sk1),converse(A)))) != complement(converse(composition(converse(sk1),converse(A))))
| converse(complement(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(composition(converse(sk1),converse(A)))))),bind(Y,$fot(complement(converse(composition(converse(sk1),converse(A)))))),bind(Z,$fot(complement(composition(A,sk1))))]]) ).
cnf(refute_0_3327,plain,
( complement(converse(composition(converse(sk1),converse(A)))) != complement(composition(A,sk1))
| converse(complement(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(sk1),converse(A)))),complement(converse(composition(converse(sk1),converse(A))))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
converse(complement(composition(converse(sk1),converse(A)))) = complement(composition(A,sk1)),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(sk1),converse(A)))),complement(composition(A,sk1))) )],[refute_0_3324,refute_0_3327]) ).
cnf(refute_0_3329,plain,
join(A,converse(complement(composition(converse(sk1),converse(A))))) = join(A,converse(complement(composition(converse(sk1),converse(A))))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(composition(converse(sk1),converse(A))))))]]) ).
cnf(refute_0_3330,plain,
( converse(complement(composition(converse(sk1),converse(A)))) != complement(composition(A,sk1))
| join(A,converse(complement(composition(converse(sk1),converse(A))))) != join(A,converse(complement(composition(converse(sk1),converse(A)))))
| join(A,converse(complement(composition(converse(sk1),converse(A))))) = join(A,complement(composition(A,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(composition(converse(sk1),converse(A))))),join(A,converse(complement(composition(converse(sk1),converse(A)))))) ),[1,1],$fot(complement(composition(A,sk1)))]]) ).
cnf(refute_0_3331,plain,
( converse(complement(composition(converse(sk1),converse(A)))) != complement(composition(A,sk1))
| join(A,converse(complement(composition(converse(sk1),converse(A))))) = join(A,complement(composition(A,sk1))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(converse(sk1),converse(A))))),join(A,converse(complement(composition(converse(sk1),converse(A)))))) )],[refute_0_3329,refute_0_3330]) ).
cnf(refute_0_3332,plain,
join(A,converse(complement(composition(converse(sk1),converse(A))))) = join(A,complement(composition(A,sk1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(sk1),converse(A)))),complement(composition(A,sk1))) )],[refute_0_3328,refute_0_3331]) ).
cnf(refute_0_3333,plain,
( join(A,converse(complement(composition(converse(sk1),converse(A))))) != join(A,complement(composition(A,sk1)))
| top != join(A,converse(complement(composition(converse(sk1),converse(A)))))
| top = join(A,complement(composition(A,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(complement(composition(converse(sk1),converse(A)))))) ),[1],$fot(join(A,complement(composition(A,sk1))))]]) ).
cnf(refute_0_3334,plain,
( top != join(A,converse(complement(composition(converse(sk1),converse(A)))))
| top = join(A,complement(composition(A,sk1))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(converse(sk1),converse(A))))),join(A,complement(composition(A,sk1)))) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
top = join(A,complement(composition(A,sk1))),
inference(resolve,[$cnf( $equal(top,join(A,converse(complement(composition(converse(sk1),converse(A)))))) )],[refute_0_3311,refute_0_3334]) ).
cnf(refute_0_3336,plain,
top = join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1))),
inference(subst,[],[refute_0_3335:[bind(A,$fot(meet(sk1,complement(one))))]]) ).
cnf(refute_0_3337,plain,
( top != join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))
| join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_3338,plain,
join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3336,refute_0_3337]) ).
cnf(refute_0_3339,plain,
( join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1))) != top
| join(sk1,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))) != join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))
| join(sk1,top) = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))),join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_3340,plain,
( join(sk1,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))) != join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))
| join(sk1,top) = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1))),top) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
join(sk1,top) = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(one)),complement(composition(meet(sk1,complement(one)),sk1)))),join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3285,refute_0_3340]) ).
cnf(refute_0_3342,plain,
( join(sk1,top) != join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))
| join(sk1,top) != top
| top = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) ),[0],$fot(top)]]) ).
cnf(refute_0_3343,plain,
( join(sk1,top) != join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))
| top = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_1764,refute_0_3342]) ).
cnf(refute_0_3344,plain,
top = join(sk1,complement(composition(meet(sk1,complement(one)),sk1))),
inference(resolve,[$cnf( $equal(join(sk1,top),join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3341,refute_0_3343]) ).
cnf(refute_0_3345,plain,
( top != join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))
| join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_3346,plain,
join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3344,refute_0_3345]) ).
cnf(refute_0_3347,plain,
( join(complement(one),composition(converse(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != complement(one)
| join(sk1,complement(composition(meet(sk1,complement(one)),sk1))) != top
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),complement(one)) ),[0,1,0,0],$fot(top)]]) ).
cnf(refute_0_3348,plain,
( join(complement(one),composition(converse(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != complement(one)
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(meet(sk1,complement(one)),sk1))),top) )],[refute_0_3346,refute_0_3347]) ).
cnf(refute_0_3349,plain,
join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),complement(one)) )],[refute_0_3284,refute_0_3348]) ).
cnf(refute_0_3350,plain,
complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) = meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),
inference(subst,[],[refute_0_638:[bind(B,$fot(composition(meet(sk1,complement(one)),sk1))),bind(X_31,$fot(sk1))]]) ).
cnf(refute_0_3351,plain,
converse(complement(converse(join(B,A)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),
inference(subst,[],[refute_0_747:[bind(X_100,$fot(join(B,A)))]]) ).
cnf(refute_0_3352,plain,
( converse(complement(converse(join(B,A)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(join(B,A)) != converse(join(A,B))
| converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(B,A)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) ),[0,0,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_3353,plain,
( converse(complement(converse(join(B,A)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_310,refute_0_3352]) ).
cnf(refute_0_3354,plain,
converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) )],[refute_0_3351,refute_0_3353]) ).
cnf(refute_0_3355,plain,
( converse(complement(converse(X_100))) != join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))
| join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) = converse(complement(converse(X_100))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_100))))),bind(Y,$fot(join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))))]]) ).
cnf(refute_0_3356,plain,
join(complement(X_100),meet(X_100,converse(complement(converse(X_100))))) = converse(complement(converse(X_100))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_100))),join(complement(X_100),meet(X_100,converse(complement(converse(X_100)))))) )],[refute_0_747,refute_0_3355]) ).
cnf(refute_0_3357,plain,
join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) = converse(complement(converse(join(B,A)))),
inference(subst,[],[refute_0_3356:[bind(X_100,$fot(join(B,A)))]]) ).
cnf(refute_0_3358,plain,
( converse(complement(converse(join(A,B)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) != converse(complement(converse(join(B,A))))
| converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) ),[0],$fot(join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))))]]) ).
cnf(refute_0_3359,plain,
( converse(complement(converse(join(A,B)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),converse(complement(converse(join(B,A))))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) )],[refute_0_3354,refute_0_3359]) ).
cnf(refute_0_3361,plain,
converse(converse(join(A,B))) = join(A,B),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(A,B)))]]) ).
cnf(refute_0_3362,plain,
complement(converse(converse(join(A,B)))) = complement(converse(converse(join(A,B)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(A,B)))))]]) ).
cnf(refute_0_3363,plain,
( complement(converse(converse(join(A,B)))) != complement(converse(converse(join(A,B))))
| converse(converse(join(A,B))) != join(A,B)
| complement(converse(converse(join(A,B)))) = complement(join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(converse(converse(join(A,B))))) ),[1,0],$fot(join(A,B))]]) ).
cnf(refute_0_3364,plain,
( converse(converse(join(A,B))) != join(A,B)
| complement(converse(converse(join(A,B)))) = complement(join(A,B)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(converse(converse(join(A,B))))) )],[refute_0_3362,refute_0_3363]) ).
cnf(refute_0_3365,plain,
complement(converse(converse(join(A,B)))) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(converse(converse(join(A,B))),join(A,B)) )],[refute_0_3361,refute_0_3364]) ).
cnf(refute_0_3366,plain,
converse(complement(converse(join(A,B)))) = complement(converse(converse(join(A,B)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(join(A,B))))]]) ).
cnf(refute_0_3367,plain,
( complement(converse(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) != complement(converse(converse(join(A,B))))
| converse(complement(converse(join(A,B)))) = complement(join(A,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(join(A,B)))))),bind(Y,$fot(complement(converse(converse(join(A,B)))))),bind(Z,$fot(complement(join(A,B))))]]) ).
cnf(refute_0_3368,plain,
( complement(converse(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) = complement(join(A,B)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),complement(converse(converse(join(A,B))))) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
converse(complement(converse(join(A,B)))) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(join(A,B))) )],[refute_0_3365,refute_0_3368]) ).
cnf(refute_0_3370,plain,
( converse(complement(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = converse(complement(converse(join(B,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) ),[0],$fot(complement(join(A,B)))]]) ).
cnf(refute_0_3371,plain,
( converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = converse(complement(converse(join(B,A)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),complement(join(A,B))) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
converse(converse(join(B,A))) = join(B,A),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(B,A)))]]) ).
cnf(refute_0_3373,plain,
complement(converse(converse(join(B,A)))) = complement(converse(converse(join(B,A)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(B,A)))))]]) ).
cnf(refute_0_3374,plain,
( complement(converse(converse(join(B,A)))) != complement(converse(converse(join(B,A))))
| converse(converse(join(B,A))) != join(B,A)
| complement(converse(converse(join(B,A)))) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(converse(converse(join(B,A))))) ),[1,0],$fot(join(B,A))]]) ).
cnf(refute_0_3375,plain,
( converse(converse(join(B,A))) != join(B,A)
| complement(converse(converse(join(B,A)))) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(converse(converse(join(B,A))))) )],[refute_0_3373,refute_0_3374]) ).
cnf(refute_0_3376,plain,
complement(converse(converse(join(B,A)))) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(converse(converse(join(B,A))),join(B,A)) )],[refute_0_3372,refute_0_3375]) ).
cnf(refute_0_3377,plain,
converse(complement(converse(join(B,A)))) = complement(converse(converse(join(B,A)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(join(B,A))))]]) ).
cnf(refute_0_3378,plain,
( complement(converse(converse(join(B,A)))) != complement(join(B,A))
| converse(complement(converse(join(B,A)))) != complement(converse(converse(join(B,A))))
| converse(complement(converse(join(B,A)))) = complement(join(B,A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(join(B,A)))))),bind(Y,$fot(complement(converse(converse(join(B,A)))))),bind(Z,$fot(complement(join(B,A))))]]) ).
cnf(refute_0_3379,plain,
( complement(converse(converse(join(B,A)))) != complement(join(B,A))
| converse(complement(converse(join(B,A)))) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),complement(converse(converse(join(B,A))))) )],[refute_0_3377,refute_0_3378]) ).
cnf(refute_0_3380,plain,
converse(complement(converse(join(B,A)))) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(join(B,A))) )],[refute_0_3376,refute_0_3379]) ).
cnf(refute_0_3381,plain,
( complement(join(A,B)) != converse(complement(converse(join(B,A))))
| converse(complement(converse(join(B,A)))) != complement(join(B,A))
| complement(join(A,B)) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,B)),complement(join(B,A))) ),[0],$fot(converse(complement(converse(join(B,A)))))]]) ).
cnf(refute_0_3382,plain,
( complement(join(A,B)) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),complement(join(B,A))) )],[refute_0_3380,refute_0_3381]) ).
cnf(refute_0_3383,plain,
( converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(join(A,B)),converse(complement(converse(join(B,A))))) )],[refute_0_3371,refute_0_3382]) ).
cnf(refute_0_3384,plain,
complement(join(A,B)) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) )],[refute_0_3360,refute_0_3383]) ).
cnf(refute_0_3385,plain,
( complement(join(A,B)) != complement(join(B,A))
| complement(join(B,A)) = complement(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(A,B)))),bind(Y,$fot(complement(join(B,A))))]]) ).
cnf(refute_0_3386,plain,
complement(join(B,A)) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(complement(join(A,B)),complement(join(B,A))) )],[refute_0_3384,refute_0_3385]) ).
cnf(refute_0_3387,plain,
complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) = complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),
inference(subst,[],[refute_0_3386:[bind(A,$fot(sk1)),bind(B,$fot(complement(composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3388,plain,
( complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) != complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1))))
| complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) != meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))
| complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) = meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),bind(Y,$fot(complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))))),bind(Z,$fot(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3389,plain,
( complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))) != meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))
| complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) = meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)),complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1))))) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) = meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(composition(meet(sk1,complement(one)),sk1)))),meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) )],[refute_0_3350,refute_0_3389]) ).
cnf(refute_0_3391,plain,
composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),
introduced(tautology,[refl,[$fot(composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))]]) ).
cnf(refute_0_3392,plain,
( complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) != meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))
| composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))
| composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) ),[1,1],$fot(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))]]) ).
cnf(refute_0_3393,plain,
( complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)) != meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))
| composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) )],[refute_0_3391,refute_0_3392]) ).
cnf(refute_0_3394,plain,
composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)),meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) )],[refute_0_3390,refute_0_3393]) ).
cnf(refute_0_3395,plain,
composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))]]) ).
cnf(refute_0_3396,plain,
( composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))
| converse(top) != top
| composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3397,plain,
( converse(top) != top
| composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) )],[refute_0_3395,refute_0_3396]) ).
cnf(refute_0_3398,plain,
composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_3397]) ).
cnf(refute_0_3399,plain,
( composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))
| composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))
| composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))),bind(Y,$fot(composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))),bind(Z,$fot(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_3400,plain,
( composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))
| composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) )],[refute_0_3398,refute_0_3399]) ).
cnf(refute_0_3401,plain,
composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),
inference(resolve,[$cnf( $equal(composition(top,complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3394,refute_0_3400]) ).
cnf(refute_0_3402,plain,
join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))))]]) ).
cnf(refute_0_3403,plain,
( composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))) ),[1,1],$fot(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3404,plain,
( composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))) != composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))))) )],[refute_0_3402,refute_0_3403]) ).
cnf(refute_0_3405,plain,
join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) = join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1))),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3401,refute_0_3404]) ).
cnf(refute_0_3406,plain,
( join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != complement(one)
| join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))
| join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),complement(one)) ),[0],$fot(join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_3407,plain,
( join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))) != complement(one)
| join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))) )],[refute_0_3405,refute_0_3406]) ).
cnf(refute_0_3408,plain,
join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(join(complement(composition(meet(sk1,complement(one)),sk1)),sk1)))),complement(one)) )],[refute_0_3349,refute_0_3407]) ).
cnf(refute_0_3409,plain,
( join(A,join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))) != join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))
| join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) != complement(one)
| join(A,complement(one)) = join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))),join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_3410,plain,
( join(A,join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))) != join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))
| join(A,complement(one)) = join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))),complement(one)) )],[refute_0_3408,refute_0_3409]) ).
cnf(refute_0_3411,plain,
join(A,complement(one)) = join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(one),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))),join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))) )],[refute_0_3279,refute_0_3410]) ).
cnf(refute_0_3412,plain,
( zero != composition(X_150,zero)
| composition(X_150,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_150,zero)))]]) ).
cnf(refute_0_3413,plain,
composition(X_150,zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_150,zero)) )],[refute_0_2066,refute_0_3412]) ).
cnf(refute_0_3414,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_3413:[bind(X_150,$fot(top))]]) ).
cnf(refute_0_3415,plain,
meet(complement(sk1),zero) = zero,
inference(subst,[],[refute_0_2352:[bind(X_88,$fot(complement(sk1)))]]) ).
cnf(refute_0_3416,plain,
converse(composition(converse(A),zero)) = composition(converse(zero),A),
inference(subst,[],[refute_0_88:[bind(X_9,$fot(zero))]]) ).
cnf(refute_0_3417,plain,
zero = composition(converse(A),zero),
inference(subst,[],[refute_0_2066:[bind(X_150,$fot(converse(A)))]]) ).
cnf(refute_0_3418,plain,
( zero != composition(converse(A),zero)
| composition(converse(A),zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(A),zero)))]]) ).
cnf(refute_0_3419,plain,
composition(converse(A),zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(A),zero)) )],[refute_0_3417,refute_0_3418]) ).
cnf(refute_0_3420,plain,
( composition(converse(A),zero) != zero
| converse(composition(converse(A),zero)) != composition(converse(zero),A)
| converse(zero) = composition(converse(zero),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),zero)),composition(converse(zero),A)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3421,plain,
( converse(composition(converse(A),zero)) != composition(converse(zero),A)
| converse(zero) = composition(converse(zero),A) ),
inference(resolve,[$cnf( $equal(composition(converse(A),zero),zero) )],[refute_0_3419,refute_0_3420]) ).
cnf(refute_0_3422,plain,
converse(zero) = composition(converse(zero),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),zero)),composition(converse(zero),A)) )],[refute_0_3416,refute_0_3421]) ).
cnf(refute_0_3423,plain,
( converse(zero) != composition(converse(zero),A)
| converse(zero) != zero
| zero = composition(converse(zero),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(zero),A)) ),[0],$fot(zero)]]) ).
cnf(refute_0_3424,plain,
( converse(zero) != composition(converse(zero),A)
| zero = composition(converse(zero),A) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1230,refute_0_3423]) ).
cnf(refute_0_3425,plain,
composition(converse(zero),A) = composition(converse(zero),A),
introduced(tautology,[refl,[$fot(composition(converse(zero),A))]]) ).
cnf(refute_0_3426,plain,
( composition(converse(zero),A) != composition(converse(zero),A)
| converse(zero) != zero
| composition(converse(zero),A) = composition(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),A),composition(converse(zero),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3427,plain,
( converse(zero) != zero
| composition(converse(zero),A) = composition(zero,A) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),A),composition(converse(zero),A)) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
composition(converse(zero),A) = composition(zero,A),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1230,refute_0_3427]) ).
cnf(refute_0_3429,plain,
( composition(converse(zero),A) != composition(zero,A)
| zero != composition(converse(zero),A)
| zero = composition(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(zero),A)) ),[1],$fot(composition(zero,A))]]) ).
cnf(refute_0_3430,plain,
( zero != composition(converse(zero),A)
| zero = composition(zero,A) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),A),composition(zero,A)) )],[refute_0_3428,refute_0_3429]) ).
cnf(refute_0_3431,plain,
( converse(zero) != composition(converse(zero),A)
| zero = composition(zero,A) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(zero),A)) )],[refute_0_3424,refute_0_3430]) ).
cnf(refute_0_3432,plain,
zero = composition(zero,A),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(zero),A)) )],[refute_0_3422,refute_0_3431]) ).
cnf(refute_0_3433,plain,
( zero != composition(zero,A)
| composition(zero,A) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,A)))]]) ).
cnf(refute_0_3434,plain,
composition(zero,A) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,A)) )],[refute_0_3432,refute_0_3433]) ).
cnf(refute_0_3435,plain,
composition(zero,sk1) = zero,
inference(subst,[],[refute_0_3434:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3436,plain,
composition(meet(sk1,complement(one)),sk1) = composition(meet(sk1,complement(one)),sk1),
introduced(tautology,[refl,[$fot(composition(meet(sk1,complement(one)),sk1))]]) ).
cnf(refute_0_3437,plain,
( composition(meet(sk1,complement(one)),sk1) != composition(meet(sk1,complement(one)),sk1)
| meet(sk1,complement(one)) != zero
| composition(meet(sk1,complement(one)),sk1) = composition(zero,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(sk1,complement(one)),sk1),composition(meet(sk1,complement(one)),sk1)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3438,plain,
( meet(sk1,complement(one)) != zero
| composition(meet(sk1,complement(one)),sk1) = composition(zero,sk1) ),
inference(resolve,[$cnf( $equal(composition(meet(sk1,complement(one)),sk1),composition(meet(sk1,complement(one)),sk1)) )],[refute_0_3436,refute_0_3437]) ).
cnf(refute_0_3439,plain,
composition(meet(sk1,complement(one)),sk1) = composition(zero,sk1),
inference(resolve,[$cnf( $equal(meet(sk1,complement(one)),zero) )],[refute_0_2942,refute_0_3438]) ).
cnf(refute_0_3440,plain,
( composition(meet(sk1,complement(one)),sk1) != composition(zero,sk1)
| composition(zero,sk1) != zero
| composition(meet(sk1,complement(one)),sk1) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(meet(sk1,complement(one)),sk1))),bind(Y,$fot(composition(zero,sk1))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3441,plain,
( composition(zero,sk1) != zero
| composition(meet(sk1,complement(one)),sk1) = zero ),
inference(resolve,[$cnf( $equal(composition(meet(sk1,complement(one)),sk1),composition(zero,sk1)) )],[refute_0_3439,refute_0_3440]) ).
cnf(refute_0_3442,plain,
composition(meet(sk1,complement(one)),sk1) = zero,
inference(resolve,[$cnf( $equal(composition(zero,sk1),zero) )],[refute_0_3435,refute_0_3441]) ).
cnf(refute_0_3443,plain,
meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),
introduced(tautology,[refl,[$fot(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))]]) ).
cnf(refute_0_3444,plain,
( composition(meet(sk1,complement(one)),sk1) != zero
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) != meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = meet(complement(sk1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3445,plain,
( composition(meet(sk1,complement(one)),sk1) != zero
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = meet(complement(sk1),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) )],[refute_0_3443,refute_0_3444]) ).
cnf(refute_0_3446,plain,
meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = meet(complement(sk1),zero),
inference(resolve,[$cnf( $equal(composition(meet(sk1,complement(one)),sk1),zero) )],[refute_0_3442,refute_0_3445]) ).
cnf(refute_0_3447,plain,
( meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) != meet(complement(sk1),zero)
| meet(complement(sk1),zero) != zero
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))),bind(Y,$fot(meet(complement(sk1),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3448,plain,
( meet(complement(sk1),zero) != zero
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),meet(complement(sk1),zero)) )],[refute_0_3446,refute_0_3447]) ).
cnf(refute_0_3449,plain,
meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(sk1),zero),zero) )],[refute_0_3415,refute_0_3448]) ).
cnf(refute_0_3450,plain,
composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),
introduced(tautology,[refl,[$fot(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_3451,plain,
( composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) != composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))
| meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) != zero
| composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3452,plain,
( meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)) != zero
| composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)))) )],[refute_0_3450,refute_0_3451]) ).
cnf(refute_0_3453,plain,
composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = composition(top,zero),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(meet(sk1,complement(one)),sk1)),zero) )],[refute_0_3449,refute_0_3452]) ).
cnf(refute_0_3454,plain,
( composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) != composition(top,zero)
| composition(top,zero) != zero
| composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))))),bind(Y,$fot(composition(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3455,plain,
( composition(top,zero) != zero
| composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),composition(top,zero)) )],[refute_0_3453,refute_0_3454]) ).
cnf(refute_0_3456,plain,
composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) = zero,
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_3414,refute_0_3455]) ).
cnf(refute_0_3457,plain,
join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A),
introduced(tautology,[refl,[$fot(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))]]) ).
cnf(refute_0_3458,plain,
( composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) != zero
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) != join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3459,plain,
( composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))) != zero
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) )],[refute_0_3457,refute_0_3458]) ).
cnf(refute_0_3460,plain,
join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),zero) )],[refute_0_3456,refute_0_3459]) ).
cnf(refute_0_3461,plain,
( join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) != join(zero,A)
| join(zero,A) != A
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_3462,plain,
( join(zero,A) != A
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = A ),
inference(resolve,[$cnf( $equal(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A),join(zero,A)) )],[refute_0_3460,refute_0_3461]) ).
cnf(refute_0_3463,plain,
join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1796,refute_0_3462]) ).
cnf(refute_0_3464,plain,
join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) = join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),
introduced(tautology,[refl,[$fot(join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)))]]) ).
cnf(refute_0_3465,plain,
( join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) != join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))
| join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) != A
| join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) = join(complement(one),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_3466,plain,
( join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A) != A
| join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) = join(complement(one),A) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))) )],[refute_0_3464,refute_0_3465]) ).
cnf(refute_0_3467,plain,
join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) = join(complement(one),A),
inference(resolve,[$cnf( $equal(join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A),A) )],[refute_0_3463,refute_0_3466]) ).
cnf(refute_0_3468,plain,
( join(A,complement(one)) != join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))
| join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)) != join(complement(one),A)
| join(A,complement(one)) = join(complement(one),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(one)),join(complement(one),A)) ),[0],$fot(join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)))]]) ).
cnf(refute_0_3469,plain,
( join(A,complement(one)) != join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))
| join(A,complement(one)) = join(complement(one),A) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A)),join(complement(one),A)) )],[refute_0_3467,refute_0_3468]) ).
cnf(refute_0_3470,plain,
join(A,complement(one)) = join(complement(one),A),
inference(resolve,[$cnf( $equal(join(A,complement(one)),join(complement(one),join(composition(top,meet(complement(sk1),composition(meet(sk1,complement(one)),sk1))),A))) )],[refute_0_3411,refute_0_3469]) ).
cnf(refute_0_3471,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(complement(one),join(sk1,converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_3470:[bind(A,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3472,plain,
( join(complement(one),join(sk1,converse(meet(one,complement(sk1))))) != join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) != join(complement(one),join(sk1,converse(meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))),bind(Y,$fot(join(complement(one),join(sk1,converse(meet(one,complement(sk1))))))),bind(Z,$fot(join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3473,plain,
( join(complement(one),join(sk1,converse(meet(one,complement(sk1))))) != join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)),join(complement(one),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3471,refute_0_3472]) ).
cnf(refute_0_3474,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,converse(meet(one,complement(sk1))))),join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))) )],[refute_0_3278,refute_0_3473]) ).
cnf(refute_0_3475,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) != join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))
| join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) != join(sk1,complement(converse(sk1)))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,complement(converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))),bind(Y,$fot(join(sk1,join(complement(one),converse(meet(one,complement(sk1))))))),bind(Z,$fot(join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_3476,plain,
( join(sk1,join(complement(one),converse(meet(one,complement(sk1))))) != join(sk1,complement(converse(sk1)))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)),join(sk1,join(complement(one),converse(meet(one,complement(sk1)))))) )],[refute_0_3474,refute_0_3475]) ).
cnf(refute_0_3477,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) = join(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(sk1))))),join(sk1,complement(converse(sk1)))) )],[refute_0_3247,refute_0_3476]) ).
cnf(refute_0_3478,plain,
meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) = meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))))]]) ).
cnf(refute_0_3479,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) != join(sk1,complement(converse(sk1)))
| meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) != meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))
| meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) = meet(complement(one),join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))),meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))) ),[1,1],$fot(join(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_3480,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)) != join(sk1,complement(converse(sk1)))
| meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) = meet(complement(one),join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))),meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))) )],[refute_0_3478,refute_0_3479]) ).
cnf(refute_0_3481,plain,
meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) = meet(complement(one),join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)),join(sk1,complement(converse(sk1)))) )],[refute_0_3477,refute_0_3480]) ).
cnf(refute_0_3482,plain,
( complement(one) != meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))
| meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))) != meet(complement(one),join(sk1,complement(converse(sk1))))
| complement(one) = meet(complement(one),join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(sk1,complement(converse(sk1))))) ),[0],$fot(meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))))]]) ).
cnf(refute_0_3483,plain,
( complement(one) != meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))
| complement(one) = meet(complement(one),join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one))),meet(complement(one),join(sk1,complement(converse(sk1))))) )],[refute_0_3481,refute_0_3482]) ).
cnf(refute_0_3484,plain,
complement(one) = meet(complement(one),join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(join(sk1,converse(meet(one,complement(sk1)))),complement(one)))) )],[refute_0_3131,refute_0_3483]) ).
cnf(refute_0_3485,plain,
( complement(one) != meet(complement(one),join(sk1,complement(converse(sk1))))
| meet(complement(one),join(sk1,complement(converse(sk1)))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_3486,plain,
meet(complement(one),join(sk1,complement(converse(sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(sk1,complement(converse(sk1))))) )],[refute_0_3484,refute_0_3485]) ).
cnf(refute_0_3487,plain,
( join(sk1,complement(converse(sk1))) != join(meet(complement(one),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))
| meet(complement(one),join(sk1,complement(converse(sk1)))) != complement(one)
| join(sk1,complement(converse(sk1))) = join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(meet(complement(one),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3488,plain,
( join(sk1,complement(converse(sk1))) != join(meet(complement(one),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) = join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(sk1,complement(converse(sk1)))),complement(one)) )],[refute_0_3486,refute_0_3487]) ).
cnf(refute_0_3489,plain,
join(sk1,complement(converse(sk1))) = join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(meet(complement(one),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) )],[refute_0_3091,refute_0_3488]) ).
cnf(refute_0_3490,plain,
meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) = meet(complement(complement(one)),join(sk1,complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_3491,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) != meet(complement(complement(one)),join(sk1,complement(converse(sk1))))
| meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) = meet(one,join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3492,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) = meet(one,join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(sk1,complement(converse(sk1)))),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) = meet(one,join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_3492]) ).
cnf(refute_0_3494,plain,
join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) = join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_3495,plain,
( join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) != join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))
| meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) != meet(one,join(sk1,complement(converse(sk1))))
| join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) ),[1,1],$fot(meet(one,join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_3496,plain,
( meet(complement(complement(one)),join(sk1,complement(converse(sk1)))) != meet(one,join(sk1,complement(converse(sk1))))
| join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(sk1,complement(converse(sk1)))),meet(one,join(sk1,complement(converse(sk1))))) )],[refute_0_3493,refute_0_3496]) ).
cnf(refute_0_3498,plain,
( join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))) != join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) != join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) ),[1],$fot(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_3499,plain,
( join(sk1,complement(converse(sk1))) != join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1))))),join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))) )],[refute_0_3497,refute_0_3498]) ).
cnf(refute_0_3500,plain,
join(sk1,complement(converse(sk1))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(complement(one),meet(complement(complement(one)),join(sk1,complement(converse(sk1)))))) )],[refute_0_3489,refute_0_3499]) ).
cnf(refute_0_3501,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_49:[bind(A,$fot(one))]]) ).
cnf(refute_0_3502,plain,
join(sk1,join(meet(one,complement(sk1)),join(X_212,converse(X_213)))) = join(one,join(X_212,converse(X_213))),
inference(subst,[],[refute_0_1711:[bind(C,$fot(join(X_212,converse(X_213))))]]) ).
cnf(refute_0_3503,plain,
join(meet(one,complement(sk1)),join(X_212,converse(X_213))) = join(X_212,join(meet(one,complement(sk1)),converse(X_213))),
inference(subst,[],[refute_0_955:[bind(A,$fot(meet(one,complement(sk1)))),bind(B,$fot(X_212)),bind(X_13,$fot(X_213))]]) ).
cnf(refute_0_3504,plain,
( join(meet(one,complement(sk1)),join(X_212,converse(X_213))) != join(X_212,join(meet(one,complement(sk1)),converse(X_213)))
| join(sk1,join(meet(one,complement(sk1)),join(X_212,converse(X_213)))) != join(one,join(X_212,converse(X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(one,join(X_212,converse(X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),join(X_212,converse(X_213)))),join(one,join(X_212,converse(X_213)))) ),[0,1],$fot(join(X_212,join(meet(one,complement(sk1)),converse(X_213))))]]) ).
cnf(refute_0_3505,plain,
( join(sk1,join(meet(one,complement(sk1)),join(X_212,converse(X_213)))) != join(one,join(X_212,converse(X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(one,join(X_212,converse(X_213))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_212,converse(X_213))),join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) )],[refute_0_3503,refute_0_3504]) ).
cnf(refute_0_3506,plain,
join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(one,join(X_212,converse(X_213))),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),join(X_212,converse(X_213)))),join(one,join(X_212,converse(X_213)))) )],[refute_0_3502,refute_0_3505]) ).
cnf(refute_0_3507,plain,
join(one,converse(X_213)) = converse(join(one,X_213)),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(X_213))]]) ).
cnf(refute_0_3508,plain,
join(X_212,join(one,converse(X_213))) = join(X_212,join(one,converse(X_213))),
introduced(tautology,[refl,[$fot(join(X_212,join(one,converse(X_213))))]]) ).
cnf(refute_0_3509,plain,
( join(X_212,join(one,converse(X_213))) != join(X_212,join(one,converse(X_213)))
| join(one,converse(X_213)) != converse(join(one,X_213))
| join(X_212,join(one,converse(X_213))) = join(X_212,converse(join(one,X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_212,join(one,converse(X_213))),join(X_212,join(one,converse(X_213)))) ),[1,1],$fot(converse(join(one,X_213)))]]) ).
cnf(refute_0_3510,plain,
( join(one,converse(X_213)) != converse(join(one,X_213))
| join(X_212,join(one,converse(X_213))) = join(X_212,converse(join(one,X_213))) ),
inference(resolve,[$cnf( $equal(join(X_212,join(one,converse(X_213))),join(X_212,join(one,converse(X_213)))) )],[refute_0_3508,refute_0_3509]) ).
cnf(refute_0_3511,plain,
join(X_212,join(one,converse(X_213))) = join(X_212,converse(join(one,X_213))),
inference(resolve,[$cnf( $equal(join(one,converse(X_213)),converse(join(one,X_213))) )],[refute_0_3507,refute_0_3510]) ).
cnf(refute_0_3512,plain,
join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) = join(X_49,join(sk1,join(meet(one,complement(sk1)),X_209))),
inference(subst,[],[refute_0_379:[bind(A,$fot(join(meet(one,complement(sk1)),X_209))),bind(X_50,$fot(sk1))]]) ).
cnf(refute_0_3513,plain,
join(sk1,join(meet(one,complement(sk1)),X_209)) = join(one,X_209),
inference(subst,[],[refute_0_1711:[bind(C,$fot(X_209))]]) ).
cnf(refute_0_3514,plain,
( join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) != join(X_49,join(sk1,join(meet(one,complement(sk1)),X_209)))
| join(sk1,join(meet(one,complement(sk1)),X_209)) != join(one,X_209)
| join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) = join(X_49,join(one,X_209)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)),join(X_49,join(sk1,join(meet(one,complement(sk1)),X_209)))) ),[1,1],$fot(join(one,X_209))]]) ).
cnf(refute_0_3515,plain,
( join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) != join(X_49,join(sk1,join(meet(one,complement(sk1)),X_209)))
| join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) = join(X_49,join(one,X_209)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(one,complement(sk1)),X_209)),join(one,X_209)) )],[refute_0_3513,refute_0_3514]) ).
cnf(refute_0_3516,plain,
join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) = join(X_49,join(one,X_209)),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)),join(X_49,join(sk1,join(meet(one,complement(sk1)),X_209)))) )],[refute_0_3512,refute_0_3515]) ).
cnf(refute_0_3517,plain,
join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) = join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209))),
inference(subst,[],[refute_0_2199:[bind(X_199,$fot(sk1)),bind(X_200,$fot(join(meet(one,complement(sk1)),X_209))),bind(X_201,$fot(X_49))]]) ).
cnf(refute_0_3518,plain,
( join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) != join(X_49,join(one,X_209))
| join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) != join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209)))
| join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209))) = join(X_49,join(one,X_209)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)),join(X_49,join(one,X_209))) ),[0],$fot(join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209))))]]) ).
cnf(refute_0_3519,plain,
( join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)) != join(X_49,join(one,X_209))
| join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209))) = join(X_49,join(one,X_209)) ),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)),join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209)))) )],[refute_0_3517,refute_0_3518]) ).
cnf(refute_0_3520,plain,
join(sk1,join(X_49,join(meet(one,complement(sk1)),X_209))) = join(X_49,join(one,X_209)),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(sk1)),X_209),join(X_49,sk1)),join(X_49,join(one,X_209))) )],[refute_0_3516,refute_0_3519]) ).
cnf(refute_0_3521,plain,
join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(X_212,join(one,converse(X_213))),
inference(subst,[],[refute_0_3520:[bind(X_209,$fot(converse(X_213))),bind(X_49,$fot(X_212))]]) ).
cnf(refute_0_3522,plain,
( join(X_212,join(one,converse(X_213))) != join(X_212,converse(join(one,X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) != join(X_212,join(one,converse(X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(X_212,converse(join(one,X_213))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))))),bind(Y,$fot(join(X_212,join(one,converse(X_213))))),bind(Z,$fot(join(X_212,converse(join(one,X_213)))))]]) ).
cnf(refute_0_3523,plain,
( join(X_212,join(one,converse(X_213))) != join(X_212,converse(join(one,X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(X_212,converse(join(one,X_213))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))),join(X_212,join(one,converse(X_213)))) )],[refute_0_3521,refute_0_3522]) ).
cnf(refute_0_3524,plain,
join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) = join(X_212,converse(join(one,X_213))),
inference(resolve,[$cnf( $equal(join(X_212,join(one,converse(X_213))),join(X_212,converse(join(one,X_213)))) )],[refute_0_3511,refute_0_3523]) ).
cnf(refute_0_3525,plain,
( join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) != join(X_212,converse(join(one,X_213)))
| join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) != join(one,join(X_212,converse(X_213)))
| join(X_212,converse(join(one,X_213))) = join(one,join(X_212,converse(X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))),join(one,join(X_212,converse(X_213)))) ),[0],$fot(join(X_212,converse(join(one,X_213))))]]) ).
cnf(refute_0_3526,plain,
( join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))) != join(one,join(X_212,converse(X_213)))
| join(X_212,converse(join(one,X_213))) = join(one,join(X_212,converse(X_213))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))),join(X_212,converse(join(one,X_213)))) )],[refute_0_3524,refute_0_3525]) ).
cnf(refute_0_3527,plain,
join(X_212,converse(join(one,X_213))) = join(one,join(X_212,converse(X_213))),
inference(resolve,[$cnf( $equal(join(sk1,join(X_212,join(meet(one,complement(sk1)),converse(X_213)))),join(one,join(X_212,converse(X_213)))) )],[refute_0_3506,refute_0_3526]) ).
cnf(refute_0_3528,plain,
join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,join(X_212,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),
inference(subst,[],[refute_0_3527:[bind(X_213,$fot(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))]]) ).
cnf(refute_0_3529,plain,
converse(complement(composition(X_97,top))) = complement(converse(composition(X_97,top))),
inference(subst,[],[refute_0_901:[bind(A,$fot(composition(X_97,top)))]]) ).
cnf(refute_0_3530,plain,
composition(converse(complement(composition(X_97,top))),X_97) = composition(converse(complement(composition(X_97,top))),X_97),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(X_97,top))),X_97))]]) ).
cnf(refute_0_3531,plain,
( composition(converse(complement(composition(X_97,top))),X_97) != composition(converse(complement(composition(X_97,top))),X_97)
| converse(complement(composition(X_97,top))) != complement(converse(composition(X_97,top)))
| composition(converse(complement(composition(X_97,top))),X_97) = composition(complement(converse(composition(X_97,top))),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(X_97,top))),X_97),composition(converse(complement(composition(X_97,top))),X_97)) ),[1,0],$fot(complement(converse(composition(X_97,top))))]]) ).
cnf(refute_0_3532,plain,
( converse(complement(composition(X_97,top))) != complement(converse(composition(X_97,top)))
| composition(converse(complement(composition(X_97,top))),X_97) = composition(complement(converse(composition(X_97,top))),X_97) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_97,top))),X_97),composition(converse(complement(composition(X_97,top))),X_97)) )],[refute_0_3530,refute_0_3531]) ).
cnf(refute_0_3533,plain,
composition(converse(complement(composition(X_97,top))),X_97) = composition(complement(converse(composition(X_97,top))),X_97),
inference(resolve,[$cnf( $equal(converse(complement(composition(X_97,top))),complement(converse(composition(X_97,top)))) )],[refute_0_3529,refute_0_3532]) ).
cnf(refute_0_3534,plain,
( composition(converse(complement(composition(X_97,top))),X_97) != composition(complement(converse(composition(X_97,top))),X_97)
| zero != composition(converse(complement(composition(X_97,top))),X_97)
| zero = composition(complement(converse(composition(X_97,top))),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_97,top))),X_97)) ),[1],$fot(composition(complement(converse(composition(X_97,top))),X_97))]]) ).
cnf(refute_0_3535,plain,
( zero != composition(converse(complement(composition(X_97,top))),X_97)
| zero = composition(complement(converse(composition(X_97,top))),X_97) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_97,top))),X_97),composition(complement(converse(composition(X_97,top))),X_97)) )],[refute_0_3533,refute_0_3534]) ).
cnf(refute_0_3536,plain,
zero = composition(complement(converse(composition(X_97,top))),X_97),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_97,top))),X_97)) )],[refute_0_1257,refute_0_3535]) ).
cnf(refute_0_3537,plain,
zero = composition(complement(converse(composition(join(X_365,X_366),top))),join(X_365,X_366)),
inference(subst,[],[refute_0_3536:[bind(X_97,$fot(join(X_365,X_366)))]]) ).
cnf(refute_0_3538,plain,
converse(composition(join(X_10,X_11),B)) = composition(converse(B),converse(join(X_10,X_11))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(join(X_10,X_11)))]]) ).
cnf(refute_0_3539,plain,
( converse(composition(join(X_10,X_11),B)) != composition(converse(B),converse(join(X_10,X_11)))
| converse(join(X_10,X_11)) != converse(join(X_11,X_10))
| converse(composition(join(X_10,X_11),B)) = composition(converse(B),converse(join(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_10,X_11),B)),composition(converse(B),converse(join(X_10,X_11)))) ),[1,1],$fot(converse(join(X_11,X_10)))]]) ).
cnf(refute_0_3540,plain,
( converse(composition(join(X_10,X_11),B)) != composition(converse(B),converse(join(X_10,X_11)))
| converse(composition(join(X_10,X_11),B)) = composition(converse(B),converse(join(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,X_11)),converse(join(X_11,X_10))) )],[refute_0_576,refute_0_3539]) ).
cnf(refute_0_3541,plain,
converse(composition(join(X_10,X_11),B)) = composition(converse(B),converse(join(X_11,X_10))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,X_11),B)),composition(converse(B),converse(join(X_10,X_11)))) )],[refute_0_3538,refute_0_3540]) ).
cnf(refute_0_3542,plain,
composition(converse(B),converse(join(X_11,X_10))) = converse(composition(join(X_11,X_10),B)),
inference(subst,[],[refute_0_1249:[bind(A,$fot(join(X_11,X_10)))]]) ).
cnf(refute_0_3543,plain,
( composition(converse(B),converse(join(X_11,X_10))) != converse(composition(join(X_11,X_10),B))
| converse(composition(join(X_10,X_11),B)) != composition(converse(B),converse(join(X_11,X_10)))
| converse(composition(join(X_10,X_11),B)) = converse(composition(join(X_11,X_10),B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_10,X_11),B)),composition(converse(B),converse(join(X_11,X_10)))) ),[1],$fot(converse(composition(join(X_11,X_10),B)))]]) ).
cnf(refute_0_3544,plain,
( converse(composition(join(X_10,X_11),B)) != composition(converse(B),converse(join(X_11,X_10)))
| converse(composition(join(X_10,X_11),B)) = converse(composition(join(X_11,X_10),B)) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(join(X_11,X_10))),converse(composition(join(X_11,X_10),B))) )],[refute_0_3542,refute_0_3543]) ).
cnf(refute_0_3545,plain,
converse(composition(join(X_10,X_11),B)) = converse(composition(join(X_11,X_10),B)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,X_11),B)),composition(converse(B),converse(join(X_11,X_10)))) )],[refute_0_3541,refute_0_3544]) ).
cnf(refute_0_3546,plain,
converse(composition(join(X_365,X_366),top)) = converse(composition(join(X_366,X_365),top)),
inference(subst,[],[refute_0_3545:[bind(B,$fot(top)),bind(X_10,$fot(X_365)),bind(X_11,$fot(X_366))]]) ).
cnf(refute_0_3547,plain,
( converse(composition(join(X_365,X_366),top)) != converse(composition(join(X_366,X_365),top))
| zero != composition(complement(converse(composition(join(X_365,X_366),top))),join(X_365,X_366))
| zero = composition(complement(converse(composition(join(X_366,X_365),top))),join(X_365,X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(join(X_365,X_366),top))),join(X_365,X_366))) ),[1,0,0],$fot(converse(composition(join(X_366,X_365),top)))]]) ).
cnf(refute_0_3548,plain,
( zero != composition(complement(converse(composition(join(X_365,X_366),top))),join(X_365,X_366))
| zero = composition(complement(converse(composition(join(X_366,X_365),top))),join(X_365,X_366)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_365,X_366),top)),converse(composition(join(X_366,X_365),top))) )],[refute_0_3546,refute_0_3547]) ).
cnf(refute_0_3549,plain,
zero = composition(complement(converse(composition(join(X_366,X_365),top))),join(X_365,X_366)),
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(join(X_365,X_366),top))),join(X_365,X_366))) )],[refute_0_3537,refute_0_3548]) ).
cnf(refute_0_3550,plain,
zero = composition(complement(converse(composition(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)),
inference(subst,[],[refute_0_3549:[bind(X_365,$fot(converse(meet(one,converse(join(sk1,complement(one))))))),bind(X_366,$fot(sk1))]]) ).
cnf(refute_0_3551,plain,
join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = complement(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_708:[bind(B,$fot(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3552,plain,
complement(sk1) = join(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(converse(meet(one,converse(join(sk1,complement(one))))))),bind(X_87,$fot(complement(sk1)))]]) ).
cnf(refute_0_3553,plain,
meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = complement(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(converse(meet(one,converse(join(sk1,complement(one))))))),bind(X_31,$fot(sk1))]]) ).
cnf(refute_0_3554,plain,
converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_293:[bind(A,$fot(join(converse(sk1),complement(converse(join(sk1,complement(one))))))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_3555,plain,
top = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_162:[bind(X_49,$fot(converse(sk1))),bind(X_50,$fot(meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_3556,plain,
join(complement(one),converse(sk1)) = join(meet(converse(sk1),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(converse(sk1))),bind(X_99,$fot(join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_3557,plain,
converse(sk1) = meet(converse(sk1),join(complement(one),meet(one,converse(sk1)))),
inference(subst,[],[refute_0_238:[bind(X_107,$fot(one)),bind(X_108,$fot(converse(sk1)))]]) ).
cnf(refute_0_3558,plain,
( converse(sk1) != meet(converse(sk1),join(complement(one),meet(one,converse(sk1))))
| meet(one,converse(sk1)) != converse(sk1)
| converse(sk1) = meet(converse(sk1),join(complement(one),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(one),meet(one,converse(sk1))))) ),[1,1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_3559,plain,
( converse(sk1) != meet(converse(sk1),join(complement(one),meet(one,converse(sk1))))
| converse(sk1) = meet(converse(sk1),join(complement(one),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(sk1)),converse(sk1)) )],[refute_0_2541,refute_0_3558]) ).
cnf(refute_0_3560,plain,
converse(sk1) = meet(converse(sk1),join(complement(one),converse(sk1))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(one),meet(one,converse(sk1))))) )],[refute_0_3557,refute_0_3559]) ).
cnf(refute_0_3561,plain,
( converse(sk1) != meet(converse(sk1),join(complement(one),converse(sk1)))
| meet(converse(sk1),join(complement(one),converse(sk1))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_3562,plain,
meet(converse(sk1),join(complement(one),converse(sk1))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(one),converse(sk1)))) )],[refute_0_3560,refute_0_3561]) ).
cnf(refute_0_3563,plain,
( join(complement(one),converse(sk1)) != join(meet(converse(sk1),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| meet(converse(sk1),join(complement(one),converse(sk1))) != converse(sk1)
| join(complement(one),converse(sk1)) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(sk1)),join(meet(converse(sk1),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_3564,plain,
( join(complement(one),converse(sk1)) != join(meet(converse(sk1),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| join(complement(one),converse(sk1)) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(one),converse(sk1))),converse(sk1)) )],[refute_0_3562,refute_0_3563]) ).
cnf(refute_0_3565,plain,
join(complement(one),converse(sk1)) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),join(meet(converse(sk1),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) )],[refute_0_3556,refute_0_3564]) ).
cnf(refute_0_3566,plain,
converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(X_11,join(complement(one),meet(complement(one),complement(converse(complement(one))))))),
inference(subst,[],[refute_0_599:[bind(B,$fot(meet(complement(one),complement(converse(complement(one)))))),bind(X_10,$fot(complement(one)))]]) ).
cnf(refute_0_3567,plain,
complement(one) = join(meet(complement(one),converse(complement(one))),meet(complement(converse(complement(one))),complement(one))),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(complement(one))),bind(X_88,$fot(converse(complement(one))))]]) ).
cnf(refute_0_3568,plain,
( complement(one) != join(meet(complement(one),converse(complement(one))),meet(complement(converse(complement(one))),complement(one)))
| meet(complement(one),converse(complement(one))) != complement(one)
| complement(one) = join(complement(one),meet(complement(converse(complement(one))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),converse(complement(one))),meet(complement(converse(complement(one))),complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3569,plain,
( complement(one) != join(meet(complement(one),converse(complement(one))),meet(complement(converse(complement(one))),complement(one)))
| complement(one) = join(complement(one),meet(complement(converse(complement(one))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_3154,refute_0_3568]) ).
cnf(refute_0_3570,plain,
complement(one) = join(complement(one),meet(complement(converse(complement(one))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),converse(complement(one))),meet(complement(converse(complement(one))),complement(one)))) )],[refute_0_3567,refute_0_3569]) ).
cnf(refute_0_3571,plain,
meet(complement(converse(complement(one))),complement(one)) = meet(complement(one),complement(converse(complement(one)))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(complement(one))),bind(X_27,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_3572,plain,
join(complement(one),meet(complement(converse(complement(one))),complement(one))) = join(complement(one),meet(complement(converse(complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_3573,plain,
( join(complement(one),meet(complement(converse(complement(one))),complement(one))) != join(complement(one),meet(complement(converse(complement(one))),complement(one)))
| meet(complement(converse(complement(one))),complement(one)) != meet(complement(one),complement(converse(complement(one))))
| join(complement(one),meet(complement(converse(complement(one))),complement(one))) = join(complement(one),meet(complement(one),complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(one))),complement(one))),join(complement(one),meet(complement(converse(complement(one))),complement(one)))) ),[1,1],$fot(meet(complement(one),complement(converse(complement(one)))))]]) ).
cnf(refute_0_3574,plain,
( meet(complement(converse(complement(one))),complement(one)) != meet(complement(one),complement(converse(complement(one))))
| join(complement(one),meet(complement(converse(complement(one))),complement(one))) = join(complement(one),meet(complement(one),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(one))),complement(one))),join(complement(one),meet(complement(converse(complement(one))),complement(one)))) )],[refute_0_3572,refute_0_3573]) ).
cnf(refute_0_3575,plain,
join(complement(one),meet(complement(converse(complement(one))),complement(one))) = join(complement(one),meet(complement(one),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(one))),complement(one)),meet(complement(one),complement(converse(complement(one))))) )],[refute_0_3571,refute_0_3574]) ).
cnf(refute_0_3576,plain,
( complement(one) != join(complement(one),meet(complement(converse(complement(one))),complement(one)))
| join(complement(one),meet(complement(converse(complement(one))),complement(one))) != join(complement(one),meet(complement(one),complement(converse(complement(one)))))
| complement(one) = join(complement(one),meet(complement(one),complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),join(complement(one),meet(complement(one),complement(converse(complement(one)))))) ),[0],$fot(join(complement(one),meet(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_3577,plain,
( complement(one) != join(complement(one),meet(complement(converse(complement(one))),complement(one)))
| complement(one) = join(complement(one),meet(complement(one),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(one))),complement(one))),join(complement(one),meet(complement(one),complement(converse(complement(one)))))) )],[refute_0_3575,refute_0_3576]) ).
cnf(refute_0_3578,plain,
complement(one) = join(complement(one),meet(complement(one),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(converse(complement(one))),complement(one)))) )],[refute_0_3570,refute_0_3577]) ).
cnf(refute_0_3579,plain,
( complement(one) != join(complement(one),meet(complement(one),complement(converse(complement(one)))))
| join(complement(one),meet(complement(one),complement(converse(complement(one))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(join(complement(one),meet(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3580,plain,
join(complement(one),meet(complement(one),complement(converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(one),complement(converse(complement(one)))))) )],[refute_0_3578,refute_0_3579]) ).
cnf(refute_0_3581,plain,
( converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(X_11,join(complement(one),meet(complement(one),complement(converse(complement(one)))))))
| join(complement(one),meet(complement(one),complement(converse(complement(one))))) != complement(one)
| converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(X_11,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(X_11,join(complement(one),meet(complement(one),complement(converse(complement(one)))))))) ),[1,0,1],$fot(complement(one))]]) ).
cnf(refute_0_3582,plain,
( converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(X_11,join(complement(one),meet(complement(one),complement(converse(complement(one)))))))
| converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(X_11,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),complement(converse(complement(one))))),complement(one)) )],[refute_0_3580,refute_0_3581]) ).
cnf(refute_0_3583,plain,
converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(X_11,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(X_11,join(complement(one),meet(complement(one),complement(converse(complement(one)))))))) )],[refute_0_3566,refute_0_3582]) ).
cnf(refute_0_3584,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_1798:[bind(A,$fot(one))]]) ).
cnf(refute_0_3585,plain,
meet(complement(one),one) = meet(one,complement(one)),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(complement(one)))]]) ).
cnf(refute_0_3586,plain,
( meet(complement(one),one) != meet(one,complement(one))
| meet(one,complement(one)) != zero
| meet(complement(one),one) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(one),one))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3587,plain,
( meet(one,complement(one)) != zero
| meet(complement(one),one) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),one),meet(one,complement(one))) )],[refute_0_3585,refute_0_3586]) ).
cnf(refute_0_3588,plain,
meet(complement(one),one) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_3584,refute_0_3587]) ).
cnf(refute_0_3589,plain,
join(complement(one),zero) = complement(one),
inference(subst,[],[refute_0_783:[bind(X_89,$fot(complement(one)))]]) ).
cnf(refute_0_3590,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3591,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3592,plain,
( meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3590,refute_0_3591]) ).
cnf(refute_0_3593,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_0_3219,refute_0_3592]) ).
cnf(refute_0_3594,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),zero)
| join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),meet(one,converse(complement(one)))))),bind(Y,$fot(join(complement(one),zero))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_3595,plain,
( join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),zero)) )],[refute_0_3593,refute_0_3594]) ).
cnf(refute_0_3596,plain,
join(complement(one),meet(one,converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),zero),complement(one)) )],[refute_0_3589,refute_0_3595]) ).
cnf(refute_0_3597,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) != complement(one)
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(one)) ),[0],$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3598,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),complement(one)) )],[refute_0_3596,refute_0_3597]) ).
cnf(refute_0_3599,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3172,refute_0_3598]) ).
cnf(refute_0_3600,plain,
complement(converse(complement(one))) = complement(converse(complement(one))),
introduced(tautology,[refl,[$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_3601,plain,
( complement(converse(complement(one))) != complement(converse(complement(one)))
| converse(complement(one)) != complement(one)
| complement(converse(complement(one))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3602,plain,
( converse(complement(one)) != complement(one)
| complement(converse(complement(one))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) )],[refute_0_3600,refute_0_3601]) ).
cnf(refute_0_3603,plain,
complement(converse(complement(one))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_3599,refute_0_3602]) ).
cnf(refute_0_3604,plain,
( complement(complement(one)) != one
| complement(converse(complement(one))) != complement(complement(one))
| complement(converse(complement(one))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(complement(one))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3605,plain,
( complement(complement(one)) != one
| complement(converse(complement(one))) = one ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(complement(one))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
complement(converse(complement(one))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1995,refute_0_3605]) ).
cnf(refute_0_3607,plain,
meet(complement(one),complement(converse(complement(one)))) = meet(complement(one),complement(converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(one),complement(converse(complement(one)))))]]) ).
cnf(refute_0_3608,plain,
( complement(converse(complement(one))) != one
| meet(complement(one),complement(converse(complement(one)))) != meet(complement(one),complement(converse(complement(one))))
| meet(complement(one),complement(converse(complement(one)))) = meet(complement(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),complement(converse(complement(one)))),meet(complement(one),complement(converse(complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3609,plain,
( complement(converse(complement(one))) != one
| meet(complement(one),complement(converse(complement(one)))) = meet(complement(one),one) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(one)))),meet(complement(one),complement(converse(complement(one))))) )],[refute_0_3607,refute_0_3608]) ).
cnf(refute_0_3610,plain,
meet(complement(one),complement(converse(complement(one)))) = meet(complement(one),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_3606,refute_0_3609]) ).
cnf(refute_0_3611,plain,
( meet(complement(one),complement(converse(complement(one)))) != meet(complement(one),one)
| meet(complement(one),one) != zero
| meet(complement(one),complement(converse(complement(one)))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(one),complement(converse(complement(one)))))),bind(Y,$fot(meet(complement(one),one))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3612,plain,
( meet(complement(one),one) != zero
| meet(complement(one),complement(converse(complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(one)))),meet(complement(one),one)) )],[refute_0_3610,refute_0_3611]) ).
cnf(refute_0_3613,plain,
meet(complement(one),complement(converse(complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),one),zero) )],[refute_0_3588,refute_0_3612]) ).
cnf(refute_0_3614,plain,
join(X_11,meet(complement(one),complement(converse(complement(one))))) = join(X_11,meet(complement(one),complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(X_11,meet(complement(one),complement(converse(complement(one))))))]]) ).
cnf(refute_0_3615,plain,
( join(X_11,meet(complement(one),complement(converse(complement(one))))) != join(X_11,meet(complement(one),complement(converse(complement(one)))))
| meet(complement(one),complement(converse(complement(one)))) != zero
| join(X_11,meet(complement(one),complement(converse(complement(one))))) = join(X_11,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,meet(complement(one),complement(converse(complement(one))))),join(X_11,meet(complement(one),complement(converse(complement(one)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3616,plain,
( meet(complement(one),complement(converse(complement(one)))) != zero
| join(X_11,meet(complement(one),complement(converse(complement(one))))) = join(X_11,zero) ),
inference(resolve,[$cnf( $equal(join(X_11,meet(complement(one),complement(converse(complement(one))))),join(X_11,meet(complement(one),complement(converse(complement(one)))))) )],[refute_0_3614,refute_0_3615]) ).
cnf(refute_0_3617,plain,
join(X_11,meet(complement(one),complement(converse(complement(one))))) = join(X_11,zero),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(one)))),zero) )],[refute_0_3613,refute_0_3616]) ).
cnf(refute_0_3618,plain,
( join(X_11,meet(complement(one),complement(converse(complement(one))))) != join(X_11,zero)
| join(X_11,zero) != X_11
| join(X_11,meet(complement(one),complement(converse(complement(one))))) = X_11 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_11,meet(complement(one),complement(converse(complement(one))))))),bind(Y,$fot(join(X_11,zero))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_3619,plain,
( join(X_11,zero) != X_11
| join(X_11,meet(complement(one),complement(converse(complement(one))))) = X_11 ),
inference(resolve,[$cnf( $equal(join(X_11,meet(complement(one),complement(converse(complement(one))))),join(X_11,zero)) )],[refute_0_3617,refute_0_3618]) ).
cnf(refute_0_3620,plain,
join(X_11,meet(complement(one),complement(converse(complement(one))))) = X_11,
inference(resolve,[$cnf( $equal(join(X_11,zero),X_11) )],[refute_0_3186,refute_0_3619]) ).
cnf(refute_0_3621,plain,
join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) = join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3622,plain,
( join(X_11,meet(complement(one),complement(converse(complement(one))))) != X_11
| join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) != join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))
| join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) = join(complement(one),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))),join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_3623,plain,
( join(X_11,meet(complement(one),complement(converse(complement(one))))) != X_11
| join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) = join(complement(one),X_11) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))),join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) )],[refute_0_3621,refute_0_3622]) ).
cnf(refute_0_3624,plain,
join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) = join(complement(one),X_11),
inference(resolve,[$cnf( $equal(join(X_11,meet(complement(one),complement(converse(complement(one))))),X_11) )],[refute_0_3620,refute_0_3623]) ).
cnf(refute_0_3625,plain,
converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))))]]) ).
cnf(refute_0_3626,plain,
( converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))))
| join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) != join(complement(one),X_11)
| converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(complement(one),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))))) ),[1,0],$fot(join(complement(one),X_11))]]) ).
cnf(refute_0_3627,plain,
( join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))) != join(complement(one),X_11)
| converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(complement(one),X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))))) )],[refute_0_3625,refute_0_3626]) ).
cnf(refute_0_3628,plain,
converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) = converse(join(complement(one),X_11)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one)))))),join(complement(one),X_11)) )],[refute_0_3624,refute_0_3627]) ).
cnf(refute_0_3629,plain,
( converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(X_11,complement(one)))
| converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(complement(one),X_11))
| converse(join(complement(one),X_11)) = converse(join(X_11,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(X_11,complement(one)))) ),[0],$fot(converse(join(complement(one),X_11)))]]) ).
cnf(refute_0_3630,plain,
( converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))) != converse(join(X_11,complement(one)))
| converse(join(complement(one),X_11)) = converse(join(X_11,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(complement(one),X_11))) )],[refute_0_3628,refute_0_3629]) ).
cnf(refute_0_3631,plain,
converse(join(complement(one),X_11)) = converse(join(X_11,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_11,meet(complement(one),complement(converse(complement(one))))))),converse(join(X_11,complement(one)))) )],[refute_0_3583,refute_0_3630]) ).
cnf(refute_0_3632,plain,
converse(join(complement(one),sk1)) = converse(join(sk1,complement(one))),
inference(subst,[],[refute_0_3631:[bind(X_11,$fot(sk1))]]) ).
cnf(refute_0_3633,plain,
join(complement(one),converse(sk1)) = converse(join(complement(one),sk1)),
inference(subst,[],[refute_0_3239:[bind(X_11,$fot(sk1))]]) ).
cnf(refute_0_3634,plain,
( converse(join(complement(one),sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),converse(sk1)) != converse(join(complement(one),sk1))
| join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),converse(sk1)))),bind(Y,$fot(converse(join(complement(one),sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_3635,plain,
( converse(join(complement(one),sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(complement(one),sk1))) )],[refute_0_3633,refute_0_3634]) ).
cnf(refute_0_3636,plain,
join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),sk1)),converse(join(sk1,complement(one)))) )],[refute_0_3632,refute_0_3635]) ).
cnf(refute_0_3637,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),converse(sk1)) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(sk1)),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) ),[0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_3638,plain,
( join(complement(one),converse(sk1)) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_3636,refute_0_3637]) ).
cnf(refute_0_3639,plain,
meet(complement(converse(sk1)),join(complement(one),converse(sk1))) = meet(complement(converse(sk1)),join(complement(one),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_3640,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(complement(converse(sk1)),join(complement(one),converse(sk1))) != meet(complement(converse(sk1)),join(complement(one),converse(sk1)))
| meet(complement(converse(sk1)),join(complement(one),converse(sk1))) = meet(complement(converse(sk1)),converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_3641,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(complement(converse(sk1)),join(complement(one),converse(sk1))) = meet(complement(converse(sk1)),converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
meet(complement(converse(sk1)),join(complement(one),converse(sk1))) = meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_3636,refute_0_3641]) ).
cnf(refute_0_3643,plain,
join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_3644,plain,
( join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| meet(complement(converse(sk1)),join(complement(one),converse(sk1))) != meet(complement(converse(sk1)),converse(join(sk1,complement(one))))
| join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) ),[1,1],$fot(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_3645,plain,
( meet(complement(converse(sk1)),join(complement(one),converse(sk1))) != meet(complement(converse(sk1)),converse(join(sk1,complement(one))))
| join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) )],[refute_0_3643,refute_0_3644]) ).
cnf(refute_0_3646,plain,
join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) )],[refute_0_3642,refute_0_3645]) ).
cnf(refute_0_3647,plain,
( converse(join(sk1,complement(one))) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))
| converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(sk1,complement(one))),join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))) ),[0],$fot(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_3648,plain,
( converse(join(sk1,complement(one))) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
( join(complement(one),converse(sk1)) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(one))),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) )],[refute_0_3638,refute_0_3648]) ).
cnf(refute_0_3650,plain,
converse(join(sk1,complement(one))) = join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) )],[refute_0_3565,refute_0_3649]) ).
cnf(refute_0_3651,plain,
( converse(join(sk1,complement(one))) != join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))
| join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(sk1,complement(one))))),bind(Y,$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3652,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(one))),join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))) )],[refute_0_3650,refute_0_3651]) ).
cnf(refute_0_3653,plain,
( join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) != converse(join(sk1,complement(one)))
| top != join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))))
| top = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))))) ),[1,1,1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_3654,plain,
( top != join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))))
| top = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),converse(join(sk1,complement(one)))) )],[refute_0_3652,refute_0_3653]) ).
cnf(refute_0_3655,plain,
top = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(top,join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))))) )],[refute_0_3555,refute_0_3654]) ).
cnf(refute_0_3656,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(complement(converse(sk1)),join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_3657,plain,
( join(complement(one),converse(sk1)) != join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))
| join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(complement(one),converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(one),converse(sk1)))),bind(Y,$fot(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_3658,plain,
join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) = join(complement(one),converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1))))) )],[refute_0_3565,refute_0_3657]) ).
cnf(refute_0_3659,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),C)
| join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))) != join(complement(one),converse(sk1))
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(join(complement(one),converse(sk1)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),C)) ),[1,0],$fot(join(complement(one),converse(sk1)))]]) ).
cnf(refute_0_3660,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),C)
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(join(complement(one),converse(sk1)),C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),join(complement(one),converse(sk1))) )],[refute_0_3658,refute_0_3659]) ).
cnf(refute_0_3661,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(join(complement(one),converse(sk1)),C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(join(converse(sk1),meet(complement(converse(sk1)),join(complement(one),converse(sk1)))),C)) )],[refute_0_3656,refute_0_3660]) ).
cnf(refute_0_3662,plain,
join(join(complement(one),converse(sk1)),C) = join(complement(one),join(converse(sk1),C)),
inference(subst,[],[refute_0_33:[bind(A,$fot(complement(one))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_3663,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(join(complement(one),converse(sk1)),C)
| join(join(complement(one),converse(sk1)),C) != join(complement(one),join(converse(sk1),C))
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(complement(one),join(converse(sk1),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(complement(one),join(converse(sk1),C))) ),[0],$fot(join(join(complement(one),converse(sk1)),C))]]) ).
cnf(refute_0_3664,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(join(complement(one),converse(sk1)),C)
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(complement(one),join(converse(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(sk1)),C),join(complement(one),join(converse(sk1),C))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(complement(one),join(converse(sk1),C)),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(join(complement(one),converse(sk1)),C)) )],[refute_0_3661,refute_0_3664]) ).
cnf(refute_0_3666,plain,
join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) = join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C),
introduced(tautology,[refl,[$fot(join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C))]]) ).
cnf(refute_0_3667,plain,
( join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) != join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)
| meet(complement(converse(sk1)),join(complement(one),converse(sk1))) != meet(complement(converse(sk1)),converse(join(sk1,complement(one))))
| join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) = join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) ),[1,0],$fot(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_3668,plain,
( meet(complement(converse(sk1)),join(complement(one),converse(sk1))) != meet(complement(converse(sk1)),converse(join(sk1,complement(one))))
| join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) = join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) )],[refute_0_3666,refute_0_3667]) ).
cnf(refute_0_3669,plain,
join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) = join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) )],[refute_0_3642,refute_0_3668]) ).
cnf(refute_0_3670,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)))]]) ).
cnf(refute_0_3671,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C))
| join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) != join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C))) ),[1,1],$fot(join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C))]]) ).
cnf(refute_0_3672,plain,
( join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C) != join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) )],[refute_0_3669,refute_0_3672]) ).
cnf(refute_0_3674,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(complement(one),join(converse(sk1),C))
| join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C))
| join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(complement(one),join(converse(sk1),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(complement(one),join(converse(sk1),C))) ),[0],$fot(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)))]]) ).
cnf(refute_0_3675,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)) != join(complement(one),join(converse(sk1),C))
| join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(complement(one),join(converse(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C))) )],[refute_0_3673,refute_0_3674]) ).
cnf(refute_0_3676,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(complement(one),join(converse(sk1),C)),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),join(complement(one),converse(sk1))),C)),join(complement(one),join(converse(sk1),C))) )],[refute_0_3665,refute_0_3675]) ).
cnf(refute_0_3677,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))) = join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_3676:[bind(C,$fot(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_3678,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))) != join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))
| top != join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one))))))
| top = join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one))))))) ),[1],$fot(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3679,plain,
( top != join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one))))))
| top = join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one)))))),join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) )],[refute_0_3677,refute_0_3678]) ).
cnf(refute_0_3680,plain,
top = join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(top,join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),complement(converse(join(sk1,complement(one))))))) )],[refute_0_3655,refute_0_3679]) ).
cnf(refute_0_3681,plain,
( top != join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))
| join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3682,plain,
join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) )],[refute_0_3680,refute_0_3681]) ).
cnf(refute_0_3683,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))
| join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) != top
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3684,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))),top) )],[refute_0_3682,refute_0_3683]) ).
cnf(refute_0_3685,plain,
converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))) )],[refute_0_3554,refute_0_3684]) ).
cnf(refute_0_3686,plain,
join(complement(one),complement(converse(join(sk1,complement(one))))) = complement(meet(one,converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_866:[bind(A,$fot(one)),bind(B,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_3687,plain,
converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) = converse(join(complement(one),complement(converse(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3688,plain,
( converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) != converse(join(complement(one),complement(converse(join(sk1,complement(one))))))
| join(complement(one),complement(converse(join(sk1,complement(one))))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(join(sk1,complement(one)))))),converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) ),[1,0],$fot(complement(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_3689,plain,
( join(complement(one),complement(converse(join(sk1,complement(one))))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(join(sk1,complement(one)))))),converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) )],[refute_0_3687,refute_0_3688]) ).
cnf(refute_0_3690,plain,
converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(join(sk1,complement(one))))),complement(meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_3686,refute_0_3689]) ).
cnf(refute_0_3691,plain,
join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) = join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3692,plain,
( converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) != join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))
| join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))) ),[1,1],$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3693,plain,
( converse(join(complement(one),complement(converse(join(sk1,complement(one)))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))) )],[refute_0_3691,refute_0_3692]) ).
cnf(refute_0_3694,plain,
join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(join(sk1,complement(one)))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_3690,refute_0_3693]) ).
cnf(refute_0_3695,plain,
converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) = join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_998:[bind(A,$fot(sk1)),bind(X_63,$fot(complement(converse(join(sk1,complement(one)))))),bind(X_65,$fot(complement(one)))]]) ).
cnf(refute_0_3696,plain,
( converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) != join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))))),bind(Y,$fot(converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))))),bind(Z,$fot(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3697,plain,
( converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) != join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one)))))))) )],[refute_0_3554,refute_0_3696]) ).
cnf(refute_0_3698,plain,
converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(converse(sk1),complement(converse(join(sk1,complement(one))))))),join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))) )],[refute_0_3695,refute_0_3697]) ).
cnf(refute_0_3699,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))
| join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))))),bind(Y,$fot(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))))),bind(Z,$fot(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3700,plain,
( join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))) != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one)))))))) )],[refute_0_3698,refute_0_3699]) ).
cnf(refute_0_3701,plain,
converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(one),complement(converse(join(sk1,complement(one))))))),join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3694,refute_0_3700]) ).
cnf(refute_0_3702,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(top)
| converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),converse(top)) ),[0],$fot(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3703,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(top)
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3701,refute_0_3702]) ).
cnf(refute_0_3704,plain,
( converse(top) != top
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(top)
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3705,plain,
( join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(top)
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_3704]) ).
cnf(refute_0_3706,plain,
( converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))) != converse(top)
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),converse(top)) )],[refute_0_3703,refute_0_3705]) ).
cnf(refute_0_3707,plain,
join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),complement(converse(join(sk1,complement(one))))),complement(one))),converse(top)) )],[refute_0_3685,refute_0_3706]) ).
cnf(refute_0_3708,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = complement(converse(meet(one,converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_901:[bind(A,$fot(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_3709,plain,
join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3710,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != complement(converse(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1,1],$fot(complement(converse(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3711,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != complement(converse(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3709,refute_0_3710]) ).
cnf(refute_0_3712,plain,
join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(converse(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_3708,refute_0_3711]) ).
cnf(refute_0_3713,plain,
( join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one)))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != top
| join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),top) ),[0],$fot(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3714,plain,
( join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != top
| join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3712,refute_0_3713]) ).
cnf(refute_0_3715,plain,
join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),top) )],[refute_0_3707,refute_0_3714]) ).
cnf(refute_0_3716,plain,
( join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))) != top
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) != complement(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3717,plain,
( meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) != complement(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))),top) )],[refute_0_3715,refute_0_3716]) ).
cnf(refute_0_3718,plain,
meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,complement(converse(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_3553,refute_0_3717]) ).
cnf(refute_0_3719,plain,
( complement(top) != zero
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) != complement(top)
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3720,plain,
( meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) != complement(top)
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_3719]) ).
cnf(refute_0_3721,plain,
meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),complement(top)) )],[refute_0_3718,refute_0_3720]) ).
cnf(refute_0_3722,plain,
( complement(sk1) != join(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))) != zero
| complement(sk1) = join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3723,plain,
( complement(sk1) != join(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| complement(sk1) = join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),zero) )],[refute_0_3721,refute_0_3722]) ).
cnf(refute_0_3724,plain,
complement(sk1) = join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),converse(meet(one,converse(join(sk1,complement(one)))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_3552,refute_0_3723]) ).
cnf(refute_0_3725,plain,
meet(complement(X_600),complement(B)) = complement(join(X_600,complement(complement(B)))),
inference(subst,[],[refute_0_282:[bind(B,$fot(complement(B))),bind(X_31,$fot(X_600))]]) ).
cnf(refute_0_3726,plain,
( complement(complement(B)) != B
| meet(complement(X_600),complement(B)) != complement(join(X_600,complement(complement(B))))
| meet(complement(X_600),complement(B)) = complement(join(X_600,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),complement(B)),complement(join(X_600,complement(complement(B))))) ),[1,0,1],$fot(B)]]) ).
cnf(refute_0_3727,plain,
( meet(complement(X_600),complement(B)) != complement(join(X_600,complement(complement(B))))
| meet(complement(X_600),complement(B)) = complement(join(X_600,B)) ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_3726]) ).
cnf(refute_0_3728,plain,
meet(complement(X_600),complement(B)) = complement(join(X_600,B)),
inference(resolve,[$cnf( $equal(meet(complement(X_600),complement(B)),complement(join(X_600,complement(complement(B))))) )],[refute_0_3725,refute_0_3727]) ).
cnf(refute_0_3729,plain,
meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_3728:[bind(B,$fot(converse(meet(one,converse(join(sk1,complement(one))))))),bind(X_600,$fot(sk1))]]) ).
cnf(refute_0_3730,plain,
join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) = meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3731,plain,
( join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) != meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))
| meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))) != complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))
| join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))))),bind(Y,$fot(meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))),bind(Z,$fot(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3732,plain,
( meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))) != complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))
| join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))),meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3730,refute_0_3731]) ).
cnf(refute_0_3733,plain,
join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))),complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3729,refute_0_3732]) ).
cnf(refute_0_3734,plain,
( complement(sk1) != join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))) != complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))
| complement(sk1) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))) ),[0],$fot(join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3735,plain,
( complement(sk1) != join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))
| complement(sk1) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one)))))))),complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3733,refute_0_3734]) ).
cnf(refute_0_3736,plain,
complement(sk1) = complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(zero,meet(complement(sk1),complement(converse(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_3724,refute_0_3735]) ).
cnf(refute_0_3737,plain,
( complement(sk1) != complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))
| complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3738,plain,
complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3736,refute_0_3737]) ).
cnf(refute_0_3739,plain,
( complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) != complement(sk1)
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) != complement(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),complement(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_3740,plain,
( join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) != complement(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),complement(sk1)) )],[refute_0_3738,refute_0_3739]) ).
cnf(refute_0_3741,plain,
join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),complement(complement(join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_3551,refute_0_3740]) ).
cnf(refute_0_3742,plain,
complement(complement(sk1)) = sk1,
inference(subst,[],[refute_0_710:[bind(B,$fot(sk1))]]) ).
cnf(refute_0_3743,plain,
( complement(complement(sk1)) != sk1
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) != complement(complement(sk1))
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),complement(complement(sk1))) ),[1],$fot(sk1)]]) ).
cnf(refute_0_3744,plain,
( join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) != complement(complement(sk1))
| join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_3742,refute_0_3743]) ).
cnf(refute_0_3745,plain,
join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) = sk1,
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),complement(complement(sk1))) )],[refute_0_3741,refute_0_3744]) ).
cnf(refute_0_3746,plain,
( join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))) != sk1
| zero != composition(complement(converse(composition(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))
| zero = composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))) ),[1,0,0,0,0],$fot(sk1)]]) ).
cnf(refute_0_3747,plain,
( zero != composition(complement(converse(composition(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))
| zero = composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),sk1) )],[refute_0_3745,refute_0_3746]) ).
cnf(refute_0_3748,plain,
zero = composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)),
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))),top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))) )],[refute_0_3550,refute_0_3747]) ).
cnf(refute_0_3749,plain,
composition(join(converse(A),X_151),complement(composition(A,top))) = join(composition(converse(A),complement(composition(A,top))),composition(X_151,complement(composition(A,top)))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(A))),bind(B,$fot(X_151)),bind(C,$fot(complement(composition(A,top))))]]) ).
cnf(refute_0_3750,plain,
( composition(converse(A),complement(composition(A,top))) != zero
| composition(join(converse(A),X_151),complement(composition(A,top))) != join(composition(converse(A),complement(composition(A,top))),composition(X_151,complement(composition(A,top))))
| composition(join(converse(A),X_151),complement(composition(A,top))) = join(zero,composition(X_151,complement(composition(A,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(A),X_151),complement(composition(A,top))),join(composition(converse(A),complement(composition(A,top))),composition(X_151,complement(composition(A,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3751,plain,
( composition(join(converse(A),X_151),complement(composition(A,top))) != join(composition(converse(A),complement(composition(A,top))),composition(X_151,complement(composition(A,top))))
| composition(join(converse(A),X_151),complement(composition(A,top))) = join(zero,composition(X_151,complement(composition(A,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(A),complement(composition(A,top))),zero) )],[refute_0_1238,refute_0_3750]) ).
cnf(refute_0_3752,plain,
composition(join(converse(A),X_151),complement(composition(A,top))) = join(zero,composition(X_151,complement(composition(A,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(A),X_151),complement(composition(A,top))),join(composition(converse(A),complement(composition(A,top))),composition(X_151,complement(composition(A,top))))) )],[refute_0_3749,refute_0_3751]) ).
cnf(refute_0_3753,plain,
join(zero,composition(X_151,complement(composition(A,top)))) = composition(X_151,complement(composition(A,top))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(composition(X_151,complement(composition(A,top)))))]]) ).
cnf(refute_0_3754,plain,
( composition(join(converse(A),X_151),complement(composition(A,top))) != join(zero,composition(X_151,complement(composition(A,top))))
| join(zero,composition(X_151,complement(composition(A,top)))) != composition(X_151,complement(composition(A,top)))
| composition(join(converse(A),X_151),complement(composition(A,top))) = composition(X_151,complement(composition(A,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(A),X_151),complement(composition(A,top))),composition(X_151,complement(composition(A,top)))) ),[0],$fot(join(zero,composition(X_151,complement(composition(A,top)))))]]) ).
cnf(refute_0_3755,plain,
( composition(join(converse(A),X_151),complement(composition(A,top))) != join(zero,composition(X_151,complement(composition(A,top))))
| composition(join(converse(A),X_151),complement(composition(A,top))) = composition(X_151,complement(composition(A,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_151,complement(composition(A,top)))),composition(X_151,complement(composition(A,top)))) )],[refute_0_3753,refute_0_3754]) ).
cnf(refute_0_3756,plain,
composition(join(converse(A),X_151),complement(composition(A,top))) = composition(X_151,complement(composition(A,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(A),X_151),complement(composition(A,top))),join(zero,composition(X_151,complement(composition(A,top))))) )],[refute_0_3752,refute_0_3755]) ).
cnf(refute_0_3757,plain,
composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))) = composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))),
inference(subst,[],[refute_0_3756:[bind(A,$fot(sk1)),bind(X_151,$fot(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_3758,plain,
converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) = converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))))]]) ).
cnf(refute_0_3759,plain,
( composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))) != composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))
| converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) != converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))
| converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))) ),[1,0],$fot(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))]]) ).
cnf(refute_0_3760,plain,
( composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))) != composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))
| converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))) )],[refute_0_3758,refute_0_3759]) ).
cnf(refute_0_3761,plain,
converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))),composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) )],[refute_0_3757,refute_0_3760]) ).
cnf(refute_0_3762,plain,
converse(composition(join(converse(X_12),X_13),B)) = composition(converse(B),converse(join(converse(X_12),X_13))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(join(converse(X_12),X_13)))]]) ).
cnf(refute_0_3763,plain,
converse(join(converse(X_12),X_13)) = join(X_12,converse(X_13)),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_12)),bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_3764,plain,
( converse(composition(join(converse(X_12),X_13),B)) != composition(converse(B),converse(join(converse(X_12),X_13)))
| converse(join(converse(X_12),X_13)) != join(X_12,converse(X_13))
| converse(composition(join(converse(X_12),X_13),B)) = composition(converse(B),join(X_12,converse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_12),X_13),B)),composition(converse(B),converse(join(converse(X_12),X_13)))) ),[1,1],$fot(join(X_12,converse(X_13)))]]) ).
cnf(refute_0_3765,plain,
( converse(composition(join(converse(X_12),X_13),B)) != composition(converse(B),converse(join(converse(X_12),X_13)))
| converse(composition(join(converse(X_12),X_13),B)) = composition(converse(B),join(X_12,converse(X_13))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_12),X_13)),join(X_12,converse(X_13))) )],[refute_0_3763,refute_0_3764]) ).
cnf(refute_0_3766,plain,
converse(composition(join(converse(X_12),X_13),B)) = composition(converse(B),join(X_12,converse(X_13))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_12),X_13),B)),composition(converse(B),converse(join(converse(X_12),X_13)))) )],[refute_0_3762,refute_0_3765]) ).
cnf(refute_0_3767,plain,
converse(composition(join(converse(X_12),X_13),complement(X_446))) = composition(converse(complement(X_446)),join(X_12,converse(X_13))),
inference(subst,[],[refute_0_3766:[bind(B,$fot(complement(X_446)))]]) ).
cnf(refute_0_3768,plain,
( converse(complement(X_446)) != complement(converse(X_446))
| converse(composition(join(converse(X_12),X_13),complement(X_446))) != composition(converse(complement(X_446)),join(X_12,converse(X_13)))
| converse(composition(join(converse(X_12),X_13),complement(X_446))) = composition(complement(converse(X_446)),join(X_12,converse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_12),X_13),complement(X_446))),composition(converse(complement(X_446)),join(X_12,converse(X_13)))) ),[1,0],$fot(complement(converse(X_446)))]]) ).
cnf(refute_0_3769,plain,
( converse(composition(join(converse(X_12),X_13),complement(X_446))) != composition(converse(complement(X_446)),join(X_12,converse(X_13)))
| converse(composition(join(converse(X_12),X_13),complement(X_446))) = composition(complement(converse(X_446)),join(X_12,converse(X_13))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_446)),complement(converse(X_446))) )],[refute_0_2692,refute_0_3768]) ).
cnf(refute_0_3770,plain,
converse(composition(join(converse(X_12),X_13),complement(X_446))) = composition(complement(converse(X_446)),join(X_12,converse(X_13))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_12),X_13),complement(X_446))),composition(converse(complement(X_446)),join(X_12,converse(X_13)))) )],[refute_0_3767,refute_0_3769]) ).
cnf(refute_0_3771,plain,
( converse(composition(join(converse(X_12),X_13),complement(X_446))) != composition(complement(converse(X_446)),join(X_12,converse(X_13)))
| composition(complement(converse(X_446)),join(X_12,converse(X_13))) = converse(composition(join(converse(X_12),X_13),complement(X_446))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(join(converse(X_12),X_13),complement(X_446))))),bind(Y,$fot(composition(complement(converse(X_446)),join(X_12,converse(X_13)))))]]) ).
cnf(refute_0_3772,plain,
composition(complement(converse(X_446)),join(X_12,converse(X_13))) = converse(composition(join(converse(X_12),X_13),complement(X_446))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_12),X_13),complement(X_446))),composition(complement(converse(X_446)),join(X_12,converse(X_13)))) )],[refute_0_3770,refute_0_3771]) ).
cnf(refute_0_3773,plain,
composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) = converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),
inference(subst,[],[refute_0_3772:[bind(X_12,$fot(sk1)),bind(X_13,$fot(meet(one,converse(join(sk1,complement(one)))))),bind(X_446,$fot(composition(sk1,top)))]]) ).
cnf(refute_0_3774,plain,
converse(composition(join(X_10,converse(X_369)),converse(X_370))) = converse(composition(join(converse(X_369),X_10),converse(X_370))),
inference(subst,[],[refute_0_3545:[bind(B,$fot(converse(X_370))),bind(X_11,$fot(converse(X_369)))]]) ).
cnf(refute_0_3775,plain,
converse(composition(X_20,converse(join(converse(A),X_5)))) = composition(join(converse(A),X_5),converse(X_20)),
inference(subst,[],[refute_0_1630:[bind(A,$fot(join(converse(A),X_5))),bind(X_8,$fot(X_20))]]) ).
cnf(refute_0_3776,plain,
( converse(composition(X_20,converse(join(converse(A),X_5)))) != composition(join(converse(A),X_5),converse(X_20))
| converse(join(converse(A),X_5)) != join(A,converse(X_5))
| converse(composition(X_20,join(A,converse(X_5)))) = composition(join(converse(A),X_5),converse(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_20,converse(join(converse(A),X_5)))),composition(join(converse(A),X_5),converse(X_20))) ),[0,0,1],$fot(join(A,converse(X_5)))]]) ).
cnf(refute_0_3777,plain,
( converse(composition(X_20,converse(join(converse(A),X_5)))) != composition(join(converse(A),X_5),converse(X_20))
| converse(composition(X_20,join(A,converse(X_5)))) = composition(join(converse(A),X_5),converse(X_20)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(A,converse(X_5))) )],[refute_0_300,refute_0_3776]) ).
cnf(refute_0_3778,plain,
converse(composition(X_20,join(A,converse(X_5)))) = composition(join(converse(A),X_5),converse(X_20)),
inference(resolve,[$cnf( $equal(converse(composition(X_20,converse(join(converse(A),X_5)))),composition(join(converse(A),X_5),converse(X_20))) )],[refute_0_3775,refute_0_3777]) ).
cnf(refute_0_3779,plain,
converse(composition(X_370,join(X_369,converse(X_10)))) = composition(join(converse(X_369),X_10),converse(X_370)),
inference(subst,[],[refute_0_3778:[bind(A,$fot(X_369)),bind(X_20,$fot(X_370)),bind(X_5,$fot(X_10))]]) ).
cnf(refute_0_3780,plain,
( converse(composition(X_370,join(X_369,converse(X_10)))) != composition(join(converse(X_369),X_10),converse(X_370))
| composition(join(converse(X_369),X_10),converse(X_370)) = converse(composition(X_370,join(X_369,converse(X_10)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_370,join(X_369,converse(X_10)))))),bind(Y,$fot(composition(join(converse(X_369),X_10),converse(X_370))))]]) ).
cnf(refute_0_3781,plain,
composition(join(converse(X_369),X_10),converse(X_370)) = converse(composition(X_370,join(X_369,converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(composition(X_370,join(X_369,converse(X_10)))),composition(join(converse(X_369),X_10),converse(X_370))) )],[refute_0_3779,refute_0_3780]) ).
cnf(refute_0_3782,plain,
( composition(join(converse(X_369),X_10),converse(X_370)) != converse(composition(X_370,join(X_369,converse(X_10))))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) != converse(composition(join(converse(X_369),X_10),converse(X_370)))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) = converse(converse(composition(X_370,join(X_369,converse(X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),converse(composition(join(converse(X_369),X_10),converse(X_370)))) ),[1,0],$fot(converse(composition(X_370,join(X_369,converse(X_10)))))]]) ).
cnf(refute_0_3783,plain,
( converse(composition(join(X_10,converse(X_369)),converse(X_370))) != converse(composition(join(converse(X_369),X_10),converse(X_370)))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) = converse(converse(composition(X_370,join(X_369,converse(X_10))))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_369),X_10),converse(X_370)),converse(composition(X_370,join(X_369,converse(X_10))))) )],[refute_0_3781,refute_0_3782]) ).
cnf(refute_0_3784,plain,
converse(composition(join(X_10,converse(X_369)),converse(X_370))) = converse(converse(composition(X_370,join(X_369,converse(X_10))))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),converse(composition(join(converse(X_369),X_10),converse(X_370)))) )],[refute_0_3774,refute_0_3783]) ).
cnf(refute_0_3785,plain,
converse(join(X_10,converse(X_369))) = join(converse(X_10),X_369),
inference(subst,[],[refute_0_345:[bind(A,$fot(X_369)),bind(X_4,$fot(X_10))]]) ).
cnf(refute_0_3786,plain,
composition(X_370,converse(join(X_10,converse(X_369)))) = composition(X_370,converse(join(X_10,converse(X_369)))),
introduced(tautology,[refl,[$fot(composition(X_370,converse(join(X_10,converse(X_369)))))]]) ).
cnf(refute_0_3787,plain,
( composition(X_370,converse(join(X_10,converse(X_369)))) != composition(X_370,converse(join(X_10,converse(X_369))))
| converse(join(X_10,converse(X_369))) != join(converse(X_10),X_369)
| composition(X_370,converse(join(X_10,converse(X_369)))) = composition(X_370,join(converse(X_10),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_370,converse(join(X_10,converse(X_369)))),composition(X_370,converse(join(X_10,converse(X_369))))) ),[1,1],$fot(join(converse(X_10),X_369))]]) ).
cnf(refute_0_3788,plain,
( converse(join(X_10,converse(X_369))) != join(converse(X_10),X_369)
| composition(X_370,converse(join(X_10,converse(X_369)))) = composition(X_370,join(converse(X_10),X_369)) ),
inference(resolve,[$cnf( $equal(composition(X_370,converse(join(X_10,converse(X_369)))),composition(X_370,converse(join(X_10,converse(X_369))))) )],[refute_0_3786,refute_0_3787]) ).
cnf(refute_0_3789,plain,
composition(X_370,converse(join(X_10,converse(X_369)))) = composition(X_370,join(converse(X_10),X_369)),
inference(resolve,[$cnf( $equal(converse(join(X_10,converse(X_369))),join(converse(X_10),X_369)) )],[refute_0_3785,refute_0_3788]) ).
cnf(refute_0_3790,plain,
converse(composition(join(X_10,converse(X_369)),converse(X_370))) = composition(X_370,converse(join(X_10,converse(X_369)))),
inference(subst,[],[refute_0_1630:[bind(A,$fot(X_370)),bind(X_8,$fot(join(X_10,converse(X_369))))]]) ).
cnf(refute_0_3791,plain,
( composition(X_370,converse(join(X_10,converse(X_369)))) != composition(X_370,join(converse(X_10),X_369))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) != composition(X_370,converse(join(X_10,converse(X_369))))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) = composition(X_370,join(converse(X_10),X_369)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(join(X_10,converse(X_369)),converse(X_370))))),bind(Y,$fot(composition(X_370,converse(join(X_10,converse(X_369)))))),bind(Z,$fot(composition(X_370,join(converse(X_10),X_369))))]]) ).
cnf(refute_0_3792,plain,
( composition(X_370,converse(join(X_10,converse(X_369)))) != composition(X_370,join(converse(X_10),X_369))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) = composition(X_370,join(converse(X_10),X_369)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),composition(X_370,converse(join(X_10,converse(X_369))))) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
converse(composition(join(X_10,converse(X_369)),converse(X_370))) = composition(X_370,join(converse(X_10),X_369)),
inference(resolve,[$cnf( $equal(composition(X_370,converse(join(X_10,converse(X_369)))),composition(X_370,join(converse(X_10),X_369))) )],[refute_0_3789,refute_0_3792]) ).
cnf(refute_0_3794,plain,
( converse(composition(join(X_10,converse(X_369)),converse(X_370))) != composition(X_370,join(converse(X_10),X_369))
| converse(composition(join(X_10,converse(X_369)),converse(X_370))) != converse(converse(composition(X_370,join(X_369,converse(X_10)))))
| composition(X_370,join(converse(X_10),X_369)) = converse(converse(composition(X_370,join(X_369,converse(X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),converse(converse(composition(X_370,join(X_369,converse(X_10)))))) ),[0],$fot(composition(X_370,join(converse(X_10),X_369)))]]) ).
cnf(refute_0_3795,plain,
( converse(composition(join(X_10,converse(X_369)),converse(X_370))) != converse(converse(composition(X_370,join(X_369,converse(X_10)))))
| composition(X_370,join(converse(X_10),X_369)) = converse(converse(composition(X_370,join(X_369,converse(X_10))))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),composition(X_370,join(converse(X_10),X_369))) )],[refute_0_3793,refute_0_3794]) ).
cnf(refute_0_3796,plain,
converse(converse(composition(X_370,join(X_369,converse(X_10))))) = composition(X_370,join(X_369,converse(X_10))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(X_370,join(X_369,converse(X_10)))))]]) ).
cnf(refute_0_3797,plain,
( composition(X_370,join(converse(X_10),X_369)) != converse(converse(composition(X_370,join(X_369,converse(X_10)))))
| converse(converse(composition(X_370,join(X_369,converse(X_10))))) != composition(X_370,join(X_369,converse(X_10)))
| composition(X_370,join(converse(X_10),X_369)) = composition(X_370,join(X_369,converse(X_10))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_370,join(converse(X_10),X_369)),composition(X_370,join(X_369,converse(X_10)))) ),[0],$fot(converse(converse(composition(X_370,join(X_369,converse(X_10))))))]]) ).
cnf(refute_0_3798,plain,
( composition(X_370,join(converse(X_10),X_369)) != converse(converse(composition(X_370,join(X_369,converse(X_10)))))
| composition(X_370,join(converse(X_10),X_369)) = composition(X_370,join(X_369,converse(X_10))) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_370,join(X_369,converse(X_10))))),composition(X_370,join(X_369,converse(X_10)))) )],[refute_0_3796,refute_0_3797]) ).
cnf(refute_0_3799,plain,
( converse(composition(join(X_10,converse(X_369)),converse(X_370))) != converse(converse(composition(X_370,join(X_369,converse(X_10)))))
| composition(X_370,join(converse(X_10),X_369)) = composition(X_370,join(X_369,converse(X_10))) ),
inference(resolve,[$cnf( $equal(composition(X_370,join(converse(X_10),X_369)),converse(converse(composition(X_370,join(X_369,converse(X_10)))))) )],[refute_0_3795,refute_0_3798]) ).
cnf(refute_0_3800,plain,
composition(X_370,join(converse(X_10),X_369)) = composition(X_370,join(X_369,converse(X_10))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_10,converse(X_369)),converse(X_370))),converse(converse(composition(X_370,join(X_369,converse(X_10)))))) )],[refute_0_3784,refute_0_3799]) ).
cnf(refute_0_3801,plain,
composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_3800:[bind(X_10,$fot(meet(one,converse(join(sk1,complement(one)))))),bind(X_369,$fot(sk1)),bind(X_370,$fot(complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_3802,plain,
( composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) != composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))
| composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) != converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))
| composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)))),bind(Y,$fot(composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))))),bind(Z,$fot(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))))]]) ).
cnf(refute_0_3803,plain,
( composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))) != converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))
| composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)),composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_3801,refute_0_3802]) ).
cnf(refute_0_3804,plain,
composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(sk1,top))),join(sk1,converse(meet(one,converse(join(sk1,complement(one))))))),converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))) )],[refute_0_3773,refute_0_3803]) ).
cnf(refute_0_3805,plain,
( composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) != converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))
| converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) != converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))
| composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)))),bind(Y,$fot(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))))),bind(Z,$fot(converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))]]) ).
cnf(refute_0_3806,plain,
( converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))) != converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))
| composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)),converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top))))) )],[refute_0_3804,refute_0_3805]) ).
cnf(refute_0_3807,plain,
composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(sk1),meet(one,converse(join(sk1,complement(one))))),complement(composition(sk1,top)))),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) )],[refute_0_3761,refute_0_3806]) ).
cnf(refute_0_3808,plain,
( composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)) != converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))
| zero != composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))
| zero = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))) ),[1],$fot(converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))]]) ).
cnf(refute_0_3809,plain,
( zero != composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))
| zero = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1)),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) )],[refute_0_3807,refute_0_3808]) ).
cnf(refute_0_3810,plain,
zero = converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(sk1,top))),join(converse(meet(one,converse(join(sk1,complement(one))))),sk1))) )],[refute_0_3748,refute_0_3809]) ).
cnf(refute_0_3811,plain,
( zero != converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))
| converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))]]) ).
cnf(refute_0_3812,plain,
converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) = zero,
inference(resolve,[$cnf( $equal(zero,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) )],[refute_0_3810,refute_0_3811]) ).
cnf(refute_0_3813,plain,
( converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) != zero
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,join(X_212,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,join(X_212,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,join(X_212,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_3814,plain,
( join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,join(X_212,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,join(X_212,zero)) ),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))),zero) )],[refute_0_3812,refute_0_3813]) ).
cnf(refute_0_3815,plain,
join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,join(X_212,zero)),
inference(resolve,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,join(X_212,converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))) )],[refute_0_3528,refute_0_3814]) ).
cnf(refute_0_3816,plain,
join(X_212,zero) = X_212,
inference(subst,[],[refute_0_783:[bind(X_89,$fot(X_212))]]) ).
cnf(refute_0_3817,plain,
join(one,join(X_212,zero)) = join(one,join(X_212,zero)),
introduced(tautology,[refl,[$fot(join(one,join(X_212,zero)))]]) ).
cnf(refute_0_3818,plain,
( join(X_212,zero) != X_212
| join(one,join(X_212,zero)) != join(one,join(X_212,zero))
| join(one,join(X_212,zero)) = join(one,X_212) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_212,zero)),join(one,join(X_212,zero))) ),[1,1],$fot(X_212)]]) ).
cnf(refute_0_3819,plain,
( join(X_212,zero) != X_212
| join(one,join(X_212,zero)) = join(one,X_212) ),
inference(resolve,[$cnf( $equal(join(one,join(X_212,zero)),join(one,join(X_212,zero))) )],[refute_0_3817,refute_0_3818]) ).
cnf(refute_0_3820,plain,
join(one,join(X_212,zero)) = join(one,X_212),
inference(resolve,[$cnf( $equal(join(X_212,zero),X_212) )],[refute_0_3816,refute_0_3819]) ).
cnf(refute_0_3821,plain,
( join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,join(X_212,zero))
| join(one,join(X_212,zero)) != join(one,X_212)
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,X_212) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,X_212)) ),[0],$fot(join(one,join(X_212,zero)))]]) ).
cnf(refute_0_3822,plain,
( join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,join(X_212,zero))
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,X_212) ),
inference(resolve,[$cnf( $equal(join(one,join(X_212,zero)),join(one,X_212)) )],[refute_0_3820,refute_0_3821]) ).
cnf(refute_0_3823,plain,
join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(one,X_212),
inference(resolve,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,join(X_212,zero))) )],[refute_0_3815,refute_0_3822]) ).
cnf(refute_0_3824,plain,
converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = join(converse(A),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))]]) ).
cnf(refute_0_3825,plain,
( converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))) != zero
| converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != join(converse(A),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))
| converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = join(converse(A),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),join(converse(A),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3826,plain,
( converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != join(converse(A),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))
| converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = join(converse(A),zero) ),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))),zero) )],[refute_0_3812,refute_0_3825]) ).
cnf(refute_0_3827,plain,
converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = join(converse(A),zero),
inference(resolve,[$cnf( $equal(converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),join(converse(A),converse(composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) )],[refute_0_3824,refute_0_3826]) ).
cnf(refute_0_3828,plain,
join(converse(A),zero) = join(zero,converse(A)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(converse(A)))]]) ).
cnf(refute_0_3829,plain,
( join(converse(A),zero) != join(zero,converse(A))
| join(zero,converse(A)) != converse(A)
| join(converse(A),zero) = converse(A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(A),zero))),bind(Y,$fot(join(zero,converse(A)))),bind(Z,$fot(converse(A)))]]) ).
cnf(refute_0_3830,plain,
( join(zero,converse(A)) != converse(A)
| join(converse(A),zero) = converse(A) ),
inference(resolve,[$cnf( $equal(join(converse(A),zero),join(zero,converse(A))) )],[refute_0_3828,refute_0_3829]) ).
cnf(refute_0_3831,plain,
join(converse(A),zero) = converse(A),
inference(resolve,[$cnf( $equal(join(zero,converse(A)),converse(A)) )],[refute_0_1186,refute_0_3830]) ).
cnf(refute_0_3832,plain,
( converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != join(converse(A),zero)
| join(converse(A),zero) != converse(A)
| converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = converse(A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),converse(A)) ),[0],$fot(join(converse(A),zero))]]) ).
cnf(refute_0_3833,plain,
( converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != join(converse(A),zero)
| converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = converse(A) ),
inference(resolve,[$cnf( $equal(join(converse(A),zero),converse(A)) )],[refute_0_3831,refute_0_3832]) ).
cnf(refute_0_3834,plain,
converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = converse(A),
inference(resolve,[$cnf( $equal(converse(join(A,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),join(converse(A),zero)) )],[refute_0_3827,refute_0_3833]) ).
cnf(refute_0_3835,plain,
converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = converse(one),
inference(subst,[],[refute_0_3834:[bind(A,$fot(one))]]) ).
cnf(refute_0_3836,plain,
( converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != converse(one)
| converse(one) != one
| converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3837,plain,
( converse(one) != one
| converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),converse(one)) )],[refute_0_3835,refute_0_3836]) ).
cnf(refute_0_3838,plain,
converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_3837]) ).
cnf(refute_0_3839,plain,
join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),
introduced(tautology,[refl,[$fot(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))))]]) ).
cnf(refute_0_3840,plain,
( converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != one
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(X_212,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3841,plain,
( converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))) != one
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(X_212,one) ),
inference(resolve,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))))) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) = join(X_212,one),
inference(resolve,[$cnf( $equal(converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top))))),one) )],[refute_0_3838,refute_0_3841]) ).
cnf(refute_0_3843,plain,
( join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(X_212,one)
| join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,X_212)
| join(X_212,one) = join(one,X_212) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,X_212)) ),[0],$fot(join(X_212,one))]]) ).
cnf(refute_0_3844,plain,
( join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))) != join(one,X_212)
| join(X_212,one) = join(one,X_212) ),
inference(resolve,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(X_212,one)) )],[refute_0_3842,refute_0_3843]) ).
cnf(refute_0_3845,plain,
join(X_212,one) = join(one,X_212),
inference(resolve,[$cnf( $equal(join(X_212,converse(join(one,composition(meet(one,converse(join(sk1,complement(one)))),complement(composition(sk1,top)))))),join(one,X_212)) )],[refute_0_3823,refute_0_3844]) ).
cnf(refute_0_3846,plain,
join(complement(one),one) = join(one,complement(one)),
inference(subst,[],[refute_0_3845:[bind(X_212,$fot(complement(one)))]]) ).
cnf(refute_0_3847,plain,
( join(complement(one),one) != join(one,complement(one))
| join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),one))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3848,plain,
( join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),one),join(one,complement(one))) )],[refute_0_3846,refute_0_3847]) ).
cnf(refute_0_3849,plain,
join(complement(one),one) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_3501,refute_0_3848]) ).
cnf(refute_0_3850,plain,
join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1))))))))))))),
inference(subst,[],[refute_0_1070:[bind(X_108,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3851,plain,
( join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))) != top
| join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))))))) ),[1,1,1,0,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_3852,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))),top) )],[refute_0_3103,refute_0_3851]) ).
cnf(refute_0_3853,plain,
join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(join(one,complement(join(sk1,converse(meet(one,complement(sk1)))))))))))))) )],[refute_0_3850,refute_0_3852]) ).
cnf(refute_0_3854,plain,
join(converse(meet(one,complement(sk1))),complement(one)) = join(complement(one),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(complement(one))),bind(X_49,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3855,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(one)) != join(complement(one),converse(meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(one)) = converse(join(complement(one),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(meet(one,complement(sk1))),complement(one)))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(sk1)))))),bind(Z,$fot(converse(join(complement(one),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3856,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(one)) = converse(join(complement(one),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(one)),join(complement(one),converse(meet(one,complement(sk1))))) )],[refute_0_3854,refute_0_3855]) ).
cnf(refute_0_3857,plain,
join(converse(meet(one,complement(sk1))),complement(one)) = converse(join(complement(one),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_3240,refute_0_3856]) ).
cnf(refute_0_3858,plain,
join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))]]) ).
cnf(refute_0_3859,plain,
( complement(converse(join(one,complement(converse(top))))) != complement(one)
| join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))
| join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_3860,plain,
( complement(converse(join(one,complement(converse(top))))) != complement(one)
| join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) )],[refute_0_3858,refute_0_3859]) ).
cnf(refute_0_3861,plain,
join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = join(converse(meet(one,complement(sk1))),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(top))))),complement(one)) )],[refute_0_2379,refute_0_3860]) ).
cnf(refute_0_3862,plain,
( join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != join(converse(meet(one,complement(sk1))),complement(one))
| join(converse(meet(one,complement(sk1))),complement(one)) != converse(join(complement(one),meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = converse(join(complement(one),meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(converse(meet(one,complement(sk1))),complement(one)))),bind(Z,$fot(converse(join(complement(one),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3863,plain,
( join(converse(meet(one,complement(sk1))),complement(one)) != converse(join(complement(one),meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = converse(join(complement(one),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),join(converse(meet(one,complement(sk1))),complement(one))) )],[refute_0_3861,refute_0_3862]) ).
cnf(refute_0_3864,plain,
join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) = converse(join(complement(one),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(one)),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_3857,refute_0_3863]) ).
cnf(refute_0_3865,plain,
join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_3866,plain,
( join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) ),[1,1],$fot(converse(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3867,plain,
( join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_3864,refute_0_3867]) ).
cnf(refute_0_3869,plain,
join(join(X_212,converse(X_213)),B) = join(B,join(X_212,converse(X_213))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_212,converse(X_213))))]]) ).
cnf(refute_0_3870,plain,
join(B,join(X_212,converse(X_213))) = join(X_212,join(B,converse(X_213))),
inference(subst,[],[refute_0_955:[bind(A,$fot(B)),bind(B,$fot(X_212)),bind(X_13,$fot(X_213))]]) ).
cnf(refute_0_3871,plain,
( join(B,join(X_212,converse(X_213))) != join(X_212,join(B,converse(X_213)))
| join(join(X_212,converse(X_213)),B) != join(B,join(X_212,converse(X_213)))
| join(join(X_212,converse(X_213)),B) = join(X_212,join(B,converse(X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_212,converse(X_213)),B),join(B,join(X_212,converse(X_213)))) ),[1],$fot(join(X_212,join(B,converse(X_213))))]]) ).
cnf(refute_0_3872,plain,
( join(join(X_212,converse(X_213)),B) != join(B,join(X_212,converse(X_213)))
| join(join(X_212,converse(X_213)),B) = join(X_212,join(B,converse(X_213))) ),
inference(resolve,[$cnf( $equal(join(B,join(X_212,converse(X_213))),join(X_212,join(B,converse(X_213)))) )],[refute_0_3870,refute_0_3871]) ).
cnf(refute_0_3873,plain,
join(join(X_212,converse(X_213)),B) = join(X_212,join(B,converse(X_213))),
inference(resolve,[$cnf( $equal(join(join(X_212,converse(X_213)),B),join(B,join(X_212,converse(X_213)))) )],[refute_0_3869,refute_0_3872]) ).
cnf(refute_0_3874,plain,
join(join(X_212,converse(X_213)),B) = join(X_212,join(converse(X_213),B)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_212)),bind(B,$fot(converse(X_213))),bind(C,$fot(B))]]) ).
cnf(refute_0_3875,plain,
( join(join(X_212,converse(X_213)),B) != join(X_212,join(B,converse(X_213)))
| join(join(X_212,converse(X_213)),B) != join(X_212,join(converse(X_213),B))
| join(X_212,join(converse(X_213),B)) = join(X_212,join(B,converse(X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_212,converse(X_213)),B),join(X_212,join(B,converse(X_213)))) ),[0],$fot(join(X_212,join(converse(X_213),B)))]]) ).
cnf(refute_0_3876,plain,
( join(join(X_212,converse(X_213)),B) != join(X_212,join(B,converse(X_213)))
| join(X_212,join(converse(X_213),B)) = join(X_212,join(B,converse(X_213))) ),
inference(resolve,[$cnf( $equal(join(join(X_212,converse(X_213)),B),join(X_212,join(converse(X_213),B))) )],[refute_0_3874,refute_0_3875]) ).
cnf(refute_0_3877,plain,
join(X_212,join(converse(X_213),B)) = join(X_212,join(B,converse(X_213))),
inference(resolve,[$cnf( $equal(join(join(X_212,converse(X_213)),B),join(X_212,join(B,converse(X_213)))) )],[refute_0_3873,refute_0_3876]) ).
cnf(refute_0_3878,plain,
( join(X_212,join(converse(X_213),B)) != join(X_212,join(B,converse(X_213)))
| join(X_212,join(B,converse(X_213))) = join(X_212,join(converse(X_213),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_212,join(converse(X_213),B)))),bind(Y,$fot(join(X_212,join(B,converse(X_213)))))]]) ).
cnf(refute_0_3879,plain,
join(X_212,join(B,converse(X_213))) = join(X_212,join(converse(X_213),B)),
inference(resolve,[$cnf( $equal(join(X_212,join(converse(X_213),B)),join(X_212,join(B,converse(X_213)))) )],[refute_0_3877,refute_0_3878]) ).
cnf(refute_0_3880,plain,
join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
inference(subst,[],[refute_0_3879:[bind(B,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_212,$fot(sk1)),bind(X_213,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_3881,plain,
join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) = join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_2373:[bind(X_320,$fot(converse(meet(one,complement(sk1))))),bind(X_49,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_50,$fot(sk1))]]) ).
cnf(refute_0_3882,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) != join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1)))))
| join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))))),bind(Y,$fot(join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))))),bind(Z,$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_3883,plain,
( join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))),join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1)))))) )],[refute_0_3881,refute_0_3882]) ).
cnf(refute_0_3884,plain,
join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(converse(join(one,complement(converse(top))))),converse(meet(one,complement(sk1))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3880,refute_0_3883]) ).
cnf(refute_0_3885,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(complement(converse(join(one,complement(converse(top))))))),bind(X_49,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3886,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) != join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))))),bind(Z,$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_3887,plain,
( join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))),join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3885,refute_0_3886]) ).
cnf(refute_0_3888,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(converse(top))))),join(sk1,converse(meet(one,complement(sk1))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3884,refute_0_3887]) ).
cnf(refute_0_3889,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) != join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))),bind(Y,$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))))),bind(Z,$fot(join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3890,plain,
( join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))) != join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))
| join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3888,refute_0_3889]) ).
cnf(refute_0_3891,plain,
join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(converse(join(one,complement(converse(top))))))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) )],[refute_0_3868,refute_0_3890]) ).
cnf(refute_0_3892,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_3893,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) != join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))) ),[1,1],$fot(join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3894,plain,
( join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))) != join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3892,refute_0_3893]) ).
cnf(refute_0_3895,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) )],[refute_0_3891,refute_0_3894]) ).
cnf(refute_0_3896,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))) ),[0],$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_3897,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top))))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))) )],[refute_0_3895,refute_0_3896]) ).
cnf(refute_0_3898,plain,
join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(join(sk1,converse(meet(one,complement(sk1)))),complement(converse(join(one,complement(converse(top)))))))) )],[refute_0_3853,refute_0_3897]) ).
cnf(refute_0_3899,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(join(sk1,complement(converse(sk1))))),bind(X_27,$fot(join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3900,plain,
join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) = join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3901,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != complement(converse(sk1))
| join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) != join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))
| join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_3902,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != complement(converse(sk1))
| join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) )],[refute_0_3900,refute_0_3901]) ).
cnf(refute_0_3903,plain,
join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) = join(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),complement(converse(sk1))) )],[refute_0_3139,refute_0_3902]) ).
cnf(refute_0_3904,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3905,plain,
( join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) != join(sk1,complement(converse(sk1)))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))) ),[1,1],$fot(join(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_3906,plain,
( join(sk1,converse(join(complement(one),meet(one,complement(sk1))))) != join(sk1,complement(converse(sk1)))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))) )],[refute_0_3904,refute_0_3905]) ).
cnf(refute_0_3907,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(one),meet(one,complement(sk1))))),join(sk1,complement(converse(sk1)))) )],[refute_0_3903,refute_0_3906]) ).
cnf(refute_0_3908,plain,
( meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))))),bind(Y,$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))))),bind(Z,$fot(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3909,plain,
( meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1))))) )],[refute_0_3907,refute_0_3908]) ).
cnf(refute_0_3910,plain,
meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,complement(converse(sk1)))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3899,refute_0_3909]) ).
cnf(refute_0_3911,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))
| meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) ),[0],$fot(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3912,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))
| join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1)))))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3910,refute_0_3911]) ).
cnf(refute_0_3913,plain,
join(sk1,converse(meet(one,complement(sk1)))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(join(complement(one),meet(one,complement(sk1))))))) )],[refute_0_3898,refute_0_3912]) ).
cnf(refute_0_3914,plain,
converse(meet(one,complement(sk1))) = join(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_646:[bind(X_87,$fot(converse(meet(one,complement(sk1))))),bind(X_88,$fot(converse(composition(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3915,plain,
meet(complement(X_600),composition(X_600,converse(sk1))) = complement(join(X_600,complement(composition(X_600,converse(sk1))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(composition(X_600,converse(sk1)))),bind(X_31,$fot(X_600))]]) ).
cnf(refute_0_3916,plain,
converse(join(converse(A),complement(composition(sk1,converse(A))))) = join(A,converse(complement(composition(sk1,converse(A))))),
inference(subst,[],[refute_0_300:[bind(X_5,$fot(complement(composition(sk1,converse(A)))))]]) ).
cnf(refute_0_3917,plain,
top = converse(join(converse(A),complement(composition(sk1,converse(A))))),
inference(subst,[],[refute_0_2900:[bind(X_476,$fot(converse(A)))]]) ).
cnf(refute_0_3918,plain,
( top != converse(join(converse(A),complement(composition(sk1,converse(A)))))
| converse(join(converse(A),complement(composition(sk1,converse(A))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(converse(A),complement(composition(sk1,converse(A)))))))]]) ).
cnf(refute_0_3919,plain,
converse(join(converse(A),complement(composition(sk1,converse(A))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(converse(A),complement(composition(sk1,converse(A)))))) )],[refute_0_3917,refute_0_3918]) ).
cnf(refute_0_3920,plain,
( converse(join(converse(A),complement(composition(sk1,converse(A))))) != join(A,converse(complement(composition(sk1,converse(A)))))
| converse(join(converse(A),complement(composition(sk1,converse(A))))) != top
| top = join(A,converse(complement(composition(sk1,converse(A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),complement(composition(sk1,converse(A))))),join(A,converse(complement(composition(sk1,converse(A)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3921,plain,
( converse(join(converse(A),complement(composition(sk1,converse(A))))) != join(A,converse(complement(composition(sk1,converse(A)))))
| top = join(A,converse(complement(composition(sk1,converse(A))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(composition(sk1,converse(A))))),top) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
top = join(A,converse(complement(composition(sk1,converse(A))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(composition(sk1,converse(A))))),join(A,converse(complement(composition(sk1,converse(A)))))) )],[refute_0_3916,refute_0_3921]) ).
cnf(refute_0_3923,plain,
converse(composition(sk1,converse(A))) = composition(A,converse(sk1)),
inference(subst,[],[refute_0_1630:[bind(X_8,$fot(sk1))]]) ).
cnf(refute_0_3924,plain,
complement(converse(composition(sk1,converse(A)))) = complement(converse(composition(sk1,converse(A)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(sk1,converse(A)))))]]) ).
cnf(refute_0_3925,plain,
( complement(converse(composition(sk1,converse(A)))) != complement(converse(composition(sk1,converse(A))))
| converse(composition(sk1,converse(A))) != composition(A,converse(sk1))
| complement(converse(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(sk1,converse(A)))),complement(converse(composition(sk1,converse(A))))) ),[1,0],$fot(composition(A,converse(sk1)))]]) ).
cnf(refute_0_3926,plain,
( converse(composition(sk1,converse(A))) != composition(A,converse(sk1))
| complement(converse(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,converse(A)))),complement(converse(composition(sk1,converse(A))))) )],[refute_0_3924,refute_0_3925]) ).
cnf(refute_0_3927,plain,
complement(converse(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(sk1,converse(A))),composition(A,converse(sk1))) )],[refute_0_3923,refute_0_3926]) ).
cnf(refute_0_3928,plain,
converse(complement(composition(sk1,converse(A)))) = complement(converse(composition(sk1,converse(A)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(composition(sk1,converse(A))))]]) ).
cnf(refute_0_3929,plain,
( complement(converse(composition(sk1,converse(A)))) != complement(composition(A,converse(sk1)))
| converse(complement(composition(sk1,converse(A)))) != complement(converse(composition(sk1,converse(A))))
| converse(complement(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(composition(sk1,converse(A)))))),bind(Y,$fot(complement(converse(composition(sk1,converse(A)))))),bind(Z,$fot(complement(composition(A,converse(sk1)))))]]) ).
cnf(refute_0_3930,plain,
( complement(converse(composition(sk1,converse(A)))) != complement(composition(A,converse(sk1)))
| converse(complement(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(sk1,converse(A)))),complement(converse(composition(sk1,converse(A))))) )],[refute_0_3928,refute_0_3929]) ).
cnf(refute_0_3931,plain,
converse(complement(composition(sk1,converse(A)))) = complement(composition(A,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,converse(A)))),complement(composition(A,converse(sk1)))) )],[refute_0_3927,refute_0_3930]) ).
cnf(refute_0_3932,plain,
join(A,converse(complement(composition(sk1,converse(A))))) = join(A,converse(complement(composition(sk1,converse(A))))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(composition(sk1,converse(A))))))]]) ).
cnf(refute_0_3933,plain,
( converse(complement(composition(sk1,converse(A)))) != complement(composition(A,converse(sk1)))
| join(A,converse(complement(composition(sk1,converse(A))))) != join(A,converse(complement(composition(sk1,converse(A)))))
| join(A,converse(complement(composition(sk1,converse(A))))) = join(A,complement(composition(A,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(composition(sk1,converse(A))))),join(A,converse(complement(composition(sk1,converse(A)))))) ),[1,1],$fot(complement(composition(A,converse(sk1))))]]) ).
cnf(refute_0_3934,plain,
( converse(complement(composition(sk1,converse(A)))) != complement(composition(A,converse(sk1)))
| join(A,converse(complement(composition(sk1,converse(A))))) = join(A,complement(composition(A,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(sk1,converse(A))))),join(A,converse(complement(composition(sk1,converse(A)))))) )],[refute_0_3932,refute_0_3933]) ).
cnf(refute_0_3935,plain,
join(A,converse(complement(composition(sk1,converse(A))))) = join(A,complement(composition(A,converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(sk1,converse(A)))),complement(composition(A,converse(sk1)))) )],[refute_0_3931,refute_0_3934]) ).
cnf(refute_0_3936,plain,
( join(A,converse(complement(composition(sk1,converse(A))))) != join(A,complement(composition(A,converse(sk1))))
| top != join(A,converse(complement(composition(sk1,converse(A)))))
| top = join(A,complement(composition(A,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(complement(composition(sk1,converse(A)))))) ),[1],$fot(join(A,complement(composition(A,converse(sk1)))))]]) ).
cnf(refute_0_3937,plain,
( top != join(A,converse(complement(composition(sk1,converse(A)))))
| top = join(A,complement(composition(A,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(sk1,converse(A))))),join(A,complement(composition(A,converse(sk1))))) )],[refute_0_3935,refute_0_3936]) ).
cnf(refute_0_3938,plain,
top = join(A,complement(composition(A,converse(sk1)))),
inference(resolve,[$cnf( $equal(top,join(A,converse(complement(composition(sk1,converse(A)))))) )],[refute_0_3922,refute_0_3937]) ).
cnf(refute_0_3939,plain,
top = join(X_600,complement(composition(X_600,converse(sk1)))),
inference(subst,[],[refute_0_3938:[bind(A,$fot(X_600))]]) ).
cnf(refute_0_3940,plain,
( top != join(X_600,complement(composition(X_600,converse(sk1))))
| join(X_600,complement(composition(X_600,converse(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_600,complement(composition(X_600,converse(sk1))))))]]) ).
cnf(refute_0_3941,plain,
join(X_600,complement(composition(X_600,converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_600,complement(composition(X_600,converse(sk1))))) )],[refute_0_3939,refute_0_3940]) ).
cnf(refute_0_3942,plain,
( join(X_600,complement(composition(X_600,converse(sk1)))) != top
| meet(complement(X_600),composition(X_600,converse(sk1))) != complement(join(X_600,complement(composition(X_600,converse(sk1)))))
| meet(complement(X_600),composition(X_600,converse(sk1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),composition(X_600,converse(sk1))),complement(join(X_600,complement(composition(X_600,converse(sk1)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3943,plain,
( meet(complement(X_600),composition(X_600,converse(sk1))) != complement(join(X_600,complement(composition(X_600,converse(sk1)))))
| meet(complement(X_600),composition(X_600,converse(sk1))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_600,complement(composition(X_600,converse(sk1)))),top) )],[refute_0_3941,refute_0_3942]) ).
cnf(refute_0_3944,plain,
meet(complement(X_600),composition(X_600,converse(sk1))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_600),composition(X_600,converse(sk1))),complement(join(X_600,complement(composition(X_600,converse(sk1)))))) )],[refute_0_3915,refute_0_3943]) ).
cnf(refute_0_3945,plain,
( complement(top) != zero
| meet(complement(X_600),composition(X_600,converse(sk1))) != complement(top)
| meet(complement(X_600),composition(X_600,converse(sk1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),composition(X_600,converse(sk1))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3946,plain,
( meet(complement(X_600),composition(X_600,converse(sk1))) != complement(top)
| meet(complement(X_600),composition(X_600,converse(sk1))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_3945]) ).
cnf(refute_0_3947,plain,
meet(complement(X_600),composition(X_600,converse(sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_600),composition(X_600,converse(sk1))),complement(top)) )],[refute_0_3944,refute_0_3946]) ).
cnf(refute_0_3948,plain,
meet(complement(complement(B)),composition(complement(B),converse(sk1))) = zero,
inference(subst,[],[refute_0_3947:[bind(X_600,$fot(complement(B)))]]) ).
cnf(refute_0_3949,plain,
( complement(complement(B)) != B
| meet(complement(complement(B)),composition(complement(B),converse(sk1))) != zero
| meet(B,composition(complement(B),converse(sk1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(B)),composition(complement(B),converse(sk1))),zero) ),[0,0],$fot(B)]]) ).
cnf(refute_0_3950,plain,
( meet(complement(complement(B)),composition(complement(B),converse(sk1))) != zero
| meet(B,composition(complement(B),converse(sk1))) = zero ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_3949]) ).
cnf(refute_0_3951,plain,
meet(B,composition(complement(B),converse(sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),composition(complement(B),converse(sk1))),zero) )],[refute_0_3948,refute_0_3950]) ).
cnf(refute_0_3952,plain,
meet(converse(meet(one,complement(sk1))),composition(complement(converse(meet(one,complement(sk1)))),converse(sk1))) = zero,
inference(subst,[],[refute_0_3951:[bind(B,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3953,plain,
complement(converse(meet(one,complement(sk1)))) = join(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(converse(sk1))),bind(X_99,$fot(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3954,plain,
converse(sk1) = join(meet(converse(sk1),converse(meet(one,complement(sk1)))),meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(converse(meet(one,complement(sk1))))),bind(X_87,$fot(converse(sk1)))]]) ).
cnf(refute_0_3955,plain,
meet(complement(X_600),meet(X_427,X_600)) = complement(join(X_600,complement(meet(X_427,X_600)))),
inference(subst,[],[refute_0_282:[bind(B,$fot(meet(X_427,X_600))),bind(X_31,$fot(X_600))]]) ).
cnf(refute_0_3956,plain,
join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) = top,
inference(subst,[],[refute_0_573:[bind(B,$fot(complement(converse(meet(X_427,X_428))))),bind(X_112,$fot(converse(X_428)))]]) ).
cnf(refute_0_3957,plain,
top = join(complement(converse(meet(X_100,X_99))),converse(join(meet(X_100,X_99),meet(complement(X_100),X_99)))),
inference(subst,[],[refute_0_628:[bind(X_64,$fot(meet(complement(X_100),X_99))),bind(X_65,$fot(meet(X_100,X_99)))]]) ).
cnf(refute_0_3958,plain,
( X_99 != join(meet(X_100,X_99),meet(complement(X_100),X_99))
| join(meet(X_100,X_99),meet(complement(X_100),X_99)) = X_99 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_99)),bind(Y,$fot(join(meet(X_100,X_99),meet(complement(X_100),X_99))))]]) ).
cnf(refute_0_3959,plain,
join(meet(X_100,X_99),meet(complement(X_100),X_99)) = X_99,
inference(resolve,[$cnf( $equal(X_99,join(meet(X_100,X_99),meet(complement(X_100),X_99))) )],[refute_0_2286,refute_0_3958]) ).
cnf(refute_0_3960,plain,
( join(meet(X_100,X_99),meet(complement(X_100),X_99)) != X_99
| top != join(complement(converse(meet(X_100,X_99))),converse(join(meet(X_100,X_99),meet(complement(X_100),X_99))))
| top = join(complement(converse(meet(X_100,X_99))),converse(X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(X_100,X_99))),converse(join(meet(X_100,X_99),meet(complement(X_100),X_99))))) ),[1,1,0],$fot(X_99)]]) ).
cnf(refute_0_3961,plain,
( top != join(complement(converse(meet(X_100,X_99))),converse(join(meet(X_100,X_99),meet(complement(X_100),X_99))))
| top = join(complement(converse(meet(X_100,X_99))),converse(X_99)) ),
inference(resolve,[$cnf( $equal(join(meet(X_100,X_99),meet(complement(X_100),X_99)),X_99) )],[refute_0_3959,refute_0_3960]) ).
cnf(refute_0_3962,plain,
top = join(complement(converse(meet(X_100,X_99))),converse(X_99)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(X_100,X_99))),converse(join(meet(X_100,X_99),meet(complement(X_100),X_99))))) )],[refute_0_3957,refute_0_3961]) ).
cnf(refute_0_3963,plain,
join(complement(converse(meet(X_100,X_99))),converse(X_99)) = join(converse(X_99),complement(converse(meet(X_100,X_99)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(X_99))),bind(B,$fot(complement(converse(meet(X_100,X_99)))))]]) ).
cnf(refute_0_3964,plain,
( join(complement(converse(meet(X_100,X_99))),converse(X_99)) != join(converse(X_99),complement(converse(meet(X_100,X_99))))
| top != join(complement(converse(meet(X_100,X_99))),converse(X_99))
| top = join(converse(X_99),complement(converse(meet(X_100,X_99)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(X_100,X_99))),converse(X_99))) ),[1],$fot(join(converse(X_99),complement(converse(meet(X_100,X_99)))))]]) ).
cnf(refute_0_3965,plain,
( top != join(complement(converse(meet(X_100,X_99))),converse(X_99))
| top = join(converse(X_99),complement(converse(meet(X_100,X_99)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_100,X_99))),converse(X_99)),join(converse(X_99),complement(converse(meet(X_100,X_99))))) )],[refute_0_3963,refute_0_3964]) ).
cnf(refute_0_3966,plain,
top = join(converse(X_99),complement(converse(meet(X_100,X_99)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(X_100,X_99))),converse(X_99))) )],[refute_0_3962,refute_0_3965]) ).
cnf(refute_0_3967,plain,
top = join(converse(X_428),complement(converse(meet(X_427,X_428)))),
inference(subst,[],[refute_0_3966:[bind(X_100,$fot(X_427)),bind(X_99,$fot(X_428))]]) ).
cnf(refute_0_3968,plain,
( top != join(converse(X_428),complement(converse(meet(X_427,X_428))))
| join(converse(X_428),complement(converse(meet(X_427,X_428)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_428),complement(converse(meet(X_427,X_428))))))]]) ).
cnf(refute_0_3969,plain,
join(converse(X_428),complement(converse(meet(X_427,X_428)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_428),complement(converse(meet(X_427,X_428))))) )],[refute_0_3967,refute_0_3968]) ).
cnf(refute_0_3970,plain,
( join(converse(X_428),complement(converse(meet(X_427,X_428)))) != top
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) != top
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))),top) ),[0,1,0,0],$fot(top)]]) ).
cnf(refute_0_3971,plain,
( join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) != top
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_428),complement(converse(meet(X_427,X_428)))),top) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))),top) )],[refute_0_3956,refute_0_3971]) ).
cnf(refute_0_3973,plain,
join(zero,join(X_428,complement(meet(X_427,X_428)))) = join(X_428,complement(meet(X_427,X_428))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(join(X_428,complement(meet(X_427,X_428)))))]]) ).
cnf(refute_0_3974,plain,
converse(converse(meet(X_427,X_428))) = meet(X_427,X_428),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(meet(X_427,X_428)))]]) ).
cnf(refute_0_3975,plain,
complement(converse(converse(meet(X_427,X_428)))) = complement(converse(converse(meet(X_427,X_428)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(meet(X_427,X_428)))))]]) ).
cnf(refute_0_3976,plain,
( complement(converse(converse(meet(X_427,X_428)))) != complement(converse(converse(meet(X_427,X_428))))
| converse(converse(meet(X_427,X_428))) != meet(X_427,X_428)
| complement(converse(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(meet(X_427,X_428)))),complement(converse(converse(meet(X_427,X_428))))) ),[1,0],$fot(meet(X_427,X_428))]]) ).
cnf(refute_0_3977,plain,
( converse(converse(meet(X_427,X_428))) != meet(X_427,X_428)
| complement(converse(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(X_427,X_428)))),complement(converse(converse(meet(X_427,X_428))))) )],[refute_0_3975,refute_0_3976]) ).
cnf(refute_0_3978,plain,
complement(converse(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)),
inference(resolve,[$cnf( $equal(converse(converse(meet(X_427,X_428))),meet(X_427,X_428)) )],[refute_0_3974,refute_0_3977]) ).
cnf(refute_0_3979,plain,
converse(complement(converse(meet(X_427,X_428)))) = complement(converse(converse(meet(X_427,X_428)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(meet(X_427,X_428))))]]) ).
cnf(refute_0_3980,plain,
( complement(converse(converse(meet(X_427,X_428)))) != complement(meet(X_427,X_428))
| converse(complement(converse(meet(X_427,X_428)))) != complement(converse(converse(meet(X_427,X_428))))
| converse(complement(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(meet(X_427,X_428)))))),bind(Y,$fot(complement(converse(converse(meet(X_427,X_428)))))),bind(Z,$fot(complement(meet(X_427,X_428))))]]) ).
cnf(refute_0_3981,plain,
( complement(converse(converse(meet(X_427,X_428)))) != complement(meet(X_427,X_428))
| converse(complement(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(X_427,X_428)))),complement(converse(converse(meet(X_427,X_428))))) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
converse(complement(converse(meet(X_427,X_428)))) = complement(meet(X_427,X_428)),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(X_427,X_428)))),complement(meet(X_427,X_428))) )],[refute_0_3978,refute_0_3981]) ).
cnf(refute_0_3983,plain,
join(X_428,converse(complement(converse(meet(X_427,X_428))))) = join(X_428,converse(complement(converse(meet(X_427,X_428))))),
introduced(tautology,[refl,[$fot(join(X_428,converse(complement(converse(meet(X_427,X_428))))))]]) ).
cnf(refute_0_3984,plain,
( converse(complement(converse(meet(X_427,X_428)))) != complement(meet(X_427,X_428))
| join(X_428,converse(complement(converse(meet(X_427,X_428))))) != join(X_428,converse(complement(converse(meet(X_427,X_428)))))
| join(X_428,converse(complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_428,converse(complement(converse(meet(X_427,X_428))))),join(X_428,converse(complement(converse(meet(X_427,X_428)))))) ),[1,1],$fot(complement(meet(X_427,X_428)))]]) ).
cnf(refute_0_3985,plain,
( converse(complement(converse(meet(X_427,X_428)))) != complement(meet(X_427,X_428))
| join(X_428,converse(complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(resolve,[$cnf( $equal(join(X_428,converse(complement(converse(meet(X_427,X_428))))),join(X_428,converse(complement(converse(meet(X_427,X_428)))))) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
join(X_428,converse(complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(X_427,X_428)))),complement(meet(X_427,X_428))) )],[refute_0_3982,refute_0_3985]) ).
cnf(refute_0_3987,plain,
converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) = join(X_428,converse(complement(converse(meet(X_427,X_428))))),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_428)),bind(X_5,$fot(complement(converse(meet(X_427,X_428)))))]]) ).
cnf(refute_0_3988,plain,
( converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) != join(X_428,converse(complement(converse(meet(X_427,X_428)))))
| join(X_428,converse(complement(converse(meet(X_427,X_428))))) != join(X_428,complement(meet(X_427,X_428)))
| converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))),bind(Y,$fot(join(X_428,converse(complement(converse(meet(X_427,X_428))))))),bind(Z,$fot(join(X_428,complement(meet(X_427,X_428)))))]]) ).
cnf(refute_0_3989,plain,
( join(X_428,converse(complement(converse(meet(X_427,X_428))))) != join(X_428,complement(meet(X_427,X_428)))
| converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))),join(X_428,converse(complement(converse(meet(X_427,X_428)))))) )],[refute_0_3987,refute_0_3988]) ).
cnf(refute_0_3990,plain,
converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) = join(X_428,complement(meet(X_427,X_428))),
inference(resolve,[$cnf( $equal(join(X_428,converse(complement(converse(meet(X_427,X_428))))),join(X_428,complement(meet(X_427,X_428)))) )],[refute_0_3986,refute_0_3989]) ).
cnf(refute_0_3991,plain,
join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),
introduced(tautology,[refl,[$fot(join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))]]) ).
cnf(refute_0_3992,plain,
( converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) != join(X_428,complement(meet(X_427,X_428)))
| join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))
| join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) ),[1,1],$fot(join(X_428,complement(meet(X_427,X_428))))]]) ).
cnf(refute_0_3993,plain,
( converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))) != join(X_428,complement(meet(X_427,X_428)))
| join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) )],[refute_0_3991,refute_0_3992]) ).
cnf(refute_0_3994,plain,
join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))),join(X_428,complement(meet(X_427,X_428)))) )],[refute_0_3990,refute_0_3993]) ).
cnf(refute_0_3995,plain,
join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))]]) ).
cnf(refute_0_3996,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3997,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) )],[refute_0_3995,refute_0_3996]) ).
cnf(refute_0_3998,plain,
join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_924,refute_0_3997]) ).
cnf(refute_0_3999,plain,
( join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))
| join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(zero,join(X_428,complement(meet(X_427,X_428))))
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))),bind(Y,$fot(join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))),bind(Z,$fot(join(zero,join(X_428,complement(meet(X_427,X_428))))))]]) ).
cnf(refute_0_4000,plain,
( join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(zero,join(X_428,complement(meet(X_427,X_428))))
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) )],[refute_0_3998,refute_0_3999]) ).
cnf(refute_0_4001,plain,
join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(zero,join(X_428,complement(meet(X_427,X_428)))),
inference(resolve,[$cnf( $equal(join(zero,converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(zero,join(X_428,complement(meet(X_427,X_428))))) )],[refute_0_3994,refute_0_4000]) ).
cnf(refute_0_4002,plain,
( join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(zero,join(X_428,complement(meet(X_427,X_428))))
| join(zero,join(X_428,complement(meet(X_427,X_428)))) != join(X_428,complement(meet(X_427,X_428)))
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))),bind(Y,$fot(join(zero,join(X_428,complement(meet(X_427,X_428)))))),bind(Z,$fot(join(X_428,complement(meet(X_427,X_428)))))]]) ).
cnf(refute_0_4003,plain,
( join(zero,join(X_428,complement(meet(X_427,X_428)))) != join(X_428,complement(meet(X_427,X_428)))
| join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(zero,join(X_428,complement(meet(X_427,X_428))))) )],[refute_0_4001,refute_0_4002]) ).
cnf(refute_0_4004,plain,
join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) = join(X_428,complement(meet(X_427,X_428))),
inference(resolve,[$cnf( $equal(join(zero,join(X_428,complement(meet(X_427,X_428)))),join(X_428,complement(meet(X_427,X_428)))) )],[refute_0_3973,refute_0_4003]) ).
cnf(refute_0_4005,plain,
join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),
inference(subst,[],[refute_0_971:[bind(X_13,$fot(complement(converse(top)))),bind(X_346,$fot(converse(X_428))),bind(X_347,$fot(complement(converse(meet(X_427,X_428)))))]]) ).
cnf(refute_0_4006,plain,
( join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(X_428,complement(meet(X_427,X_428)))
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) != join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))))),bind(Y,$fot(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))))),bind(Z,$fot(join(X_428,complement(meet(X_427,X_428)))))]]) ).
cnf(refute_0_4007,plain,
( join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))) != join(X_428,complement(meet(X_427,X_428)))
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = join(X_428,complement(meet(X_427,X_428))) ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))),join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428))))))) )],[refute_0_4005,refute_0_4006]) ).
cnf(refute_0_4008,plain,
join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) = join(X_428,complement(meet(X_427,X_428))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(converse(X_428),complement(converse(meet(X_427,X_428)))))),join(X_428,complement(meet(X_427,X_428)))) )],[refute_0_4004,refute_0_4007]) ).
cnf(refute_0_4009,plain,
( join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) != join(X_428,complement(meet(X_427,X_428)))
| join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) != top
| join(X_428,complement(meet(X_427,X_428))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))),top) ),[0],$fot(join(X_428,complement(meet(X_427,X_428))))]]) ).
cnf(refute_0_4010,plain,
( join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))) != top
| join(X_428,complement(meet(X_427,X_428))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))),join(X_428,complement(meet(X_427,X_428)))) )],[refute_0_4008,refute_0_4009]) ).
cnf(refute_0_4011,plain,
join(X_428,complement(meet(X_427,X_428))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(meet(X_427,X_428))),converse(X_428))),complement(converse(top))),top) )],[refute_0_3972,refute_0_4010]) ).
cnf(refute_0_4012,plain,
join(X_600,complement(meet(X_427,X_600))) = top,
inference(subst,[],[refute_0_4011:[bind(X_428,$fot(X_600))]]) ).
cnf(refute_0_4013,plain,
( join(X_600,complement(meet(X_427,X_600))) != top
| meet(complement(X_600),meet(X_427,X_600)) != complement(join(X_600,complement(meet(X_427,X_600))))
| meet(complement(X_600),meet(X_427,X_600)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),meet(X_427,X_600)),complement(join(X_600,complement(meet(X_427,X_600))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4014,plain,
( meet(complement(X_600),meet(X_427,X_600)) != complement(join(X_600,complement(meet(X_427,X_600))))
| meet(complement(X_600),meet(X_427,X_600)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_600,complement(meet(X_427,X_600))),top) )],[refute_0_4012,refute_0_4013]) ).
cnf(refute_0_4015,plain,
meet(complement(X_600),meet(X_427,X_600)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_600),meet(X_427,X_600)),complement(join(X_600,complement(meet(X_427,X_600))))) )],[refute_0_3955,refute_0_4014]) ).
cnf(refute_0_4016,plain,
( complement(top) != zero
| meet(complement(X_600),meet(X_427,X_600)) != complement(top)
| meet(complement(X_600),meet(X_427,X_600)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),meet(X_427,X_600)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4017,plain,
( meet(complement(X_600),meet(X_427,X_600)) != complement(top)
| meet(complement(X_600),meet(X_427,X_600)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4016]) ).
cnf(refute_0_4018,plain,
meet(complement(X_600),meet(X_427,X_600)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_600),meet(X_427,X_600)),complement(top)) )],[refute_0_4015,refute_0_4017]) ).
cnf(refute_0_4019,plain,
meet(complement(converse(join(sk1,complement(one)))),meet(converse(sk1),converse(join(sk1,complement(one))))) = zero,
inference(subst,[],[refute_0_4018:[bind(X_427,$fot(converse(sk1))),bind(X_600,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_4020,plain,
meet(converse(sk1),join(complement(one),converse(sk1))) = meet(converse(sk1),join(complement(one),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_4021,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(converse(sk1),join(complement(one),converse(sk1))) != meet(converse(sk1),join(complement(one),converse(sk1)))
| meet(converse(sk1),join(complement(one),converse(sk1))) = meet(converse(sk1),converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),join(complement(one),converse(sk1))),meet(converse(sk1),join(complement(one),converse(sk1)))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4022,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(converse(sk1),join(complement(one),converse(sk1))) = meet(converse(sk1),converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(one),converse(sk1))),meet(converse(sk1),join(complement(one),converse(sk1)))) )],[refute_0_4020,refute_0_4021]) ).
cnf(refute_0_4023,plain,
meet(converse(sk1),join(complement(one),converse(sk1))) = meet(converse(sk1),converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_3636,refute_0_4022]) ).
cnf(refute_0_4024,plain,
( converse(sk1) != meet(converse(sk1),join(complement(one),converse(sk1)))
| meet(converse(sk1),join(complement(one),converse(sk1))) != meet(converse(sk1),converse(join(sk1,complement(one))))
| converse(sk1) = meet(converse(sk1),converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(converse(sk1),converse(join(sk1,complement(one))))) ),[0],$fot(meet(converse(sk1),join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_4025,plain,
( converse(sk1) != meet(converse(sk1),join(complement(one),converse(sk1)))
| converse(sk1) = meet(converse(sk1),converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(one),converse(sk1))),meet(converse(sk1),converse(join(sk1,complement(one))))) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
converse(sk1) = meet(converse(sk1),converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(one),converse(sk1)))) )],[refute_0_3560,refute_0_4025]) ).
cnf(refute_0_4027,plain,
( converse(sk1) != meet(converse(sk1),converse(join(sk1,complement(one))))
| meet(converse(sk1),converse(join(sk1,complement(one)))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_4028,plain,
meet(converse(sk1),converse(join(sk1,complement(one)))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(sk1,complement(one))))) )],[refute_0_4026,refute_0_4027]) ).
cnf(refute_0_4029,plain,
( meet(complement(converse(join(sk1,complement(one)))),meet(converse(sk1),converse(join(sk1,complement(one))))) != zero
| meet(converse(sk1),converse(join(sk1,complement(one)))) != converse(sk1)
| meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),meet(converse(sk1),converse(join(sk1,complement(one))))),zero) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_4030,plain,
( meet(complement(converse(join(sk1,complement(one)))),meet(converse(sk1),converse(join(sk1,complement(one))))) != zero
| meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(sk1,complement(one)))),converse(sk1)) )],[refute_0_4028,refute_0_4029]) ).
cnf(refute_0_4031,plain,
meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),meet(converse(sk1),converse(join(sk1,complement(one))))),zero) )],[refute_0_4019,refute_0_4030]) ).
cnf(refute_0_4032,plain,
converse(meet(complement(sk1),one)) = converse(meet(complement(sk1),one)),
introduced(tautology,[refl,[$fot(converse(meet(complement(sk1),one)))]]) ).
cnf(refute_0_4033,plain,
( converse(meet(complement(sk1),one)) != converse(meet(complement(sk1),one))
| meet(complement(sk1),one) != meet(one,complement(sk1))
| converse(meet(complement(sk1),one)) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(sk1),one)),converse(meet(complement(sk1),one))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_4034,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| converse(meet(complement(sk1),one)) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(sk1),one)),converse(meet(complement(sk1),one))) )],[refute_0_4032,refute_0_4033]) ).
cnf(refute_0_4035,plain,
converse(meet(complement(sk1),one)) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_1699,refute_0_4034]) ).
cnf(refute_0_4036,plain,
converse(complement(join(X_600,complement(X_599)))) = complement(converse(join(X_600,complement(X_599)))),
inference(subst,[],[refute_0_901:[bind(A,$fot(join(X_600,complement(X_599))))]]) ).
cnf(refute_0_4037,plain,
meet(complement(X_600),X_599) = complement(join(X_600,complement(X_599))),
inference(subst,[],[refute_0_282:[bind(B,$fot(X_599)),bind(X_31,$fot(X_600))]]) ).
cnf(refute_0_4038,plain,
( meet(complement(X_600),X_599) != complement(join(X_600,complement(X_599)))
| complement(join(X_600,complement(X_599))) = meet(complement(X_600),X_599) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_600),X_599))),bind(Y,$fot(complement(join(X_600,complement(X_599)))))]]) ).
cnf(refute_0_4039,plain,
complement(join(X_600,complement(X_599))) = meet(complement(X_600),X_599),
inference(resolve,[$cnf( $equal(meet(complement(X_600),X_599),complement(join(X_600,complement(X_599)))) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
( complement(join(X_600,complement(X_599))) != meet(complement(X_600),X_599)
| converse(complement(join(X_600,complement(X_599)))) != complement(converse(join(X_600,complement(X_599))))
| converse(meet(complement(X_600),X_599)) = complement(converse(join(X_600,complement(X_599)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(X_600,complement(X_599)))),complement(converse(join(X_600,complement(X_599))))) ),[0,0],$fot(meet(complement(X_600),X_599))]]) ).
cnf(refute_0_4041,plain,
( converse(complement(join(X_600,complement(X_599)))) != complement(converse(join(X_600,complement(X_599))))
| converse(meet(complement(X_600),X_599)) = complement(converse(join(X_600,complement(X_599)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_600,complement(X_599))),meet(complement(X_600),X_599)) )],[refute_0_4039,refute_0_4040]) ).
cnf(refute_0_4042,plain,
converse(meet(complement(X_600),X_599)) = complement(converse(join(X_600,complement(X_599)))),
inference(resolve,[$cnf( $equal(converse(complement(join(X_600,complement(X_599)))),complement(converse(join(X_600,complement(X_599))))) )],[refute_0_4036,refute_0_4041]) ).
cnf(refute_0_4043,plain,
( converse(meet(complement(X_600),X_599)) != complement(converse(join(X_600,complement(X_599))))
| complement(converse(join(X_600,complement(X_599)))) = converse(meet(complement(X_600),X_599)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(complement(X_600),X_599)))),bind(Y,$fot(complement(converse(join(X_600,complement(X_599))))))]]) ).
cnf(refute_0_4044,plain,
complement(converse(join(X_600,complement(X_599)))) = converse(meet(complement(X_600),X_599)),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_600),X_599)),complement(converse(join(X_600,complement(X_599))))) )],[refute_0_4042,refute_0_4043]) ).
cnf(refute_0_4045,plain,
complement(converse(join(sk1,complement(one)))) = converse(meet(complement(sk1),one)),
inference(subst,[],[refute_0_4044:[bind(X_599,$fot(one)),bind(X_600,$fot(sk1))]]) ).
cnf(refute_0_4046,plain,
( complement(converse(join(sk1,complement(one)))) != converse(meet(complement(sk1),one))
| converse(meet(complement(sk1),one)) != converse(meet(one,complement(sk1)))
| complement(converse(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(join(sk1,complement(one)))))),bind(Y,$fot(converse(meet(complement(sk1),one)))),bind(Z,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4047,plain,
( converse(meet(complement(sk1),one)) != converse(meet(one,complement(sk1)))
| complement(converse(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),converse(meet(complement(sk1),one))) )],[refute_0_4045,refute_0_4046]) ).
cnf(refute_0_4048,plain,
complement(converse(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(complement(sk1),one)),converse(meet(one,complement(sk1)))) )],[refute_0_4035,refute_0_4047]) ).
cnf(refute_0_4049,plain,
meet(converse(sk1),complement(converse(join(sk1,complement(one))))) = meet(converse(sk1),complement(converse(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_4050,plain,
( complement(converse(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| meet(converse(sk1),complement(converse(join(sk1,complement(one))))) != meet(converse(sk1),complement(converse(join(sk1,complement(one)))))
| meet(converse(sk1),complement(converse(join(sk1,complement(one))))) = meet(converse(sk1),converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(converse(join(sk1,complement(one))))),meet(converse(sk1),complement(converse(join(sk1,complement(one)))))) ),[1,1],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4051,plain,
( complement(converse(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| meet(converse(sk1),complement(converse(join(sk1,complement(one))))) = meet(converse(sk1),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(join(sk1,complement(one))))),meet(converse(sk1),complement(converse(join(sk1,complement(one)))))) )],[refute_0_4049,refute_0_4050]) ).
cnf(refute_0_4052,plain,
meet(converse(sk1),complement(converse(join(sk1,complement(one))))) = meet(converse(sk1),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),converse(meet(one,complement(sk1)))) )],[refute_0_4048,refute_0_4051]) ).
cnf(refute_0_4053,plain,
meet(X_275,converse(sk1)) = join(meet(one,meet(X_275,converse(sk1))),meet(complement(one),meet(X_275,converse(sk1)))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(one)),bind(X_99,$fot(meet(X_275,converse(sk1))))]]) ).
cnf(refute_0_4054,plain,
complement(join(X_67,complement(converse(sk1)))) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(join(one,join(X_67,complement(converse(sk1))))))))),
inference(subst,[],[refute_0_2421:[bind(B,$fot(join(X_67,complement(converse(sk1)))))]]) ).
cnf(refute_0_4055,plain,
converse(converse(join(one,join(X_67,complement(converse(sk1)))))) = join(one,join(X_67,complement(converse(sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,join(X_67,complement(converse(sk1))))))]]) ).
cnf(refute_0_4056,plain,
converse(join(X_64,join(one,complement(converse(sk1))))) = converse(join(one,join(X_64,complement(converse(sk1))))),
inference(subst,[],[refute_0_599:[bind(B,$fot(complement(converse(sk1)))),bind(X_10,$fot(X_64)),bind(X_11,$fot(one))]]) ).
cnf(refute_0_4057,plain,
( converse(join(X_64,join(one,complement(converse(sk1))))) != converse(join(one,join(X_64,complement(converse(sk1)))))
| join(one,complement(converse(sk1))) != top
| converse(join(X_64,top)) = converse(join(one,join(X_64,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,join(one,complement(converse(sk1))))),converse(join(one,join(X_64,complement(converse(sk1)))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_4058,plain,
( converse(join(X_64,join(one,complement(converse(sk1))))) != converse(join(one,join(X_64,complement(converse(sk1)))))
| converse(join(X_64,top)) = converse(join(one,join(X_64,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),top) )],[refute_0_2525,refute_0_4057]) ).
cnf(refute_0_4059,plain,
converse(join(X_64,top)) = converse(join(one,join(X_64,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(X_64,join(one,complement(converse(sk1))))),converse(join(one,join(X_64,complement(converse(sk1)))))) )],[refute_0_4056,refute_0_4058]) ).
cnf(refute_0_4060,plain,
( converse(join(X_64,top)) != converse(join(one,join(X_64,complement(converse(sk1)))))
| converse(join(X_64,top)) != top
| top = converse(join(one,join(X_64,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,top)),converse(join(one,join(X_64,complement(converse(sk1)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4061,plain,
( converse(join(X_64,top)) != converse(join(one,join(X_64,complement(converse(sk1)))))
| top = converse(join(one,join(X_64,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),top) )],[refute_0_617,refute_0_4060]) ).
cnf(refute_0_4062,plain,
top = converse(join(one,join(X_64,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),converse(join(one,join(X_64,complement(converse(sk1)))))) )],[refute_0_4059,refute_0_4061]) ).
cnf(refute_0_4063,plain,
top = converse(join(one,join(X_67,complement(converse(sk1))))),
inference(subst,[],[refute_0_4062:[bind(X_64,$fot(X_67))]]) ).
cnf(refute_0_4064,plain,
( top != converse(join(one,join(X_67,complement(converse(sk1)))))
| converse(join(one,join(X_67,complement(converse(sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,join(X_67,complement(converse(sk1)))))))]]) ).
cnf(refute_0_4065,plain,
converse(join(one,join(X_67,complement(converse(sk1))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,join(X_67,complement(converse(sk1)))))) )],[refute_0_4063,refute_0_4064]) ).
cnf(refute_0_4066,plain,
( converse(converse(join(one,join(X_67,complement(converse(sk1)))))) != join(one,join(X_67,complement(converse(sk1))))
| converse(join(one,join(X_67,complement(converse(sk1))))) != top
| converse(top) = join(one,join(X_67,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(X_67,complement(converse(sk1)))))),join(one,join(X_67,complement(converse(sk1))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4067,plain,
( converse(converse(join(one,join(X_67,complement(converse(sk1)))))) != join(one,join(X_67,complement(converse(sk1))))
| converse(top) = join(one,join(X_67,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_67,complement(converse(sk1))))),top) )],[refute_0_4065,refute_0_4066]) ).
cnf(refute_0_4068,plain,
converse(top) = join(one,join(X_67,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(X_67,complement(converse(sk1)))))),join(one,join(X_67,complement(converse(sk1))))) )],[refute_0_4055,refute_0_4067]) ).
cnf(refute_0_4069,plain,
( converse(top) != join(one,join(X_67,complement(converse(sk1))))
| converse(top) != top
| top = join(one,join(X_67,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,join(X_67,complement(converse(sk1))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4070,plain,
( converse(top) != join(one,join(X_67,complement(converse(sk1))))
| top = join(one,join(X_67,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_4069]) ).
cnf(refute_0_4071,plain,
top = join(one,join(X_67,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(X_67,complement(converse(sk1))))) )],[refute_0_4068,refute_0_4070]) ).
cnf(refute_0_4072,plain,
( top != join(one,join(X_67,complement(converse(sk1))))
| join(one,join(X_67,complement(converse(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_67,complement(converse(sk1))))))]]) ).
cnf(refute_0_4073,plain,
join(one,join(X_67,complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_67,complement(converse(sk1))))) )],[refute_0_4071,refute_0_4072]) ).
cnf(refute_0_4074,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(join(one,join(X_67,complement(converse(sk1)))))))))
| join(one,join(X_67,complement(converse(sk1)))) != top
| complement(join(X_67,complement(converse(sk1)))) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(join(one,join(X_67,complement(converse(sk1)))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_4075,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(join(one,join(X_67,complement(converse(sk1)))))))))
| complement(join(X_67,complement(converse(sk1)))) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_67,complement(converse(sk1)))),top) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
complement(join(X_67,complement(converse(sk1)))) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(join(one,join(X_67,complement(converse(sk1)))))))))) )],[refute_0_4054,refute_0_4075]) ).
cnf(refute_0_4077,plain,
complement(join(X_67,complement(converse(sk1)))) = meet(complement(X_67),converse(sk1)),
inference(subst,[],[refute_0_638:[bind(B,$fot(converse(sk1))),bind(X_31,$fot(X_67))]]) ).
cnf(refute_0_4078,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(X_67),converse(sk1))
| complement(join(X_67,complement(converse(sk1)))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_67),converse(sk1)) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))) ),[0],$fot(meet(complement(X_67),converse(sk1)))]]) ).
cnf(refute_0_4079,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_67),converse(sk1)) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(X_67),converse(sk1))) )],[refute_0_4077,refute_0_4078]) ).
cnf(refute_0_4080,plain,
meet(meet(complement(X_67),converse(sk1)),one) = meet(one,meet(complement(X_67),converse(sk1))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(one)),bind(X_27,$fot(meet(complement(X_67),converse(sk1))))]]) ).
cnf(refute_0_4081,plain,
meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_4082,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) != meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top)))))
| meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))),meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4083,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))),meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top)))))) )],[refute_0_4081,refute_0_4082]) ).
cnf(refute_0_4084,plain,
meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_4083]) ).
cnf(refute_0_4085,plain,
meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_4086,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(X_67),converse(sk1))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))) ),[1,0],$fot(meet(complement(X_67),converse(sk1)))]]) ).
cnf(refute_0_4087,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(X_67),converse(sk1))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_4085,refute_0_4086]) ).
cnf(refute_0_4088,plain,
meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(X_67),converse(sk1))) )],[refute_0_4077,refute_0_4087]) ).
cnf(refute_0_4089,plain,
( meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) != meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top)))))
| meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) != meet(meet(complement(X_67),converse(sk1)),one)
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))))),bind(Z,$fot(meet(meet(complement(X_67),converse(sk1)),one)))]]) ).
cnf(refute_0_4090,plain,
( meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))) != meet(meet(complement(X_67),converse(sk1)),one)
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top)))))) )],[refute_0_4088,refute_0_4089]) ).
cnf(refute_0_4091,plain,
meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(meet(complement(X_67),converse(sk1)),one),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_67),converse(sk1)),converse(join(one,complement(converse(top))))),meet(meet(complement(X_67),converse(sk1)),one)) )],[refute_0_4084,refute_0_4090]) ).
cnf(refute_0_4092,plain,
( meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) != meet(meet(complement(X_67),converse(sk1)),one)
| meet(meet(complement(X_67),converse(sk1)),one) != meet(one,meet(complement(X_67),converse(sk1)))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(one,meet(complement(X_67),converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(meet(complement(X_67),converse(sk1)),one))),bind(Z,$fot(meet(one,meet(complement(X_67),converse(sk1)))))]]) ).
cnf(refute_0_4093,plain,
( meet(meet(complement(X_67),converse(sk1)),one) != meet(one,meet(complement(X_67),converse(sk1)))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(one,meet(complement(X_67),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),meet(meet(complement(X_67),converse(sk1)),one)) )],[refute_0_4091,refute_0_4092]) ).
cnf(refute_0_4094,plain,
meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) = meet(one,meet(complement(X_67),converse(sk1))),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_67),converse(sk1)),one),meet(one,meet(complement(X_67),converse(sk1)))) )],[refute_0_4080,refute_0_4093]) ).
cnf(refute_0_4095,plain,
( meet(complement(X_67),converse(sk1)) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))) != meet(one,meet(complement(X_67),converse(sk1)))
| meet(complement(X_67),converse(sk1)) = meet(one,meet(complement(X_67),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_67),converse(sk1)),meet(one,meet(complement(X_67),converse(sk1)))) ),[0],$fot(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_4096,plain,
( meet(complement(X_67),converse(sk1)) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_67),converse(sk1)) = meet(one,meet(complement(X_67),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top))))),meet(one,meet(complement(X_67),converse(sk1)))) )],[refute_0_4094,refute_0_4095]) ).
cnf(refute_0_4097,plain,
( complement(join(X_67,complement(converse(sk1)))) != meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_67),converse(sk1)) = meet(one,meet(complement(X_67),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_67),converse(sk1)),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_4079,refute_0_4096]) ).
cnf(refute_0_4098,plain,
meet(complement(X_67),converse(sk1)) = meet(one,meet(complement(X_67),converse(sk1))),
inference(resolve,[$cnf( $equal(complement(join(X_67,complement(converse(sk1)))),meet(complement(join(X_67,complement(converse(sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_4076,refute_0_4097]) ).
cnf(refute_0_4099,plain,
meet(complement(complement(B)),converse(sk1)) = meet(one,meet(complement(complement(B)),converse(sk1))),
inference(subst,[],[refute_0_4098:[bind(X_67,$fot(complement(B)))]]) ).
cnf(refute_0_4100,plain,
( complement(complement(B)) != B
| meet(complement(complement(B)),converse(sk1)) != meet(one,meet(complement(complement(B)),converse(sk1)))
| meet(complement(complement(B)),converse(sk1)) = meet(one,meet(B,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(one,meet(complement(complement(B)),converse(sk1)))) ),[1,1,0],$fot(B)]]) ).
cnf(refute_0_4101,plain,
( meet(complement(complement(B)),converse(sk1)) != meet(one,meet(complement(complement(B)),converse(sk1)))
| meet(complement(complement(B)),converse(sk1)) = meet(one,meet(B,converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_4100]) ).
cnf(refute_0_4102,plain,
meet(complement(complement(B)),converse(sk1)) = meet(one,meet(B,converse(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(one,meet(complement(complement(B)),converse(sk1)))) )],[refute_0_4099,refute_0_4101]) ).
cnf(refute_0_4103,plain,
meet(converse(sk1),complement(complement(B))) = meet(converse(sk1),complement(complement(B))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),complement(complement(B))))]]) ).
cnf(refute_0_4104,plain,
( complement(complement(B)) != B
| meet(converse(sk1),complement(complement(B))) != meet(converse(sk1),complement(complement(B)))
| meet(converse(sk1),complement(complement(B))) = meet(converse(sk1),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(complement(B))),meet(converse(sk1),complement(complement(B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_4105,plain,
( complement(complement(B)) != B
| meet(converse(sk1),complement(complement(B))) = meet(converse(sk1),B) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(complement(B))),meet(converse(sk1),complement(complement(B)))) )],[refute_0_4103,refute_0_4104]) ).
cnf(refute_0_4106,plain,
meet(converse(sk1),complement(complement(B))) = meet(converse(sk1),B),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_4105]) ).
cnf(refute_0_4107,plain,
meet(complement(complement(B)),converse(sk1)) = meet(converse(sk1),complement(complement(B))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(converse(sk1))),bind(X_27,$fot(complement(complement(B))))]]) ).
cnf(refute_0_4108,plain,
( meet(complement(complement(B)),converse(sk1)) != meet(converse(sk1),complement(complement(B)))
| meet(converse(sk1),complement(complement(B))) != meet(converse(sk1),B)
| meet(complement(complement(B)),converse(sk1)) = meet(converse(sk1),B) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(complement(B)),converse(sk1)))),bind(Y,$fot(meet(converse(sk1),complement(complement(B))))),bind(Z,$fot(meet(converse(sk1),B)))]]) ).
cnf(refute_0_4109,plain,
( meet(converse(sk1),complement(complement(B))) != meet(converse(sk1),B)
| meet(complement(complement(B)),converse(sk1)) = meet(converse(sk1),B) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(converse(sk1),complement(complement(B)))) )],[refute_0_4107,refute_0_4108]) ).
cnf(refute_0_4110,plain,
meet(complement(complement(B)),converse(sk1)) = meet(converse(sk1),B),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(complement(B))),meet(converse(sk1),B)) )],[refute_0_4106,refute_0_4109]) ).
cnf(refute_0_4111,plain,
( meet(complement(complement(B)),converse(sk1)) != meet(converse(sk1),B)
| meet(complement(complement(B)),converse(sk1)) != meet(one,meet(B,converse(sk1)))
| meet(converse(sk1),B) = meet(one,meet(B,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(one,meet(B,converse(sk1)))) ),[0],$fot(meet(converse(sk1),B))]]) ).
cnf(refute_0_4112,plain,
( meet(complement(complement(B)),converse(sk1)) != meet(one,meet(B,converse(sk1)))
| meet(converse(sk1),B) = meet(one,meet(B,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(converse(sk1),B)) )],[refute_0_4110,refute_0_4111]) ).
cnf(refute_0_4113,plain,
meet(converse(sk1),B) = meet(one,meet(B,converse(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),converse(sk1)),meet(one,meet(B,converse(sk1)))) )],[refute_0_4102,refute_0_4112]) ).
cnf(refute_0_4114,plain,
meet(converse(sk1),X_275) = meet(one,meet(X_275,converse(sk1))),
inference(subst,[],[refute_0_4113:[bind(B,$fot(X_275))]]) ).
cnf(refute_0_4115,plain,
( meet(converse(sk1),X_275) != meet(one,meet(X_275,converse(sk1)))
| meet(one,meet(X_275,converse(sk1))) = meet(converse(sk1),X_275) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(converse(sk1),X_275))),bind(Y,$fot(meet(one,meet(X_275,converse(sk1)))))]]) ).
cnf(refute_0_4116,plain,
meet(one,meet(X_275,converse(sk1))) = meet(converse(sk1),X_275),
inference(resolve,[$cnf( $equal(meet(converse(sk1),X_275),meet(one,meet(X_275,converse(sk1)))) )],[refute_0_4114,refute_0_4115]) ).
cnf(refute_0_4117,plain,
( meet(X_275,converse(sk1)) != join(meet(one,meet(X_275,converse(sk1))),meet(complement(one),meet(X_275,converse(sk1))))
| meet(one,meet(X_275,converse(sk1))) != meet(converse(sk1),X_275)
| meet(X_275,converse(sk1)) = join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_275,converse(sk1)),join(meet(one,meet(X_275,converse(sk1))),meet(complement(one),meet(X_275,converse(sk1))))) ),[1,0],$fot(meet(converse(sk1),X_275))]]) ).
cnf(refute_0_4118,plain,
( meet(X_275,converse(sk1)) != join(meet(one,meet(X_275,converse(sk1))),meet(complement(one),meet(X_275,converse(sk1))))
| meet(X_275,converse(sk1)) = join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_275,converse(sk1))),meet(converse(sk1),X_275)) )],[refute_0_4116,refute_0_4117]) ).
cnf(refute_0_4119,plain,
meet(X_275,converse(sk1)) = join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(X_275,converse(sk1)),join(meet(one,meet(X_275,converse(sk1))),meet(complement(one),meet(X_275,converse(sk1))))) )],[refute_0_4053,refute_0_4118]) ).
cnf(refute_0_4120,plain,
join(zero,meet(converse(sk1),X_275)) = meet(converse(sk1),X_275),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(converse(sk1),X_275)))]]) ).
cnf(refute_0_4121,plain,
join(meet(converse(sk1),X_275),zero) = join(zero,meet(converse(sk1),X_275)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(meet(converse(sk1),X_275)))]]) ).
cnf(refute_0_4122,plain,
( join(meet(converse(sk1),X_275),zero) != join(zero,meet(converse(sk1),X_275))
| join(zero,meet(converse(sk1),X_275)) != meet(converse(sk1),X_275)
| join(meet(converse(sk1),X_275),zero) = meet(converse(sk1),X_275) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(sk1),X_275),zero))),bind(Y,$fot(join(zero,meet(converse(sk1),X_275)))),bind(Z,$fot(meet(converse(sk1),X_275)))]]) ).
cnf(refute_0_4123,plain,
( join(zero,meet(converse(sk1),X_275)) != meet(converse(sk1),X_275)
| join(meet(converse(sk1),X_275),zero) = meet(converse(sk1),X_275) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),X_275),zero),join(zero,meet(converse(sk1),X_275))) )],[refute_0_4121,refute_0_4122]) ).
cnf(refute_0_4124,plain,
join(meet(converse(sk1),X_275),zero) = meet(converse(sk1),X_275),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk1),X_275)),meet(converse(sk1),X_275)) )],[refute_0_4120,refute_0_4123]) ).
cnf(refute_0_4125,plain,
complement(join(one,complement(meet(X_530,converse(sk1))))) = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))),
inference(subst,[],[refute_0_2706:[bind(X_177,$fot(complement(meet(X_530,converse(sk1)))))]]) ).
cnf(refute_0_4126,plain,
join(one,join(converse(sk1),X_134)) = join(converse(join(one,sk1)),X_134),
inference(subst,[],[refute_0_1918:[bind(X_5,$fot(sk1)),bind(X_51,$fot(X_134))]]) ).
cnf(refute_0_4127,plain,
( join(one,join(converse(sk1),X_134)) != join(converse(join(one,sk1)),X_134)
| join(one,sk1) != one
| join(one,join(converse(sk1),X_134)) = join(converse(one),X_134) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(sk1),X_134)),join(converse(join(one,sk1)),X_134)) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_4128,plain,
( join(one,join(converse(sk1),X_134)) != join(converse(join(one,sk1)),X_134)
| join(one,join(converse(sk1),X_134)) = join(converse(one),X_134) ),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_1649,refute_0_4127]) ).
cnf(refute_0_4129,plain,
join(one,join(converse(sk1),X_134)) = join(converse(one),X_134),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),X_134)),join(converse(join(one,sk1)),X_134)) )],[refute_0_4126,refute_0_4128]) ).
cnf(refute_0_4130,plain,
join(converse(one),X_134) = join(converse(one),X_134),
introduced(tautology,[refl,[$fot(join(converse(one),X_134))]]) ).
cnf(refute_0_4131,plain,
( converse(one) != one
| join(converse(one),X_134) != join(converse(one),X_134)
| join(converse(one),X_134) = join(one,X_134) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_134),join(converse(one),X_134)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4132,plain,
( converse(one) != one
| join(converse(one),X_134) = join(one,X_134) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_134),join(converse(one),X_134)) )],[refute_0_4130,refute_0_4131]) ).
cnf(refute_0_4133,plain,
join(converse(one),X_134) = join(one,X_134),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_4132]) ).
cnf(refute_0_4134,plain,
( join(converse(one),X_134) != join(one,X_134)
| join(one,join(converse(sk1),X_134)) != join(converse(one),X_134)
| join(one,join(converse(sk1),X_134)) = join(one,X_134) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(sk1),X_134)),join(converse(one),X_134)) ),[1],$fot(join(one,X_134))]]) ).
cnf(refute_0_4135,plain,
( join(one,join(converse(sk1),X_134)) != join(converse(one),X_134)
| join(one,join(converse(sk1),X_134)) = join(one,X_134) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_134),join(one,X_134)) )],[refute_0_4133,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(one,join(converse(sk1),X_134)) = join(one,X_134),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),X_134)),join(converse(one),X_134)) )],[refute_0_4129,refute_0_4135]) ).
cnf(refute_0_4137,plain,
join(one,join(converse(sk1),complement(meet(X_530,converse(sk1))))) = join(one,complement(meet(X_530,converse(sk1)))),
inference(subst,[],[refute_0_4136:[bind(X_134,$fot(complement(meet(X_530,converse(sk1)))))]]) ).
cnf(refute_0_4138,plain,
join(converse(sk1),complement(meet(X_530,converse(sk1)))) = top,
inference(subst,[],[refute_0_4011:[bind(X_427,$fot(X_530)),bind(X_428,$fot(converse(sk1)))]]) ).
cnf(refute_0_4139,plain,
( join(converse(sk1),complement(meet(X_530,converse(sk1)))) != top
| join(one,join(converse(sk1),complement(meet(X_530,converse(sk1))))) != join(one,complement(meet(X_530,converse(sk1))))
| join(one,top) = join(one,complement(meet(X_530,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(sk1),complement(meet(X_530,converse(sk1))))),join(one,complement(meet(X_530,converse(sk1))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4140,plain,
( join(one,join(converse(sk1),complement(meet(X_530,converse(sk1))))) != join(one,complement(meet(X_530,converse(sk1))))
| join(one,top) = join(one,complement(meet(X_530,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(meet(X_530,converse(sk1)))),top) )],[refute_0_4138,refute_0_4139]) ).
cnf(refute_0_4141,plain,
join(one,top) = join(one,complement(meet(X_530,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),complement(meet(X_530,converse(sk1))))),join(one,complement(meet(X_530,converse(sk1))))) )],[refute_0_4137,refute_0_4140]) ).
cnf(refute_0_4142,plain,
( join(one,top) != join(one,complement(meet(X_530,converse(sk1))))
| join(one,top) != top
| top = join(one,complement(meet(X_530,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(meet(X_530,converse(sk1))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4143,plain,
( join(one,top) != join(one,complement(meet(X_530,converse(sk1))))
| top = join(one,complement(meet(X_530,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1462,refute_0_4142]) ).
cnf(refute_0_4144,plain,
top = join(one,complement(meet(X_530,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(meet(X_530,converse(sk1))))) )],[refute_0_4141,refute_0_4143]) ).
cnf(refute_0_4145,plain,
( top != join(one,complement(meet(X_530,converse(sk1))))
| join(one,complement(meet(X_530,converse(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(X_530,converse(sk1))))))]]) ).
cnf(refute_0_4146,plain,
join(one,complement(meet(X_530,converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(X_530,converse(sk1))))) )],[refute_0_4144,refute_0_4145]) ).
cnf(refute_0_4147,plain,
( complement(join(one,complement(meet(X_530,converse(sk1))))) != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| join(one,complement(meet(X_530,converse(sk1)))) != top
| complement(top) = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(meet(X_530,converse(sk1))))),meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4148,plain,
( complement(join(one,complement(meet(X_530,converse(sk1))))) != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| complement(top) = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(X_530,converse(sk1)))),top) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
complement(top) = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(X_530,converse(sk1))))),meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) )],[refute_0_4125,refute_0_4148]) ).
cnf(refute_0_4150,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| complement(top) != zero
| zero = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_4151,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| zero = meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4150]) ).
cnf(refute_0_4152,plain,
complement(join(one,complement(meet(X_530,converse(sk1))))) = meet(complement(one),meet(X_530,converse(sk1))),
inference(subst,[],[refute_0_638:[bind(B,$fot(meet(X_530,converse(sk1)))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_4153,plain,
meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) = complement(join(one,complement(meet(X_530,converse(sk1))))),
inference(subst,[],[refute_0_2929:[bind(X_177,$fot(complement(meet(X_530,converse(sk1)))))]]) ).
cnf(refute_0_4154,plain,
( complement(join(one,complement(meet(X_530,converse(sk1))))) != meet(complement(one),meet(X_530,converse(sk1)))
| meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) != complement(join(one,complement(meet(X_530,converse(sk1)))))
| meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) = meet(complement(one),meet(X_530,converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))))),bind(Y,$fot(complement(join(one,complement(meet(X_530,converse(sk1))))))),bind(Z,$fot(meet(complement(one),meet(X_530,converse(sk1)))))]]) ).
cnf(refute_0_4155,plain,
( complement(join(one,complement(meet(X_530,converse(sk1))))) != meet(complement(one),meet(X_530,converse(sk1)))
| meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) = meet(complement(one),meet(X_530,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))),complement(join(one,complement(meet(X_530,converse(sk1)))))) )],[refute_0_4153,refute_0_4154]) ).
cnf(refute_0_4156,plain,
meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) = meet(complement(one),meet(X_530,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(X_530,converse(sk1))))),meet(complement(one),meet(X_530,converse(sk1)))) )],[refute_0_4152,refute_0_4155]) ).
cnf(refute_0_4157,plain,
( meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))) != meet(complement(one),meet(X_530,converse(sk1)))
| zero != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| zero = meet(complement(one),meet(X_530,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) ),[1],$fot(meet(complement(one),meet(X_530,converse(sk1))))]]) ).
cnf(refute_0_4158,plain,
( zero != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| zero = meet(complement(one),meet(X_530,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one)))),meet(complement(one),meet(X_530,converse(sk1)))) )],[refute_0_4156,refute_0_4157]) ).
cnf(refute_0_4159,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))
| zero = meet(complement(one),meet(X_530,converse(sk1))) ),
inference(resolve,[$cnf( $equal(zero,meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) )],[refute_0_4151,refute_0_4158]) ).
cnf(refute_0_4160,plain,
zero = meet(complement(one),meet(X_530,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(top),meet(complement(join(one,complement(meet(X_530,converse(sk1))))),join(one,complement(join(complement(meet(X_530,converse(sk1))),one))))) )],[refute_0_4149,refute_0_4159]) ).
cnf(refute_0_4161,plain,
( zero != meet(complement(one),meet(X_530,converse(sk1)))
| meet(complement(one),meet(X_530,converse(sk1))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),meet(X_530,converse(sk1)))))]]) ).
cnf(refute_0_4162,plain,
meet(complement(one),meet(X_530,converse(sk1))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),meet(X_530,converse(sk1)))) )],[refute_0_4160,refute_0_4161]) ).
cnf(refute_0_4163,plain,
meet(complement(one),meet(X_275,converse(sk1))) = zero,
inference(subst,[],[refute_0_4162:[bind(X_530,$fot(X_275))]]) ).
cnf(refute_0_4164,plain,
join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),
introduced(tautology,[refl,[$fot(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))))]]) ).
cnf(refute_0_4165,plain,
( join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) != join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))
| meet(complement(one),meet(X_275,converse(sk1))) != zero
| join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = join(meet(converse(sk1),X_275),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4166,plain,
( meet(complement(one),meet(X_275,converse(sk1))) != zero
| join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = join(meet(converse(sk1),X_275),zero) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))) )],[refute_0_4164,refute_0_4165]) ).
cnf(refute_0_4167,plain,
join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = join(meet(converse(sk1),X_275),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(X_275,converse(sk1))),zero) )],[refute_0_4163,refute_0_4166]) ).
cnf(refute_0_4168,plain,
( join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) != join(meet(converse(sk1),X_275),zero)
| join(meet(converse(sk1),X_275),zero) != meet(converse(sk1),X_275)
| join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = meet(converse(sk1),X_275) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))))),bind(Y,$fot(join(meet(converse(sk1),X_275),zero))),bind(Z,$fot(meet(converse(sk1),X_275)))]]) ).
cnf(refute_0_4169,plain,
( join(meet(converse(sk1),X_275),zero) != meet(converse(sk1),X_275)
| join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = meet(converse(sk1),X_275) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),join(meet(converse(sk1),X_275),zero)) )],[refute_0_4167,refute_0_4168]) ).
cnf(refute_0_4170,plain,
join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) = meet(converse(sk1),X_275),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),X_275),zero),meet(converse(sk1),X_275)) )],[refute_0_4124,refute_0_4169]) ).
cnf(refute_0_4171,plain,
( join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))) != meet(converse(sk1),X_275)
| meet(X_275,converse(sk1)) != join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))
| meet(X_275,converse(sk1)) = meet(converse(sk1),X_275) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_275,converse(sk1)),join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))) ),[1],$fot(meet(converse(sk1),X_275))]]) ).
cnf(refute_0_4172,plain,
( meet(X_275,converse(sk1)) != join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))
| meet(X_275,converse(sk1)) = meet(converse(sk1),X_275) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1)))),meet(converse(sk1),X_275)) )],[refute_0_4170,refute_0_4171]) ).
cnf(refute_0_4173,plain,
meet(X_275,converse(sk1)) = meet(converse(sk1),X_275),
inference(resolve,[$cnf( $equal(meet(X_275,converse(sk1)),join(meet(converse(sk1),X_275),meet(complement(one),meet(X_275,converse(sk1))))) )],[refute_0_4119,refute_0_4172]) ).
cnf(refute_0_4174,plain,
meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = meet(converse(sk1),complement(converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_4173:[bind(X_275,$fot(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_4175,plain,
( meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) != meet(converse(sk1),complement(converse(join(sk1,complement(one)))))
| meet(converse(sk1),complement(converse(join(sk1,complement(one))))) != meet(converse(sk1),converse(meet(one,complement(sk1))))
| meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = meet(converse(sk1),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(converse(join(sk1,complement(one)))),converse(sk1)))),bind(Y,$fot(meet(converse(sk1),complement(converse(join(sk1,complement(one))))))),bind(Z,$fot(meet(converse(sk1),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4176,plain,
( meet(converse(sk1),complement(converse(join(sk1,complement(one))))) != meet(converse(sk1),converse(meet(one,complement(sk1))))
| meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = meet(converse(sk1),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),converse(sk1)),meet(converse(sk1),complement(converse(join(sk1,complement(one)))))) )],[refute_0_4174,refute_0_4175]) ).
cnf(refute_0_4177,plain,
meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) = meet(converse(sk1),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(join(sk1,complement(one))))),meet(converse(sk1),converse(meet(one,complement(sk1))))) )],[refute_0_4052,refute_0_4176]) ).
cnf(refute_0_4178,plain,
( meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) != meet(converse(sk1),converse(meet(one,complement(sk1))))
| meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) != zero
| meet(converse(sk1),converse(meet(one,complement(sk1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),converse(sk1)),zero) ),[0],$fot(meet(converse(sk1),converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4179,plain,
( meet(complement(converse(join(sk1,complement(one)))),converse(sk1)) != zero
| meet(converse(sk1),converse(meet(one,complement(sk1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),converse(sk1)),meet(converse(sk1),converse(meet(one,complement(sk1))))) )],[refute_0_4177,refute_0_4178]) ).
cnf(refute_0_4180,plain,
meet(converse(sk1),converse(meet(one,complement(sk1)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),converse(sk1)),zero) )],[refute_0_4031,refute_0_4179]) ).
cnf(refute_0_4181,plain,
( converse(sk1) != join(meet(converse(sk1),converse(meet(one,complement(sk1)))),meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))
| meet(converse(sk1),converse(meet(one,complement(sk1)))) != zero
| converse(sk1) = join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(meet(one,complement(sk1)))),meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4182,plain,
( converse(sk1) != join(meet(converse(sk1),converse(meet(one,complement(sk1)))),meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))
| converse(sk1) = join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(meet(one,complement(sk1)))),zero) )],[refute_0_4180,refute_0_4181]) ).
cnf(refute_0_4183,plain,
converse(sk1) = join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(meet(one,complement(sk1)))),meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3954,refute_0_4182]) ).
cnf(refute_0_4184,plain,
join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) = meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4185,plain,
( converse(sk1) != join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))
| join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) != meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| converse(sk1) = meet(converse(sk1),complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) ),[0],$fot(join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4186,plain,
( converse(sk1) != join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))
| converse(sk1) = meet(converse(sk1),complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))),meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_4184,refute_0_4185]) ).
cnf(refute_0_4187,plain,
converse(sk1) = meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(sk1),join(zero,meet(converse(sk1),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_4183,refute_0_4186]) ).
cnf(refute_0_4188,plain,
( converse(sk1) != meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| meet(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4189,plain,
meet(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_4187,refute_0_4188]) ).
cnf(refute_0_4190,plain,
( complement(converse(meet(one,complement(sk1)))) != join(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))
| meet(converse(sk1),complement(converse(meet(one,complement(sk1))))) != converse(sk1)
| complement(converse(meet(one,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_4191,plain,
( complement(converse(meet(one,complement(sk1)))) != join(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))
| complement(converse(meet(one,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),converse(sk1)) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
complement(converse(meet(one,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(meet(converse(sk1),complement(converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3953,refute_0_4191]) ).
cnf(refute_0_4193,plain,
join(A,join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))) = join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),
inference(subst,[],[refute_0_379:[bind(X_49,$fot(converse(sk1))),bind(X_50,$fot(meet(converse(sk1),complement(composition(top,sk1)))))]]) ).
cnf(refute_0_4194,plain,
converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,top))))),
inference(subst,[],[refute_0_1639:[bind(X_8,$fot(sk1))]]) ).
cnf(refute_0_4195,plain,
complement(composition(top,sk1)) = join(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(converse(composition(sk1,top)))),bind(X_87,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_4196,plain,
meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = complement(join(composition(top,sk1),complement(converse(composition(sk1,top))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(converse(composition(sk1,top)))),bind(X_31,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4197,plain,
top = converse(join(converse(composition(top,sk1)),complement(composition(sk1,converse(composition(top,sk1)))))),
inference(subst,[],[refute_0_2900:[bind(X_476,$fot(converse(composition(top,sk1))))]]) ).
cnf(refute_0_4198,plain,
converse(composition(converse(composition(converse(A),top)),converse(A))) = composition(A,converse(converse(composition(converse(A),top)))),
inference(subst,[],[refute_0_1630:[bind(X_8,$fot(converse(composition(converse(A),top))))]]) ).
cnf(refute_0_4199,plain,
composition(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),X_162) = composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),
inference(subst,[],[refute_0_1564:[bind(X_151,$fot(converse(complement(converse(converse(complement(composition(X_162,top)))))))),bind(X_152,$fot(X_162))]]) ).
cnf(refute_0_4200,plain,
top = join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),
inference(subst,[],[refute_0_603:[bind(X_12,$fot(converse(complement(composition(X_162,top)))))]]) ).
cnf(refute_0_4201,plain,
( top != join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top)))))))
| join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top)))))))))]]) ).
cnf(refute_0_4202,plain,
join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top)))))))) )],[refute_0_4200,refute_0_4201]) ).
cnf(refute_0_4203,plain,
( composition(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),X_162) != composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)
| join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))) != top
| composition(top,X_162) = composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4204,plain,
( composition(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),X_162) != composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)
| composition(top,X_162) = composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),top) )],[refute_0_4202,refute_0_4203]) ).
cnf(refute_0_4205,plain,
composition(top,X_162) = composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),converse(complement(converse(converse(complement(composition(X_162,top))))))),X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) )],[refute_0_4199,refute_0_4204]) ).
cnf(refute_0_4206,plain,
complement(complement(composition(X_162,top))) = composition(X_162,top),
inference(subst,[],[refute_0_710:[bind(B,$fot(composition(X_162,top)))]]) ).
cnf(refute_0_4207,plain,
converse(converse(complement(composition(X_162,top)))) = complement(composition(X_162,top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(composition(X_162,top))))]]) ).
cnf(refute_0_4208,plain,
complement(converse(converse(complement(composition(X_162,top))))) = complement(converse(converse(complement(composition(X_162,top))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(composition(X_162,top))))))]]) ).
cnf(refute_0_4209,plain,
( complement(converse(converse(complement(composition(X_162,top))))) != complement(converse(converse(complement(composition(X_162,top)))))
| converse(converse(complement(composition(X_162,top)))) != complement(composition(X_162,top))
| complement(converse(converse(complement(composition(X_162,top))))) = complement(complement(composition(X_162,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(composition(X_162,top))))),complement(converse(converse(complement(composition(X_162,top)))))) ),[1,0],$fot(complement(composition(X_162,top)))]]) ).
cnf(refute_0_4210,plain,
( converse(converse(complement(composition(X_162,top)))) != complement(composition(X_162,top))
| complement(converse(converse(complement(composition(X_162,top))))) = complement(complement(composition(X_162,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_162,top))))),complement(converse(converse(complement(composition(X_162,top)))))) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
complement(converse(converse(complement(composition(X_162,top))))) = complement(complement(composition(X_162,top))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X_162,top)))),complement(composition(X_162,top))) )],[refute_0_4207,refute_0_4210]) ).
cnf(refute_0_4212,plain,
( complement(complement(composition(X_162,top))) != composition(X_162,top)
| complement(converse(converse(complement(composition(X_162,top))))) != complement(complement(composition(X_162,top)))
| complement(converse(converse(complement(composition(X_162,top))))) = composition(X_162,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(converse(complement(composition(X_162,top))))))),bind(Y,$fot(complement(complement(composition(X_162,top))))),bind(Z,$fot(composition(X_162,top)))]]) ).
cnf(refute_0_4213,plain,
( complement(complement(composition(X_162,top))) != composition(X_162,top)
| complement(converse(converse(complement(composition(X_162,top))))) = composition(X_162,top) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_162,top))))),complement(complement(composition(X_162,top)))) )],[refute_0_4211,refute_0_4212]) ).
cnf(refute_0_4214,plain,
complement(converse(converse(complement(composition(X_162,top))))) = composition(X_162,top),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_162,top))),composition(X_162,top)) )],[refute_0_4206,refute_0_4213]) ).
cnf(refute_0_4215,plain,
converse(complement(converse(converse(complement(composition(X_162,top)))))) = converse(complement(converse(converse(complement(composition(X_162,top)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(composition(X_162,top)))))))]]) ).
cnf(refute_0_4216,plain,
( complement(converse(converse(complement(composition(X_162,top))))) != composition(X_162,top)
| converse(complement(converse(converse(complement(composition(X_162,top)))))) != converse(complement(converse(converse(complement(composition(X_162,top))))))
| converse(complement(converse(converse(complement(composition(X_162,top)))))) = converse(composition(X_162,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_162,top)))))),converse(complement(converse(converse(complement(composition(X_162,top))))))) ),[1,0],$fot(composition(X_162,top))]]) ).
cnf(refute_0_4217,plain,
( complement(converse(converse(complement(composition(X_162,top))))) != composition(X_162,top)
| converse(complement(converse(converse(complement(composition(X_162,top)))))) = converse(composition(X_162,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_162,top)))))),converse(complement(converse(converse(complement(composition(X_162,top))))))) )],[refute_0_4215,refute_0_4216]) ).
cnf(refute_0_4218,plain,
converse(complement(converse(converse(complement(composition(X_162,top)))))) = converse(composition(X_162,top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_162,top))))),composition(X_162,top)) )],[refute_0_4214,refute_0_4217]) ).
cnf(refute_0_4219,plain,
composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) = composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162))]]) ).
cnf(refute_0_4220,plain,
( composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) != composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)
| converse(complement(converse(converse(complement(composition(X_162,top)))))) != converse(composition(X_162,top))
| composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) = composition(converse(composition(X_162,top)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) ),[1,0],$fot(converse(composition(X_162,top)))]]) ).
cnf(refute_0_4221,plain,
( converse(complement(converse(converse(complement(composition(X_162,top)))))) != converse(composition(X_162,top))
| composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) = composition(converse(composition(X_162,top)),X_162) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) )],[refute_0_4219,refute_0_4220]) ).
cnf(refute_0_4222,plain,
composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) = composition(converse(composition(X_162,top)),X_162),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_162,top)))))),converse(composition(X_162,top))) )],[refute_0_4218,refute_0_4221]) ).
cnf(refute_0_4223,plain,
( composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162) != composition(converse(composition(X_162,top)),X_162)
| composition(top,X_162) != composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)
| composition(top,X_162) = composition(converse(composition(X_162,top)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) ),[1],$fot(composition(converse(composition(X_162,top)),X_162))]]) ).
cnf(refute_0_4224,plain,
( composition(top,X_162) != composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)
| composition(top,X_162) = composition(converse(composition(X_162,top)),X_162) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162),composition(converse(composition(X_162,top)),X_162)) )],[refute_0_4222,refute_0_4223]) ).
cnf(refute_0_4225,plain,
composition(top,X_162) = composition(converse(composition(X_162,top)),X_162),
inference(resolve,[$cnf( $equal(composition(top,X_162),composition(converse(complement(converse(converse(complement(composition(X_162,top)))))),X_162)) )],[refute_0_4205,refute_0_4224]) ).
cnf(refute_0_4226,plain,
composition(top,converse(A)) = composition(converse(composition(converse(A),top)),converse(A)),
inference(subst,[],[refute_0_4225:[bind(X_162,$fot(converse(A)))]]) ).
cnf(refute_0_4227,plain,
( composition(top,converse(A)) != composition(converse(composition(converse(A),top)),converse(A))
| composition(converse(composition(converse(A),top)),converse(A)) = composition(top,converse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,converse(A)))),bind(Y,$fot(composition(converse(composition(converse(A),top)),converse(A))))]]) ).
cnf(refute_0_4228,plain,
composition(converse(composition(converse(A),top)),converse(A)) = composition(top,converse(A)),
inference(resolve,[$cnf( $equal(composition(top,converse(A)),composition(converse(composition(converse(A),top)),converse(A))) )],[refute_0_4226,refute_0_4227]) ).
cnf(refute_0_4229,plain,
( composition(converse(composition(converse(A),top)),converse(A)) != composition(top,converse(A))
| converse(composition(converse(composition(converse(A),top)),converse(A))) != composition(A,converse(converse(composition(converse(A),top))))
| converse(composition(top,converse(A))) = composition(A,converse(converse(composition(converse(A),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(A),top)),converse(A))),composition(A,converse(converse(composition(converse(A),top))))) ),[0,0],$fot(composition(top,converse(A)))]]) ).
cnf(refute_0_4230,plain,
( converse(composition(converse(composition(converse(A),top)),converse(A))) != composition(A,converse(converse(composition(converse(A),top))))
| converse(composition(top,converse(A))) = composition(A,converse(converse(composition(converse(A),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(A),top)),converse(A)),composition(top,converse(A))) )],[refute_0_4228,refute_0_4229]) ).
cnf(refute_0_4231,plain,
converse(composition(top,converse(A))) = composition(A,converse(converse(composition(converse(A),top)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(A),top)),converse(A))),composition(A,converse(converse(composition(converse(A),top))))) )],[refute_0_4198,refute_0_4230]) ).
cnf(refute_0_4232,plain,
composition(A,converse(top)) = composition(A,converse(top)),
introduced(tautology,[refl,[$fot(composition(A,converse(top)))]]) ).
cnf(refute_0_4233,plain,
( composition(A,converse(top)) != composition(A,converse(top))
| converse(top) != top
| composition(A,converse(top)) = composition(A,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,converse(top)),composition(A,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4234,plain,
( converse(top) != top
| composition(A,converse(top)) = composition(A,top) ),
inference(resolve,[$cnf( $equal(composition(A,converse(top)),composition(A,converse(top))) )],[refute_0_4232,refute_0_4233]) ).
cnf(refute_0_4235,plain,
composition(A,converse(top)) = composition(A,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_4234]) ).
cnf(refute_0_4236,plain,
converse(composition(top,converse(A))) = composition(A,converse(top)),
inference(subst,[],[refute_0_1630:[bind(X_8,$fot(top))]]) ).
cnf(refute_0_4237,plain,
( composition(A,converse(top)) != composition(A,top)
| converse(composition(top,converse(A))) != composition(A,converse(top))
| converse(composition(top,converse(A))) = composition(A,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(top,converse(A))))),bind(Y,$fot(composition(A,converse(top)))),bind(Z,$fot(composition(A,top)))]]) ).
cnf(refute_0_4238,plain,
( composition(A,converse(top)) != composition(A,top)
| converse(composition(top,converse(A))) = composition(A,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,converse(top))) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
converse(composition(top,converse(A))) = composition(A,top),
inference(resolve,[$cnf( $equal(composition(A,converse(top)),composition(A,top)) )],[refute_0_4235,refute_0_4238]) ).
cnf(refute_0_4240,plain,
( converse(composition(top,converse(A))) != composition(A,converse(converse(composition(converse(A),top))))
| converse(composition(top,converse(A))) != composition(A,top)
| composition(A,top) = composition(A,converse(converse(composition(converse(A),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,converse(converse(composition(converse(A),top))))) ),[0],$fot(composition(A,top))]]) ).
cnf(refute_0_4241,plain,
( converse(composition(top,converse(A))) != composition(A,converse(converse(composition(converse(A),top))))
| composition(A,top) = composition(A,converse(converse(composition(converse(A),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,top)) )],[refute_0_4239,refute_0_4240]) ).
cnf(refute_0_4242,plain,
composition(converse(A),top) = converse(composition(top,A)),
inference(subst,[],[refute_0_2074:[bind(X_9,$fot(A))]]) ).
cnf(refute_0_4243,plain,
converse(converse(composition(converse(A),top))) = composition(converse(A),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(converse(A),top)))]]) ).
cnf(refute_0_4244,plain,
( composition(converse(A),top) != converse(composition(top,A))
| converse(converse(composition(converse(A),top))) != composition(converse(A),top)
| converse(converse(composition(converse(A),top))) = converse(composition(top,A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(converse(composition(converse(A),top))))),bind(Y,$fot(composition(converse(A),top))),bind(Z,$fot(converse(composition(top,A))))]]) ).
cnf(refute_0_4245,plain,
( composition(converse(A),top) != converse(composition(top,A))
| converse(converse(composition(converse(A),top))) = converse(composition(top,A)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(converse(A),top))),composition(converse(A),top)) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
converse(converse(composition(converse(A),top))) = converse(composition(top,A)),
inference(resolve,[$cnf( $equal(composition(converse(A),top),converse(composition(top,A))) )],[refute_0_4242,refute_0_4245]) ).
cnf(refute_0_4247,plain,
composition(A,converse(converse(composition(converse(A),top)))) = composition(A,converse(converse(composition(converse(A),top)))),
introduced(tautology,[refl,[$fot(composition(A,converse(converse(composition(converse(A),top)))))]]) ).
cnf(refute_0_4248,plain,
( composition(A,converse(converse(composition(converse(A),top)))) != composition(A,converse(converse(composition(converse(A),top))))
| converse(converse(composition(converse(A),top))) != converse(composition(top,A))
| composition(A,converse(converse(composition(converse(A),top)))) = composition(A,converse(composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,converse(converse(composition(converse(A),top)))),composition(A,converse(converse(composition(converse(A),top))))) ),[1,1],$fot(converse(composition(top,A)))]]) ).
cnf(refute_0_4249,plain,
( converse(converse(composition(converse(A),top))) != converse(composition(top,A))
| composition(A,converse(converse(composition(converse(A),top)))) = composition(A,converse(composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(A,converse(converse(composition(converse(A),top)))),composition(A,converse(converse(composition(converse(A),top))))) )],[refute_0_4247,refute_0_4248]) ).
cnf(refute_0_4250,plain,
composition(A,converse(converse(composition(converse(A),top)))) = composition(A,converse(composition(top,A))),
inference(resolve,[$cnf( $equal(converse(converse(composition(converse(A),top))),converse(composition(top,A))) )],[refute_0_4246,refute_0_4249]) ).
cnf(refute_0_4251,plain,
( composition(A,converse(converse(composition(converse(A),top)))) != composition(A,converse(composition(top,A)))
| composition(A,top) != composition(A,converse(converse(composition(converse(A),top))))
| composition(A,top) = composition(A,converse(composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,top),composition(A,converse(converse(composition(converse(A),top))))) ),[1],$fot(composition(A,converse(composition(top,A))))]]) ).
cnf(refute_0_4252,plain,
( composition(A,top) != composition(A,converse(converse(composition(converse(A),top))))
| composition(A,top) = composition(A,converse(composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(A,converse(converse(composition(converse(A),top)))),composition(A,converse(composition(top,A)))) )],[refute_0_4250,refute_0_4251]) ).
cnf(refute_0_4253,plain,
( converse(composition(top,converse(A))) != composition(A,converse(converse(composition(converse(A),top))))
| composition(A,top) = composition(A,converse(composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(A,top),composition(A,converse(converse(composition(converse(A),top))))) )],[refute_0_4241,refute_0_4252]) ).
cnf(refute_0_4254,plain,
composition(A,top) = composition(A,converse(composition(top,A))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,converse(converse(composition(converse(A),top))))) )],[refute_0_4231,refute_0_4253]) ).
cnf(refute_0_4255,plain,
composition(sk1,top) = composition(sk1,converse(composition(top,sk1))),
inference(subst,[],[refute_0_4254:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_4256,plain,
( composition(sk1,top) != composition(sk1,converse(composition(top,sk1)))
| composition(sk1,converse(composition(top,sk1))) = composition(sk1,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(sk1,top))),bind(Y,$fot(composition(sk1,converse(composition(top,sk1)))))]]) ).
cnf(refute_0_4257,plain,
composition(sk1,converse(composition(top,sk1))) = composition(sk1,top),
inference(resolve,[$cnf( $equal(composition(sk1,top),composition(sk1,converse(composition(top,sk1)))) )],[refute_0_4255,refute_0_4256]) ).
cnf(refute_0_4258,plain,
( composition(sk1,converse(composition(top,sk1))) != composition(sk1,top)
| top != converse(join(converse(composition(top,sk1)),complement(composition(sk1,converse(composition(top,sk1))))))
| top = converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(converse(composition(top,sk1)),complement(composition(sk1,converse(composition(top,sk1))))))) ),[1,0,1,0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_4259,plain,
( top != converse(join(converse(composition(top,sk1)),complement(composition(sk1,converse(composition(top,sk1))))))
| top = converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(composition(sk1,converse(composition(top,sk1))),composition(sk1,top)) )],[refute_0_4257,refute_0_4258]) ).
cnf(refute_0_4260,plain,
top = converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(top,converse(join(converse(composition(top,sk1)),complement(composition(sk1,converse(composition(top,sk1))))))) )],[refute_0_4197,refute_0_4259]) ).
cnf(refute_0_4261,plain,
converse(complement(composition(sk1,top))) = complement(converse(composition(sk1,top))),
inference(subst,[],[refute_0_901:[bind(A,$fot(composition(sk1,top)))]]) ).
cnf(refute_0_4262,plain,
join(composition(top,sk1),converse(complement(composition(sk1,top)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))),
introduced(tautology,[refl,[$fot(join(composition(top,sk1),converse(complement(composition(sk1,top)))))]]) ).
cnf(refute_0_4263,plain,
( converse(complement(composition(sk1,top))) != complement(converse(composition(sk1,top)))
| join(composition(top,sk1),converse(complement(composition(sk1,top)))) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| join(composition(top,sk1),converse(complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,sk1),converse(complement(composition(sk1,top)))),join(composition(top,sk1),converse(complement(composition(sk1,top))))) ),[1,1],$fot(complement(converse(composition(sk1,top))))]]) ).
cnf(refute_0_4264,plain,
( converse(complement(composition(sk1,top))) != complement(converse(composition(sk1,top)))
| join(composition(top,sk1),converse(complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),converse(complement(composition(sk1,top)))),join(composition(top,sk1),converse(complement(composition(sk1,top))))) )],[refute_0_4262,refute_0_4263]) ).
cnf(refute_0_4265,plain,
join(composition(top,sk1),converse(complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(sk1,top))),complement(converse(composition(sk1,top)))) )],[refute_0_4261,refute_0_4264]) ).
cnf(refute_0_4266,plain,
join(converse(complement(composition(sk1,top))),composition(top,sk1)) = join(composition(top,sk1),converse(complement(composition(sk1,top)))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(composition(top,sk1))),bind(X_49,$fot(converse(complement(composition(sk1,top)))))]]) ).
cnf(refute_0_4267,plain,
converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) = join(converse(complement(composition(sk1,top))),composition(top,sk1)),
inference(subst,[],[refute_0_345:[bind(A,$fot(composition(top,sk1))),bind(X_4,$fot(complement(composition(sk1,top))))]]) ).
cnf(refute_0_4268,plain,
( converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) != join(converse(complement(composition(sk1,top))),composition(top,sk1))
| join(converse(complement(composition(sk1,top))),composition(top,sk1)) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))))),bind(Y,$fot(join(converse(complement(composition(sk1,top))),composition(top,sk1)))),bind(Z,$fot(join(composition(top,sk1),converse(complement(composition(sk1,top))))))]]) ).
cnf(refute_0_4269,plain,
( join(converse(complement(composition(sk1,top))),composition(top,sk1)) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))),join(converse(complement(composition(sk1,top))),composition(top,sk1))) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(sk1,top))),composition(top,sk1)),join(composition(top,sk1),converse(complement(composition(sk1,top))))) )],[refute_0_4266,refute_0_4269]) ).
cnf(refute_0_4271,plain,
converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))),
inference(subst,[],[refute_0_293:[bind(A,$fot(converse(composition(top,sk1)))),bind(B,$fot(complement(composition(sk1,top))))]]) ).
cnf(refute_0_4272,plain,
( converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) != converse(join(complement(composition(sk1,top)),converse(composition(top,sk1))))
| converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))))),bind(Y,$fot(converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))))),bind(Z,$fot(join(composition(top,sk1),converse(complement(composition(sk1,top))))))]]) ).
cnf(refute_0_4273,plain,
( converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))),converse(join(complement(composition(sk1,top)),converse(composition(top,sk1))))) )],[refute_0_4271,refute_0_4272]) ).
cnf(refute_0_4274,plain,
converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),converse(complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(sk1,top)),converse(composition(top,sk1)))),join(composition(top,sk1),converse(complement(composition(sk1,top))))) )],[refute_0_4270,refute_0_4273]) ).
cnf(refute_0_4275,plain,
( converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) != join(composition(top,sk1),converse(complement(composition(sk1,top))))
| join(composition(top,sk1),converse(complement(composition(sk1,top)))) != join(composition(top,sk1),complement(converse(composition(sk1,top))))
| converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))))),bind(Y,$fot(join(composition(top,sk1),converse(complement(composition(sk1,top)))))),bind(Z,$fot(join(composition(top,sk1),complement(converse(composition(sk1,top))))))]]) ).
cnf(refute_0_4276,plain,
( join(composition(top,sk1),converse(complement(composition(sk1,top)))) != join(composition(top,sk1),complement(converse(composition(sk1,top))))
| converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))),join(composition(top,sk1),converse(complement(composition(sk1,top))))) )],[refute_0_4274,refute_0_4275]) ).
cnf(refute_0_4277,plain,
converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) = join(composition(top,sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),converse(complement(composition(sk1,top)))),join(composition(top,sk1),complement(converse(composition(sk1,top))))) )],[refute_0_4265,refute_0_4276]) ).
cnf(refute_0_4278,plain,
( converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))) != join(composition(top,sk1),complement(converse(composition(sk1,top))))
| top != converse(join(converse(composition(top,sk1)),complement(composition(sk1,top))))
| top = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(converse(composition(top,sk1)),complement(composition(sk1,top))))) ),[1],$fot(join(composition(top,sk1),complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_4279,plain,
( top != converse(join(converse(composition(top,sk1)),complement(composition(sk1,top))))
| top = join(composition(top,sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,sk1)),complement(composition(sk1,top)))),join(composition(top,sk1),complement(converse(composition(sk1,top))))) )],[refute_0_4277,refute_0_4278]) ).
cnf(refute_0_4280,plain,
top = join(composition(top,sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(top,converse(join(converse(composition(top,sk1)),complement(composition(sk1,top))))) )],[refute_0_4260,refute_0_4279]) ).
cnf(refute_0_4281,plain,
( top != join(composition(top,sk1),complement(converse(composition(sk1,top))))
| join(composition(top,sk1),complement(converse(composition(sk1,top)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(composition(top,sk1),complement(converse(composition(sk1,top))))))]]) ).
cnf(refute_0_4282,plain,
join(composition(top,sk1),complement(converse(composition(sk1,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(top,sk1),complement(converse(composition(sk1,top))))) )],[refute_0_4280,refute_0_4281]) ).
cnf(refute_0_4283,plain,
( join(composition(top,sk1),complement(converse(composition(sk1,top)))) != top
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) != complement(join(composition(top,sk1),complement(converse(composition(sk1,top)))))
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),complement(join(composition(top,sk1),complement(converse(composition(sk1,top)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4284,plain,
( meet(complement(composition(top,sk1)),converse(composition(sk1,top))) != complement(join(composition(top,sk1),complement(converse(composition(sk1,top)))))
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),complement(converse(composition(sk1,top)))),top) )],[refute_0_4282,refute_0_4283]) ).
cnf(refute_0_4285,plain,
meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),complement(join(composition(top,sk1),complement(converse(composition(sk1,top)))))) )],[refute_0_4196,refute_0_4284]) ).
cnf(refute_0_4286,plain,
( complement(top) != zero
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) != complement(top)
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4287,plain,
( meet(complement(composition(top,sk1)),converse(composition(sk1,top))) != complement(top)
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4286]) ).
cnf(refute_0_4288,plain,
meet(complement(composition(top,sk1)),converse(composition(sk1,top))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),complement(top)) )],[refute_0_4285,refute_0_4287]) ).
cnf(refute_0_4289,plain,
( complement(composition(top,sk1)) != join(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))
| meet(complement(composition(top,sk1)),converse(composition(sk1,top))) != zero
| complement(composition(top,sk1)) = join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,sk1)),join(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4290,plain,
( complement(composition(top,sk1)) != join(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))
| complement(composition(top,sk1)) = join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),zero) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
complement(composition(top,sk1)) = join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,sk1)),join(meet(complement(composition(top,sk1)),converse(composition(sk1,top))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))) )],[refute_0_4195,refute_0_4290]) ).
cnf(refute_0_4292,plain,
converse(composition(join(sk1,converse(sk1)),top)) = composition(converse(top),converse(join(sk1,converse(sk1)))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(join(sk1,converse(sk1)))),bind(B,$fot(top))]]) ).
cnf(refute_0_4293,plain,
composition(join(converse(B),one),composition(B,top)) = join(composition(B,top),composition(converse(B),composition(B,top))),
inference(subst,[],[refute_0_1418:[bind(X_150,$fot(converse(B))),bind(X_152,$fot(composition(B,top)))]]) ).
cnf(refute_0_4294,plain,
converse(composition(converse(composition(B,top)),B)) = composition(converse(B),converse(converse(composition(B,top)))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(composition(B,top))))]]) ).
cnf(refute_0_4295,plain,
composition(top,B) = composition(converse(composition(B,top)),B),
inference(subst,[],[refute_0_4225:[bind(X_162,$fot(B))]]) ).
cnf(refute_0_4296,plain,
( composition(top,B) != composition(converse(composition(B,top)),B)
| composition(converse(composition(B,top)),B) = composition(top,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,B))),bind(Y,$fot(composition(converse(composition(B,top)),B)))]]) ).
cnf(refute_0_4297,plain,
composition(converse(composition(B,top)),B) = composition(top,B),
inference(resolve,[$cnf( $equal(composition(top,B),composition(converse(composition(B,top)),B)) )],[refute_0_4295,refute_0_4296]) ).
cnf(refute_0_4298,plain,
( composition(converse(composition(B,top)),B) != composition(top,B)
| converse(composition(converse(composition(B,top)),B)) != composition(converse(B),converse(converse(composition(B,top))))
| converse(composition(top,B)) = composition(converse(B),converse(converse(composition(B,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(B,top)),B)),composition(converse(B),converse(converse(composition(B,top))))) ),[0,0],$fot(composition(top,B))]]) ).
cnf(refute_0_4299,plain,
( converse(composition(converse(composition(B,top)),B)) != composition(converse(B),converse(converse(composition(B,top))))
| converse(composition(top,B)) = composition(converse(B),converse(converse(composition(B,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(B,top)),B),composition(top,B)) )],[refute_0_4297,refute_0_4298]) ).
cnf(refute_0_4300,plain,
converse(composition(top,B)) = composition(converse(B),converse(converse(composition(B,top)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(B,top)),B)),composition(converse(B),converse(converse(composition(B,top))))) )],[refute_0_4294,refute_0_4299]) ).
cnf(refute_0_4301,plain,
converse(composition(converse(composition(B,top)),B)) = composition(converse(B),composition(B,top)),
inference(subst,[],[refute_0_88:[bind(A,$fot(composition(B,top))),bind(X_9,$fot(B))]]) ).
cnf(refute_0_4302,plain,
composition(converse(B),converse(converse(composition(B,top)))) = converse(composition(converse(composition(B,top)),B)),
inference(subst,[],[refute_0_1249:[bind(A,$fot(converse(composition(B,top))))]]) ).
cnf(refute_0_4303,plain,
( composition(converse(B),converse(converse(composition(B,top)))) != converse(composition(converse(composition(B,top)),B))
| converse(composition(converse(composition(B,top)),B)) != composition(converse(B),composition(B,top))
| composition(converse(B),converse(converse(composition(B,top)))) = composition(converse(B),composition(B,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(B),converse(converse(composition(B,top)))))),bind(Y,$fot(converse(composition(converse(composition(B,top)),B)))),bind(Z,$fot(composition(converse(B),composition(B,top))))]]) ).
cnf(refute_0_4304,plain,
( converse(composition(converse(composition(B,top)),B)) != composition(converse(B),composition(B,top))
| composition(converse(B),converse(converse(composition(B,top)))) = composition(converse(B),composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(converse(composition(B,top)))),converse(composition(converse(composition(B,top)),B))) )],[refute_0_4302,refute_0_4303]) ).
cnf(refute_0_4305,plain,
composition(converse(B),converse(converse(composition(B,top)))) = composition(converse(B),composition(B,top)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(B,top)),B)),composition(converse(B),composition(B,top))) )],[refute_0_4301,refute_0_4304]) ).
cnf(refute_0_4306,plain,
( composition(converse(B),converse(converse(composition(B,top)))) != composition(converse(B),composition(B,top))
| converse(composition(top,B)) != composition(converse(B),converse(converse(composition(B,top))))
| converse(composition(top,B)) = composition(converse(B),composition(B,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,B)),composition(converse(B),converse(converse(composition(B,top))))) ),[1],$fot(composition(converse(B),composition(B,top)))]]) ).
cnf(refute_0_4307,plain,
( converse(composition(top,B)) != composition(converse(B),converse(converse(composition(B,top))))
| converse(composition(top,B)) = composition(converse(B),composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(converse(composition(B,top)))),composition(converse(B),composition(B,top))) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
converse(composition(top,B)) = composition(converse(B),composition(B,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,B)),composition(converse(B),converse(converse(composition(B,top))))) )],[refute_0_4300,refute_0_4307]) ).
cnf(refute_0_4309,plain,
( converse(composition(top,B)) != composition(converse(B),composition(B,top))
| composition(converse(B),composition(B,top)) = converse(composition(top,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,B)))),bind(Y,$fot(composition(converse(B),composition(B,top))))]]) ).
cnf(refute_0_4310,plain,
composition(converse(B),composition(B,top)) = converse(composition(top,B)),
inference(resolve,[$cnf( $equal(converse(composition(top,B)),composition(converse(B),composition(B,top))) )],[refute_0_4308,refute_0_4309]) ).
cnf(refute_0_4311,plain,
( composition(converse(B),composition(B,top)) != converse(composition(top,B))
| composition(join(converse(B),one),composition(B,top)) != join(composition(B,top),composition(converse(B),composition(B,top)))
| composition(join(converse(B),one),composition(B,top)) = join(composition(B,top),converse(composition(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),join(composition(B,top),composition(converse(B),composition(B,top)))) ),[1,1],$fot(converse(composition(top,B)))]]) ).
cnf(refute_0_4312,plain,
( composition(join(converse(B),one),composition(B,top)) != join(composition(B,top),composition(converse(B),composition(B,top)))
| composition(join(converse(B),one),composition(B,top)) = join(composition(B,top),converse(composition(top,B))) ),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(B,top)),converse(composition(top,B))) )],[refute_0_4310,refute_0_4311]) ).
cnf(refute_0_4313,plain,
composition(join(converse(B),one),composition(B,top)) = join(composition(B,top),converse(composition(top,B))),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),join(composition(B,top),composition(converse(B),composition(B,top)))) )],[refute_0_4293,refute_0_4312]) ).
cnf(refute_0_4314,plain,
join(one,converse(B)) = converse(join(one,B)),
inference(subst,[],[refute_0_458:[bind(X_5,$fot(B))]]) ).
cnf(refute_0_4315,plain,
composition(join(one,converse(B)),composition(B,top)) = composition(join(one,converse(B)),composition(B,top)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(B)),composition(B,top)))]]) ).
cnf(refute_0_4316,plain,
( composition(join(one,converse(B)),composition(B,top)) != composition(join(one,converse(B)),composition(B,top))
| join(one,converse(B)) != converse(join(one,B))
| composition(join(one,converse(B)),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(B)),composition(B,top)),composition(join(one,converse(B)),composition(B,top))) ),[1,0],$fot(converse(join(one,B)))]]) ).
cnf(refute_0_4317,plain,
( join(one,converse(B)) != converse(join(one,B))
| composition(join(one,converse(B)),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(B)),composition(B,top)),composition(join(one,converse(B)),composition(B,top))) )],[refute_0_4315,refute_0_4316]) ).
cnf(refute_0_4318,plain,
composition(join(one,converse(B)),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)),
inference(resolve,[$cnf( $equal(join(one,converse(B)),converse(join(one,B))) )],[refute_0_4314,refute_0_4317]) ).
cnf(refute_0_4319,plain,
composition(join(X_299,one),X_300) = join(X_300,composition(X_299,X_300)),
inference(subst,[],[refute_0_1418:[bind(X_150,$fot(X_299)),bind(X_152,$fot(X_300))]]) ).
cnf(refute_0_4320,plain,
join(one,X_299) = join(X_299,one),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(one)),bind(B,$fot(X_299))]]) ).
cnf(refute_0_4321,plain,
( join(one,X_299) != join(X_299,one)
| join(X_299,one) = join(one,X_299) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,X_299))),bind(Y,$fot(join(X_299,one)))]]) ).
cnf(refute_0_4322,plain,
join(X_299,one) = join(one,X_299),
inference(resolve,[$cnf( $equal(join(one,X_299),join(X_299,one)) )],[refute_0_4320,refute_0_4321]) ).
cnf(refute_0_4323,plain,
( composition(join(X_299,one),X_300) != join(X_300,composition(X_299,X_300))
| join(X_299,one) != join(one,X_299)
| composition(join(one,X_299),X_300) = join(X_300,composition(X_299,X_300)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_299,one),X_300),join(X_300,composition(X_299,X_300))) ),[0,0],$fot(join(one,X_299))]]) ).
cnf(refute_0_4324,plain,
( composition(join(X_299,one),X_300) != join(X_300,composition(X_299,X_300))
| composition(join(one,X_299),X_300) = join(X_300,composition(X_299,X_300)) ),
inference(resolve,[$cnf( $equal(join(X_299,one),join(one,X_299)) )],[refute_0_4322,refute_0_4323]) ).
cnf(refute_0_4325,plain,
composition(join(one,X_299),X_300) = join(X_300,composition(X_299,X_300)),
inference(resolve,[$cnf( $equal(composition(join(X_299,one),X_300),join(X_300,composition(X_299,X_300))) )],[refute_0_4319,refute_0_4324]) ).
cnf(refute_0_4326,plain,
join(X_300,composition(X_299,X_300)) = composition(join(X_299,one),X_300),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(X_299)),bind(X_152,$fot(X_300))]]) ).
cnf(refute_0_4327,plain,
( composition(join(one,X_299),X_300) != join(X_300,composition(X_299,X_300))
| join(X_300,composition(X_299,X_300)) != composition(join(X_299,one),X_300)
| composition(join(one,X_299),X_300) = composition(join(X_299,one),X_300) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_299),X_300),composition(join(X_299,one),X_300)) ),[0],$fot(join(X_300,composition(X_299,X_300)))]]) ).
cnf(refute_0_4328,plain,
( composition(join(one,X_299),X_300) != join(X_300,composition(X_299,X_300))
| composition(join(one,X_299),X_300) = composition(join(X_299,one),X_300) ),
inference(resolve,[$cnf( $equal(join(X_300,composition(X_299,X_300)),composition(join(X_299,one),X_300)) )],[refute_0_4326,refute_0_4327]) ).
cnf(refute_0_4329,plain,
composition(join(one,X_299),X_300) = composition(join(X_299,one),X_300),
inference(resolve,[$cnf( $equal(composition(join(one,X_299),X_300),join(X_300,composition(X_299,X_300))) )],[refute_0_4325,refute_0_4328]) ).
cnf(refute_0_4330,plain,
( composition(join(one,X_299),X_300) != composition(join(X_299,one),X_300)
| composition(join(X_299,one),X_300) = composition(join(one,X_299),X_300) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_299),X_300))),bind(Y,$fot(composition(join(X_299,one),X_300)))]]) ).
cnf(refute_0_4331,plain,
composition(join(X_299,one),X_300) = composition(join(one,X_299),X_300),
inference(resolve,[$cnf( $equal(composition(join(one,X_299),X_300),composition(join(X_299,one),X_300)) )],[refute_0_4329,refute_0_4330]) ).
cnf(refute_0_4332,plain,
composition(join(converse(B),one),composition(B,top)) = composition(join(one,converse(B)),composition(B,top)),
inference(subst,[],[refute_0_4331:[bind(X_299,$fot(converse(B))),bind(X_300,$fot(composition(B,top)))]]) ).
cnf(refute_0_4333,plain,
( composition(join(converse(B),one),composition(B,top)) != composition(join(one,converse(B)),composition(B,top))
| composition(join(one,converse(B)),composition(B,top)) != composition(converse(join(one,B)),composition(B,top))
| composition(join(converse(B),one),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(converse(B),one),composition(B,top)))),bind(Y,$fot(composition(join(one,converse(B)),composition(B,top)))),bind(Z,$fot(composition(converse(join(one,B)),composition(B,top))))]]) ).
cnf(refute_0_4334,plain,
( composition(join(one,converse(B)),composition(B,top)) != composition(converse(join(one,B)),composition(B,top))
| composition(join(converse(B),one),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),composition(join(one,converse(B)),composition(B,top))) )],[refute_0_4332,refute_0_4333]) ).
cnf(refute_0_4335,plain,
composition(join(converse(B),one),composition(B,top)) = composition(converse(join(one,B)),composition(B,top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(B)),composition(B,top)),composition(converse(join(one,B)),composition(B,top))) )],[refute_0_4318,refute_0_4334]) ).
cnf(refute_0_4336,plain,
( composition(join(converse(B),one),composition(B,top)) != composition(converse(join(one,B)),composition(B,top))
| composition(join(converse(B),one),composition(B,top)) != join(composition(B,top),converse(composition(top,B)))
| composition(converse(join(one,B)),composition(B,top)) = join(composition(B,top),converse(composition(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),join(composition(B,top),converse(composition(top,B)))) ),[0],$fot(composition(converse(join(one,B)),composition(B,top)))]]) ).
cnf(refute_0_4337,plain,
( composition(join(converse(B),one),composition(B,top)) != join(composition(B,top),converse(composition(top,B)))
| composition(converse(join(one,B)),composition(B,top)) = join(composition(B,top),converse(composition(top,B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),composition(converse(join(one,B)),composition(B,top))) )],[refute_0_4335,refute_0_4336]) ).
cnf(refute_0_4338,plain,
composition(join(X_150,converse(X_9)),top) = join(composition(X_150,top),composition(converse(X_9),top)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_150)),bind(B,$fot(converse(X_9))),bind(C,$fot(top))]]) ).
cnf(refute_0_4339,plain,
( composition(converse(X_9),top) != converse(composition(top,X_9))
| composition(join(X_150,converse(X_9)),top) != join(composition(X_150,top),composition(converse(X_9),top))
| composition(join(X_150,converse(X_9)),top) = join(composition(X_150,top),converse(composition(top,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,converse(X_9)),top),join(composition(X_150,top),composition(converse(X_9),top))) ),[1,1],$fot(converse(composition(top,X_9)))]]) ).
cnf(refute_0_4340,plain,
( composition(join(X_150,converse(X_9)),top) != join(composition(X_150,top),composition(converse(X_9),top))
| composition(join(X_150,converse(X_9)),top) = join(composition(X_150,top),converse(composition(top,X_9))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_9),top),converse(composition(top,X_9))) )],[refute_0_2074,refute_0_4339]) ).
cnf(refute_0_4341,plain,
composition(join(X_150,converse(X_9)),top) = join(composition(X_150,top),converse(composition(top,X_9))),
inference(resolve,[$cnf( $equal(composition(join(X_150,converse(X_9)),top),join(composition(X_150,top),composition(converse(X_9),top))) )],[refute_0_4338,refute_0_4340]) ).
cnf(refute_0_4342,plain,
( composition(join(X_150,converse(X_9)),top) != join(composition(X_150,top),converse(composition(top,X_9)))
| join(composition(X_150,top),converse(composition(top,X_9))) = composition(join(X_150,converse(X_9)),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,converse(X_9)),top))),bind(Y,$fot(join(composition(X_150,top),converse(composition(top,X_9)))))]]) ).
cnf(refute_0_4343,plain,
join(composition(X_150,top),converse(composition(top,X_9))) = composition(join(X_150,converse(X_9)),top),
inference(resolve,[$cnf( $equal(composition(join(X_150,converse(X_9)),top),join(composition(X_150,top),converse(composition(top,X_9)))) )],[refute_0_4341,refute_0_4342]) ).
cnf(refute_0_4344,plain,
join(composition(B,top),converse(composition(top,B))) = composition(join(B,converse(B)),top),
inference(subst,[],[refute_0_4343:[bind(X_150,$fot(B)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_4345,plain,
( composition(converse(join(one,B)),composition(B,top)) != join(composition(B,top),converse(composition(top,B)))
| join(composition(B,top),converse(composition(top,B))) != composition(join(B,converse(B)),top)
| composition(converse(join(one,B)),composition(B,top)) = composition(join(B,converse(B)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(one,B)),composition(B,top)),composition(join(B,converse(B)),top)) ),[0],$fot(join(composition(B,top),converse(composition(top,B))))]]) ).
cnf(refute_0_4346,plain,
( composition(converse(join(one,B)),composition(B,top)) != join(composition(B,top),converse(composition(top,B)))
| composition(converse(join(one,B)),composition(B,top)) = composition(join(B,converse(B)),top) ),
inference(resolve,[$cnf( $equal(join(composition(B,top),converse(composition(top,B))),composition(join(B,converse(B)),top)) )],[refute_0_4344,refute_0_4345]) ).
cnf(refute_0_4347,plain,
( composition(join(converse(B),one),composition(B,top)) != join(composition(B,top),converse(composition(top,B)))
| composition(converse(join(one,B)),composition(B,top)) = composition(join(B,converse(B)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,B)),composition(B,top)),join(composition(B,top),converse(composition(top,B)))) )],[refute_0_4337,refute_0_4346]) ).
cnf(refute_0_4348,plain,
composition(converse(join(one,B)),composition(B,top)) = composition(join(B,converse(B)),top),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),composition(B,top)),join(composition(B,top),converse(composition(top,B)))) )],[refute_0_4313,refute_0_4347]) ).
cnf(refute_0_4349,plain,
composition(converse(join(one,sk1)),composition(sk1,top)) = composition(join(sk1,converse(sk1)),top),
inference(subst,[],[refute_0_4348:[bind(B,$fot(sk1))]]) ).
cnf(refute_0_4350,plain,
( composition(converse(join(one,sk1)),composition(sk1,top)) != composition(join(sk1,converse(sk1)),top)
| join(one,sk1) != one
| composition(converse(one),composition(sk1,top)) = composition(join(sk1,converse(sk1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,sk1)),composition(sk1,top)),composition(join(sk1,converse(sk1)),top)) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_4351,plain,
( composition(converse(join(one,sk1)),composition(sk1,top)) != composition(join(sk1,converse(sk1)),top)
| composition(converse(one),composition(sk1,top)) = composition(join(sk1,converse(sk1)),top) ),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_1649,refute_0_4350]) ).
cnf(refute_0_4352,plain,
composition(converse(one),composition(sk1,top)) = composition(join(sk1,converse(sk1)),top),
inference(resolve,[$cnf( $equal(composition(converse(join(one,sk1)),composition(sk1,top)),composition(join(sk1,converse(sk1)),top)) )],[refute_0_4349,refute_0_4351]) ).
cnf(refute_0_4353,plain,
composition(one,composition(sk1,top)) = composition(sk1,top),
inference(subst,[],[refute_0_121:[bind(X_15,$fot(composition(sk1,top)))]]) ).
cnf(refute_0_4354,plain,
composition(converse(one),composition(sk1,top)) = composition(converse(one),composition(sk1,top)),
introduced(tautology,[refl,[$fot(composition(converse(one),composition(sk1,top)))]]) ).
cnf(refute_0_4355,plain,
( composition(converse(one),composition(sk1,top)) != composition(converse(one),composition(sk1,top))
| converse(one) != one
| composition(converse(one),composition(sk1,top)) = composition(one,composition(sk1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(converse(one),composition(sk1,top))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4356,plain,
( converse(one) != one
| composition(converse(one),composition(sk1,top)) = composition(one,composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(converse(one),composition(sk1,top))) )],[refute_0_4354,refute_0_4355]) ).
cnf(refute_0_4357,plain,
composition(converse(one),composition(sk1,top)) = composition(one,composition(sk1,top)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_4356]) ).
cnf(refute_0_4358,plain,
( composition(converse(one),composition(sk1,top)) != composition(one,composition(sk1,top))
| composition(one,composition(sk1,top)) != composition(sk1,top)
| composition(converse(one),composition(sk1,top)) = composition(sk1,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(one),composition(sk1,top)))),bind(Y,$fot(composition(one,composition(sk1,top)))),bind(Z,$fot(composition(sk1,top)))]]) ).
cnf(refute_0_4359,plain,
( composition(one,composition(sk1,top)) != composition(sk1,top)
| composition(converse(one),composition(sk1,top)) = composition(sk1,top) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(one,composition(sk1,top))) )],[refute_0_4357,refute_0_4358]) ).
cnf(refute_0_4360,plain,
composition(converse(one),composition(sk1,top)) = composition(sk1,top),
inference(resolve,[$cnf( $equal(composition(one,composition(sk1,top)),composition(sk1,top)) )],[refute_0_4353,refute_0_4359]) ).
cnf(refute_0_4361,plain,
( composition(converse(one),composition(sk1,top)) != composition(join(sk1,converse(sk1)),top)
| composition(converse(one),composition(sk1,top)) != composition(sk1,top)
| composition(sk1,top) = composition(join(sk1,converse(sk1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(join(sk1,converse(sk1)),top)) ),[0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_4362,plain,
( composition(converse(one),composition(sk1,top)) != composition(join(sk1,converse(sk1)),top)
| composition(sk1,top) = composition(join(sk1,converse(sk1)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(sk1,top)) )],[refute_0_4360,refute_0_4361]) ).
cnf(refute_0_4363,plain,
composition(sk1,top) = composition(join(sk1,converse(sk1)),top),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(sk1,top)),composition(join(sk1,converse(sk1)),top)) )],[refute_0_4352,refute_0_4362]) ).
cnf(refute_0_4364,plain,
( composition(sk1,top) != composition(join(sk1,converse(sk1)),top)
| composition(join(sk1,converse(sk1)),top) = composition(sk1,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(sk1,top))),bind(Y,$fot(composition(join(sk1,converse(sk1)),top)))]]) ).
cnf(refute_0_4365,plain,
composition(join(sk1,converse(sk1)),top) = composition(sk1,top),
inference(resolve,[$cnf( $equal(composition(sk1,top),composition(join(sk1,converse(sk1)),top)) )],[refute_0_4363,refute_0_4364]) ).
cnf(refute_0_4366,plain,
( composition(join(sk1,converse(sk1)),top) != composition(sk1,top)
| converse(composition(join(sk1,converse(sk1)),top)) != composition(converse(top),converse(join(sk1,converse(sk1))))
| converse(composition(sk1,top)) = composition(converse(top),converse(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(sk1,converse(sk1)),top)),composition(converse(top),converse(join(sk1,converse(sk1))))) ),[0,0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_4367,plain,
( converse(composition(join(sk1,converse(sk1)),top)) != composition(converse(top),converse(join(sk1,converse(sk1))))
| converse(composition(sk1,top)) = composition(converse(top),converse(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(composition(join(sk1,converse(sk1)),top),composition(sk1,top)) )],[refute_0_4365,refute_0_4366]) ).
cnf(refute_0_4368,plain,
converse(composition(sk1,top)) = composition(converse(top),converse(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(composition(join(sk1,converse(sk1)),top)),composition(converse(top),converse(join(sk1,converse(sk1))))) )],[refute_0_4292,refute_0_4367]) ).
cnf(refute_0_4369,plain,
composition(top,join(converse(sk1),sk1)) = composition(top,join(sk1,converse(sk1))),
inference(subst,[],[refute_0_3800:[bind(X_10,$fot(sk1)),bind(X_369,$fot(sk1)),bind(X_370,$fot(top))]]) ).
cnf(refute_0_4370,plain,
converse(composition(join(X_4,converse(A)),top)) = composition(top,converse(join(X_4,converse(A)))),
inference(subst,[],[refute_0_1634:[bind(X_8,$fot(join(X_4,converse(A))))]]) ).
cnf(refute_0_4371,plain,
( converse(composition(join(X_4,converse(A)),top)) != composition(top,converse(join(X_4,converse(A))))
| converse(join(X_4,converse(A))) != join(converse(X_4),A)
| converse(composition(join(X_4,converse(A)),top)) = composition(top,join(converse(X_4),A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_4,converse(A)),top)),composition(top,converse(join(X_4,converse(A))))) ),[1,1],$fot(join(converse(X_4),A))]]) ).
cnf(refute_0_4372,plain,
( converse(composition(join(X_4,converse(A)),top)) != composition(top,converse(join(X_4,converse(A))))
| converse(composition(join(X_4,converse(A)),top)) = composition(top,join(converse(X_4),A)) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),A)) )],[refute_0_345,refute_0_4371]) ).
cnf(refute_0_4373,plain,
converse(composition(join(X_4,converse(A)),top)) = composition(top,join(converse(X_4),A)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_4,converse(A)),top)),composition(top,converse(join(X_4,converse(A))))) )],[refute_0_4370,refute_0_4372]) ).
cnf(refute_0_4374,plain,
converse(composition(join(sk1,converse(sk1)),top)) = composition(top,join(converse(sk1),sk1)),
inference(subst,[],[refute_0_4373:[bind(A,$fot(sk1)),bind(X_4,$fot(sk1))]]) ).
cnf(refute_0_4375,plain,
( composition(top,join(converse(sk1),sk1)) != composition(top,join(sk1,converse(sk1)))
| converse(composition(join(sk1,converse(sk1)),top)) != composition(top,join(converse(sk1),sk1))
| converse(composition(join(sk1,converse(sk1)),top)) = composition(top,join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(join(sk1,converse(sk1)),top)))),bind(Y,$fot(composition(top,join(converse(sk1),sk1)))),bind(Z,$fot(composition(top,join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4376,plain,
( composition(top,join(converse(sk1),sk1)) != composition(top,join(sk1,converse(sk1)))
| converse(composition(join(sk1,converse(sk1)),top)) = composition(top,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(sk1,converse(sk1)),top)),composition(top,join(converse(sk1),sk1))) )],[refute_0_4374,refute_0_4375]) ).
cnf(refute_0_4377,plain,
converse(composition(join(sk1,converse(sk1)),top)) = composition(top,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(composition(top,join(converse(sk1),sk1)),composition(top,join(sk1,converse(sk1)))) )],[refute_0_4369,refute_0_4376]) ).
cnf(refute_0_4378,plain,
composition(converse(top),converse(join(sk1,converse(sk1)))) = converse(composition(join(sk1,converse(sk1)),top)),
inference(subst,[],[refute_0_1249:[bind(A,$fot(join(sk1,converse(sk1)))),bind(B,$fot(top))]]) ).
cnf(refute_0_4379,plain,
( composition(converse(top),converse(join(sk1,converse(sk1)))) != converse(composition(join(sk1,converse(sk1)),top))
| converse(composition(join(sk1,converse(sk1)),top)) != composition(top,join(sk1,converse(sk1)))
| composition(converse(top),converse(join(sk1,converse(sk1)))) = composition(top,join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(top),converse(join(sk1,converse(sk1)))))),bind(Y,$fot(converse(composition(join(sk1,converse(sk1)),top)))),bind(Z,$fot(composition(top,join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4380,plain,
( converse(composition(join(sk1,converse(sk1)),top)) != composition(top,join(sk1,converse(sk1)))
| composition(converse(top),converse(join(sk1,converse(sk1)))) = composition(top,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),converse(join(sk1,converse(sk1)))),converse(composition(join(sk1,converse(sk1)),top))) )],[refute_0_4378,refute_0_4379]) ).
cnf(refute_0_4381,plain,
composition(converse(top),converse(join(sk1,converse(sk1)))) = composition(top,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(join(sk1,converse(sk1)),top)),composition(top,join(sk1,converse(sk1)))) )],[refute_0_4377,refute_0_4380]) ).
cnf(refute_0_4382,plain,
( composition(converse(top),converse(join(sk1,converse(sk1)))) != composition(top,join(sk1,converse(sk1)))
| converse(composition(sk1,top)) != composition(converse(top),converse(join(sk1,converse(sk1))))
| converse(composition(sk1,top)) = composition(top,join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(sk1,top)),composition(converse(top),converse(join(sk1,converse(sk1))))) ),[1],$fot(composition(top,join(sk1,converse(sk1))))]]) ).
cnf(refute_0_4383,plain,
( converse(composition(sk1,top)) != composition(converse(top),converse(join(sk1,converse(sk1))))
| converse(composition(sk1,top)) = composition(top,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),converse(join(sk1,converse(sk1)))),composition(top,join(sk1,converse(sk1)))) )],[refute_0_4381,refute_0_4382]) ).
cnf(refute_0_4384,plain,
converse(composition(sk1,top)) = composition(top,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),composition(converse(top),converse(join(sk1,converse(sk1))))) )],[refute_0_4368,refute_0_4383]) ).
cnf(refute_0_4385,plain,
( converse(composition(sk1,top)) != composition(top,join(sk1,converse(sk1)))
| composition(top,join(sk1,converse(sk1))) = converse(composition(sk1,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(sk1,top)))),bind(Y,$fot(composition(top,join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4386,plain,
composition(top,join(sk1,converse(sk1))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),composition(top,join(sk1,converse(sk1)))) )],[refute_0_4384,refute_0_4385]) ).
cnf(refute_0_4387,plain,
converse(join(converse(composition(top,X_250)),composition(X_249,top))) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(composition(top,X_250)))),bind(B,$fot(composition(X_249,top)))]]) ).
cnf(refute_0_4388,plain,
composition(join(converse(X_9),X_151),top) = join(composition(converse(X_9),top),composition(X_151,top)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(X_9))),bind(B,$fot(X_151)),bind(C,$fot(top))]]) ).
cnf(refute_0_4389,plain,
( composition(converse(X_9),top) != converse(composition(top,X_9))
| composition(join(converse(X_9),X_151),top) != join(composition(converse(X_9),top),composition(X_151,top))
| composition(join(converse(X_9),X_151),top) = join(converse(composition(top,X_9)),composition(X_151,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_9),X_151),top),join(composition(converse(X_9),top),composition(X_151,top))) ),[1,0],$fot(converse(composition(top,X_9)))]]) ).
cnf(refute_0_4390,plain,
( composition(join(converse(X_9),X_151),top) != join(composition(converse(X_9),top),composition(X_151,top))
| composition(join(converse(X_9),X_151),top) = join(converse(composition(top,X_9)),composition(X_151,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_9),top),converse(composition(top,X_9))) )],[refute_0_2074,refute_0_4389]) ).
cnf(refute_0_4391,plain,
composition(join(converse(X_9),X_151),top) = join(converse(composition(top,X_9)),composition(X_151,top)),
inference(resolve,[$cnf( $equal(composition(join(converse(X_9),X_151),top),join(composition(converse(X_9),top),composition(X_151,top))) )],[refute_0_4388,refute_0_4390]) ).
cnf(refute_0_4392,plain,
composition(join(converse(X_250),X_249),top) = join(converse(composition(top,X_250)),composition(X_249,top)),
inference(subst,[],[refute_0_4391:[bind(X_151,$fot(X_249)),bind(X_9,$fot(X_250))]]) ).
cnf(refute_0_4393,plain,
( composition(join(converse(X_250),X_249),top) != join(converse(composition(top,X_250)),composition(X_249,top))
| join(converse(composition(top,X_250)),composition(X_249,top)) = composition(join(converse(X_250),X_249),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(converse(X_250),X_249),top))),bind(Y,$fot(join(converse(composition(top,X_250)),composition(X_249,top))))]]) ).
cnf(refute_0_4394,plain,
join(converse(composition(top,X_250)),composition(X_249,top)) = composition(join(converse(X_250),X_249),top),
inference(resolve,[$cnf( $equal(composition(join(converse(X_250),X_249),top),join(converse(composition(top,X_250)),composition(X_249,top))) )],[refute_0_4392,refute_0_4393]) ).
cnf(refute_0_4395,plain,
( converse(join(converse(composition(top,X_250)),composition(X_249,top))) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| join(converse(composition(top,X_250)),composition(X_249,top)) != composition(join(converse(X_250),X_249),top)
| converse(composition(join(converse(X_250),X_249),top)) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(top,X_250)),composition(X_249,top))),join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))) ),[0,0],$fot(composition(join(converse(X_250),X_249),top))]]) ).
cnf(refute_0_4396,plain,
( converse(join(converse(composition(top,X_250)),composition(X_249,top))) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| converse(composition(join(converse(X_250),X_249),top)) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,X_250)),composition(X_249,top)),composition(join(converse(X_250),X_249),top)) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
converse(composition(join(converse(X_250),X_249),top)) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,X_250)),composition(X_249,top))),join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))) )],[refute_0_4387,refute_0_4396]) ).
cnf(refute_0_4398,plain,
converse(composition(join(converse(A),X_5),top)) = composition(top,converse(join(converse(A),X_5))),
inference(subst,[],[refute_0_1634:[bind(X_8,$fot(join(converse(A),X_5)))]]) ).
cnf(refute_0_4399,plain,
( converse(composition(join(converse(A),X_5),top)) != composition(top,converse(join(converse(A),X_5)))
| converse(join(converse(A),X_5)) != join(A,converse(X_5))
| converse(composition(join(converse(A),X_5),top)) = composition(top,join(A,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(A),X_5),top)),composition(top,converse(join(converse(A),X_5)))) ),[1,1],$fot(join(A,converse(X_5)))]]) ).
cnf(refute_0_4400,plain,
( converse(composition(join(converse(A),X_5),top)) != composition(top,converse(join(converse(A),X_5)))
| converse(composition(join(converse(A),X_5),top)) = composition(top,join(A,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(A,converse(X_5))) )],[refute_0_300,refute_0_4399]) ).
cnf(refute_0_4401,plain,
converse(composition(join(converse(A),X_5),top)) = composition(top,join(A,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(A),X_5),top)),composition(top,converse(join(converse(A),X_5)))) )],[refute_0_4398,refute_0_4400]) ).
cnf(refute_0_4402,plain,
converse(composition(join(converse(X_250),X_249),top)) = composition(top,join(X_250,converse(X_249))),
inference(subst,[],[refute_0_4401:[bind(A,$fot(X_250)),bind(X_5,$fot(X_249))]]) ).
cnf(refute_0_4403,plain,
( converse(composition(join(converse(X_250),X_249),top)) != composition(top,join(X_250,converse(X_249)))
| converse(composition(join(converse(X_250),X_249),top)) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| composition(top,join(X_250,converse(X_249))) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_250),X_249),top)),join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))) ),[0],$fot(composition(top,join(X_250,converse(X_249))))]]) ).
cnf(refute_0_4404,plain,
( converse(composition(join(converse(X_250),X_249),top)) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| composition(top,join(X_250,converse(X_249))) = join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_250),X_249),top)),composition(top,join(X_250,converse(X_249)))) )],[refute_0_4402,refute_0_4403]) ).
cnf(refute_0_4405,plain,
converse(join(converse(composition(top,X_250)),composition(X_249,top))) = join(composition(top,X_250),converse(composition(X_249,top))),
inference(subst,[],[refute_0_300:[bind(A,$fot(composition(top,X_250))),bind(X_5,$fot(composition(X_249,top)))]]) ).
cnf(refute_0_4406,plain,
join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) = converse(join(converse(composition(top,X_250)),composition(X_249,top))),
inference(subst,[],[refute_0_289:[bind(A,$fot(converse(composition(top,X_250)))),bind(B,$fot(composition(X_249,top)))]]) ).
cnf(refute_0_4407,plain,
( converse(join(converse(composition(top,X_250)),composition(X_249,top))) != join(composition(top,X_250),converse(composition(X_249,top)))
| join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) != converse(join(converse(composition(top,X_250)),composition(X_249,top)))
| join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) = join(composition(top,X_250),converse(composition(X_249,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))))),bind(Y,$fot(converse(join(converse(composition(top,X_250)),composition(X_249,top))))),bind(Z,$fot(join(composition(top,X_250),converse(composition(X_249,top)))))]]) ).
cnf(refute_0_4408,plain,
( converse(join(converse(composition(top,X_250)),composition(X_249,top))) != join(composition(top,X_250),converse(composition(X_249,top)))
| join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) = join(composition(top,X_250),converse(composition(X_249,top))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))),converse(join(converse(composition(top,X_250)),composition(X_249,top)))) )],[refute_0_4406,refute_0_4407]) ).
cnf(refute_0_4409,plain,
join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) = join(composition(top,X_250),converse(composition(X_249,top))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,X_250)),composition(X_249,top))),join(composition(top,X_250),converse(composition(X_249,top)))) )],[refute_0_4405,refute_0_4408]) ).
cnf(refute_0_4410,plain,
( composition(top,join(X_250,converse(X_249))) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))) != join(composition(top,X_250),converse(composition(X_249,top)))
| composition(top,join(X_250,converse(X_249))) = join(composition(top,X_250),converse(composition(X_249,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,join(X_250,converse(X_249))),join(composition(top,X_250),converse(composition(X_249,top)))) ),[0],$fot(join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))))]]) ).
cnf(refute_0_4411,plain,
( composition(top,join(X_250,converse(X_249))) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| composition(top,join(X_250,converse(X_249))) = join(composition(top,X_250),converse(composition(X_249,top))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,X_250))),converse(composition(X_249,top))),join(composition(top,X_250),converse(composition(X_249,top)))) )],[refute_0_4409,refute_0_4410]) ).
cnf(refute_0_4412,plain,
( converse(composition(join(converse(X_250),X_249),top)) != join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))
| composition(top,join(X_250,converse(X_249))) = join(composition(top,X_250),converse(composition(X_249,top))) ),
inference(resolve,[$cnf( $equal(composition(top,join(X_250,converse(X_249))),join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))) )],[refute_0_4404,refute_0_4411]) ).
cnf(refute_0_4413,plain,
composition(top,join(X_250,converse(X_249))) = join(composition(top,X_250),converse(composition(X_249,top))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_250),X_249),top)),join(converse(converse(composition(top,X_250))),converse(composition(X_249,top)))) )],[refute_0_4397,refute_0_4412]) ).
cnf(refute_0_4414,plain,
( composition(top,join(X_250,converse(X_249))) != join(composition(top,X_250),converse(composition(X_249,top)))
| join(composition(top,X_250),converse(composition(X_249,top))) = composition(top,join(X_250,converse(X_249))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,join(X_250,converse(X_249))))),bind(Y,$fot(join(composition(top,X_250),converse(composition(X_249,top)))))]]) ).
cnf(refute_0_4415,plain,
join(composition(top,X_250),converse(composition(X_249,top))) = composition(top,join(X_250,converse(X_249))),
inference(resolve,[$cnf( $equal(composition(top,join(X_250,converse(X_249))),join(composition(top,X_250),converse(composition(X_249,top)))) )],[refute_0_4413,refute_0_4414]) ).
cnf(refute_0_4416,plain,
join(composition(top,sk1),converse(composition(sk1,top))) = composition(top,join(sk1,converse(sk1))),
inference(subst,[],[refute_0_4415:[bind(X_249,$fot(sk1)),bind(X_250,$fot(sk1))]]) ).
cnf(refute_0_4417,plain,
( composition(top,join(sk1,converse(sk1))) != converse(composition(sk1,top))
| join(composition(top,sk1),converse(composition(sk1,top))) != composition(top,join(sk1,converse(sk1)))
| join(composition(top,sk1),converse(composition(sk1,top))) = converse(composition(sk1,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(composition(top,sk1),converse(composition(sk1,top))))),bind(Y,$fot(composition(top,join(sk1,converse(sk1))))),bind(Z,$fot(converse(composition(sk1,top))))]]) ).
cnf(refute_0_4418,plain,
( composition(top,join(sk1,converse(sk1))) != converse(composition(sk1,top))
| join(composition(top,sk1),converse(composition(sk1,top))) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),converse(composition(sk1,top))),composition(top,join(sk1,converse(sk1)))) )],[refute_0_4416,refute_0_4417]) ).
cnf(refute_0_4419,plain,
join(composition(top,sk1),converse(composition(sk1,top))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(composition(top,join(sk1,converse(sk1))),converse(composition(sk1,top))) )],[refute_0_4386,refute_0_4418]) ).
cnf(refute_0_4420,plain,
complement(join(composition(top,sk1),converse(composition(sk1,top)))) = complement(join(composition(top,sk1),converse(composition(sk1,top)))),
introduced(tautology,[refl,[$fot(complement(join(composition(top,sk1),converse(composition(sk1,top)))))]]) ).
cnf(refute_0_4421,plain,
( complement(join(composition(top,sk1),converse(composition(sk1,top)))) != complement(join(composition(top,sk1),converse(composition(sk1,top))))
| join(composition(top,sk1),converse(composition(sk1,top))) != converse(composition(sk1,top))
| complement(join(composition(top,sk1),converse(composition(sk1,top)))) = complement(converse(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(top,sk1),converse(composition(sk1,top)))),complement(join(composition(top,sk1),converse(composition(sk1,top))))) ),[1,0],$fot(converse(composition(sk1,top)))]]) ).
cnf(refute_0_4422,plain,
( join(composition(top,sk1),converse(composition(sk1,top))) != converse(composition(sk1,top))
| complement(join(composition(top,sk1),converse(composition(sk1,top)))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(top,sk1),converse(composition(sk1,top)))),complement(join(composition(top,sk1),converse(composition(sk1,top))))) )],[refute_0_4420,refute_0_4421]) ).
cnf(refute_0_4423,plain,
complement(join(composition(top,sk1),converse(composition(sk1,top)))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),converse(composition(sk1,top))),converse(composition(sk1,top))) )],[refute_0_4419,refute_0_4422]) ).
cnf(refute_0_4424,plain,
meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))) = complement(join(composition(top,sk1),converse(composition(sk1,top)))),
inference(subst,[],[refute_0_3728:[bind(B,$fot(converse(composition(sk1,top)))),bind(X_600,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4425,plain,
join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))))]]) ).
cnf(refute_0_4426,plain,
( join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) != meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))
| meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))) != complement(join(composition(top,sk1),converse(composition(sk1,top))))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(join(composition(top,sk1),converse(composition(sk1,top)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))))),bind(Y,$fot(meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))),bind(Z,$fot(complement(join(composition(top,sk1),converse(composition(sk1,top))))))]]) ).
cnf(refute_0_4427,plain,
( meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))) != complement(join(composition(top,sk1),converse(composition(sk1,top))))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(join(composition(top,sk1),converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))),meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) )],[refute_0_4425,refute_0_4426]) ).
cnf(refute_0_4428,plain,
join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(join(composition(top,sk1),converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))),complement(join(composition(top,sk1),converse(composition(sk1,top))))) )],[refute_0_4424,refute_0_4427]) ).
cnf(refute_0_4429,plain,
( complement(join(composition(top,sk1),converse(composition(sk1,top)))) != complement(converse(composition(sk1,top)))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) != complement(join(composition(top,sk1),converse(composition(sk1,top))))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(converse(composition(sk1,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))))),bind(Y,$fot(complement(join(composition(top,sk1),converse(composition(sk1,top)))))),bind(Z,$fot(complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_4430,plain,
( complement(join(composition(top,sk1),converse(composition(sk1,top)))) != complement(converse(composition(sk1,top)))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))),complement(join(composition(top,sk1),converse(composition(sk1,top))))) )],[refute_0_4428,refute_0_4429]) ).
cnf(refute_0_4431,plain,
join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(complement(join(composition(top,sk1),converse(composition(sk1,top)))),complement(converse(composition(sk1,top)))) )],[refute_0_4423,refute_0_4430]) ).
cnf(refute_0_4432,plain,
( complement(composition(top,sk1)) != join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))
| join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))) != complement(converse(composition(sk1,top)))
| complement(composition(top,sk1)) = complement(converse(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))) ),[0],$fot(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))))]]) ).
cnf(refute_0_4433,plain,
( complement(composition(top,sk1)) != join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))
| complement(composition(top,sk1)) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top))))),complement(converse(composition(sk1,top)))) )],[refute_0_4431,refute_0_4432]) ).
cnf(refute_0_4434,plain,
complement(composition(top,sk1)) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(complement(composition(top,sk1)),join(zero,meet(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))))) )],[refute_0_4291,refute_0_4433]) ).
cnf(refute_0_4435,plain,
( complement(composition(top,sk1)) != complement(converse(composition(sk1,top)))
| complement(converse(composition(sk1,top))) = complement(composition(top,sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(top,sk1)))),bind(Y,$fot(complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_4436,plain,
complement(converse(composition(sk1,top))) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(composition(top,sk1)),complement(converse(composition(sk1,top)))) )],[refute_0_4434,refute_0_4435]) ).
cnf(refute_0_4437,plain,
( complement(converse(composition(sk1,top))) != complement(composition(top,sk1))
| converse(sk1) != join(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,top)))))
| converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,top)))))) ),[1,1,1],$fot(complement(composition(top,sk1)))]]) ).
cnf(refute_0_4438,plain,
( converse(sk1) != join(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,top)))))
| converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,top))),complement(composition(top,sk1))) )],[refute_0_4436,refute_0_4437]) ).
cnf(refute_0_4439,plain,
converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(converse(sk1),join(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,top)))))) )],[refute_0_4194,refute_0_4438]) ).
cnf(refute_0_4440,plain,
( converse(sk1) != join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))
| join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))))]]) ).
cnf(refute_0_4441,plain,
join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))) )],[refute_0_4439,refute_0_4440]) ).
cnf(refute_0_4442,plain,
( join(A,join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))) != join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))
| join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))) != converse(sk1)
| join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))),join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_4443,plain,
( join(A,join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))) != join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))
| join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1)))),converse(sk1)) )],[refute_0_4441,refute_0_4442]) ).
cnf(refute_0_4444,plain,
join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),
inference(resolve,[$cnf( $equal(join(A,join(converse(sk1),meet(converse(sk1),complement(composition(top,sk1))))),join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))) )],[refute_0_4193,refute_0_4443]) ).
cnf(refute_0_4445,plain,
meet(complement(composition(top,sk1)),meet(converse(sk1),composition(top,sk1))) = zero,
inference(subst,[],[refute_0_4018:[bind(X_427,$fot(converse(sk1))),bind(X_600,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4446,plain,
meet(X_229,composition(top,X_229)) = complement(complement(meet(X_229,composition(top,X_229)))),
inference(subst,[],[refute_0_708:[bind(B,$fot(meet(X_229,composition(top,X_229))))]]) ).
cnf(refute_0_4447,plain,
join(complement(B),composition(converse(composition(top,top)),complement(composition(top,composition(top,B))))) = complement(B),
inference(subst,[],[refute_0_1101:[bind(X_41,$fot(top)),bind(X_42,$fot(top))]]) ).
cnf(refute_0_4448,plain,
composition(top,composition(top,B)) = composition(top,B),
inference(subst,[],[refute_0_1534:[bind(C,$fot(B))]]) ).
cnf(refute_0_4449,plain,
( composition(top,composition(top,B)) != composition(top,B)
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,composition(top,B))))) != complement(B)
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,composition(top,B))))),complement(B)) ),[0,1,1,0],$fot(composition(top,B))]]) ).
cnf(refute_0_4450,plain,
( join(complement(B),composition(converse(composition(top,top)),complement(composition(top,composition(top,B))))) != complement(B)
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,B)),composition(top,B)) )],[refute_0_4448,refute_0_4449]) ).
cnf(refute_0_4451,plain,
join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,composition(top,B))))),complement(B)) )],[refute_0_4447,refute_0_4450]) ).
cnf(refute_0_4452,plain,
join(complement(B),complement(composition(top,B))) = complement(meet(B,composition(top,B))),
inference(subst,[],[refute_0_866:[bind(A,$fot(B)),bind(B,$fot(composition(top,B)))]]) ).
cnf(refute_0_4453,plain,
composition(top,complement(composition(top,B))) = complement(composition(top,B)),
inference(subst,[],[refute_0_1613:[bind(X_228,$fot(B))]]) ).
cnf(refute_0_4454,plain,
composition(converse(top),complement(composition(top,B))) = composition(converse(top),complement(composition(top,B))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(composition(top,B))))]]) ).
cnf(refute_0_4455,plain,
( composition(converse(top),complement(composition(top,B))) != composition(converse(top),complement(composition(top,B)))
| converse(top) != top
| composition(converse(top),complement(composition(top,B))) = composition(top,complement(composition(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,B))),composition(converse(top),complement(composition(top,B)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4456,plain,
( converse(top) != top
| composition(converse(top),complement(composition(top,B))) = composition(top,complement(composition(top,B))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,B))),composition(converse(top),complement(composition(top,B)))) )],[refute_0_4454,refute_0_4455]) ).
cnf(refute_0_4457,plain,
composition(converse(top),complement(composition(top,B))) = composition(top,complement(composition(top,B))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_4456]) ).
cnf(refute_0_4458,plain,
( composition(converse(top),complement(composition(top,B))) != composition(top,complement(composition(top,B)))
| composition(top,complement(composition(top,B))) != complement(composition(top,B))
| composition(converse(top),complement(composition(top,B))) = complement(composition(top,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(top),complement(composition(top,B))))),bind(Y,$fot(composition(top,complement(composition(top,B))))),bind(Z,$fot(complement(composition(top,B))))]]) ).
cnf(refute_0_4459,plain,
( composition(top,complement(composition(top,B))) != complement(composition(top,B))
| composition(converse(top),complement(composition(top,B))) = complement(composition(top,B)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,B))),composition(top,complement(composition(top,B)))) )],[refute_0_4457,refute_0_4458]) ).
cnf(refute_0_4460,plain,
composition(converse(top),complement(composition(top,B))) = complement(composition(top,B)),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,B))),complement(composition(top,B))) )],[refute_0_4453,refute_0_4459]) ).
cnf(refute_0_4461,plain,
composition(top,composition(converse(top),complement(composition(top,B)))) = composition(top,composition(converse(top),complement(composition(top,B)))),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(top),complement(composition(top,B)))))]]) ).
cnf(refute_0_4462,plain,
( composition(converse(top),complement(composition(top,B))) != complement(composition(top,B))
| composition(top,composition(converse(top),complement(composition(top,B)))) != composition(top,composition(converse(top),complement(composition(top,B))))
| composition(top,composition(converse(top),complement(composition(top,B)))) = composition(top,complement(composition(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(top),complement(composition(top,B)))),composition(top,composition(converse(top),complement(composition(top,B))))) ),[1,1],$fot(complement(composition(top,B)))]]) ).
cnf(refute_0_4463,plain,
( composition(converse(top),complement(composition(top,B))) != complement(composition(top,B))
| composition(top,composition(converse(top),complement(composition(top,B)))) = composition(top,complement(composition(top,B))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(top),complement(composition(top,B)))),composition(top,composition(converse(top),complement(composition(top,B))))) )],[refute_0_4461,refute_0_4462]) ).
cnf(refute_0_4464,plain,
composition(top,composition(converse(top),complement(composition(top,B)))) = composition(top,complement(composition(top,B))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,B))),complement(composition(top,B))) )],[refute_0_4460,refute_0_4463]) ).
cnf(refute_0_4465,plain,
( composition(top,complement(composition(top,B))) != complement(composition(top,B))
| composition(top,composition(converse(top),complement(composition(top,B)))) != composition(top,complement(composition(top,B)))
| composition(top,composition(converse(top),complement(composition(top,B)))) = complement(composition(top,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(top,composition(converse(top),complement(composition(top,B)))))),bind(Y,$fot(composition(top,complement(composition(top,B))))),bind(Z,$fot(complement(composition(top,B))))]]) ).
cnf(refute_0_4466,plain,
( composition(top,complement(composition(top,B))) != complement(composition(top,B))
| composition(top,composition(converse(top),complement(composition(top,B)))) = complement(composition(top,B)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(top),complement(composition(top,B)))),composition(top,complement(composition(top,B)))) )],[refute_0_4464,refute_0_4465]) ).
cnf(refute_0_4467,plain,
composition(top,composition(converse(top),complement(composition(top,B)))) = complement(composition(top,B)),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,B))),complement(composition(top,B))) )],[refute_0_4453,refute_0_4466]) ).
cnf(refute_0_4468,plain,
composition(top,composition(converse(X_223),C)) = composition(composition(top,converse(X_223)),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(top)),bind(B,$fot(converse(X_223)))]]) ).
cnf(refute_0_4469,plain,
converse(composition(X_223,top)) = composition(top,converse(X_223)),
inference(subst,[],[refute_0_1634:[bind(X_8,$fot(X_223))]]) ).
cnf(refute_0_4470,plain,
( converse(composition(X_223,top)) != composition(top,converse(X_223))
| composition(top,converse(X_223)) = converse(composition(X_223,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_223,top)))),bind(Y,$fot(composition(top,converse(X_223))))]]) ).
cnf(refute_0_4471,plain,
composition(top,converse(X_223)) = converse(composition(X_223,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_223,top)),composition(top,converse(X_223))) )],[refute_0_4469,refute_0_4470]) ).
cnf(refute_0_4472,plain,
( composition(top,composition(converse(X_223),C)) != composition(composition(top,converse(X_223)),C)
| composition(top,converse(X_223)) != converse(composition(X_223,top))
| composition(top,composition(converse(X_223),C)) = composition(converse(composition(X_223,top)),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(X_223),C)),composition(composition(top,converse(X_223)),C)) ),[1,0],$fot(converse(composition(X_223,top)))]]) ).
cnf(refute_0_4473,plain,
( composition(top,composition(converse(X_223),C)) != composition(composition(top,converse(X_223)),C)
| composition(top,composition(converse(X_223),C)) = composition(converse(composition(X_223,top)),C) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_223)),converse(composition(X_223,top))) )],[refute_0_4471,refute_0_4472]) ).
cnf(refute_0_4474,plain,
composition(top,composition(converse(X_223),C)) = composition(converse(composition(X_223,top)),C),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_223),C)),composition(composition(top,converse(X_223)),C)) )],[refute_0_4468,refute_0_4473]) ).
cnf(refute_0_4475,plain,
( composition(top,composition(converse(X_223),C)) != composition(converse(composition(X_223,top)),C)
| composition(converse(composition(X_223,top)),C) = composition(top,composition(converse(X_223),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,composition(converse(X_223),C)))),bind(Y,$fot(composition(converse(composition(X_223,top)),C)))]]) ).
cnf(refute_0_4476,plain,
composition(converse(composition(X_223,top)),C) = composition(top,composition(converse(X_223),C)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_223),C)),composition(converse(composition(X_223,top)),C)) )],[refute_0_4474,refute_0_4475]) ).
cnf(refute_0_4477,plain,
composition(converse(composition(top,top)),complement(composition(top,B))) = composition(top,composition(converse(top),complement(composition(top,B)))),
inference(subst,[],[refute_0_4476:[bind(C,$fot(complement(composition(top,B)))),bind(X_223,$fot(top))]]) ).
cnf(refute_0_4478,plain,
( composition(converse(composition(top,top)),complement(composition(top,B))) != composition(top,composition(converse(top),complement(composition(top,B))))
| composition(top,composition(converse(top),complement(composition(top,B)))) != complement(composition(top,B))
| composition(converse(composition(top,top)),complement(composition(top,B))) = complement(composition(top,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(composition(top,top)),complement(composition(top,B))))),bind(Y,$fot(composition(top,composition(converse(top),complement(composition(top,B)))))),bind(Z,$fot(complement(composition(top,B))))]]) ).
cnf(refute_0_4479,plain,
( composition(top,composition(converse(top),complement(composition(top,B)))) != complement(composition(top,B))
| composition(converse(composition(top,top)),complement(composition(top,B))) = complement(composition(top,B)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,top)),complement(composition(top,B))),composition(top,composition(converse(top),complement(composition(top,B))))) )],[refute_0_4477,refute_0_4478]) ).
cnf(refute_0_4480,plain,
composition(converse(composition(top,top)),complement(composition(top,B))) = complement(composition(top,B)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(top),complement(composition(top,B)))),complement(composition(top,B))) )],[refute_0_4467,refute_0_4479]) ).
cnf(refute_0_4481,plain,
join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))))]]) ).
cnf(refute_0_4482,plain,
( composition(converse(composition(top,top)),complement(composition(top,B))) != complement(composition(top,B))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) != join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B))))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = join(complement(B),complement(composition(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B))))) ),[1,1],$fot(complement(composition(top,B)))]]) ).
cnf(refute_0_4483,plain,
( composition(converse(composition(top,top)),complement(composition(top,B))) != complement(composition(top,B))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = join(complement(B),complement(composition(top,B))) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B))))) )],[refute_0_4481,refute_0_4482]) ).
cnf(refute_0_4484,plain,
join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = join(complement(B),complement(composition(top,B))),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,top)),complement(composition(top,B))),complement(composition(top,B))) )],[refute_0_4480,refute_0_4483]) ).
cnf(refute_0_4485,plain,
( join(complement(B),complement(composition(top,B))) != complement(meet(B,composition(top,B)))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) != join(complement(B),complement(composition(top,B)))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(meet(B,composition(top,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))))),bind(Y,$fot(join(complement(B),complement(composition(top,B))))),bind(Z,$fot(complement(meet(B,composition(top,B)))))]]) ).
cnf(refute_0_4486,plain,
( join(complement(B),complement(composition(top,B))) != complement(meet(B,composition(top,B)))
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(meet(B,composition(top,B))) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),join(complement(B),complement(composition(top,B)))) )],[refute_0_4484,refute_0_4485]) ).
cnf(refute_0_4487,plain,
join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) = complement(meet(B,composition(top,B))),
inference(resolve,[$cnf( $equal(join(complement(B),complement(composition(top,B))),complement(meet(B,composition(top,B)))) )],[refute_0_4452,refute_0_4486]) ).
cnf(refute_0_4488,plain,
( join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) != complement(B)
| join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) != complement(meet(B,composition(top,B)))
| complement(meet(B,composition(top,B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),complement(B)) ),[0],$fot(complement(meet(B,composition(top,B))))]]) ).
cnf(refute_0_4489,plain,
( join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))) != complement(B)
| complement(meet(B,composition(top,B))) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),complement(meet(B,composition(top,B)))) )],[refute_0_4487,refute_0_4488]) ).
cnf(refute_0_4490,plain,
complement(meet(B,composition(top,B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(top,top)),complement(composition(top,B)))),complement(B)) )],[refute_0_4451,refute_0_4489]) ).
cnf(refute_0_4491,plain,
complement(meet(X_229,composition(top,X_229))) = complement(X_229),
inference(subst,[],[refute_0_4490:[bind(B,$fot(X_229))]]) ).
cnf(refute_0_4492,plain,
( complement(meet(X_229,composition(top,X_229))) != complement(X_229)
| meet(X_229,composition(top,X_229)) != complement(complement(meet(X_229,composition(top,X_229))))
| meet(X_229,composition(top,X_229)) = complement(complement(X_229)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_229,composition(top,X_229)),complement(complement(meet(X_229,composition(top,X_229))))) ),[1,0],$fot(complement(X_229))]]) ).
cnf(refute_0_4493,plain,
( meet(X_229,composition(top,X_229)) != complement(complement(meet(X_229,composition(top,X_229))))
| meet(X_229,composition(top,X_229)) = complement(complement(X_229)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_229,composition(top,X_229))),complement(X_229)) )],[refute_0_4491,refute_0_4492]) ).
cnf(refute_0_4494,plain,
meet(X_229,composition(top,X_229)) = complement(complement(X_229)),
inference(resolve,[$cnf( $equal(meet(X_229,composition(top,X_229)),complement(complement(meet(X_229,composition(top,X_229))))) )],[refute_0_4446,refute_0_4493]) ).
cnf(refute_0_4495,plain,
complement(complement(X_229)) = X_229,
inference(subst,[],[refute_0_710:[bind(B,$fot(X_229))]]) ).
cnf(refute_0_4496,plain,
( complement(complement(X_229)) != X_229
| meet(X_229,composition(top,X_229)) != complement(complement(X_229))
| meet(X_229,composition(top,X_229)) = X_229 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_229,composition(top,X_229)),complement(complement(X_229))) ),[1],$fot(X_229)]]) ).
cnf(refute_0_4497,plain,
( meet(X_229,composition(top,X_229)) != complement(complement(X_229))
| meet(X_229,composition(top,X_229)) = X_229 ),
inference(resolve,[$cnf( $equal(complement(complement(X_229)),X_229) )],[refute_0_4495,refute_0_4496]) ).
cnf(refute_0_4498,plain,
meet(X_229,composition(top,X_229)) = X_229,
inference(resolve,[$cnf( $equal(meet(X_229,composition(top,X_229)),complement(complement(X_229))) )],[refute_0_4494,refute_0_4497]) ).
cnf(refute_0_4499,plain,
meet(converse(X_8),composition(top,converse(X_8))) = converse(X_8),
inference(subst,[],[refute_0_4498:[bind(X_229,$fot(converse(X_8)))]]) ).
cnf(refute_0_4500,plain,
( composition(top,converse(X_8)) != converse(composition(X_8,top))
| meet(converse(X_8),composition(top,converse(X_8))) != converse(X_8)
| meet(converse(X_8),converse(composition(X_8,top))) = converse(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_8),composition(top,converse(X_8))),converse(X_8)) ),[0,1],$fot(converse(composition(X_8,top)))]]) ).
cnf(refute_0_4501,plain,
( meet(converse(X_8),composition(top,converse(X_8))) != converse(X_8)
| meet(converse(X_8),converse(composition(X_8,top))) = converse(X_8) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_8)),converse(composition(X_8,top))) )],[refute_0_1636,refute_0_4500]) ).
cnf(refute_0_4502,plain,
meet(converse(X_8),converse(composition(X_8,top))) = converse(X_8),
inference(resolve,[$cnf( $equal(meet(converse(X_8),composition(top,converse(X_8))),converse(X_8)) )],[refute_0_4499,refute_0_4501]) ).
cnf(refute_0_4503,plain,
meet(converse(sk1),converse(composition(sk1,top))) = converse(sk1),
inference(subst,[],[refute_0_4502:[bind(X_8,$fot(sk1))]]) ).
cnf(refute_0_4504,plain,
converse(composition(sk1,top)) = complement(complement(converse(composition(sk1,top)))),
inference(subst,[],[refute_0_708:[bind(B,$fot(converse(composition(sk1,top))))]]) ).
cnf(refute_0_4505,plain,
( complement(converse(composition(sk1,top))) != complement(composition(top,sk1))
| converse(composition(sk1,top)) != complement(complement(converse(composition(sk1,top))))
| converse(composition(sk1,top)) = complement(complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(sk1,top)),complement(complement(converse(composition(sk1,top))))) ),[1,0],$fot(complement(composition(top,sk1)))]]) ).
cnf(refute_0_4506,plain,
( converse(composition(sk1,top)) != complement(complement(converse(composition(sk1,top))))
| converse(composition(sk1,top)) = complement(complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,top))),complement(composition(top,sk1))) )],[refute_0_4436,refute_0_4505]) ).
cnf(refute_0_4507,plain,
converse(composition(sk1,top)) = complement(complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),complement(complement(converse(composition(sk1,top))))) )],[refute_0_4504,refute_0_4506]) ).
cnf(refute_0_4508,plain,
complement(complement(composition(top,sk1))) = composition(top,sk1),
inference(subst,[],[refute_0_710:[bind(B,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4509,plain,
( complement(complement(composition(top,sk1))) != composition(top,sk1)
| converse(composition(sk1,top)) != complement(complement(composition(top,sk1)))
| converse(composition(sk1,top)) = composition(top,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(sk1,top)),complement(complement(composition(top,sk1)))) ),[1],$fot(composition(top,sk1))]]) ).
cnf(refute_0_4510,plain,
( converse(composition(sk1,top)) != complement(complement(composition(top,sk1)))
| converse(composition(sk1,top)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,sk1))),composition(top,sk1)) )],[refute_0_4508,refute_0_4509]) ).
cnf(refute_0_4511,plain,
converse(composition(sk1,top)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),complement(complement(composition(top,sk1)))) )],[refute_0_4507,refute_0_4510]) ).
cnf(refute_0_4512,plain,
( converse(composition(sk1,top)) != composition(top,sk1)
| meet(converse(sk1),converse(composition(sk1,top))) != converse(sk1)
| meet(converse(sk1),composition(top,sk1)) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),converse(composition(sk1,top))),converse(sk1)) ),[0,1],$fot(composition(top,sk1))]]) ).
cnf(refute_0_4513,plain,
( meet(converse(sk1),converse(composition(sk1,top))) != converse(sk1)
| meet(converse(sk1),composition(top,sk1)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),composition(top,sk1)) )],[refute_0_4511,refute_0_4512]) ).
cnf(refute_0_4514,plain,
meet(converse(sk1),composition(top,sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(composition(sk1,top))),converse(sk1)) )],[refute_0_4503,refute_0_4513]) ).
cnf(refute_0_4515,plain,
( meet(complement(composition(top,sk1)),meet(converse(sk1),composition(top,sk1))) != zero
| meet(converse(sk1),composition(top,sk1)) != converse(sk1)
| meet(complement(composition(top,sk1)),converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,sk1)),meet(converse(sk1),composition(top,sk1))),zero) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_4516,plain,
( meet(complement(composition(top,sk1)),meet(converse(sk1),composition(top,sk1))) != zero
| meet(complement(composition(top,sk1)),converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),composition(top,sk1)),converse(sk1)) )],[refute_0_4514,refute_0_4515]) ).
cnf(refute_0_4517,plain,
meet(complement(composition(top,sk1)),converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),meet(converse(sk1),composition(top,sk1))),zero) )],[refute_0_4445,refute_0_4516]) ).
cnf(refute_0_4518,plain,
meet(complement(composition(top,sk1)),converse(sk1)) = meet(converse(sk1),complement(composition(top,sk1))),
inference(subst,[],[refute_0_4173:[bind(X_275,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_4519,plain,
( meet(complement(composition(top,sk1)),converse(sk1)) != meet(converse(sk1),complement(composition(top,sk1)))
| meet(complement(composition(top,sk1)),converse(sk1)) != zero
| meet(converse(sk1),complement(composition(top,sk1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(sk1)),zero) ),[0],$fot(meet(converse(sk1),complement(composition(top,sk1))))]]) ).
cnf(refute_0_4520,plain,
( meet(complement(composition(top,sk1)),converse(sk1)) != zero
| meet(converse(sk1),complement(composition(top,sk1))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(sk1)),meet(converse(sk1),complement(composition(top,sk1)))) )],[refute_0_4518,refute_0_4519]) ).
cnf(refute_0_4521,plain,
meet(converse(sk1),complement(composition(top,sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(top,sk1)),converse(sk1)),zero) )],[refute_0_4517,refute_0_4520]) ).
cnf(refute_0_4522,plain,
join(meet(converse(sk1),complement(composition(top,sk1))),A) = join(meet(converse(sk1),complement(composition(top,sk1))),A),
introduced(tautology,[refl,[$fot(join(meet(converse(sk1),complement(composition(top,sk1))),A))]]) ).
cnf(refute_0_4523,plain,
( join(meet(converse(sk1),complement(composition(top,sk1))),A) != join(meet(converse(sk1),complement(composition(top,sk1))),A)
| meet(converse(sk1),complement(composition(top,sk1))) != zero
| join(meet(converse(sk1),complement(composition(top,sk1))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(sk1),complement(composition(top,sk1))),A),join(meet(converse(sk1),complement(composition(top,sk1))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4524,plain,
( meet(converse(sk1),complement(composition(top,sk1))) != zero
| join(meet(converse(sk1),complement(composition(top,sk1))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(composition(top,sk1))),A),join(meet(converse(sk1),complement(composition(top,sk1))),A)) )],[refute_0_4522,refute_0_4523]) ).
cnf(refute_0_4525,plain,
join(meet(converse(sk1),complement(composition(top,sk1))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(composition(top,sk1))),zero) )],[refute_0_4521,refute_0_4524]) ).
cnf(refute_0_4526,plain,
( join(meet(converse(sk1),complement(composition(top,sk1))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(converse(sk1),complement(composition(top,sk1))),A) = A ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(sk1),complement(composition(top,sk1))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_4527,plain,
( join(zero,A) != A
| join(meet(converse(sk1),complement(composition(top,sk1))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(composition(top,sk1))),A),join(zero,A)) )],[refute_0_4525,refute_0_4526]) ).
cnf(refute_0_4528,plain,
join(meet(converse(sk1),complement(composition(top,sk1))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1796,refute_0_4527]) ).
cnf(refute_0_4529,plain,
join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) = join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)))]]) ).
cnf(refute_0_4530,plain,
( join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) != join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))
| join(meet(converse(sk1),complement(composition(top,sk1))),A) != A
| join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) = join(converse(sk1),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_4531,plain,
( join(meet(converse(sk1),complement(composition(top,sk1))),A) != A
| join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))) )],[refute_0_4529,refute_0_4530]) ).
cnf(refute_0_4532,plain,
join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(composition(top,sk1))),A),A) )],[refute_0_4528,refute_0_4531]) ).
cnf(refute_0_4533,plain,
( join(A,converse(sk1)) != join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))
| join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)) != join(converse(sk1),A)
| join(A,converse(sk1)) = join(converse(sk1),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,converse(sk1)),join(converse(sk1),A)) ),[0],$fot(join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)))]]) ).
cnf(refute_0_4534,plain,
( join(A,converse(sk1)) != join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))
| join(A,converse(sk1)) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A)),join(converse(sk1),A)) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
join(A,converse(sk1)) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(join(A,converse(sk1)),join(converse(sk1),join(meet(converse(sk1),complement(composition(top,sk1))),A))) )],[refute_0_4444,refute_0_4534]) ).
cnf(refute_0_4536,plain,
( join(A,converse(sk1)) != join(converse(sk1),A)
| join(converse(sk1),A) = join(A,converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(sk1)))),bind(Y,$fot(join(converse(sk1),A)))]]) ).
cnf(refute_0_4537,plain,
join(converse(sk1),A) = join(A,converse(sk1)),
inference(resolve,[$cnf( $equal(join(A,converse(sk1)),join(converse(sk1),A)) )],[refute_0_4535,refute_0_4536]) ).
cnf(refute_0_4538,plain,
join(converse(sk1),complement(one)) = join(complement(one),converse(sk1)),
inference(subst,[],[refute_0_4537:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_4539,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(one)) != join(complement(one),converse(sk1))
| join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),complement(one)))),bind(Y,$fot(join(complement(one),converse(sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_4540,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(one)),join(complement(one),converse(sk1))) )],[refute_0_4538,refute_0_4539]) ).
cnf(refute_0_4541,plain,
join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_3636,refute_0_4540]) ).
cnf(refute_0_4542,plain,
converse(join(sk1,meet(one,complement(sk1)))) = converse(join(sk1,meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4543,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != converse(join(sk1,meet(one,complement(sk1))))
| join(sk1,meet(one,complement(sk1))) != one
| converse(join(sk1,meet(one,complement(sk1)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4544,plain,
( join(sk1,meet(one,complement(sk1))) != one
| converse(join(sk1,meet(one,complement(sk1)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) )],[refute_0_4542,refute_0_4543]) ).
cnf(refute_0_4545,plain,
converse(join(sk1,meet(one,complement(sk1)))) = converse(one),
inference(resolve,[$cnf( $equal(join(sk1,meet(one,complement(sk1))),one) )],[refute_0_1708,refute_0_4544]) ).
cnf(refute_0_4546,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != converse(one)
| converse(one) != one
| converse(join(sk1,meet(one,complement(sk1)))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(sk1,meet(one,complement(sk1)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4547,plain,
( converse(one) != one
| converse(join(sk1,meet(one,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(one)) )],[refute_0_4545,refute_0_4546]) ).
cnf(refute_0_4548,plain,
converse(join(sk1,meet(one,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_4547]) ).
cnf(refute_0_4549,plain,
join(converse(sk1),converse(meet(one,complement(sk1)))) = converse(join(sk1,meet(one,complement(sk1)))),
inference(subst,[],[refute_0_289:[bind(A,$fot(sk1)),bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4550,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != one
| join(converse(sk1),converse(meet(one,complement(sk1)))) != converse(join(sk1,meet(one,complement(sk1))))
| join(converse(sk1),converse(meet(one,complement(sk1)))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),converse(meet(one,complement(sk1)))))),bind(Y,$fot(converse(join(sk1,meet(one,complement(sk1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4551,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != one
| join(converse(sk1),converse(meet(one,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) )],[refute_0_4549,refute_0_4550]) ).
cnf(refute_0_4552,plain,
join(converse(sk1),converse(meet(one,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),one) )],[refute_0_4548,refute_0_4551]) ).
cnf(refute_0_4553,plain,
complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4554,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| join(converse(sk1),converse(meet(one,complement(sk1)))) != one
| complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4555,plain,
( join(converse(sk1),converse(meet(one,complement(sk1)))) != one
| complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) )],[refute_0_4553,refute_0_4554]) ).
cnf(refute_0_4556,plain,
complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(meet(one,complement(sk1)))),one) )],[refute_0_4552,refute_0_4555]) ).
cnf(refute_0_4557,plain,
meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_3728:[bind(B,$fot(converse(meet(one,complement(sk1))))),bind(X_600,$fot(converse(sk1)))]]) ).
cnf(refute_0_4558,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(one)
| meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) = complement(one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))),bind(Y,$fot(complement(join(converse(sk1),converse(meet(one,complement(sk1))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_4559,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(one)
| meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) )],[refute_0_4557,refute_0_4558]) ).
cnf(refute_0_4560,plain,
meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(one)) )],[refute_0_4556,refute_0_4559]) ).
cnf(refute_0_4561,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4562,plain,
( join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))
| meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) != complement(one)
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = join(converse(sk1),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4563,plain,
( meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))) != complement(one)
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = join(converse(sk1),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_4561,refute_0_4562]) ).
cnf(refute_0_4564,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = join(converse(sk1),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))),complement(one)) )],[refute_0_4560,refute_0_4563]) ).
cnf(refute_0_4565,plain,
( join(converse(sk1),complement(one)) != converse(join(sk1,complement(one)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) != join(converse(sk1),complement(one))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))))),bind(Y,$fot(join(converse(sk1),complement(one)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_4566,plain,
( join(converse(sk1),complement(one)) != converse(join(sk1,complement(one)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),join(converse(sk1),complement(one))) )],[refute_0_4564,refute_0_4565]) ).
cnf(refute_0_4567,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(one)),converse(join(sk1,complement(one)))) )],[refute_0_4541,refute_0_4566]) ).
cnf(refute_0_4568,plain,
( complement(converse(meet(one,complement(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))) != converse(join(sk1,complement(one)))
| complement(converse(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(sk1)))),converse(join(sk1,complement(one)))) ),[0],$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4569,plain,
( complement(converse(meet(one,complement(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))
| complement(converse(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1)))))),converse(join(sk1,complement(one)))) )],[refute_0_4567,refute_0_4568]) ).
cnf(refute_0_4570,plain,
complement(converse(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_4192,refute_0_4569]) ).
cnf(refute_0_4571,plain,
( complement(converse(meet(one,complement(sk1)))) != converse(join(sk1,complement(one)))
| meet(converse(meet(one,complement(sk1))),composition(complement(converse(meet(one,complement(sk1)))),converse(sk1))) != zero
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(complement(converse(meet(one,complement(sk1)))),converse(sk1))),zero) ),[0,1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4572,plain,
( meet(converse(meet(one,complement(sk1))),composition(complement(converse(meet(one,complement(sk1)))),converse(sk1))) != zero
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_4570,refute_0_4571]) ).
cnf(refute_0_4573,plain,
meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(complement(converse(meet(one,complement(sk1)))),converse(sk1))),zero) )],[refute_0_3952,refute_0_4572]) ).
cnf(refute_0_4574,plain,
composition(converse(join(sk1,complement(one))),converse(sk1)) = converse(composition(sk1,join(sk1,complement(one)))),
inference(subst,[],[refute_0_1249:[bind(A,$fot(sk1)),bind(B,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4575,plain,
meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))))]]) ).
cnf(refute_0_4576,plain,
( composition(converse(join(sk1,complement(one))),converse(sk1)) != converse(composition(sk1,join(sk1,complement(one))))
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) != meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1)))
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1)))) ),[1,1],$fot(converse(composition(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4577,plain,
( composition(converse(join(sk1,complement(one))),converse(sk1)) != converse(composition(sk1,join(sk1,complement(one))))
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1)))) )],[refute_0_4575,refute_0_4576]) ).
cnf(refute_0_4578,plain,
meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) = meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(composition(converse(join(sk1,complement(one))),converse(sk1)),converse(composition(sk1,join(sk1,complement(one))))) )],[refute_0_4574,refute_0_4577]) ).
cnf(refute_0_4579,plain,
( meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) != meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one)))))
| meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) != zero
| meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),zero) ),[0],$fot(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4580,plain,
( meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))) != zero
| meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one)))))) )],[refute_0_4578,refute_0_4579]) ).
cnf(refute_0_4581,plain,
meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),composition(converse(join(sk1,complement(one))),converse(sk1))),zero) )],[refute_0_4573,refute_0_4580]) ).
cnf(refute_0_4582,plain,
( converse(meet(one,complement(sk1))) != join(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))
| meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))) != zero
| converse(meet(one,complement(sk1))) = join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4583,plain,
( converse(meet(one,complement(sk1))) != join(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(sk1))) = join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),zero) )],[refute_0_4581,refute_0_4582]) ).
cnf(refute_0_4584,plain,
converse(meet(one,complement(sk1))) = join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(converse(meet(one,complement(sk1))),converse(composition(sk1,join(sk1,complement(one))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))) )],[refute_0_3914,refute_0_4583]) ).
cnf(refute_0_4585,plain,
meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(complement(composition(join(sk1,complement(one)),sk1)))),bind(X_27,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4586,plain,
X_87 = join(meet(X_87,composition(complement(X_87),sk1)),meet(X_87,complement(composition(complement(X_87),sk1)))),
inference(subst,[],[refute_0_2735:[bind(B,$fot(composition(complement(X_87),sk1)))]]) ).
cnf(refute_0_4587,plain,
meet(complement(X_600),composition(X_600,sk1)) = complement(join(X_600,complement(composition(X_600,sk1)))),
inference(subst,[],[refute_0_282:[bind(B,$fot(composition(X_600,sk1))),bind(X_31,$fot(X_600))]]) ).
cnf(refute_0_4588,plain,
top = join(X_600,complement(composition(X_600,sk1))),
inference(subst,[],[refute_0_3335:[bind(A,$fot(X_600))]]) ).
cnf(refute_0_4589,plain,
( top != join(X_600,complement(composition(X_600,sk1)))
| join(X_600,complement(composition(X_600,sk1))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_600,complement(composition(X_600,sk1)))))]]) ).
cnf(refute_0_4590,plain,
join(X_600,complement(composition(X_600,sk1))) = top,
inference(resolve,[$cnf( $equal(top,join(X_600,complement(composition(X_600,sk1)))) )],[refute_0_4588,refute_0_4589]) ).
cnf(refute_0_4591,plain,
( join(X_600,complement(composition(X_600,sk1))) != top
| meet(complement(X_600),composition(X_600,sk1)) != complement(join(X_600,complement(composition(X_600,sk1))))
| meet(complement(X_600),composition(X_600,sk1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),composition(X_600,sk1)),complement(join(X_600,complement(composition(X_600,sk1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4592,plain,
( meet(complement(X_600),composition(X_600,sk1)) != complement(join(X_600,complement(composition(X_600,sk1))))
| meet(complement(X_600),composition(X_600,sk1)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_600,complement(composition(X_600,sk1))),top) )],[refute_0_4590,refute_0_4591]) ).
cnf(refute_0_4593,plain,
meet(complement(X_600),composition(X_600,sk1)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_600),composition(X_600,sk1)),complement(join(X_600,complement(composition(X_600,sk1))))) )],[refute_0_4587,refute_0_4592]) ).
cnf(refute_0_4594,plain,
( complement(top) != zero
| meet(complement(X_600),composition(X_600,sk1)) != complement(top)
| meet(complement(X_600),composition(X_600,sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_600),composition(X_600,sk1)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4595,plain,
( meet(complement(X_600),composition(X_600,sk1)) != complement(top)
| meet(complement(X_600),composition(X_600,sk1)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4594]) ).
cnf(refute_0_4596,plain,
meet(complement(X_600),composition(X_600,sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_600),composition(X_600,sk1)),complement(top)) )],[refute_0_4593,refute_0_4595]) ).
cnf(refute_0_4597,plain,
meet(complement(complement(B)),composition(complement(B),sk1)) = zero,
inference(subst,[],[refute_0_4596:[bind(X_600,$fot(complement(B)))]]) ).
cnf(refute_0_4598,plain,
( complement(complement(B)) != B
| meet(complement(complement(B)),composition(complement(B),sk1)) != zero
| meet(B,composition(complement(B),sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(B)),composition(complement(B),sk1)),zero) ),[0,0],$fot(B)]]) ).
cnf(refute_0_4599,plain,
( meet(complement(complement(B)),composition(complement(B),sk1)) != zero
| meet(B,composition(complement(B),sk1)) = zero ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_4598]) ).
cnf(refute_0_4600,plain,
meet(B,composition(complement(B),sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(B)),composition(complement(B),sk1)),zero) )],[refute_0_4597,refute_0_4599]) ).
cnf(refute_0_4601,plain,
meet(X_87,composition(complement(X_87),sk1)) = zero,
inference(subst,[],[refute_0_4600:[bind(B,$fot(X_87))]]) ).
cnf(refute_0_4602,plain,
( X_87 != join(meet(X_87,composition(complement(X_87),sk1)),meet(X_87,complement(composition(complement(X_87),sk1))))
| meet(X_87,composition(complement(X_87),sk1)) != zero
| X_87 = join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,composition(complement(X_87),sk1)),meet(X_87,complement(composition(complement(X_87),sk1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4603,plain,
( X_87 != join(meet(X_87,composition(complement(X_87),sk1)),meet(X_87,complement(composition(complement(X_87),sk1))))
| X_87 = join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))) ),
inference(resolve,[$cnf( $equal(meet(X_87,composition(complement(X_87),sk1)),zero) )],[refute_0_4601,refute_0_4602]) ).
cnf(refute_0_4604,plain,
X_87 = join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,composition(complement(X_87),sk1)),meet(X_87,complement(composition(complement(X_87),sk1))))) )],[refute_0_4586,refute_0_4603]) ).
cnf(refute_0_4605,plain,
join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))) = meet(X_87,complement(composition(complement(X_87),sk1))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(X_87,complement(composition(complement(X_87),sk1)))))]]) ).
cnf(refute_0_4606,plain,
( X_87 != join(zero,meet(X_87,complement(composition(complement(X_87),sk1))))
| join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))) != meet(X_87,complement(composition(complement(X_87),sk1)))
| X_87 = meet(X_87,complement(composition(complement(X_87),sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(X_87,complement(composition(complement(X_87),sk1)))) ),[0],$fot(join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))))]]) ).
cnf(refute_0_4607,plain,
( X_87 != join(zero,meet(X_87,complement(composition(complement(X_87),sk1))))
| X_87 = meet(X_87,complement(composition(complement(X_87),sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_87,complement(composition(complement(X_87),sk1)))),meet(X_87,complement(composition(complement(X_87),sk1)))) )],[refute_0_4605,refute_0_4606]) ).
cnf(refute_0_4608,plain,
X_87 = meet(X_87,complement(composition(complement(X_87),sk1))),
inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,complement(composition(complement(X_87),sk1))))) )],[refute_0_4604,refute_0_4607]) ).
cnf(refute_0_4609,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(complement(meet(one,complement(sk1))),sk1))),
inference(subst,[],[refute_0_4608:[bind(X_87,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4610,plain,
converse(complement(converse(meet(one,complement(sk1))))) = complement(converse(converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_901:[bind(A,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4611,plain,
( complement(converse(meet(one,complement(sk1)))) != converse(join(sk1,complement(one)))
| converse(complement(converse(meet(one,complement(sk1))))) != complement(converse(converse(meet(one,complement(sk1)))))
| converse(converse(join(sk1,complement(one)))) = complement(converse(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(meet(one,complement(sk1))))),complement(converse(converse(meet(one,complement(sk1)))))) ),[0,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4612,plain,
( converse(complement(converse(meet(one,complement(sk1))))) != complement(converse(converse(meet(one,complement(sk1)))))
| converse(converse(join(sk1,complement(one)))) = complement(converse(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_4570,refute_0_4611]) ).
cnf(refute_0_4613,plain,
converse(converse(join(sk1,complement(one)))) = complement(converse(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(one,complement(sk1))))),complement(converse(converse(meet(one,complement(sk1)))))) )],[refute_0_4610,refute_0_4612]) ).
cnf(refute_0_4614,plain,
converse(converse(join(sk1,complement(one)))) = join(sk1,complement(one)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4615,plain,
( converse(converse(join(sk1,complement(one)))) != complement(converse(converse(meet(one,complement(sk1)))))
| converse(converse(join(sk1,complement(one)))) != join(sk1,complement(one))
| join(sk1,complement(one)) = complement(converse(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(sk1,complement(one)))),complement(converse(converse(meet(one,complement(sk1)))))) ),[0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_4616,plain,
( converse(converse(join(sk1,complement(one)))) != complement(converse(converse(meet(one,complement(sk1)))))
| join(sk1,complement(one)) = complement(converse(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(sk1,complement(one)))),join(sk1,complement(one))) )],[refute_0_4614,refute_0_4615]) ).
cnf(refute_0_4617,plain,
converse(converse(meet(one,complement(sk1)))) = meet(one,complement(sk1)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4618,plain,
complement(converse(converse(meet(one,complement(sk1))))) = complement(converse(converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4619,plain,
( complement(converse(converse(meet(one,complement(sk1))))) != complement(converse(converse(meet(one,complement(sk1)))))
| converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| complement(converse(converse(meet(one,complement(sk1))))) = complement(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(meet(one,complement(sk1))))),complement(converse(converse(meet(one,complement(sk1)))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_4620,plain,
( converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| complement(converse(converse(meet(one,complement(sk1))))) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(one,complement(sk1))))),complement(converse(converse(meet(one,complement(sk1)))))) )],[refute_0_4618,refute_0_4619]) ).
cnf(refute_0_4621,plain,
complement(converse(converse(meet(one,complement(sk1))))) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(sk1)))),meet(one,complement(sk1))) )],[refute_0_4617,refute_0_4620]) ).
cnf(refute_0_4622,plain,
( complement(converse(converse(meet(one,complement(sk1))))) != complement(meet(one,complement(sk1)))
| join(sk1,complement(one)) != complement(converse(converse(meet(one,complement(sk1)))))
| join(sk1,complement(one)) = complement(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(one)),complement(converse(converse(meet(one,complement(sk1)))))) ),[1],$fot(complement(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4623,plain,
( join(sk1,complement(one)) != complement(converse(converse(meet(one,complement(sk1)))))
| join(sk1,complement(one)) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(meet(one,complement(sk1))))),complement(meet(one,complement(sk1)))) )],[refute_0_4621,refute_0_4622]) ).
cnf(refute_0_4624,plain,
( converse(converse(join(sk1,complement(one)))) != complement(converse(converse(meet(one,complement(sk1)))))
| join(sk1,complement(one)) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),complement(converse(converse(meet(one,complement(sk1)))))) )],[refute_0_4616,refute_0_4623]) ).
cnf(refute_0_4625,plain,
join(sk1,complement(one)) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(converse(join(sk1,complement(one)))),complement(converse(converse(meet(one,complement(sk1)))))) )],[refute_0_4613,refute_0_4624]) ).
cnf(refute_0_4626,plain,
( join(sk1,complement(one)) != complement(meet(one,complement(sk1)))
| complement(meet(one,complement(sk1))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(one)))),bind(Y,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4627,plain,
complement(meet(one,complement(sk1))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),complement(meet(one,complement(sk1)))) )],[refute_0_4625,refute_0_4626]) ).
cnf(refute_0_4628,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(composition(complement(meet(one,complement(sk1))),sk1)))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(composition(complement(meet(one,complement(sk1))),sk1)))) ),[1,1,0,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_4629,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(composition(complement(meet(one,complement(sk1))),sk1)))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_4627,refute_0_4628]) ).
cnf(refute_0_4630,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(composition(complement(meet(one,complement(sk1))),sk1)))) )],[refute_0_4609,refute_0_4629]) ).
cnf(refute_0_4631,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))
| meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(sk1)))),bind(Y,$fot(meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))))]]) ).
cnf(refute_0_4632,plain,
meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))) )],[refute_0_4630,refute_0_4631]) ).
cnf(refute_0_4633,plain,
( meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))
| meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))) != meet(one,complement(sk1))
| meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(one,complement(sk1))) ),[0],$fot(meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_4634,plain,
( meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))
| meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1))),meet(one,complement(sk1))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(meet(one,complement(sk1)),complement(composition(join(sk1,complement(one)),sk1)))) )],[refute_0_4585,refute_0_4634]) ).
cnf(refute_0_4636,plain,
converse(converse(join(X_77,join(X_76,complement(X_77))))) = join(X_77,join(X_76,complement(X_77))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_77,join(X_76,complement(X_77)))))]]) ).
cnf(refute_0_4637,plain,
converse(join(X_64,join(X_65,complement(X_65)))) = converse(join(X_65,join(X_64,complement(X_65)))),
inference(subst,[],[refute_0_599:[bind(B,$fot(complement(X_65))),bind(X_10,$fot(X_64)),bind(X_11,$fot(X_65))]]) ).
cnf(refute_0_4638,plain,
top = join(X_65,complement(X_65)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_65))]]) ).
cnf(refute_0_4639,plain,
( top != join(X_65,complement(X_65))
| join(X_65,complement(X_65)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_65,complement(X_65))))]]) ).
cnf(refute_0_4640,plain,
join(X_65,complement(X_65)) = top,
inference(resolve,[$cnf( $equal(top,join(X_65,complement(X_65))) )],[refute_0_4638,refute_0_4639]) ).
cnf(refute_0_4641,plain,
( converse(join(X_64,join(X_65,complement(X_65)))) != converse(join(X_65,join(X_64,complement(X_65))))
| join(X_65,complement(X_65)) != top
| converse(join(X_64,top)) = converse(join(X_65,join(X_64,complement(X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,join(X_65,complement(X_65)))),converse(join(X_65,join(X_64,complement(X_65))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_4642,plain,
( converse(join(X_64,join(X_65,complement(X_65)))) != converse(join(X_65,join(X_64,complement(X_65))))
| converse(join(X_64,top)) = converse(join(X_65,join(X_64,complement(X_65)))) ),
inference(resolve,[$cnf( $equal(join(X_65,complement(X_65)),top) )],[refute_0_4640,refute_0_4641]) ).
cnf(refute_0_4643,plain,
converse(join(X_64,top)) = converse(join(X_65,join(X_64,complement(X_65)))),
inference(resolve,[$cnf( $equal(converse(join(X_64,join(X_65,complement(X_65)))),converse(join(X_65,join(X_64,complement(X_65))))) )],[refute_0_4637,refute_0_4642]) ).
cnf(refute_0_4644,plain,
( converse(join(X_64,top)) != converse(join(X_65,join(X_64,complement(X_65))))
| converse(join(X_64,top)) != top
| top = converse(join(X_65,join(X_64,complement(X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_65,join(X_64,complement(X_65))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4645,plain,
( converse(join(X_64,top)) != converse(join(X_65,join(X_64,complement(X_65))))
| top = converse(join(X_65,join(X_64,complement(X_65)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),top) )],[refute_0_617,refute_0_4644]) ).
cnf(refute_0_4646,plain,
top = converse(join(X_65,join(X_64,complement(X_65)))),
inference(resolve,[$cnf( $equal(converse(join(X_64,top)),converse(join(X_65,join(X_64,complement(X_65))))) )],[refute_0_4643,refute_0_4645]) ).
cnf(refute_0_4647,plain,
top = converse(join(X_77,join(X_76,complement(X_77)))),
inference(subst,[],[refute_0_4646:[bind(X_64,$fot(X_76)),bind(X_65,$fot(X_77))]]) ).
cnf(refute_0_4648,plain,
( top != converse(join(X_77,join(X_76,complement(X_77))))
| converse(join(X_77,join(X_76,complement(X_77)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(X_77,join(X_76,complement(X_77))))))]]) ).
cnf(refute_0_4649,plain,
converse(join(X_77,join(X_76,complement(X_77)))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(X_77,join(X_76,complement(X_77))))) )],[refute_0_4647,refute_0_4648]) ).
cnf(refute_0_4650,plain,
( converse(converse(join(X_77,join(X_76,complement(X_77))))) != join(X_77,join(X_76,complement(X_77)))
| converse(join(X_77,join(X_76,complement(X_77)))) != top
| converse(top) = join(X_77,join(X_76,complement(X_77))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_77,join(X_76,complement(X_77))))),join(X_77,join(X_76,complement(X_77)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4651,plain,
( converse(converse(join(X_77,join(X_76,complement(X_77))))) != join(X_77,join(X_76,complement(X_77)))
| converse(top) = join(X_77,join(X_76,complement(X_77))) ),
inference(resolve,[$cnf( $equal(converse(join(X_77,join(X_76,complement(X_77)))),top) )],[refute_0_4649,refute_0_4650]) ).
cnf(refute_0_4652,plain,
converse(top) = join(X_77,join(X_76,complement(X_77))),
inference(resolve,[$cnf( $equal(converse(converse(join(X_77,join(X_76,complement(X_77))))),join(X_77,join(X_76,complement(X_77)))) )],[refute_0_4636,refute_0_4651]) ).
cnf(refute_0_4653,plain,
( converse(top) != join(X_77,join(X_76,complement(X_77)))
| converse(top) != top
| top = join(X_77,join(X_76,complement(X_77))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_77,join(X_76,complement(X_77)))) ),[0],$fot(top)]]) ).
cnf(refute_0_4654,plain,
( converse(top) != join(X_77,join(X_76,complement(X_77)))
| top = join(X_77,join(X_76,complement(X_77))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_547,refute_0_4653]) ).
cnf(refute_0_4655,plain,
top = join(X_77,join(X_76,complement(X_77))),
inference(resolve,[$cnf( $equal(converse(top),join(X_77,join(X_76,complement(X_77)))) )],[refute_0_4652,refute_0_4654]) ).
cnf(refute_0_4656,plain,
( top != join(X_77,join(X_76,complement(X_77)))
| join(X_77,join(X_76,complement(X_77))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_77,join(X_76,complement(X_77)))))]]) ).
cnf(refute_0_4657,plain,
join(X_77,join(X_76,complement(X_77))) = top,
inference(resolve,[$cnf( $equal(top,join(X_77,join(X_76,complement(X_77)))) )],[refute_0_4655,refute_0_4656]) ).
cnf(refute_0_4658,plain,
join(one,join(sk1,complement(one))) = top,
inference(subst,[],[refute_0_4657:[bind(X_76,$fot(sk1)),bind(X_77,$fot(one))]]) ).
cnf(refute_0_4659,plain,
composition(join(one,join(sk1,complement(one))),sk1) = composition(join(one,join(sk1,complement(one))),sk1),
introduced(tautology,[refl,[$fot(composition(join(one,join(sk1,complement(one))),sk1))]]) ).
cnf(refute_0_4660,plain,
( composition(join(one,join(sk1,complement(one))),sk1) != composition(join(one,join(sk1,complement(one))),sk1)
| join(one,join(sk1,complement(one))) != top
| composition(join(one,join(sk1,complement(one))),sk1) = composition(top,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(sk1,complement(one))),sk1),composition(join(one,join(sk1,complement(one))),sk1)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4661,plain,
( join(one,join(sk1,complement(one))) != top
| composition(join(one,join(sk1,complement(one))),sk1) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(sk1,complement(one))),sk1),composition(join(one,join(sk1,complement(one))),sk1)) )],[refute_0_4659,refute_0_4660]) ).
cnf(refute_0_4662,plain,
composition(join(one,join(sk1,complement(one))),sk1) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(one))),top) )],[refute_0_4658,refute_0_4661]) ).
cnf(refute_0_4663,plain,
converse(converse(composition(join(X_365,X_366),X_364))) = composition(join(X_365,X_366),X_364),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(join(X_365,X_366),X_364)))]]) ).
cnf(refute_0_4664,plain,
converse(composition(join(X_365,X_366),X_364)) = converse(composition(join(X_366,X_365),X_364)),
inference(subst,[],[refute_0_3545:[bind(B,$fot(X_364)),bind(X_10,$fot(X_365)),bind(X_11,$fot(X_366))]]) ).
cnf(refute_0_4665,plain,
( converse(composition(join(X_365,X_366),X_364)) != converse(composition(join(X_366,X_365),X_364))
| converse(converse(composition(join(X_365,X_366),X_364))) != composition(join(X_365,X_366),X_364)
| converse(converse(composition(join(X_366,X_365),X_364))) = composition(join(X_365,X_366),X_364) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(join(X_365,X_366),X_364))),composition(join(X_365,X_366),X_364)) ),[0,0],$fot(converse(composition(join(X_366,X_365),X_364)))]]) ).
cnf(refute_0_4666,plain,
( converse(converse(composition(join(X_365,X_366),X_364))) != composition(join(X_365,X_366),X_364)
| converse(converse(composition(join(X_366,X_365),X_364))) = composition(join(X_365,X_366),X_364) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_365,X_366),X_364)),converse(composition(join(X_366,X_365),X_364))) )],[refute_0_4664,refute_0_4665]) ).
cnf(refute_0_4667,plain,
converse(converse(composition(join(X_366,X_365),X_364))) = composition(join(X_365,X_366),X_364),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_365,X_366),X_364))),composition(join(X_365,X_366),X_364)) )],[refute_0_4663,refute_0_4666]) ).
cnf(refute_0_4668,plain,
converse(converse(composition(join(X_366,X_365),X_364))) = composition(join(X_366,X_365),X_364),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(join(X_366,X_365),X_364)))]]) ).
cnf(refute_0_4669,plain,
( converse(converse(composition(join(X_366,X_365),X_364))) != composition(join(X_365,X_366),X_364)
| converse(converse(composition(join(X_366,X_365),X_364))) != composition(join(X_366,X_365),X_364)
| composition(join(X_366,X_365),X_364) = composition(join(X_365,X_366),X_364) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(join(X_366,X_365),X_364))),composition(join(X_365,X_366),X_364)) ),[0],$fot(composition(join(X_366,X_365),X_364))]]) ).
cnf(refute_0_4670,plain,
( converse(converse(composition(join(X_366,X_365),X_364))) != composition(join(X_365,X_366),X_364)
| composition(join(X_366,X_365),X_364) = composition(join(X_365,X_366),X_364) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_366,X_365),X_364))),composition(join(X_366,X_365),X_364)) )],[refute_0_4668,refute_0_4669]) ).
cnf(refute_0_4671,plain,
composition(join(X_366,X_365),X_364) = composition(join(X_365,X_366),X_364),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_366,X_365),X_364))),composition(join(X_365,X_366),X_364)) )],[refute_0_4667,refute_0_4670]) ).
cnf(refute_0_4672,plain,
( composition(join(X_366,X_365),X_364) != composition(join(X_365,X_366),X_364)
| composition(join(X_365,X_366),X_364) = composition(join(X_366,X_365),X_364) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_366,X_365),X_364))),bind(Y,$fot(composition(join(X_365,X_366),X_364)))]]) ).
cnf(refute_0_4673,plain,
composition(join(X_365,X_366),X_364) = composition(join(X_366,X_365),X_364),
inference(resolve,[$cnf( $equal(composition(join(X_366,X_365),X_364),composition(join(X_365,X_366),X_364)) )],[refute_0_4671,refute_0_4672]) ).
cnf(refute_0_4674,plain,
composition(join(join(sk1,complement(one)),one),sk1) = composition(join(one,join(sk1,complement(one))),sk1),
inference(subst,[],[refute_0_4673:[bind(X_364,$fot(sk1)),bind(X_365,$fot(join(sk1,complement(one)))),bind(X_366,$fot(one))]]) ).
cnf(refute_0_4675,plain,
join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(join(join(sk1,complement(one)),one),sk1),
inference(subst,[],[refute_0_1420:[bind(X_150,$fot(join(sk1,complement(one)))),bind(X_152,$fot(sk1))]]) ).
cnf(refute_0_4676,plain,
( composition(join(join(sk1,complement(one)),one),sk1) != composition(join(one,join(sk1,complement(one))),sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) != composition(join(join(sk1,complement(one)),one),sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(join(one,join(sk1,complement(one))),sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,composition(join(sk1,complement(one)),sk1)))),bind(Y,$fot(composition(join(join(sk1,complement(one)),one),sk1))),bind(Z,$fot(composition(join(one,join(sk1,complement(one))),sk1)))]]) ).
cnf(refute_0_4677,plain,
( composition(join(join(sk1,complement(one)),one),sk1) != composition(join(one,join(sk1,complement(one))),sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(join(one,join(sk1,complement(one))),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(join(sk1,complement(one)),sk1)),composition(join(join(sk1,complement(one)),one),sk1)) )],[refute_0_4675,refute_0_4676]) ).
cnf(refute_0_4678,plain,
join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(join(one,join(sk1,complement(one))),sk1),
inference(resolve,[$cnf( $equal(composition(join(join(sk1,complement(one)),one),sk1),composition(join(one,join(sk1,complement(one))),sk1)) )],[refute_0_4674,refute_0_4677]) ).
cnf(refute_0_4679,plain,
( composition(join(one,join(sk1,complement(one))),sk1) != composition(top,sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) != composition(join(one,join(sk1,complement(one))),sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(top,sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,composition(join(sk1,complement(one)),sk1)))),bind(Y,$fot(composition(join(one,join(sk1,complement(one))),sk1))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4680,plain,
( composition(join(one,join(sk1,complement(one))),sk1) != composition(top,sk1)
| join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(join(sk1,complement(one)),sk1)),composition(join(one,join(sk1,complement(one))),sk1)) )],[refute_0_4678,refute_0_4679]) ).
cnf(refute_0_4681,plain,
join(sk1,composition(join(sk1,complement(one)),sk1)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(composition(join(one,join(sk1,complement(one))),sk1),composition(top,sk1)) )],[refute_0_4662,refute_0_4680]) ).
cnf(refute_0_4682,plain,
complement(join(sk1,composition(join(sk1,complement(one)),sk1))) = complement(join(sk1,composition(join(sk1,complement(one)),sk1))),
introduced(tautology,[refl,[$fot(complement(join(sk1,composition(join(sk1,complement(one)),sk1))))]]) ).
cnf(refute_0_4683,plain,
( complement(join(sk1,composition(join(sk1,complement(one)),sk1))) != complement(join(sk1,composition(join(sk1,complement(one)),sk1)))
| join(sk1,composition(join(sk1,complement(one)),sk1)) != composition(top,sk1)
| complement(join(sk1,composition(join(sk1,complement(one)),sk1))) = complement(composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,composition(join(sk1,complement(one)),sk1))),complement(join(sk1,composition(join(sk1,complement(one)),sk1)))) ),[1,0],$fot(composition(top,sk1))]]) ).
cnf(refute_0_4684,plain,
( join(sk1,composition(join(sk1,complement(one)),sk1)) != composition(top,sk1)
| complement(join(sk1,composition(join(sk1,complement(one)),sk1))) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(join(sk1,complement(one)),sk1))),complement(join(sk1,composition(join(sk1,complement(one)),sk1)))) )],[refute_0_4682,refute_0_4683]) ).
cnf(refute_0_4685,plain,
complement(join(sk1,composition(join(sk1,complement(one)),sk1))) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(sk1,composition(join(sk1,complement(one)),sk1)),composition(top,sk1)) )],[refute_0_4681,refute_0_4684]) ).
cnf(refute_0_4686,plain,
complement(join(composition(join(sk1,complement(one)),sk1),sk1)) = complement(join(sk1,composition(join(sk1,complement(one)),sk1))),
inference(subst,[],[refute_0_3386:[bind(A,$fot(sk1)),bind(B,$fot(composition(join(sk1,complement(one)),sk1)))]]) ).
cnf(refute_0_4687,plain,
( complement(join(composition(join(sk1,complement(one)),sk1),sk1)) != complement(join(sk1,composition(join(sk1,complement(one)),sk1)))
| complement(join(sk1,composition(join(sk1,complement(one)),sk1))) != complement(composition(top,sk1))
| complement(join(composition(join(sk1,complement(one)),sk1),sk1)) = complement(composition(top,sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(composition(join(sk1,complement(one)),sk1),sk1)))),bind(Y,$fot(complement(join(sk1,composition(join(sk1,complement(one)),sk1))))),bind(Z,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_4688,plain,
( complement(join(sk1,composition(join(sk1,complement(one)),sk1))) != complement(composition(top,sk1))
| complement(join(composition(join(sk1,complement(one)),sk1),sk1)) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(composition(join(sk1,complement(one)),sk1),sk1)),complement(join(sk1,composition(join(sk1,complement(one)),sk1)))) )],[refute_0_4686,refute_0_4687]) ).
cnf(refute_0_4689,plain,
complement(join(composition(join(sk1,complement(one)),sk1),sk1)) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(join(sk1,complement(one)),sk1))),complement(composition(top,sk1))) )],[refute_0_4685,refute_0_4688]) ).
cnf(refute_0_4690,plain,
meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) = meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))))]]) ).
cnf(refute_0_4691,plain,
( complement(join(composition(join(sk1,complement(one)),sk1),sk1)) != complement(composition(top,sk1))
| meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) != meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1)))
| meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) = meet(one,complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))),meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1)))) ),[1,1],$fot(complement(composition(top,sk1)))]]) ).
cnf(refute_0_4692,plain,
( complement(join(composition(join(sk1,complement(one)),sk1),sk1)) != complement(composition(top,sk1))
| meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) = meet(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))),meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1)))) )],[refute_0_4690,refute_0_4691]) ).
cnf(refute_0_4693,plain,
meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) = meet(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(complement(join(composition(join(sk1,complement(one)),sk1),sk1)),complement(composition(top,sk1))) )],[refute_0_4689,refute_0_4692]) ).
cnf(refute_0_4694,plain,
meet(complement(X_31),meet(one,complement(sk1))) = complement(join(X_31,complement(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4695,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(complement(X_31),meet(one,complement(sk1))) != complement(join(X_31,complement(meet(one,complement(sk1)))))
| meet(complement(X_31),meet(one,complement(sk1))) = complement(join(X_31,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),meet(one,complement(sk1))),complement(join(X_31,complement(meet(one,complement(sk1)))))) ),[1,0,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_4696,plain,
( meet(complement(X_31),meet(one,complement(sk1))) != complement(join(X_31,complement(meet(one,complement(sk1)))))
| meet(complement(X_31),meet(one,complement(sk1))) = complement(join(X_31,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_4627,refute_0_4695]) ).
cnf(refute_0_4697,plain,
meet(complement(X_31),meet(one,complement(sk1))) = complement(join(X_31,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(complement(X_31),meet(one,complement(sk1))),complement(join(X_31,complement(meet(one,complement(sk1)))))) )],[refute_0_4694,refute_0_4696]) ).
cnf(refute_0_4698,plain,
meet(X_506,one) = join(meet(one,meet(X_506,one)),meet(complement(one),meet(X_506,one))),
inference(subst,[],[refute_0_2286:[bind(X_100,$fot(one)),bind(X_99,$fot(meet(X_506,one)))]]) ).
cnf(refute_0_4699,plain,
complement(join(converse(complement(converse(one))),X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(join(one,join(converse(complement(converse(one))),X_51))))))),
inference(subst,[],[refute_0_2421:[bind(B,$fot(join(converse(complement(converse(one))),X_51)))]]) ).
cnf(refute_0_4700,plain,
join(one,join(converse(complement(converse(one))),X_51)) = top,
inference(subst,[],[refute_0_1149:[bind(X_49,$fot(one))]]) ).
cnf(refute_0_4701,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(join(one,join(converse(complement(converse(one))),X_51)))))))
| join(one,join(converse(complement(converse(one))),X_51)) != top
| complement(join(converse(complement(converse(one))),X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(join(one,join(converse(complement(converse(one))),X_51)))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_4702,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(join(one,join(converse(complement(converse(one))),X_51)))))))
| complement(join(converse(complement(converse(one))),X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(one))),X_51)),top) )],[refute_0_4700,refute_0_4701]) ).
cnf(refute_0_4703,plain,
complement(join(converse(complement(converse(one))),X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(join(one,join(converse(complement(converse(one))),X_51)))))))) )],[refute_0_4699,refute_0_4702]) ).
cnf(refute_0_4704,plain,
complement(join(complement(one),X_51)) = meet(one,complement(X_51)),
inference(subst,[],[refute_0_2234:[bind(A,$fot(one)),bind(X_31,$fot(X_51))]]) ).
cnf(refute_0_4705,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_4706,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4707,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_4705,refute_0_4706]) ).
cnf(refute_0_4708,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_4707]) ).
cnf(refute_0_4709,plain,
converse(complement(converse(one))) = converse(complement(converse(one))),
introduced(tautology,[refl,[$fot(converse(complement(converse(one))))]]) ).
cnf(refute_0_4710,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) != converse(complement(converse(one)))
| converse(complement(converse(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4711,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) )],[refute_0_4709,refute_0_4710]) ).
cnf(refute_0_4712,plain,
converse(complement(converse(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_4708,refute_0_4711]) ).
cnf(refute_0_4713,plain,
( converse(complement(converse(one))) != converse(complement(one))
| converse(complement(one)) != complement(one)
| converse(complement(converse(one))) = complement(one) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(complement(converse(one))))),bind(Y,$fot(converse(complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_4714,plain,
( converse(complement(one)) != complement(one)
| converse(complement(converse(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(one))) )],[refute_0_4712,refute_0_4713]) ).
cnf(refute_0_4715,plain,
converse(complement(converse(one))) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_3599,refute_0_4714]) ).
cnf(refute_0_4716,plain,
join(converse(complement(converse(one))),X_51) = join(converse(complement(converse(one))),X_51),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(one))),X_51))]]) ).
cnf(refute_0_4717,plain,
( converse(complement(converse(one))) != complement(one)
| join(converse(complement(converse(one))),X_51) != join(converse(complement(converse(one))),X_51)
| join(converse(complement(converse(one))),X_51) = join(complement(one),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(one))),X_51),join(converse(complement(converse(one))),X_51)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4718,plain,
( converse(complement(converse(one))) != complement(one)
| join(converse(complement(converse(one))),X_51) = join(complement(one),X_51) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),X_51),join(converse(complement(converse(one))),X_51)) )],[refute_0_4716,refute_0_4717]) ).
cnf(refute_0_4719,plain,
join(converse(complement(converse(one))),X_51) = join(complement(one),X_51),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),complement(one)) )],[refute_0_4715,refute_0_4718]) ).
cnf(refute_0_4720,plain,
complement(join(converse(complement(converse(one))),X_51)) = complement(join(converse(complement(converse(one))),X_51)),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(converse(one))),X_51)))]]) ).
cnf(refute_0_4721,plain,
( complement(join(converse(complement(converse(one))),X_51)) != complement(join(converse(complement(converse(one))),X_51))
| join(converse(complement(converse(one))),X_51) != join(complement(one),X_51)
| complement(join(converse(complement(converse(one))),X_51)) = complement(join(complement(one),X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),complement(join(converse(complement(converse(one))),X_51))) ),[1,0],$fot(join(complement(one),X_51))]]) ).
cnf(refute_0_4722,plain,
( join(converse(complement(converse(one))),X_51) != join(complement(one),X_51)
| complement(join(converse(complement(converse(one))),X_51)) = complement(join(complement(one),X_51)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),complement(join(converse(complement(converse(one))),X_51))) )],[refute_0_4720,refute_0_4721]) ).
cnf(refute_0_4723,plain,
complement(join(converse(complement(converse(one))),X_51)) = complement(join(complement(one),X_51)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),X_51),join(complement(one),X_51)) )],[refute_0_4719,refute_0_4722]) ).
cnf(refute_0_4724,plain,
( complement(join(complement(one),X_51)) != meet(one,complement(X_51))
| complement(join(converse(complement(converse(one))),X_51)) != complement(join(complement(one),X_51))
| complement(join(converse(complement(converse(one))),X_51)) = meet(one,complement(X_51)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(converse(complement(converse(one))),X_51)))),bind(Y,$fot(complement(join(complement(one),X_51)))),bind(Z,$fot(meet(one,complement(X_51))))]]) ).
cnf(refute_0_4725,plain,
( complement(join(complement(one),X_51)) != meet(one,complement(X_51))
| complement(join(converse(complement(converse(one))),X_51)) = meet(one,complement(X_51)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),complement(join(complement(one),X_51))) )],[refute_0_4723,refute_0_4724]) ).
cnf(refute_0_4726,plain,
complement(join(converse(complement(converse(one))),X_51)) = meet(one,complement(X_51)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X_51)),meet(one,complement(X_51))) )],[refute_0_4704,refute_0_4725]) ).
cnf(refute_0_4727,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))
| complement(join(converse(complement(converse(one))),X_51)) != meet(one,complement(X_51))
| meet(one,complement(X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))) ),[0],$fot(meet(one,complement(X_51)))]]) ).
cnf(refute_0_4728,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))
| meet(one,complement(X_51)) = meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(one,complement(X_51))) )],[refute_0_4726,refute_0_4727]) ).
cnf(refute_0_4729,plain,
meet(one,complement(join(converse(complement(converse(one))),X_51))) = meet(one,complement(join(converse(complement(converse(one))),X_51))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(converse(complement(converse(one))),X_51))))]]) ).
cnf(refute_0_4730,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(one,complement(X_51))
| meet(one,complement(join(converse(complement(converse(one))),X_51))) != meet(one,complement(join(converse(complement(converse(one))),X_51)))
| meet(one,complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(converse(complement(converse(one))),X_51))),meet(one,complement(join(converse(complement(converse(one))),X_51)))) ),[1,1],$fot(meet(one,complement(X_51)))]]) ).
cnf(refute_0_4731,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(one,complement(X_51))
| meet(one,complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(converse(complement(converse(one))),X_51))),meet(one,complement(join(converse(complement(converse(one))),X_51)))) )],[refute_0_4729,refute_0_4730]) ).
cnf(refute_0_4732,plain,
meet(one,complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(one,complement(X_51))) )],[refute_0_4726,refute_0_4731]) ).
cnf(refute_0_4733,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))))]]) ).
cnf(refute_0_4734,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) != meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51)))
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,complement(join(converse(complement(converse(one))),X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4735,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,complement(join(converse(complement(converse(one))),X_51))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51)))) )],[refute_0_4733,refute_0_4734]) ).
cnf(refute_0_4736,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,complement(join(converse(complement(converse(one))),X_51))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_1683,refute_0_4735]) ).
cnf(refute_0_4737,plain,
( meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) != meet(one,complement(join(converse(complement(converse(one))),X_51)))
| meet(one,complement(join(converse(complement(converse(one))),X_51))) != meet(one,meet(one,complement(X_51)))
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))))),bind(Y,$fot(meet(one,complement(join(converse(complement(converse(one))),X_51))))),bind(Z,$fot(meet(one,meet(one,complement(X_51)))))]]) ).
cnf(refute_0_4738,plain,
( meet(one,complement(join(converse(complement(converse(one))),X_51))) != meet(one,meet(one,complement(X_51)))
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),meet(one,complement(join(converse(complement(converse(one))),X_51)))) )],[refute_0_4736,refute_0_4737]) ).
cnf(refute_0_4739,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) = meet(one,meet(one,complement(X_51))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(converse(complement(converse(one))),X_51))),meet(one,meet(one,complement(X_51)))) )],[refute_0_4732,refute_0_4738]) ).
cnf(refute_0_4740,plain,
meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) = meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),
inference(subst,[],[refute_0_731:[bind(X_26,$fot(converse(join(one,complement(converse(top)))))),bind(X_27,$fot(complement(join(converse(complement(converse(one))),X_51))))]]) ).
cnf(refute_0_4741,plain,
( meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) != meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51)))
| meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) != meet(one,meet(one,complement(X_51)))
| meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) = meet(one,meet(one,complement(X_51))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))))),bind(Z,$fot(meet(one,meet(one,complement(X_51)))))]]) ).
cnf(refute_0_4742,plain,
( meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))) != meet(one,meet(one,complement(X_51)))
| meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) = meet(one,meet(one,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))),meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51)))) )],[refute_0_4740,refute_0_4741]) ).
cnf(refute_0_4743,plain,
meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) = meet(one,meet(one,complement(X_51))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(converse(complement(converse(one))),X_51))),meet(one,meet(one,complement(X_51)))) )],[refute_0_4739,refute_0_4742]) ).
cnf(refute_0_4744,plain,
( meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))) != meet(one,meet(one,complement(X_51)))
| meet(one,complement(X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))
| meet(one,complement(X_51)) = meet(one,meet(one,complement(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))) ),[1],$fot(meet(one,meet(one,complement(X_51))))]]) ).
cnf(refute_0_4745,plain,
( meet(one,complement(X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))
| meet(one,complement(X_51)) = meet(one,meet(one,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top))))),meet(one,meet(one,complement(X_51)))) )],[refute_0_4743,refute_0_4744]) ).
cnf(refute_0_4746,plain,
( complement(join(converse(complement(converse(one))),X_51)) != meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))
| meet(one,complement(X_51)) = meet(one,meet(one,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))) )],[refute_0_4728,refute_0_4745]) ).
cnf(refute_0_4747,plain,
meet(one,complement(X_51)) = meet(one,meet(one,complement(X_51))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(one))),X_51)),meet(complement(join(converse(complement(converse(one))),X_51)),converse(join(one,complement(converse(top)))))) )],[refute_0_4703,refute_0_4746]) ).
cnf(refute_0_4748,plain,
meet(one,complement(complement(B))) = meet(one,meet(one,complement(complement(B)))),
inference(subst,[],[refute_0_4747:[bind(X_51,$fot(complement(B)))]]) ).
cnf(refute_0_4749,plain,
( complement(complement(B)) != B
| meet(one,complement(complement(B))) != meet(one,meet(one,complement(complement(B))))
| meet(one,complement(complement(B))) = meet(one,meet(one,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,meet(one,complement(complement(B))))) ),[1,1,1],$fot(B)]]) ).
cnf(refute_0_4750,plain,
( meet(one,complement(complement(B))) != meet(one,meet(one,complement(complement(B))))
| meet(one,complement(complement(B))) = meet(one,meet(one,B)) ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_4749]) ).
cnf(refute_0_4751,plain,
meet(one,complement(complement(B))) = meet(one,meet(one,B)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,meet(one,complement(complement(B))))) )],[refute_0_4748,refute_0_4750]) ).
cnf(refute_0_4752,plain,
meet(one,complement(complement(B))) = meet(one,complement(complement(B))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(B))))]]) ).
cnf(refute_0_4753,plain,
( complement(complement(B)) != B
| meet(one,complement(complement(B))) != meet(one,complement(complement(B)))
| meet(one,complement(complement(B))) = meet(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,complement(complement(B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_4754,plain,
( complement(complement(B)) != B
| meet(one,complement(complement(B))) = meet(one,B) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,complement(complement(B)))) )],[refute_0_4752,refute_0_4753]) ).
cnf(refute_0_4755,plain,
meet(one,complement(complement(B))) = meet(one,B),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_710,refute_0_4754]) ).
cnf(refute_0_4756,plain,
( meet(one,complement(complement(B))) != meet(one,B)
| meet(one,complement(complement(B))) != meet(one,meet(one,B))
| meet(one,B) = meet(one,meet(one,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,meet(one,B))) ),[0],$fot(meet(one,B))]]) ).
cnf(refute_0_4757,plain,
( meet(one,complement(complement(B))) != meet(one,meet(one,B))
| meet(one,B) = meet(one,meet(one,B)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,B)) )],[refute_0_4755,refute_0_4756]) ).
cnf(refute_0_4758,plain,
meet(one,B) = meet(one,meet(one,B)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(B))),meet(one,meet(one,B))) )],[refute_0_4751,refute_0_4757]) ).
cnf(refute_0_4759,plain,
meet(one,X_171) = meet(one,meet(one,X_171)),
inference(subst,[],[refute_0_4758:[bind(B,$fot(X_171))]]) ).
cnf(refute_0_4760,plain,
meet(X_171,one) = meet(one,X_171),
inference(subst,[],[refute_0_232:[bind(X_26,$fot(X_171)),bind(X_27,$fot(one))]]) ).
cnf(refute_0_4761,plain,
( meet(X_171,one) != meet(one,X_171)
| meet(one,X_171) = meet(X_171,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_171,one))),bind(Y,$fot(meet(one,X_171)))]]) ).
cnf(refute_0_4762,plain,
meet(one,X_171) = meet(X_171,one),
inference(resolve,[$cnf( $equal(meet(X_171,one),meet(one,X_171)) )],[refute_0_4760,refute_0_4761]) ).
cnf(refute_0_4763,plain,
( meet(one,X_171) != meet(X_171,one)
| meet(one,X_171) != meet(one,meet(one,X_171))
| meet(one,X_171) = meet(one,meet(X_171,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_171),meet(one,meet(one,X_171))) ),[1,1],$fot(meet(X_171,one))]]) ).
cnf(refute_0_4764,plain,
( meet(one,X_171) != meet(one,meet(one,X_171))
| meet(one,X_171) = meet(one,meet(X_171,one)) ),
inference(resolve,[$cnf( $equal(meet(one,X_171),meet(X_171,one)) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
meet(one,X_171) = meet(one,meet(X_171,one)),
inference(resolve,[$cnf( $equal(meet(one,X_171),meet(one,meet(one,X_171))) )],[refute_0_4759,refute_0_4764]) ).
cnf(refute_0_4766,plain,
meet(one,X_506) = meet(one,meet(X_506,one)),
inference(subst,[],[refute_0_4765:[bind(X_171,$fot(X_506))]]) ).
cnf(refute_0_4767,plain,
( meet(one,X_506) != meet(one,meet(X_506,one))
| meet(one,meet(X_506,one)) = meet(one,X_506) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,X_506))),bind(Y,$fot(meet(one,meet(X_506,one))))]]) ).
cnf(refute_0_4768,plain,
meet(one,meet(X_506,one)) = meet(one,X_506),
inference(resolve,[$cnf( $equal(meet(one,X_506),meet(one,meet(X_506,one))) )],[refute_0_4766,refute_0_4767]) ).
cnf(refute_0_4769,plain,
( meet(X_506,one) != join(meet(one,meet(X_506,one)),meet(complement(one),meet(X_506,one)))
| meet(one,meet(X_506,one)) != meet(one,X_506)
| meet(X_506,one) = join(meet(one,X_506),meet(complement(one),meet(X_506,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_506,one),join(meet(one,meet(X_506,one)),meet(complement(one),meet(X_506,one)))) ),[1,0],$fot(meet(one,X_506))]]) ).
cnf(refute_0_4770,plain,
( meet(X_506,one) != join(meet(one,meet(X_506,one)),meet(complement(one),meet(X_506,one)))
| meet(X_506,one) = join(meet(one,X_506),meet(complement(one),meet(X_506,one))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_506,one)),meet(one,X_506)) )],[refute_0_4768,refute_0_4769]) ).
cnf(refute_0_4771,plain,
meet(X_506,one) = join(meet(one,X_506),meet(complement(one),meet(X_506,one))),
inference(resolve,[$cnf( $equal(meet(X_506,one),join(meet(one,meet(X_506,one)),meet(complement(one),meet(X_506,one)))) )],[refute_0_4698,refute_0_4770]) ).
cnf(refute_0_4772,plain,
join(zero,meet(one,X_506)) = meet(one,X_506),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(one,X_506)))]]) ).
cnf(refute_0_4773,plain,
join(meet(one,X_506),zero) = join(zero,meet(one,X_506)),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(meet(one,X_506)))]]) ).
cnf(refute_0_4774,plain,
( join(meet(one,X_506),zero) != join(zero,meet(one,X_506))
| join(zero,meet(one,X_506)) != meet(one,X_506)
| join(meet(one,X_506),zero) = meet(one,X_506) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(one,X_506),zero))),bind(Y,$fot(join(zero,meet(one,X_506)))),bind(Z,$fot(meet(one,X_506)))]]) ).
cnf(refute_0_4775,plain,
( join(zero,meet(one,X_506)) != meet(one,X_506)
| join(meet(one,X_506),zero) = meet(one,X_506) ),
inference(resolve,[$cnf( $equal(join(meet(one,X_506),zero),join(zero,meet(one,X_506))) )],[refute_0_4773,refute_0_4774]) ).
cnf(refute_0_4776,plain,
join(meet(one,X_506),zero) = meet(one,X_506),
inference(resolve,[$cnf( $equal(join(zero,meet(one,X_506)),meet(one,X_506)) )],[refute_0_4772,refute_0_4775]) ).
cnf(refute_0_4777,plain,
complement(join(one,complement(meet(X_427,one)))) = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))),
inference(subst,[],[refute_0_2706:[bind(X_177,$fot(complement(meet(X_427,one))))]]) ).
cnf(refute_0_4778,plain,
join(one,complement(meet(X_427,one))) = top,
inference(subst,[],[refute_0_4011:[bind(X_428,$fot(one))]]) ).
cnf(refute_0_4779,plain,
( complement(join(one,complement(meet(X_427,one)))) != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| join(one,complement(meet(X_427,one))) != top
| complement(top) = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(meet(X_427,one)))),meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4780,plain,
( complement(join(one,complement(meet(X_427,one)))) != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| complement(top) = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(X_427,one))),top) )],[refute_0_4778,refute_0_4779]) ).
cnf(refute_0_4781,plain,
complement(top) = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(X_427,one)))),meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) )],[refute_0_4777,refute_0_4780]) ).
cnf(refute_0_4782,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| complement(top) != zero
| zero = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_4783,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| zero = meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4782]) ).
cnf(refute_0_4784,plain,
complement(join(one,complement(meet(X_427,one)))) = meet(complement(one),meet(X_427,one)),
inference(subst,[],[refute_0_638:[bind(B,$fot(meet(X_427,one))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_4785,plain,
meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) = complement(join(one,complement(meet(X_427,one)))),
inference(subst,[],[refute_0_2929:[bind(X_177,$fot(complement(meet(X_427,one))))]]) ).
cnf(refute_0_4786,plain,
( complement(join(one,complement(meet(X_427,one)))) != meet(complement(one),meet(X_427,one))
| meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) != complement(join(one,complement(meet(X_427,one))))
| meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) = meet(complement(one),meet(X_427,one)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))))),bind(Y,$fot(complement(join(one,complement(meet(X_427,one)))))),bind(Z,$fot(meet(complement(one),meet(X_427,one))))]]) ).
cnf(refute_0_4787,plain,
( complement(join(one,complement(meet(X_427,one)))) != meet(complement(one),meet(X_427,one))
| meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) = meet(complement(one),meet(X_427,one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))),complement(join(one,complement(meet(X_427,one))))) )],[refute_0_4785,refute_0_4786]) ).
cnf(refute_0_4788,plain,
meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) = meet(complement(one),meet(X_427,one)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(X_427,one)))),meet(complement(one),meet(X_427,one))) )],[refute_0_4784,refute_0_4787]) ).
cnf(refute_0_4789,plain,
( meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))) != meet(complement(one),meet(X_427,one))
| zero != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| zero = meet(complement(one),meet(X_427,one)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) ),[1],$fot(meet(complement(one),meet(X_427,one)))]]) ).
cnf(refute_0_4790,plain,
( zero != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| zero = meet(complement(one),meet(X_427,one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one)))),meet(complement(one),meet(X_427,one))) )],[refute_0_4788,refute_0_4789]) ).
cnf(refute_0_4791,plain,
( complement(top) != meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))
| zero = meet(complement(one),meet(X_427,one)) ),
inference(resolve,[$cnf( $equal(zero,meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) )],[refute_0_4783,refute_0_4790]) ).
cnf(refute_0_4792,plain,
zero = meet(complement(one),meet(X_427,one)),
inference(resolve,[$cnf( $equal(complement(top),meet(complement(join(one,complement(meet(X_427,one)))),join(one,complement(join(complement(meet(X_427,one)),one))))) )],[refute_0_4781,refute_0_4791]) ).
cnf(refute_0_4793,plain,
( zero != meet(complement(one),meet(X_427,one))
| meet(complement(one),meet(X_427,one)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),meet(X_427,one))))]]) ).
cnf(refute_0_4794,plain,
meet(complement(one),meet(X_427,one)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),meet(X_427,one))) )],[refute_0_4792,refute_0_4793]) ).
cnf(refute_0_4795,plain,
meet(complement(one),meet(X_506,one)) = zero,
inference(subst,[],[refute_0_4794:[bind(X_427,$fot(X_506))]]) ).
cnf(refute_0_4796,plain,
join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = join(meet(one,X_506),meet(complement(one),meet(X_506,one))),
introduced(tautology,[refl,[$fot(join(meet(one,X_506),meet(complement(one),meet(X_506,one))))]]) ).
cnf(refute_0_4797,plain,
( join(meet(one,X_506),meet(complement(one),meet(X_506,one))) != join(meet(one,X_506),meet(complement(one),meet(X_506,one)))
| meet(complement(one),meet(X_506,one)) != zero
| join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = join(meet(one,X_506),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,X_506),meet(complement(one),meet(X_506,one))),join(meet(one,X_506),meet(complement(one),meet(X_506,one)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4798,plain,
( meet(complement(one),meet(X_506,one)) != zero
| join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = join(meet(one,X_506),zero) ),
inference(resolve,[$cnf( $equal(join(meet(one,X_506),meet(complement(one),meet(X_506,one))),join(meet(one,X_506),meet(complement(one),meet(X_506,one)))) )],[refute_0_4796,refute_0_4797]) ).
cnf(refute_0_4799,plain,
join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = join(meet(one,X_506),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(X_506,one)),zero) )],[refute_0_4795,refute_0_4798]) ).
cnf(refute_0_4800,plain,
( join(meet(one,X_506),meet(complement(one),meet(X_506,one))) != join(meet(one,X_506),zero)
| join(meet(one,X_506),zero) != meet(one,X_506)
| join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = meet(one,X_506) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(one,X_506),meet(complement(one),meet(X_506,one))))),bind(Y,$fot(join(meet(one,X_506),zero))),bind(Z,$fot(meet(one,X_506)))]]) ).
cnf(refute_0_4801,plain,
( join(meet(one,X_506),zero) != meet(one,X_506)
| join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = meet(one,X_506) ),
inference(resolve,[$cnf( $equal(join(meet(one,X_506),meet(complement(one),meet(X_506,one))),join(meet(one,X_506),zero)) )],[refute_0_4799,refute_0_4800]) ).
cnf(refute_0_4802,plain,
join(meet(one,X_506),meet(complement(one),meet(X_506,one))) = meet(one,X_506),
inference(resolve,[$cnf( $equal(join(meet(one,X_506),zero),meet(one,X_506)) )],[refute_0_4776,refute_0_4801]) ).
cnf(refute_0_4803,plain,
( join(meet(one,X_506),meet(complement(one),meet(X_506,one))) != meet(one,X_506)
| meet(X_506,one) != join(meet(one,X_506),meet(complement(one),meet(X_506,one)))
| meet(X_506,one) = meet(one,X_506) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_506,one),join(meet(one,X_506),meet(complement(one),meet(X_506,one)))) ),[1],$fot(meet(one,X_506))]]) ).
cnf(refute_0_4804,plain,
( meet(X_506,one) != join(meet(one,X_506),meet(complement(one),meet(X_506,one)))
| meet(X_506,one) = meet(one,X_506) ),
inference(resolve,[$cnf( $equal(join(meet(one,X_506),meet(complement(one),meet(X_506,one))),meet(one,X_506)) )],[refute_0_4802,refute_0_4803]) ).
cnf(refute_0_4805,plain,
meet(X_506,one) = meet(one,X_506),
inference(resolve,[$cnf( $equal(meet(X_506,one),join(meet(one,X_506),meet(complement(one),meet(X_506,one)))) )],[refute_0_4771,refute_0_4804]) ).
cnf(refute_0_4806,plain,
meet(complement(join(X_31,sk1)),one) = meet(one,complement(join(X_31,sk1))),
inference(subst,[],[refute_0_4805:[bind(X_506,$fot(complement(join(X_31,sk1))))]]) ).
cnf(refute_0_4807,plain,
meet(complement(join(A,B)),X_599) = complement(join(join(A,B),complement(X_599))),
inference(subst,[],[refute_0_282:[bind(B,$fot(X_599)),bind(X_31,$fot(join(A,B)))]]) ).
cnf(refute_0_4808,plain,
join(A,join(B,complement(X_599))) = join(join(A,B),complement(X_599)),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(complement(X_599)))]]) ).
cnf(refute_0_4809,plain,
( join(A,join(B,complement(X_599))) != join(join(A,B),complement(X_599))
| join(join(A,B),complement(X_599)) = join(A,join(B,complement(X_599))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,complement(X_599))))),bind(Y,$fot(join(join(A,B),complement(X_599))))]]) ).
cnf(refute_0_4810,plain,
join(join(A,B),complement(X_599)) = join(A,join(B,complement(X_599))),
inference(resolve,[$cnf( $equal(join(A,join(B,complement(X_599))),join(join(A,B),complement(X_599))) )],[refute_0_4808,refute_0_4809]) ).
cnf(refute_0_4811,plain,
( join(join(A,B),complement(X_599)) != join(A,join(B,complement(X_599)))
| meet(complement(join(A,B)),X_599) != complement(join(join(A,B),complement(X_599)))
| meet(complement(join(A,B)),X_599) = complement(join(A,join(B,complement(X_599)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(A,B)),X_599),complement(join(join(A,B),complement(X_599)))) ),[1,0],$fot(join(A,join(B,complement(X_599))))]]) ).
cnf(refute_0_4812,plain,
( meet(complement(join(A,B)),X_599) != complement(join(join(A,B),complement(X_599)))
| meet(complement(join(A,B)),X_599) = complement(join(A,join(B,complement(X_599)))) ),
inference(resolve,[$cnf( $equal(join(join(A,B),complement(X_599)),join(A,join(B,complement(X_599)))) )],[refute_0_4810,refute_0_4811]) ).
cnf(refute_0_4813,plain,
meet(complement(join(A,B)),X_599) = complement(join(A,join(B,complement(X_599)))),
inference(resolve,[$cnf( $equal(meet(complement(join(A,B)),X_599),complement(join(join(A,B),complement(X_599)))) )],[refute_0_4807,refute_0_4812]) ).
cnf(refute_0_4814,plain,
( meet(complement(join(A,B)),X_599) != complement(join(A,join(B,complement(X_599))))
| complement(join(A,join(B,complement(X_599)))) = meet(complement(join(A,B)),X_599) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(join(A,B)),X_599))),bind(Y,$fot(complement(join(A,join(B,complement(X_599))))))]]) ).
cnf(refute_0_4815,plain,
complement(join(A,join(B,complement(X_599)))) = meet(complement(join(A,B)),X_599),
inference(resolve,[$cnf( $equal(meet(complement(join(A,B)),X_599),complement(join(A,join(B,complement(X_599))))) )],[refute_0_4813,refute_0_4814]) ).
cnf(refute_0_4816,plain,
complement(join(X_31,join(sk1,complement(one)))) = meet(complement(join(X_31,sk1)),one),
inference(subst,[],[refute_0_4815:[bind(A,$fot(X_31)),bind(B,$fot(sk1)),bind(X_599,$fot(one))]]) ).
cnf(refute_0_4817,plain,
( complement(join(X_31,join(sk1,complement(one)))) != meet(complement(join(X_31,sk1)),one)
| meet(complement(join(X_31,sk1)),one) != meet(one,complement(join(X_31,sk1)))
| complement(join(X_31,join(sk1,complement(one)))) = meet(one,complement(join(X_31,sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(X_31,join(sk1,complement(one)))))),bind(Y,$fot(meet(complement(join(X_31,sk1)),one))),bind(Z,$fot(meet(one,complement(join(X_31,sk1)))))]]) ).
cnf(refute_0_4818,plain,
( meet(complement(join(X_31,sk1)),one) != meet(one,complement(join(X_31,sk1)))
| complement(join(X_31,join(sk1,complement(one)))) = meet(one,complement(join(X_31,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(X_31,join(sk1,complement(one)))),meet(complement(join(X_31,sk1)),one)) )],[refute_0_4816,refute_0_4817]) ).
cnf(refute_0_4819,plain,
complement(join(X_31,join(sk1,complement(one)))) = meet(one,complement(join(X_31,sk1))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_31,sk1)),one),meet(one,complement(join(X_31,sk1)))) )],[refute_0_4806,refute_0_4818]) ).
cnf(refute_0_4820,plain,
( complement(join(X_31,join(sk1,complement(one)))) != meet(one,complement(join(X_31,sk1)))
| meet(complement(X_31),meet(one,complement(sk1))) != complement(join(X_31,join(sk1,complement(one))))
| meet(complement(X_31),meet(one,complement(sk1))) = meet(one,complement(join(X_31,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),meet(one,complement(sk1))),complement(join(X_31,join(sk1,complement(one))))) ),[1],$fot(meet(one,complement(join(X_31,sk1))))]]) ).
cnf(refute_0_4821,plain,
( meet(complement(X_31),meet(one,complement(sk1))) != complement(join(X_31,join(sk1,complement(one))))
| meet(complement(X_31),meet(one,complement(sk1))) = meet(one,complement(join(X_31,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(X_31,join(sk1,complement(one)))),meet(one,complement(join(X_31,sk1)))) )],[refute_0_4819,refute_0_4820]) ).
cnf(refute_0_4822,plain,
meet(complement(X_31),meet(one,complement(sk1))) = meet(one,complement(join(X_31,sk1))),
inference(resolve,[$cnf( $equal(meet(complement(X_31),meet(one,complement(sk1))),complement(join(X_31,join(sk1,complement(one))))) )],[refute_0_4697,refute_0_4821]) ).
cnf(refute_0_4823,plain,
meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))),
inference(subst,[],[refute_0_4822:[bind(X_31,$fot(composition(join(sk1,complement(one)),sk1)))]]) ).
cnf(refute_0_4824,plain,
( meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1)))
| meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) != meet(one,complement(composition(top,sk1)))
| meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))))),bind(Y,$fot(meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))))),bind(Z,$fot(meet(one,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_4825,plain,
( meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))) != meet(one,complement(composition(top,sk1)))
| meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1)))) )],[refute_0_4823,refute_0_4824]) ).
cnf(refute_0_4826,plain,
meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) = meet(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(composition(join(sk1,complement(one)),sk1),sk1))),meet(one,complement(composition(top,sk1)))) )],[refute_0_4693,refute_0_4825]) ).
cnf(refute_0_4827,plain,
( meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(one,complement(composition(top,sk1)))
| meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(one,complement(sk1))
| meet(one,complement(composition(top,sk1))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(one,complement(sk1))) ),[0],$fot(meet(one,complement(composition(top,sk1))))]]) ).
cnf(refute_0_4828,plain,
( meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))) != meet(one,complement(sk1))
| meet(one,complement(composition(top,sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(one,complement(composition(top,sk1)))) )],[refute_0_4826,refute_0_4827]) ).
cnf(refute_0_4829,plain,
meet(one,complement(composition(top,sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(composition(join(sk1,complement(one)),sk1)),meet(one,complement(sk1))),meet(one,complement(sk1))) )],[refute_0_4635,refute_0_4828]) ).
cnf(refute_0_4830,plain,
complement(join(complement(one),composition(top,sk1))) = meet(one,complement(composition(top,sk1))),
inference(subst,[],[refute_0_2234:[bind(A,$fot(one)),bind(X_31,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4831,plain,
( complement(join(complement(one),composition(top,sk1))) != meet(one,complement(composition(top,sk1)))
| meet(one,complement(composition(top,sk1))) != meet(one,complement(sk1))
| complement(join(complement(one),composition(top,sk1))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(one),composition(top,sk1))))),bind(Y,$fot(meet(one,complement(composition(top,sk1))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4832,plain,
( meet(one,complement(composition(top,sk1))) != meet(one,complement(sk1))
| complement(join(complement(one),composition(top,sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),composition(top,sk1))),meet(one,complement(composition(top,sk1)))) )],[refute_0_4830,refute_0_4831]) ).
cnf(refute_0_4833,plain,
complement(join(complement(one),composition(top,sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(top,sk1))),meet(one,complement(sk1))) )],[refute_0_4829,refute_0_4832]) ).
cnf(refute_0_4834,plain,
composition(sk1,join(one,join(sk1,complement(one)))) = composition(sk1,join(one,join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(composition(sk1,join(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4835,plain,
( composition(sk1,join(one,join(sk1,complement(one)))) != composition(sk1,join(one,join(sk1,complement(one))))
| join(one,join(sk1,complement(one))) != top
| composition(sk1,join(one,join(sk1,complement(one)))) = composition(sk1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,join(one,join(sk1,complement(one)))),composition(sk1,join(one,join(sk1,complement(one))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4836,plain,
( join(one,join(sk1,complement(one))) != top
| composition(sk1,join(one,join(sk1,complement(one)))) = composition(sk1,top) ),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,join(sk1,complement(one)))),composition(sk1,join(one,join(sk1,complement(one))))) )],[refute_0_4834,refute_0_4835]) ).
cnf(refute_0_4837,plain,
composition(sk1,join(one,join(sk1,complement(one)))) = composition(sk1,top),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(one))),top) )],[refute_0_4658,refute_0_4836]) ).
cnf(refute_0_4838,plain,
converse(composition(sk1,join(one,join(sk1,complement(one))))) = converse(composition(sk1,join(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(converse(composition(sk1,join(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4839,plain,
( composition(sk1,join(one,join(sk1,complement(one)))) != composition(sk1,top)
| converse(composition(sk1,join(one,join(sk1,complement(one))))) != converse(composition(sk1,join(one,join(sk1,complement(one)))))
| converse(composition(sk1,join(one,join(sk1,complement(one))))) = converse(composition(sk1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(sk1,join(one,join(sk1,complement(one))))),converse(composition(sk1,join(one,join(sk1,complement(one)))))) ),[1,0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_4840,plain,
( composition(sk1,join(one,join(sk1,complement(one)))) != composition(sk1,top)
| converse(composition(sk1,join(one,join(sk1,complement(one))))) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(sk1,join(one,join(sk1,complement(one))))),converse(composition(sk1,join(one,join(sk1,complement(one)))))) )],[refute_0_4838,refute_0_4839]) ).
cnf(refute_0_4841,plain,
converse(composition(sk1,join(one,join(sk1,complement(one))))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,join(sk1,complement(one)))),composition(sk1,top)) )],[refute_0_4837,refute_0_4840]) ).
cnf(refute_0_4842,plain,
( converse(composition(sk1,join(one,join(sk1,complement(one))))) != converse(composition(sk1,top))
| converse(composition(sk1,top)) != composition(top,sk1)
| converse(composition(sk1,join(one,join(sk1,complement(one))))) = composition(top,sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(composition(sk1,join(one,join(sk1,complement(one))))))),bind(Y,$fot(converse(composition(sk1,top)))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4843,plain,
( converse(composition(sk1,top)) != composition(top,sk1)
| converse(composition(sk1,join(one,join(sk1,complement(one))))) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(converse(composition(sk1,join(one,join(sk1,complement(one))))),converse(composition(sk1,top))) )],[refute_0_4841,refute_0_4842]) ).
cnf(refute_0_4844,plain,
converse(composition(sk1,join(one,join(sk1,complement(one))))) = composition(top,sk1),
inference(resolve,[$cnf( $equal(converse(composition(sk1,top)),composition(top,sk1)) )],[refute_0_4511,refute_0_4843]) ).
cnf(refute_0_4845,plain,
composition(join(converse(B),one),converse(A)) = join(converse(A),composition(converse(B),converse(A))),
inference(subst,[],[refute_0_1418:[bind(X_150,$fot(converse(B))),bind(X_152,$fot(converse(A)))]]) ).
cnf(refute_0_4846,plain,
( composition(converse(B),converse(A)) != converse(composition(A,B))
| composition(join(converse(B),one),converse(A)) != join(converse(A),composition(converse(B),converse(A)))
| composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),composition(converse(B),converse(A)))) ),[1,1],$fot(converse(composition(A,B)))]]) ).
cnf(refute_0_4847,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),composition(converse(B),converse(A)))
| composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(A)),converse(composition(A,B))) )],[refute_0_1249,refute_0_4846]) ).
cnf(refute_0_4848,plain,
composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),composition(converse(B),converse(A)))) )],[refute_0_4845,refute_0_4847]) ).
cnf(refute_0_4849,plain,
join(converse(one),B) = join(converse(one),B),
introduced(tautology,[refl,[$fot(join(converse(one),B))]]) ).
cnf(refute_0_4850,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_4851,plain,
( converse(one) != one
| join(converse(one),B) = join(one,B) ),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) )],[refute_0_4849,refute_0_4850]) ).
cnf(refute_0_4852,plain,
join(converse(one),B) = join(one,B),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_106,refute_0_4851]) ).
cnf(refute_0_4853,plain,
composition(A,join(converse(one),B)) = composition(A,join(converse(one),B)),
introduced(tautology,[refl,[$fot(composition(A,join(converse(one),B)))]]) ).
cnf(refute_0_4854,plain,
( composition(A,join(converse(one),B)) != composition(A,join(converse(one),B))
| join(converse(one),B) != join(one,B)
| composition(A,join(converse(one),B)) = composition(A,join(one,B)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(converse(one),B))) ),[1,1],$fot(join(one,B))]]) ).
cnf(refute_0_4855,plain,
( join(converse(one),B) != join(one,B)
| composition(A,join(converse(one),B)) = composition(A,join(one,B)) ),
inference(resolve,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(converse(one),B))) )],[refute_0_4853,refute_0_4854]) ).
cnf(refute_0_4856,plain,
composition(A,join(converse(one),B)) = composition(A,join(one,B)),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(one,B)) )],[refute_0_4852,refute_0_4855]) ).
cnf(refute_0_4857,plain,
converse(composition(A,join(converse(one),B))) = converse(composition(A,join(converse(one),B))),
introduced(tautology,[refl,[$fot(converse(composition(A,join(converse(one),B))))]]) ).
cnf(refute_0_4858,plain,
( composition(A,join(converse(one),B)) != composition(A,join(one,B))
| converse(composition(A,join(converse(one),B))) != converse(composition(A,join(converse(one),B)))
| converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(converse(one),B)))) ),[1,0],$fot(composition(A,join(one,B)))]]) ).
cnf(refute_0_4859,plain,
( composition(A,join(converse(one),B)) != composition(A,join(one,B))
| converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))) ),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(converse(one),B)))) )],[refute_0_4857,refute_0_4858]) ).
cnf(refute_0_4860,plain,
converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(one,B))) )],[refute_0_4856,refute_0_4859]) ).
cnf(refute_0_4861,plain,
converse(composition(A,join(converse(X_12),X_13))) = composition(converse(join(converse(X_12),X_13)),converse(A)),
inference(subst,[],[converse_multiplicativity_10:[bind(B,$fot(join(converse(X_12),X_13)))]]) ).
cnf(refute_0_4862,plain,
( converse(composition(A,join(converse(X_12),X_13))) != composition(converse(join(converse(X_12),X_13)),converse(A))
| converse(join(converse(X_12),X_13)) != join(X_12,converse(X_13))
| converse(composition(A,join(converse(X_12),X_13))) = composition(join(X_12,converse(X_13)),converse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,join(converse(X_12),X_13))),composition(converse(join(converse(X_12),X_13)),converse(A))) ),[1,0],$fot(join(X_12,converse(X_13)))]]) ).
cnf(refute_0_4863,plain,
( converse(composition(A,join(converse(X_12),X_13))) != composition(converse(join(converse(X_12),X_13)),converse(A))
| converse(composition(A,join(converse(X_12),X_13))) = composition(join(X_12,converse(X_13)),converse(A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_12),X_13)),join(X_12,converse(X_13))) )],[refute_0_3763,refute_0_4862]) ).
cnf(refute_0_4864,plain,
converse(composition(A,join(converse(X_12),X_13))) = composition(join(X_12,converse(X_13)),converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(X_12),X_13))),composition(converse(join(converse(X_12),X_13)),converse(A))) )],[refute_0_4861,refute_0_4863]) ).
cnf(refute_0_4865,plain,
( converse(composition(A,join(converse(X_12),X_13))) != composition(join(X_12,converse(X_13)),converse(A))
| composition(join(X_12,converse(X_13)),converse(A)) = converse(composition(A,join(converse(X_12),X_13))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,join(converse(X_12),X_13))))),bind(Y,$fot(composition(join(X_12,converse(X_13)),converse(A))))]]) ).
cnf(refute_0_4866,plain,
composition(join(X_12,converse(X_13)),converse(A)) = converse(composition(A,join(converse(X_12),X_13))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(X_12),X_13))),composition(join(X_12,converse(X_13)),converse(A))) )],[refute_0_4864,refute_0_4865]) ).
cnf(refute_0_4867,plain,
composition(join(one,converse(B)),converse(A)) = converse(composition(A,join(converse(one),B))),
inference(subst,[],[refute_0_4866:[bind(X_12,$fot(one)),bind(X_13,$fot(B))]]) ).
cnf(refute_0_4868,plain,
composition(join(converse(B),one),converse(A)) = composition(join(one,converse(B)),converse(A)),
inference(subst,[],[refute_0_4331:[bind(X_299,$fot(converse(B))),bind(X_300,$fot(converse(A)))]]) ).
cnf(refute_0_4869,plain,
( composition(join(converse(B),one),converse(A)) != composition(join(one,converse(B)),converse(A))
| composition(join(one,converse(B)),converse(A)) != converse(composition(A,join(converse(one),B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(converse(B),one),converse(A)))),bind(Y,$fot(composition(join(one,converse(B)),converse(A)))),bind(Z,$fot(converse(composition(A,join(converse(one),B)))))]]) ).
cnf(refute_0_4870,plain,
( composition(join(one,converse(B)),converse(A)) != converse(composition(A,join(converse(one),B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),composition(join(one,converse(B)),converse(A))) )],[refute_0_4868,refute_0_4869]) ).
cnf(refute_0_4871,plain,
composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(B)),converse(A)),converse(composition(A,join(converse(one),B)))) )],[refute_0_4867,refute_0_4870]) ).
cnf(refute_0_4872,plain,
( composition(join(converse(B),one),converse(A)) != converse(composition(A,join(converse(one),B)))
| converse(composition(A,join(converse(one),B))) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(join(converse(B),one),converse(A)))),bind(Y,$fot(converse(composition(A,join(converse(one),B))))),bind(Z,$fot(converse(composition(A,join(one,B)))))]]) ).
cnf(refute_0_4873,plain,
( converse(composition(A,join(converse(one),B))) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),converse(composition(A,join(converse(one),B)))) )],[refute_0_4871,refute_0_4872]) ).
cnf(refute_0_4874,plain,
composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(one,B)))) )],[refute_0_4860,refute_0_4873]) ).
cnf(refute_0_4875,plain,
( composition(join(converse(B),one),converse(A)) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = join(converse(A),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),converse(composition(A,B)))) ),[0],$fot(converse(composition(A,join(one,B))))]]) ).
cnf(refute_0_4876,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = join(converse(A),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),converse(composition(A,join(one,B)))) )],[refute_0_4874,refute_0_4875]) ).
cnf(refute_0_4877,plain,
join(converse(A),converse(composition(A,B))) = converse(join(A,composition(A,B))),
inference(subst,[],[refute_0_289:[bind(B,$fot(composition(A,B)))]]) ).
cnf(refute_0_4878,plain,
( converse(composition(A,join(one,B))) != join(converse(A),converse(composition(A,B)))
| join(converse(A),converse(composition(A,B))) != converse(join(A,composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(A,join(one,B))),converse(join(A,composition(A,B)))) ),[0],$fot(join(converse(A),converse(composition(A,B))))]]) ).
cnf(refute_0_4879,plain,
( converse(composition(A,join(one,B))) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(composition(A,B))),converse(join(A,composition(A,B)))) )],[refute_0_4877,refute_0_4878]) ).
cnf(refute_0_4880,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
inference(resolve,[$cnf( $equal(converse(composition(A,join(one,B))),join(converse(A),converse(composition(A,B)))) )],[refute_0_4876,refute_0_4879]) ).
cnf(refute_0_4881,plain,
converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),converse(composition(A,B)))) )],[refute_0_4848,refute_0_4880]) ).
cnf(refute_0_4882,plain,
( converse(composition(A,join(one,B))) != converse(join(A,composition(A,B)))
| converse(join(A,composition(A,B))) = converse(composition(A,join(one,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,join(one,B))))),bind(Y,$fot(converse(join(A,composition(A,B)))))]]) ).
cnf(refute_0_4883,plain,
converse(join(A,composition(A,B))) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(one,B))),converse(join(A,composition(A,B)))) )],[refute_0_4881,refute_0_4882]) ).
cnf(refute_0_4884,plain,
converse(join(sk1,composition(sk1,join(sk1,complement(one))))) = converse(composition(sk1,join(one,join(sk1,complement(one))))),
inference(subst,[],[refute_0_4883:[bind(A,$fot(sk1)),bind(B,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4885,plain,
join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = converse(join(sk1,composition(sk1,join(sk1,complement(one))))),
inference(subst,[],[refute_0_289:[bind(A,$fot(sk1)),bind(B,$fot(composition(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4886,plain,
( converse(join(sk1,composition(sk1,join(sk1,complement(one))))) != converse(composition(sk1,join(one,join(sk1,complement(one)))))
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) != converse(join(sk1,composition(sk1,join(sk1,complement(one)))))
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = converse(composition(sk1,join(one,join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))),bind(Y,$fot(converse(join(sk1,composition(sk1,join(sk1,complement(one))))))),bind(Z,$fot(converse(composition(sk1,join(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_4887,plain,
( converse(join(sk1,composition(sk1,join(sk1,complement(one))))) != converse(composition(sk1,join(one,join(sk1,complement(one)))))
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = converse(composition(sk1,join(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))),converse(join(sk1,composition(sk1,join(sk1,complement(one)))))) )],[refute_0_4885,refute_0_4886]) ).
cnf(refute_0_4888,plain,
join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = converse(composition(sk1,join(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,composition(sk1,join(sk1,complement(one))))),converse(composition(sk1,join(one,join(sk1,complement(one)))))) )],[refute_0_4884,refute_0_4887]) ).
cnf(refute_0_4889,plain,
( converse(composition(sk1,join(one,join(sk1,complement(one))))) != composition(top,sk1)
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) != converse(composition(sk1,join(one,join(sk1,complement(one)))))
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = composition(top,sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))),bind(Y,$fot(converse(composition(sk1,join(one,join(sk1,complement(one))))))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_4890,plain,
( converse(composition(sk1,join(one,join(sk1,complement(one))))) != composition(top,sk1)
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))),converse(composition(sk1,join(one,join(sk1,complement(one)))))) )],[refute_0_4888,refute_0_4889]) ).
cnf(refute_0_4891,plain,
join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) = composition(top,sk1),
inference(resolve,[$cnf( $equal(converse(composition(sk1,join(one,join(sk1,complement(one))))),composition(top,sk1)) )],[refute_0_4844,refute_0_4890]) ).
cnf(refute_0_4892,plain,
join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) = join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_4893,plain,
( join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) != join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))
| join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) != composition(top,sk1)
| join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) = join(complement(one),composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))),join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))) ),[1,1],$fot(composition(top,sk1))]]) ).
cnf(refute_0_4894,plain,
( join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))) != composition(top,sk1)
| join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) = join(complement(one),composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))),join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4892,refute_0_4893]) ).
cnf(refute_0_4895,plain,
join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) = join(complement(one),composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))),composition(top,sk1)) )],[refute_0_4891,refute_0_4894]) ).
cnf(refute_0_4896,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(complement(converse(sk1)),converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_4897,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) != join(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),C)
| join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))) != converse(join(sk1,complement(one)))
| join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(converse(join(sk1,complement(one))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),join(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),C)) ),[1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4898,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) != join(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),C)
| join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(converse(join(sk1,complement(one))),C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),converse(join(sk1,complement(one)))) )],[refute_0_3652,refute_0_4897]) ).
cnf(refute_0_4899,plain,
join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) = join(converse(join(sk1,complement(one))),C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),join(join(converse(sk1),meet(complement(converse(sk1)),converse(join(sk1,complement(one))))),C)) )],[refute_0_4896,refute_0_4898]) ).
cnf(refute_0_4900,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) != join(complement(one),join(converse(sk1),C))
| join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) != join(converse(join(sk1,complement(one))),C)
| join(complement(one),join(converse(sk1),C)) = join(converse(join(sk1,complement(one))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),join(converse(join(sk1,complement(one))),C)) ),[0],$fot(join(complement(one),join(converse(sk1),C)))]]) ).
cnf(refute_0_4901,plain,
( join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)) != join(converse(join(sk1,complement(one))),C)
| join(complement(one),join(converse(sk1),C)) = join(converse(join(sk1,complement(one))),C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),join(complement(one),join(converse(sk1),C))) )],[refute_0_3676,refute_0_4900]) ).
cnf(refute_0_4902,plain,
join(complement(one),join(converse(sk1),C)) = join(converse(join(sk1,complement(one))),C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(complement(converse(sk1)),converse(join(sk1,complement(one)))),C)),join(converse(join(sk1,complement(one))),C)) )],[refute_0_4899,refute_0_4901]) ).
cnf(refute_0_4903,plain,
( join(complement(one),join(converse(sk1),C)) != join(converse(join(sk1,complement(one))),C)
| join(converse(join(sk1,complement(one))),C) = join(complement(one),join(converse(sk1),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(one),join(converse(sk1),C)))),bind(Y,$fot(join(converse(join(sk1,complement(one))),C)))]]) ).
cnf(refute_0_4904,plain,
join(converse(join(sk1,complement(one))),C) = join(complement(one),join(converse(sk1),C)),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),C)),join(converse(join(sk1,complement(one))),C)) )],[refute_0_4902,refute_0_4903]) ).
cnf(refute_0_4905,plain,
join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) = join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_4904:[bind(C,$fot(converse(composition(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4906,plain,
( join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) != join(complement(one),composition(top,sk1))
| join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) != join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))
| join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) = join(complement(one),composition(top,sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))),bind(Y,$fot(join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))))),bind(Z,$fot(join(complement(one),composition(top,sk1))))]]) ).
cnf(refute_0_4907,plain,
( join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))) != join(complement(one),composition(top,sk1))
| join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) = join(complement(one),composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))),join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4905,refute_0_4906]) ).
cnf(refute_0_4908,plain,
join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) = join(complement(one),composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(composition(sk1,join(sk1,complement(one)))))),join(complement(one),composition(top,sk1))) )],[refute_0_4895,refute_0_4907]) ).
cnf(refute_0_4909,plain,
complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_4910,plain,
( complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) != join(complement(one),composition(top,sk1))
| complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = complement(join(complement(one),composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))) ),[1,0],$fot(join(complement(one),composition(top,sk1)))]]) ).
cnf(refute_0_4911,plain,
( join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))) != join(complement(one),composition(top,sk1))
| complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = complement(join(complement(one),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4909,refute_0_4910]) ).
cnf(refute_0_4912,plain,
complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = complement(join(complement(one),composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))),join(complement(one),composition(top,sk1))) )],[refute_0_4908,refute_0_4911]) ).
cnf(refute_0_4913,plain,
( complement(join(complement(one),composition(top,sk1))) != meet(one,complement(sk1))
| complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) != complement(join(complement(one),composition(top,sk1)))
| complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))))),bind(Y,$fot(complement(join(complement(one),composition(top,sk1))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4914,plain,
( complement(join(complement(one),composition(top,sk1))) != meet(one,complement(sk1))
| complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),complement(join(complement(one),composition(top,sk1)))) )],[refute_0_4912,refute_0_4913]) ).
cnf(refute_0_4915,plain,
complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),composition(top,sk1))),meet(one,complement(sk1))) )],[refute_0_4833,refute_0_4914]) ).
cnf(refute_0_4916,plain,
complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_3386:[bind(A,$fot(converse(join(sk1,complement(one))))),bind(B,$fot(converse(composition(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4917,plain,
meet(complement(X_31),converse(meet(one,complement(sk1)))) = complement(join(X_31,complement(converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4918,plain,
( complement(converse(meet(one,complement(sk1)))) != converse(join(sk1,complement(one)))
| meet(complement(X_31),converse(meet(one,complement(sk1)))) != complement(join(X_31,complement(converse(meet(one,complement(sk1))))))
| meet(complement(X_31),converse(meet(one,complement(sk1)))) = complement(join(X_31,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),converse(meet(one,complement(sk1)))),complement(join(X_31,complement(converse(meet(one,complement(sk1))))))) ),[1,0,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4919,plain,
( meet(complement(X_31),converse(meet(one,complement(sk1)))) != complement(join(X_31,complement(converse(meet(one,complement(sk1))))))
| meet(complement(X_31),converse(meet(one,complement(sk1)))) = complement(join(X_31,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_4570,refute_0_4918]) ).
cnf(refute_0_4920,plain,
meet(complement(X_31),converse(meet(one,complement(sk1)))) = complement(join(X_31,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(X_31),converse(meet(one,complement(sk1)))),complement(join(X_31,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_4917,refute_0_4919]) ).
cnf(refute_0_4921,plain,
meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) = complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_4920:[bind(X_31,$fot(converse(composition(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4922,plain,
( complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) != complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one)))))
| meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))),bind(Y,$fot(complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))))),bind(Z,$fot(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4923,plain,
( complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))),complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one)))))) )],[refute_0_4921,refute_0_4922]) ).
cnf(refute_0_4924,plain,
meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(join(converse(composition(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one))))),complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4916,refute_0_4923]) ).
cnf(refute_0_4925,plain,
join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4926,plain,
( join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) != meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))
| meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))))),bind(Y,$fot(meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))),bind(Z,$fot(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4927,plain,
( meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))),meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))),complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4924,refute_0_4927]) ).
cnf(refute_0_4929,plain,
( complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) != meet(one,complement(sk1))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) != complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))))),bind(Y,$fot(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4930,plain,
( complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))) != meet(one,complement(sk1))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))),complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one))))))) )],[refute_0_4928,refute_0_4929]) ).
cnf(refute_0_4931,plain,
join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(converse(join(sk1,complement(one))),converse(composition(sk1,join(sk1,complement(one)))))),meet(one,complement(sk1))) )],[refute_0_4915,refute_0_4930]) ).
cnf(refute_0_4932,plain,
( converse(meet(one,complement(sk1))) != join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))
| join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))) != meet(one,complement(sk1))
| converse(meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(sk1))),meet(one,complement(sk1))) ),[0],$fot(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4933,plain,
( converse(meet(one,complement(sk1))) != join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1))))),meet(one,complement(sk1))) )],[refute_0_4931,refute_0_4932]) ).
cnf(refute_0_4934,plain,
converse(meet(one,complement(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),join(zero,meet(complement(converse(composition(sk1,join(sk1,complement(one))))),converse(meet(one,complement(sk1)))))) )],[refute_0_4584,refute_0_4933]) ).
cnf(refute_0_4935,plain,
join(sk1,converse(meet(one,complement(sk1)))) = join(sk1,converse(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(join(sk1,converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4936,plain,
( converse(meet(one,complement(sk1))) != meet(one,complement(sk1))
| join(sk1,converse(meet(one,complement(sk1)))) != join(sk1,converse(meet(one,complement(sk1))))
| join(sk1,converse(meet(one,complement(sk1)))) = join(sk1,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(meet(one,complement(sk1))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_4937,plain,
( converse(meet(one,complement(sk1))) != meet(one,complement(sk1))
| join(sk1,converse(meet(one,complement(sk1)))) = join(sk1,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,converse(meet(one,complement(sk1))))) )],[refute_0_4935,refute_0_4936]) ).
cnf(refute_0_4938,plain,
join(sk1,converse(meet(one,complement(sk1)))) = join(sk1,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),meet(one,complement(sk1))) )],[refute_0_4934,refute_0_4937]) ).
cnf(refute_0_4939,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != join(sk1,meet(one,complement(sk1)))
| join(sk1,meet(one,complement(sk1))) != one
| join(sk1,converse(meet(one,complement(sk1)))) = one ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,converse(meet(one,complement(sk1)))))),bind(Y,$fot(join(sk1,meet(one,complement(sk1))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4940,plain,
( join(sk1,meet(one,complement(sk1))) != one
| join(sk1,converse(meet(one,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),join(sk1,meet(one,complement(sk1)))) )],[refute_0_4938,refute_0_4939]) ).
cnf(refute_0_4941,plain,
join(sk1,converse(meet(one,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(join(sk1,meet(one,complement(sk1))),one) )],[refute_0_1708,refute_0_4940]) ).
cnf(refute_0_4942,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| join(sk1,converse(meet(one,complement(sk1)))) != one
| one = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4943,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| one = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),one) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
meet(join(sk1,complement(converse(sk1))),one) = meet(one,join(sk1,complement(converse(sk1)))),
inference(subst,[],[refute_0_4805:[bind(X_506,$fot(join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4945,plain,
meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4946,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != one
| meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(join(sk1,complement(converse(sk1))),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4947,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != one
| meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(join(sk1,complement(converse(sk1))),one) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_4945,refute_0_4946]) ).
cnf(refute_0_4948,plain,
meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(join(sk1,complement(converse(sk1))),one),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),one) )],[refute_0_4941,refute_0_4947]) ).
cnf(refute_0_4949,plain,
( meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) != meet(join(sk1,complement(converse(sk1))),one)
| meet(join(sk1,complement(converse(sk1))),one) != meet(one,join(sk1,complement(converse(sk1))))
| meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(one,join(sk1,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))))),bind(Y,$fot(meet(join(sk1,complement(converse(sk1))),one))),bind(Z,$fot(meet(one,join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_4950,plain,
( meet(join(sk1,complement(converse(sk1))),one) != meet(one,join(sk1,complement(converse(sk1))))
| meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(one,join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),meet(join(sk1,complement(converse(sk1))),one)) )],[refute_0_4948,refute_0_4949]) ).
cnf(refute_0_4951,plain,
meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) = meet(one,join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(converse(sk1))),one),meet(one,join(sk1,complement(converse(sk1))))) )],[refute_0_4944,refute_0_4950]) ).
cnf(refute_0_4952,plain,
( meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))) != meet(one,join(sk1,complement(converse(sk1))))
| one != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| one = meet(one,join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) ),[1],$fot(meet(one,join(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4953,plain,
( one != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| one = meet(one,join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1))))),meet(one,join(sk1,complement(converse(sk1))))) )],[refute_0_4951,refute_0_4952]) ).
cnf(refute_0_4954,plain,
( join(sk1,converse(meet(one,complement(sk1)))) != meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))
| one = meet(one,join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(one,meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_4943,refute_0_4953]) ).
cnf(refute_0_4955,plain,
one = meet(one,join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(sk1)))),meet(join(sk1,complement(converse(sk1))),join(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_3913,refute_0_4954]) ).
cnf(refute_0_4956,plain,
( one != meet(one,join(sk1,complement(converse(sk1))))
| meet(one,join(sk1,complement(converse(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(meet(one,join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_4957,plain,
meet(one,join(sk1,complement(converse(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,join(sk1,complement(converse(sk1))))) )],[refute_0_4955,refute_0_4956]) ).
cnf(refute_0_4958,plain,
join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_4959,plain,
( join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) != join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))
| meet(one,join(sk1,complement(converse(sk1)))) != one
| join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = join(complement(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4960,plain,
( meet(one,join(sk1,complement(converse(sk1)))) != one
| join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = join(complement(one),one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))) )],[refute_0_4958,refute_0_4959]) ).
cnf(refute_0_4961,plain,
join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = join(complement(one),one),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(converse(sk1)))),one) )],[refute_0_4957,refute_0_4960]) ).
cnf(refute_0_4962,plain,
( join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) != join(complement(one),one)
| join(complement(one),one) != top
| join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))))),bind(Y,$fot(join(complement(one),one))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4963,plain,
( join(complement(one),one) != top
| join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),join(complement(one),one)) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(complement(one),one),top) )],[refute_0_3849,refute_0_4963]) ).
cnf(refute_0_4965,plain,
( join(complement(one),meet(one,join(sk1,complement(converse(sk1))))) != top
| join(sk1,complement(converse(sk1))) != join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))) ),[1],$fot(top)]]) ).
cnf(refute_0_4966,plain,
( join(sk1,complement(converse(sk1))) != join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))
| join(sk1,complement(converse(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(sk1,complement(converse(sk1))))),top) )],[refute_0_4964,refute_0_4965]) ).
cnf(refute_0_4967,plain,
join(sk1,complement(converse(sk1))) = top,
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(sk1))),join(complement(one),meet(one,join(sk1,complement(converse(sk1)))))) )],[refute_0_3500,refute_0_4966]) ).
cnf(refute_0_4968,plain,
( join(sk1,complement(converse(sk1))) != top
| meet(complement(sk1),converse(sk1)) != complement(join(sk1,complement(converse(sk1))))
| meet(complement(sk1),converse(sk1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),converse(sk1)),complement(join(sk1,complement(converse(sk1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4969,plain,
( meet(complement(sk1),converse(sk1)) != complement(join(sk1,complement(converse(sk1))))
| meet(complement(sk1),converse(sk1)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(sk1))),top) )],[refute_0_4967,refute_0_4968]) ).
cnf(refute_0_4970,plain,
meet(complement(sk1),converse(sk1)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(sk1)),complement(join(sk1,complement(converse(sk1))))) )],[refute_0_3090,refute_0_4969]) ).
cnf(refute_0_4971,plain,
( complement(top) != zero
| meet(complement(sk1),converse(sk1)) != complement(top)
| meet(complement(sk1),converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),converse(sk1)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4972,plain,
( meet(complement(sk1),converse(sk1)) != complement(top)
| meet(complement(sk1),converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_67,refute_0_4971]) ).
cnf(refute_0_4973,plain,
meet(complement(sk1),converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(sk1)),complement(top)) )],[refute_0_4970,refute_0_4972]) ).
cnf(refute_0_4974,plain,
( complement(sk1) != join(meet(complement(sk1),converse(sk1)),meet(complement(sk1),complement(converse(sk1))))
| meet(complement(sk1),converse(sk1)) != zero
| complement(sk1) = join(zero,meet(complement(sk1),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),converse(sk1)),meet(complement(sk1),complement(converse(sk1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4975,plain,
( complement(sk1) != join(meet(complement(sk1),converse(sk1)),meet(complement(sk1),complement(converse(sk1))))
| complement(sk1) = join(zero,meet(complement(sk1),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(sk1)),zero) )],[refute_0_4973,refute_0_4974]) ).
cnf(refute_0_4976,plain,
complement(sk1) = join(zero,meet(complement(sk1),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),converse(sk1)),meet(complement(sk1),complement(converse(sk1))))) )],[refute_0_3089,refute_0_4975]) ).
cnf(refute_0_4977,plain,
meet(complement(sk1),complement(converse(sk1))) = complement(join(sk1,converse(sk1))),
inference(subst,[],[refute_0_3728:[bind(B,$fot(converse(sk1))),bind(X_600,$fot(sk1))]]) ).
cnf(refute_0_4978,plain,
join(zero,meet(complement(sk1),complement(converse(sk1)))) = meet(complement(sk1),complement(converse(sk1))),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(meet(complement(sk1),complement(converse(sk1)))))]]) ).
cnf(refute_0_4979,plain,
( join(zero,meet(complement(sk1),complement(converse(sk1)))) != meet(complement(sk1),complement(converse(sk1)))
| meet(complement(sk1),complement(converse(sk1))) != complement(join(sk1,converse(sk1)))
| join(zero,meet(complement(sk1),complement(converse(sk1)))) = complement(join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(sk1),complement(converse(sk1)))))),bind(Y,$fot(meet(complement(sk1),complement(converse(sk1))))),bind(Z,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4980,plain,
( meet(complement(sk1),complement(converse(sk1))) != complement(join(sk1,converse(sk1)))
| join(zero,meet(complement(sk1),complement(converse(sk1)))) = complement(join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk1),complement(converse(sk1)))),meet(complement(sk1),complement(converse(sk1)))) )],[refute_0_4978,refute_0_4979]) ).
cnf(refute_0_4981,plain,
join(zero,meet(complement(sk1),complement(converse(sk1)))) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(converse(sk1))),complement(join(sk1,converse(sk1)))) )],[refute_0_4977,refute_0_4980]) ).
cnf(refute_0_4982,plain,
( complement(sk1) != join(zero,meet(complement(sk1),complement(converse(sk1))))
| join(zero,meet(complement(sk1),complement(converse(sk1)))) != complement(join(sk1,converse(sk1)))
| complement(sk1) = complement(join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),complement(join(sk1,converse(sk1)))) ),[0],$fot(join(zero,meet(complement(sk1),complement(converse(sk1)))))]]) ).
cnf(refute_0_4983,plain,
( complement(sk1) != join(zero,meet(complement(sk1),complement(converse(sk1))))
| complement(sk1) = complement(join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk1),complement(converse(sk1)))),complement(join(sk1,converse(sk1)))) )],[refute_0_4981,refute_0_4982]) ).
cnf(refute_0_4984,plain,
complement(sk1) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(zero,meet(complement(sk1),complement(converse(sk1))))) )],[refute_0_4976,refute_0_4983]) ).
cnf(refute_0_4985,plain,
( complement(sk1) != complement(join(sk1,converse(sk1)))
| complement(join(sk1,converse(sk1))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4986,plain,
complement(join(sk1,converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),complement(join(sk1,converse(sk1)))) )],[refute_0_4984,refute_0_4985]) ).
cnf(refute_0_4987,plain,
( complement(join(sk1,converse(sk1))) != complement(sk1)
| converse(complement(join(sk1,converse(sk1)))) != complement(converse(join(sk1,converse(sk1))))
| converse(complement(sk1)) = complement(converse(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(sk1,converse(sk1)))),complement(converse(join(sk1,converse(sk1))))) ),[0,0],$fot(complement(sk1))]]) ).
cnf(refute_0_4988,plain,
( converse(complement(join(sk1,converse(sk1)))) != complement(converse(join(sk1,converse(sk1))))
| converse(complement(sk1)) = complement(converse(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(sk1)) )],[refute_0_4986,refute_0_4987]) ).
cnf(refute_0_4989,plain,
converse(complement(sk1)) = complement(converse(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,converse(sk1)))),complement(converse(join(sk1,converse(sk1))))) )],[refute_0_3088,refute_0_4988]) ).
cnf(refute_0_4990,plain,
( converse(complement(sk1)) != complement(converse(join(sk1,converse(sk1))))
| converse(complement(sk1)) != complement(converse(sk1))
| complement(converse(sk1)) = complement(converse(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),complement(converse(join(sk1,converse(sk1))))) ),[0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4991,plain,
( converse(complement(sk1)) != complement(converse(join(sk1,converse(sk1))))
| complement(converse(sk1)) = complement(converse(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_3132,refute_0_4990]) ).
cnf(refute_0_4992,plain,
join(converse(sk1),sk1) = join(sk1,converse(sk1)),
inference(subst,[],[refute_0_4537:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_4993,plain,
converse(join(sk1,converse(sk1))) = join(converse(sk1),sk1),
inference(subst,[],[refute_0_345:[bind(A,$fot(sk1)),bind(X_4,$fot(sk1))]]) ).
cnf(refute_0_4994,plain,
( converse(join(sk1,converse(sk1))) != join(converse(sk1),sk1)
| join(converse(sk1),sk1) != join(sk1,converse(sk1))
| converse(join(sk1,converse(sk1))) = join(sk1,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(sk1,converse(sk1))))),bind(Y,$fot(join(converse(sk1),sk1))),bind(Z,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_4995,plain,
( join(converse(sk1),sk1) != join(sk1,converse(sk1))
| converse(join(sk1,converse(sk1))) = join(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(sk1))),join(converse(sk1),sk1)) )],[refute_0_4993,refute_0_4994]) ).
cnf(refute_0_4996,plain,
converse(join(sk1,converse(sk1))) = join(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),sk1),join(sk1,converse(sk1))) )],[refute_0_4992,refute_0_4995]) ).
cnf(refute_0_4997,plain,
complement(converse(join(sk1,converse(sk1)))) = complement(converse(join(sk1,converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(converse(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_4998,plain,
( complement(converse(join(sk1,converse(sk1)))) != complement(converse(join(sk1,converse(sk1))))
| converse(join(sk1,converse(sk1))) != join(sk1,converse(sk1))
| complement(converse(join(sk1,converse(sk1)))) = complement(join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,converse(sk1)))),complement(converse(join(sk1,converse(sk1))))) ),[1,0],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_4999,plain,
( converse(join(sk1,converse(sk1))) != join(sk1,converse(sk1))
| complement(converse(join(sk1,converse(sk1)))) = complement(join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(sk1)))),complement(converse(join(sk1,converse(sk1))))) )],[refute_0_4997,refute_0_4998]) ).
cnf(refute_0_5000,plain,
complement(converse(join(sk1,converse(sk1)))) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(sk1))),join(sk1,converse(sk1))) )],[refute_0_4996,refute_0_4999]) ).
cnf(refute_0_5001,plain,
( complement(converse(join(sk1,converse(sk1)))) != complement(join(sk1,converse(sk1)))
| complement(join(sk1,converse(sk1))) != complement(sk1)
| complement(converse(join(sk1,converse(sk1)))) = complement(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(join(sk1,converse(sk1)))))),bind(Y,$fot(complement(join(sk1,converse(sk1))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_5002,plain,
( complement(join(sk1,converse(sk1))) != complement(sk1)
| complement(converse(join(sk1,converse(sk1)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(sk1)))),complement(join(sk1,converse(sk1)))) )],[refute_0_5000,refute_0_5001]) ).
cnf(refute_0_5003,plain,
complement(converse(join(sk1,converse(sk1)))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(sk1)) )],[refute_0_4986,refute_0_5002]) ).
cnf(refute_0_5004,plain,
( complement(converse(join(sk1,converse(sk1)))) != complement(sk1)
| complement(converse(sk1)) != complement(converse(join(sk1,converse(sk1))))
| complement(converse(sk1)) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),complement(converse(join(sk1,converse(sk1))))) ),[1],$fot(complement(sk1))]]) ).
cnf(refute_0_5005,plain,
( complement(converse(sk1)) != complement(converse(join(sk1,converse(sk1))))
| complement(converse(sk1)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(sk1)))),complement(sk1)) )],[refute_0_5003,refute_0_5004]) ).
cnf(refute_0_5006,plain,
( converse(complement(sk1)) != complement(converse(join(sk1,converse(sk1))))
| complement(converse(sk1)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(converse(join(sk1,converse(sk1))))) )],[refute_0_4991,refute_0_5005]) ).
cnf(refute_0_5007,plain,
complement(converse(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(join(sk1,converse(sk1))))) )],[refute_0_4989,refute_0_5006]) ).
cnf(refute_0_5008,plain,
meet(one,complement(converse(sk1))) = meet(one,complement(converse(sk1))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_5009,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(one,complement(converse(sk1))) != meet(one,complement(converse(sk1)))
| meet(one,complement(converse(sk1))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_5010,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(one,complement(converse(sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) )],[refute_0_5008,refute_0_5009]) ).
cnf(refute_0_5011,plain,
meet(one,complement(converse(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_5007,refute_0_5010]) ).
cnf(refute_0_5012,plain,
join(converse(sk1),meet(one,complement(converse(sk1)))) = join(converse(sk1),meet(one,complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5013,plain,
( join(converse(sk1),meet(one,complement(converse(sk1)))) != join(converse(sk1),meet(one,complement(converse(sk1))))
| meet(one,complement(converse(sk1))) != meet(one,complement(sk1))
| join(converse(sk1),meet(one,complement(converse(sk1)))) = join(converse(sk1),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),join(converse(sk1),meet(one,complement(converse(sk1))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_5014,plain,
( meet(one,complement(converse(sk1))) != meet(one,complement(sk1))
| join(converse(sk1),meet(one,complement(converse(sk1)))) = join(converse(sk1),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_5012,refute_0_5013]) ).
cnf(refute_0_5015,plain,
join(converse(sk1),meet(one,complement(converse(sk1)))) = join(converse(sk1),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(sk1))) )],[refute_0_5011,refute_0_5014]) ).
cnf(refute_0_5016,plain,
( join(converse(sk1),meet(one,complement(converse(sk1)))) != join(converse(sk1),meet(one,complement(sk1)))
| one != join(converse(sk1),meet(one,complement(converse(sk1))))
| one = join(converse(sk1),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(sk1),meet(one,complement(converse(sk1))))) ),[1],$fot(join(converse(sk1),meet(one,complement(sk1))))]]) ).
cnf(refute_0_5017,plain,
( one != join(converse(sk1),meet(one,complement(converse(sk1))))
| one = join(converse(sk1),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),join(converse(sk1),meet(one,complement(sk1)))) )],[refute_0_5015,refute_0_5016]) ).
cnf(refute_0_5018,plain,
one = join(converse(sk1),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(one,join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_2552,refute_0_5017]) ).
cnf(refute_0_5019,plain,
( one != join(converse(sk1),meet(one,complement(sk1)))
| join(converse(sk1),meet(one,complement(sk1))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_5020,plain,
join(converse(sk1),meet(one,complement(sk1))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),meet(one,complement(sk1)))) )],[refute_0_5018,refute_0_5019]) ).
cnf(refute_0_5021,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_5022,plain,
( join(converse(sk1),meet(one,complement(sk1))) != one
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(sk1,join(converse(sk1),meet(one,complement(sk1))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(sk1,one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5023,plain,
( join(converse(sk1),meet(one,complement(sk1))) != one
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(sk1,one) ),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_5021,refute_0_5022]) ).
cnf(refute_0_5024,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = meet(sk1,one),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(sk1))),one) )],[refute_0_5020,refute_0_5023]) ).
cnf(refute_0_5025,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(sk1,one)
| meet(sk1,one) != sk1
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))),bind(Y,$fot(meet(sk1,one))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_5026,plain,
( meet(sk1,one) != sk1
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(sk1,one)) )],[refute_0_5024,refute_0_5025]) ).
cnf(refute_0_5027,plain,
meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,one),sk1) )],[refute_0_3087,refute_0_5026]) ).
cnf(refute_0_5028,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != sk1
| sk1 = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),[0],$fot(sk1)]]) ).
cnf(refute_0_5029,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| sk1 = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),sk1) )],[refute_0_5027,refute_0_5028]) ).
cnf(refute_0_5030,plain,
converse(sk1) = meet(converse(sk1),join(complement(complement(sk1)),meet(complement(sk1),converse(sk1)))),
inference(subst,[],[refute_0_238:[bind(X_107,$fot(complement(sk1))),bind(X_108,$fot(converse(sk1)))]]) ).
cnf(refute_0_5031,plain,
( converse(sk1) != meet(converse(sk1),join(complement(complement(sk1)),meet(complement(sk1),converse(sk1))))
| meet(complement(sk1),converse(sk1)) != zero
| converse(sk1) = meet(converse(sk1),join(complement(complement(sk1)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(complement(sk1)),meet(complement(sk1),converse(sk1))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_5032,plain,
( converse(sk1) != meet(converse(sk1),join(complement(complement(sk1)),meet(complement(sk1),converse(sk1))))
| converse(sk1) = meet(converse(sk1),join(complement(complement(sk1)),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(sk1)),zero) )],[refute_0_4973,refute_0_5031]) ).
cnf(refute_0_5033,plain,
converse(sk1) = meet(converse(sk1),join(complement(complement(sk1)),zero)),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(complement(sk1)),meet(complement(sk1),converse(sk1))))) )],[refute_0_5030,refute_0_5032]) ).
cnf(refute_0_5034,plain,
( meet(X_275,converse(sk1)) != meet(converse(sk1),X_275)
| meet(converse(sk1),X_275) = meet(X_275,converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_275,converse(sk1)))),bind(Y,$fot(meet(converse(sk1),X_275)))]]) ).
cnf(refute_0_5035,plain,
meet(converse(sk1),X_275) = meet(X_275,converse(sk1)),
inference(resolve,[$cnf( $equal(meet(X_275,converse(sk1)),meet(converse(sk1),X_275)) )],[refute_0_4173,refute_0_5034]) ).
cnf(refute_0_5036,plain,
meet(converse(sk1),sk1) = meet(sk1,converse(sk1)),
inference(subst,[],[refute_0_5035:[bind(X_275,$fot(sk1))]]) ).
cnf(refute_0_5037,plain,
join(zero,complement(complement(sk1))) = complement(complement(sk1)),
inference(subst,[],[refute_0_217:[bind(X_89,$fot(complement(complement(sk1))))]]) ).
cnf(refute_0_5038,plain,
( complement(complement(sk1)) != sk1
| join(zero,complement(complement(sk1))) != complement(complement(sk1))
| join(zero,complement(complement(sk1))) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(complement(sk1))))),bind(Y,$fot(complement(complement(sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_5039,plain,
( complement(complement(sk1)) != sk1
| join(zero,complement(complement(sk1))) = sk1 ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(sk1))),complement(complement(sk1))) )],[refute_0_5037,refute_0_5038]) ).
cnf(refute_0_5040,plain,
join(zero,complement(complement(sk1))) = sk1,
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_3742,refute_0_5039]) ).
cnf(refute_0_5041,plain,
join(complement(complement(sk1)),zero) = join(zero,complement(complement(sk1))),
inference(subst,[],[refute_0_2343:[bind(A,$fot(zero)),bind(X_49,$fot(complement(complement(sk1))))]]) ).
cnf(refute_0_5042,plain,
( join(complement(complement(sk1)),zero) != join(zero,complement(complement(sk1)))
| join(zero,complement(complement(sk1))) != sk1
| join(complement(complement(sk1)),zero) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(sk1)),zero))),bind(Y,$fot(join(zero,complement(complement(sk1))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_5043,plain,
( join(zero,complement(complement(sk1))) != sk1
| join(complement(complement(sk1)),zero) = sk1 ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),zero),join(zero,complement(complement(sk1)))) )],[refute_0_5041,refute_0_5042]) ).
cnf(refute_0_5044,plain,
join(complement(complement(sk1)),zero) = sk1,
inference(resolve,[$cnf( $equal(join(zero,complement(complement(sk1))),sk1) )],[refute_0_5040,refute_0_5043]) ).
cnf(refute_0_5045,plain,
meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(converse(sk1),join(complement(complement(sk1)),zero)),
introduced(tautology,[refl,[$fot(meet(converse(sk1),join(complement(complement(sk1)),zero)))]]) ).
cnf(refute_0_5046,plain,
( join(complement(complement(sk1)),zero) != sk1
| meet(converse(sk1),join(complement(complement(sk1)),zero)) != meet(converse(sk1),join(complement(complement(sk1)),zero))
| meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(converse(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),join(complement(complement(sk1)),zero)),meet(converse(sk1),join(complement(complement(sk1)),zero))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_5047,plain,
( join(complement(complement(sk1)),zero) != sk1
| meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(converse(sk1),sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(complement(sk1)),zero)),meet(converse(sk1),join(complement(complement(sk1)),zero))) )],[refute_0_5045,refute_0_5046]) ).
cnf(refute_0_5048,plain,
meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(converse(sk1),sk1),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),zero),sk1) )],[refute_0_5044,refute_0_5047]) ).
cnf(refute_0_5049,plain,
( meet(converse(sk1),join(complement(complement(sk1)),zero)) != meet(converse(sk1),sk1)
| meet(converse(sk1),sk1) != meet(sk1,converse(sk1))
| meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(sk1,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(sk1),join(complement(complement(sk1)),zero)))),bind(Y,$fot(meet(converse(sk1),sk1))),bind(Z,$fot(meet(sk1,converse(sk1))))]]) ).
cnf(refute_0_5050,plain,
( meet(converse(sk1),sk1) != meet(sk1,converse(sk1))
| meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(complement(sk1)),zero)),meet(converse(sk1),sk1)) )],[refute_0_5048,refute_0_5049]) ).
cnf(refute_0_5051,plain,
meet(converse(sk1),join(complement(complement(sk1)),zero)) = meet(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(sk1),sk1),meet(sk1,converse(sk1))) )],[refute_0_5036,refute_0_5050]) ).
cnf(refute_0_5052,plain,
( converse(sk1) != meet(converse(sk1),join(complement(complement(sk1)),zero))
| meet(converse(sk1),join(complement(complement(sk1)),zero)) != meet(sk1,converse(sk1))
| converse(sk1) = meet(sk1,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(sk1,converse(sk1))) ),[0],$fot(meet(converse(sk1),join(complement(complement(sk1)),zero)))]]) ).
cnf(refute_0_5053,plain,
( converse(sk1) != meet(converse(sk1),join(complement(complement(sk1)),zero))
| converse(sk1) = meet(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(complement(sk1)),zero)),meet(sk1,converse(sk1))) )],[refute_0_5051,refute_0_5052]) ).
cnf(refute_0_5054,plain,
converse(sk1) = meet(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(complement(complement(sk1)),zero))) )],[refute_0_5033,refute_0_5053]) ).
cnf(refute_0_5055,plain,
( converse(sk1) != meet(sk1,converse(sk1))
| meet(sk1,converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(sk1,converse(sk1))))]]) ).
cnf(refute_0_5056,plain,
meet(sk1,converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(sk1,converse(sk1))) )],[refute_0_5054,refute_0_5055]) ).
cnf(refute_0_5057,plain,
( meet(converse(sk1),sk1) != meet(sk1,converse(sk1))
| meet(sk1,converse(sk1)) != converse(sk1)
| meet(converse(sk1),sk1) = converse(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(sk1),sk1))),bind(Y,$fot(meet(sk1,converse(sk1)))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_5058,plain,
( meet(sk1,converse(sk1)) != converse(sk1)
| meet(converse(sk1),sk1) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),sk1),meet(sk1,converse(sk1))) )],[refute_0_5036,refute_0_5057]) ).
cnf(refute_0_5059,plain,
meet(converse(sk1),sk1) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,converse(sk1)),converse(sk1)) )],[refute_0_5056,refute_0_5058]) ).
cnf(refute_0_5060,plain,
meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5061,plain,
( meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != sk1
| meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_5062,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != sk1
| meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_5060,refute_0_5061]) ).
cnf(refute_0_5063,plain,
meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = meet(converse(sk1),sk1),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),sk1) )],[refute_0_5027,refute_0_5062]) ).
cnf(refute_0_5064,plain,
( meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != meet(converse(sk1),sk1)
| meet(converse(sk1),sk1) != converse(sk1)
| meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = converse(sk1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))))),bind(Y,$fot(meet(converse(sk1),sk1))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_5065,plain,
( meet(converse(sk1),sk1) != converse(sk1)
| meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),meet(converse(sk1),sk1)) )],[refute_0_5063,refute_0_5064]) ).
cnf(refute_0_5066,plain,
meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk1),sk1),converse(sk1)) )],[refute_0_5059,refute_0_5065]) ).
cnf(refute_0_5067,plain,
( meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))) != converse(sk1)
| sk1 != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| sk1 = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) ),[1],$fot(converse(sk1))]]) ).
cnf(refute_0_5068,plain,
( sk1 != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| sk1 = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1))))),converse(sk1)) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
( meet(sk1,join(converse(sk1),meet(one,complement(sk1)))) != meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))
| sk1 = converse(sk1) ),
inference(resolve,[$cnf( $equal(sk1,meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_5029,refute_0_5068]) ).
cnf(refute_0_5070,plain,
sk1 = converse(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,join(converse(sk1),meet(one,complement(sk1)))),meet(converse(sk1),meet(sk1,join(converse(sk1),meet(one,complement(sk1)))))) )],[refute_0_3084,refute_0_5069]) ).
cnf(refute_0_5071,plain,
( sk1 != converse(sk1)
| converse(sk1) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(converse(sk1)))]]) ).
cnf(refute_0_5072,plain,
sk1 != converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),sk1) )],[refute_0_5071,goals_15]) ).
cnf(refute_0_5073,plain,
$false,
inference(resolve,[$cnf( $equal(sk1,converse(sk1)) )],[refute_0_5070,refute_0_5072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL025-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 07:27:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 71.90/72.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.90/72.14
% 71.90/72.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 72.66/72.82
%------------------------------------------------------------------------------