TSTP Solution File: REL006-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 19:43:06 EDT 2022
% Result : Unsatisfiable 3.33s 3.54s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 150
% Number of leaves : 483
% Syntax : Number of clauses : 2070 (1025 unt; 0 nHn;1407 RR)
% Number of literals : 3578 (3577 equ;1510 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 1841 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
join(A,B) = join(B,A) ).
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(A,B) = complement(join(complement(A),complement(B))) ).
cnf(composition_identity_6,axiom,
composition(A,one) = A ).
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
cnf(converse_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,
meet(converse(sk1),sk2) = zero ).
cnf(goals_15,negated_conjecture,
meet(sk1,converse(sk2)) != zero ).
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( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
meet(top,X_20) = join(meet(meet(top,X_20),join(zero,complement(X_20))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(meet(top,X_20))),bind(B,$fot(join(zero,complement(X_20))))]]) ).
cnf(refute_0_25,plain,
zero = meet(join(zero,complement(X_20)),complement(join(zero,complement(X_20)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(zero,complement(X_20))))]]) ).
cnf(refute_0_26,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_27,plain,
zero = meet(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_17),complement(X_18))))]]) ).
cnf(refute_0_28,plain,
meet(X_17,X_18) = complement(join(complement(X_17),complement(X_18))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_17)),bind(B,$fot(X_18))]]) ).
cnf(refute_0_29,plain,
( meet(X_17,X_18) != complement(join(complement(X_17),complement(X_18)))
| complement(join(complement(X_17),complement(X_18))) = meet(X_17,X_18) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_17,X_18))),bind(Y,$fot(complement(join(complement(X_17),complement(X_18)))))]]) ).
cnf(refute_0_30,plain,
complement(join(complement(X_17),complement(X_18))) = meet(X_17,X_18),
inference(resolve,[$cnf( $equal(meet(X_17,X_18),complement(join(complement(X_17),complement(X_18)))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( complement(join(complement(X_17),complement(X_18))) != meet(X_17,X_18)
| zero != meet(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))
| zero = meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))) ),[1,1],$fot(meet(X_17,X_18))]]) ).
cnf(refute_0_32,plain,
( zero != meet(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))
| zero = meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_17),complement(X_18))),meet(X_17,X_18)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
zero = meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))) )],[refute_0_27,refute_0_32]) ).
cnf(refute_0_34,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_35,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_34]) ).
cnf(refute_0_36,plain,
join(meet(X_17,X_18),complement(meet(X_17,X_18))) = top,
inference(subst,[],[refute_0_35:[bind(A,$fot(meet(X_17,X_18)))]]) ).
cnf(refute_0_37,plain,
complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) = complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))))]]) ).
cnf(refute_0_38,plain,
( complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) != complement(join(meet(X_17,X_18),complement(meet(X_17,X_18))))
| join(meet(X_17,X_18),complement(meet(X_17,X_18))) != top
| complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))),complement(join(meet(X_17,X_18),complement(meet(X_17,X_18))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_39,plain,
( join(meet(X_17,X_18),complement(meet(X_17,X_18))) != top
| complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))),complement(join(meet(X_17,X_18),complement(meet(X_17,X_18))))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_17,X_18),complement(meet(X_17,X_18))),top) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
meet(join(complement(X_17),complement(X_18)),B) = complement(join(complement(join(complement(X_17),complement(X_18))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_17),complement(X_18))))]]) ).
cnf(refute_0_42,plain,
( complement(join(complement(X_17),complement(X_18))) != meet(X_17,X_18)
| meet(join(complement(X_17),complement(X_18)),B) != complement(join(complement(join(complement(X_17),complement(X_18))),complement(B)))
| meet(join(complement(X_17),complement(X_18)),B) = complement(join(meet(X_17,X_18),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_17),complement(X_18)),B),complement(join(complement(join(complement(X_17),complement(X_18))),complement(B)))) ),[1,0,0],$fot(meet(X_17,X_18))]]) ).
cnf(refute_0_43,plain,
( meet(join(complement(X_17),complement(X_18)),B) != complement(join(complement(join(complement(X_17),complement(X_18))),complement(B)))
| meet(join(complement(X_17),complement(X_18)),B) = complement(join(meet(X_17,X_18),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_17),complement(X_18))),meet(X_17,X_18)) )],[refute_0_30,refute_0_42]) ).
cnf(refute_0_44,plain,
meet(join(complement(X_17),complement(X_18)),B) = complement(join(meet(X_17,X_18),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_17),complement(X_18)),B),complement(join(complement(join(complement(X_17),complement(X_18))),complement(B)))) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) = complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))),
inference(subst,[],[refute_0_44:[bind(B,$fot(meet(X_17,X_18)))]]) ).
cnf(refute_0_46,plain,
( complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) != complement(top)
| meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) != complement(join(meet(X_17,X_18),complement(meet(X_17,X_18))))
| meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) = complement(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)))),bind(Y,$fot(complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_47,plain,
( complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))) != complement(top)
| meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)),complement(join(meet(X_17,X_18),complement(meet(X_17,X_18))))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_17,X_18),complement(meet(X_17,X_18)))),complement(top)) )],[refute_0_40,refute_0_47]) ).
cnf(refute_0_49,plain,
( meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) != complement(top)
| zero != meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_50,plain,
( zero != meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18)),complement(top)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_17),complement(X_18)),meet(X_17,X_18))) )],[refute_0_33,refute_0_50]) ).
cnf(refute_0_52,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_53,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( complement(top) != zero
| meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_55,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_26,refute_0_55]) ).
cnf(refute_0_57,plain,
meet(top,X_20) = complement(join(zero,complement(X_20))),
inference(subst,[],[refute_0_56:[bind(B,$fot(X_20))]]) ).
cnf(refute_0_58,plain,
( meet(top,X_20) != complement(join(zero,complement(X_20)))
| complement(join(zero,complement(X_20))) = meet(top,X_20) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_20))),bind(Y,$fot(complement(join(zero,complement(X_20)))))]]) ).
cnf(refute_0_59,plain,
complement(join(zero,complement(X_20))) = meet(top,X_20),
inference(resolve,[$cnf( $equal(meet(top,X_20),complement(join(zero,complement(X_20)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( complement(join(zero,complement(X_20))) != meet(top,X_20)
| zero != meet(join(zero,complement(X_20)),complement(join(zero,complement(X_20))))
| zero = meet(join(zero,complement(X_20)),meet(top,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_20)),complement(join(zero,complement(X_20))))) ),[1,1],$fot(meet(top,X_20))]]) ).
cnf(refute_0_61,plain,
( zero != meet(join(zero,complement(X_20)),complement(join(zero,complement(X_20))))
| zero = meet(join(zero,complement(X_20)),meet(top,X_20)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_20))),meet(top,X_20)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
zero = meet(join(zero,complement(X_20)),meet(top,X_20)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_20)),complement(join(zero,complement(X_20))))) )],[refute_0_25,refute_0_61]) ).
cnf(refute_0_63,plain,
join(complement(X_18),complement(X_17)) = join(complement(X_17),complement(X_18)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_18))),bind(B,$fot(complement(X_17)))]]) ).
cnf(refute_0_64,plain,
( join(complement(X_18),complement(X_17)) != join(complement(X_17),complement(X_18))
| join(complement(X_17),complement(X_18)) = join(complement(X_18),complement(X_17)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_18),complement(X_17)))),bind(Y,$fot(join(complement(X_17),complement(X_18))))]]) ).
cnf(refute_0_65,plain,
join(complement(X_17),complement(X_18)) = join(complement(X_18),complement(X_17)),
inference(resolve,[$cnf( $equal(join(complement(X_18),complement(X_17)),join(complement(X_17),complement(X_18))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( join(complement(X_17),complement(X_18)) != join(complement(X_18),complement(X_17))
| meet(X_17,X_18) != complement(join(complement(X_17),complement(X_18)))
| meet(X_17,X_18) = complement(join(complement(X_18),complement(X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_17,X_18),complement(join(complement(X_17),complement(X_18)))) ),[1,0],$fot(join(complement(X_18),complement(X_17)))]]) ).
cnf(refute_0_67,plain,
( meet(X_17,X_18) != complement(join(complement(X_17),complement(X_18)))
| meet(X_17,X_18) = complement(join(complement(X_18),complement(X_17))) ),
inference(resolve,[$cnf( $equal(join(complement(X_17),complement(X_18)),join(complement(X_18),complement(X_17))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
meet(X_17,X_18) = complement(join(complement(X_18),complement(X_17))),
inference(resolve,[$cnf( $equal(meet(X_17,X_18),complement(join(complement(X_17),complement(X_18)))) )],[refute_0_28,refute_0_67]) ).
cnf(refute_0_69,plain,
complement(join(complement(X_18),complement(X_17))) = meet(X_18,X_17),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_18)),bind(B,$fot(X_17))]]) ).
cnf(refute_0_70,plain,
( complement(join(complement(X_18),complement(X_17))) != meet(X_18,X_17)
| meet(X_17,X_18) != complement(join(complement(X_18),complement(X_17)))
| meet(X_17,X_18) = meet(X_18,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_17,X_18),complement(join(complement(X_18),complement(X_17)))) ),[1],$fot(meet(X_18,X_17))]]) ).
cnf(refute_0_71,plain,
( meet(X_17,X_18) != complement(join(complement(X_18),complement(X_17)))
| meet(X_17,X_18) = meet(X_18,X_17) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_18),complement(X_17))),meet(X_18,X_17)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
meet(X_17,X_18) = meet(X_18,X_17),
inference(resolve,[$cnf( $equal(meet(X_17,X_18),complement(join(complement(X_18),complement(X_17)))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( meet(X_17,X_18) != meet(X_18,X_17)
| meet(X_18,X_17) = meet(X_17,X_18) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_17,X_18))),bind(Y,$fot(meet(X_18,X_17)))]]) ).
cnf(refute_0_74,plain,
meet(X_18,X_17) = meet(X_17,X_18),
inference(resolve,[$cnf( $equal(meet(X_17,X_18),meet(X_18,X_17)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
meet(join(zero,complement(X_20)),meet(top,X_20)) = meet(meet(top,X_20),join(zero,complement(X_20))),
inference(subst,[],[refute_0_74:[bind(X_17,$fot(meet(top,X_20))),bind(X_18,$fot(join(zero,complement(X_20))))]]) ).
cnf(refute_0_76,plain,
( meet(join(zero,complement(X_20)),meet(top,X_20)) != meet(meet(top,X_20),join(zero,complement(X_20)))
| zero != meet(join(zero,complement(X_20)),meet(top,X_20))
| zero = meet(meet(top,X_20),join(zero,complement(X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_20)),meet(top,X_20))) ),[1],$fot(meet(meet(top,X_20),join(zero,complement(X_20))))]]) ).
cnf(refute_0_77,plain,
( zero != meet(join(zero,complement(X_20)),meet(top,X_20))
| zero = meet(meet(top,X_20),join(zero,complement(X_20))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_20)),meet(top,X_20)),meet(meet(top,X_20),join(zero,complement(X_20)))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
zero = meet(meet(top,X_20),join(zero,complement(X_20))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_20)),meet(top,X_20))) )],[refute_0_62,refute_0_77]) ).
cnf(refute_0_79,plain,
( zero != meet(meet(top,X_20),join(zero,complement(X_20)))
| meet(meet(top,X_20),join(zero,complement(X_20))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_20),join(zero,complement(X_20)))))]]) ).
cnf(refute_0_80,plain,
meet(meet(top,X_20),join(zero,complement(X_20))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_20),join(zero,complement(X_20)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( meet(meet(top,X_20),join(zero,complement(X_20))) != zero
| meet(top,X_20) != join(meet(meet(top,X_20),join(zero,complement(X_20))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))
| meet(top,X_20) = join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_20),join(meet(meet(top,X_20),join(zero,complement(X_20))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_82,plain,
( meet(top,X_20) != join(meet(meet(top,X_20),join(zero,complement(X_20))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))
| meet(top,X_20) = join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_20),join(zero,complement(X_20))),zero) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
meet(top,X_20) = join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),
inference(resolve,[$cnf( $equal(meet(top,X_20),join(meet(meet(top,X_20),join(zero,complement(X_20))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) )],[refute_0_24,refute_0_82]) ).
cnf(refute_0_84,plain,
join(X_35,join(X_36,X_37)) = join(join(X_35,X_36),X_37),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(X_36)),bind(C,$fot(X_37))]]) ).
cnf(refute_0_85,plain,
join(X_37,X_36) = join(X_36,X_37),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_37)),bind(B,$fot(X_36))]]) ).
cnf(refute_0_86,plain,
( join(X_37,X_36) != join(X_36,X_37)
| join(X_36,X_37) = join(X_37,X_36) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_37,X_36))),bind(Y,$fot(join(X_36,X_37)))]]) ).
cnf(refute_0_87,plain,
join(X_36,X_37) = join(X_37,X_36),
inference(resolve,[$cnf( $equal(join(X_37,X_36),join(X_36,X_37)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( join(X_35,join(X_36,X_37)) != join(join(X_35,X_36),X_37)
| join(X_36,X_37) != join(X_37,X_36)
| join(X_35,join(X_37,X_36)) = join(join(X_35,X_36),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(join(X_35,X_36),X_37)) ),[0,1],$fot(join(X_37,X_36))]]) ).
cnf(refute_0_89,plain,
( join(X_35,join(X_36,X_37)) != join(join(X_35,X_36),X_37)
| join(X_35,join(X_37,X_36)) = join(join(X_35,X_36),X_37) ),
inference(resolve,[$cnf( $equal(join(X_36,X_37),join(X_37,X_36)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
join(X_35,join(X_37,X_36)) = join(join(X_35,X_36),X_37),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(join(X_35,X_36),X_37)) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_92,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_91]) ).
cnf(refute_0_93,plain,
join(join(X_35,X_36),X_37) = join(X_35,join(X_36,X_37)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_35)),bind(B,$fot(X_36)),bind(C,$fot(X_37))]]) ).
cnf(refute_0_94,plain,
( join(X_35,join(X_37,X_36)) != join(join(X_35,X_36),X_37)
| join(join(X_35,X_36),X_37) != join(X_35,join(X_36,X_37))
| join(X_35,join(X_37,X_36)) = join(X_35,join(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,join(X_37,X_36)),join(X_35,join(X_36,X_37))) ),[0],$fot(join(join(X_35,X_36),X_37))]]) ).
cnf(refute_0_95,plain,
( join(X_35,join(X_37,X_36)) != join(join(X_35,X_36),X_37)
| join(X_35,join(X_37,X_36)) = join(X_35,join(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_36),X_37),join(X_35,join(X_36,X_37))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
join(X_35,join(X_37,X_36)) = join(X_35,join(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(X_35,join(X_37,X_36)),join(join(X_35,X_36),X_37)) )],[refute_0_90,refute_0_95]) ).
cnf(refute_0_97,plain,
( join(X_35,join(X_37,X_36)) != join(X_35,join(X_36,X_37))
| join(X_35,join(X_36,X_37)) = join(X_35,join(X_37,X_36)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,join(X_37,X_36)))),bind(Y,$fot(join(X_35,join(X_36,X_37))))]]) ).
cnf(refute_0_98,plain,
join(X_35,join(X_36,X_37)) = join(X_35,join(X_37,X_36)),
inference(resolve,[$cnf( $equal(join(X_35,join(X_37,X_36)),join(X_35,join(X_36,X_37))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
join(zero,join(complement(meet(top,X_20)),complement(X_20))) = join(zero,join(complement(X_20),complement(meet(top,X_20)))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(zero)),bind(X_36,$fot(complement(meet(top,X_20)))),bind(X_37,$fot(complement(X_20)))]]) ).
cnf(refute_0_100,plain,
join(X_36,X_35) = join(X_35,X_36),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_36)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_101,plain,
( join(X_36,X_35) != join(X_35,X_36)
| join(X_35,X_36) = join(X_36,X_35) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_36,X_35))),bind(Y,$fot(join(X_35,X_36)))]]) ).
cnf(refute_0_102,plain,
join(X_35,X_36) = join(X_36,X_35),
inference(resolve,[$cnf( $equal(join(X_36,X_35),join(X_35,X_36)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( join(X_35,X_36) != join(X_36,X_35)
| join(X_35,join(X_36,X_37)) != join(join(X_35,X_36),X_37)
| join(X_35,join(X_36,X_37)) = join(join(X_36,X_35),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(join(X_35,X_36),X_37)) ),[1,0],$fot(join(X_36,X_35))]]) ).
cnf(refute_0_104,plain,
( join(X_35,join(X_36,X_37)) != join(join(X_35,X_36),X_37)
| join(X_35,join(X_36,X_37)) = join(join(X_36,X_35),X_37) ),
inference(resolve,[$cnf( $equal(join(X_35,X_36),join(X_36,X_35)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
join(X_35,join(X_36,X_37)) = join(join(X_36,X_35),X_37),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(join(X_35,X_36),X_37)) )],[refute_0_84,refute_0_104]) ).
cnf(refute_0_106,plain,
join(join(X_36,X_35),X_37) = join(X_36,join(X_35,X_37)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_36)),bind(B,$fot(X_35)),bind(C,$fot(X_37))]]) ).
cnf(refute_0_107,plain,
( join(X_35,join(X_36,X_37)) != join(join(X_36,X_35),X_37)
| join(join(X_36,X_35),X_37) != join(X_36,join(X_35,X_37))
| join(X_35,join(X_36,X_37)) = join(X_36,join(X_35,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,join(X_36,X_37)),join(X_36,join(X_35,X_37))) ),[0],$fot(join(join(X_36,X_35),X_37))]]) ).
cnf(refute_0_108,plain,
( join(X_35,join(X_36,X_37)) != join(join(X_36,X_35),X_37)
| join(X_35,join(X_36,X_37)) = join(X_36,join(X_35,X_37)) ),
inference(resolve,[$cnf( $equal(join(join(X_36,X_35),X_37),join(X_36,join(X_35,X_37))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
join(X_35,join(X_36,X_37)) = join(X_36,join(X_35,X_37)),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(join(X_36,X_35),X_37)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( join(X_35,join(X_36,X_37)) != join(X_36,join(X_35,X_37))
| join(X_36,join(X_35,X_37)) = join(X_35,join(X_36,X_37)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,join(X_36,X_37)))),bind(Y,$fot(join(X_36,join(X_35,X_37))))]]) ).
cnf(refute_0_111,plain,
join(X_36,join(X_35,X_37)) = join(X_35,join(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,X_37)),join(X_36,join(X_35,X_37))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
join(complement(meet(top,X_20)),join(zero,complement(X_20))) = join(zero,join(complement(meet(top,X_20)),complement(X_20))),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(zero)),bind(X_36,$fot(complement(meet(top,X_20)))),bind(X_37,$fot(complement(X_20)))]]) ).
cnf(refute_0_113,plain,
( join(complement(meet(top,X_20)),join(zero,complement(X_20))) != join(zero,join(complement(meet(top,X_20)),complement(X_20)))
| join(zero,join(complement(meet(top,X_20)),complement(X_20))) != join(zero,join(complement(X_20),complement(meet(top,X_20))))
| join(complement(meet(top,X_20)),join(zero,complement(X_20))) = join(zero,join(complement(X_20),complement(meet(top,X_20)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),bind(Y,$fot(join(zero,join(complement(meet(top,X_20)),complement(X_20))))),bind(Z,$fot(join(zero,join(complement(X_20),complement(meet(top,X_20))))))]]) ).
cnf(refute_0_114,plain,
( join(zero,join(complement(meet(top,X_20)),complement(X_20))) != join(zero,join(complement(X_20),complement(meet(top,X_20))))
| join(complement(meet(top,X_20)),join(zero,complement(X_20))) = join(zero,join(complement(X_20),complement(meet(top,X_20)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_20)),join(zero,complement(X_20))),join(zero,join(complement(meet(top,X_20)),complement(X_20)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
join(complement(meet(top,X_20)),join(zero,complement(X_20))) = join(zero,join(complement(X_20),complement(meet(top,X_20)))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(top,X_20)),complement(X_20))),join(zero,join(complement(X_20),complement(meet(top,X_20))))) )],[refute_0_99,refute_0_114]) ).
cnf(refute_0_116,plain,
complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) = complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))]]) ).
cnf(refute_0_117,plain,
( complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) != complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))
| join(complement(meet(top,X_20)),join(zero,complement(X_20))) != join(zero,join(complement(X_20),complement(meet(top,X_20))))
| complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) = complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) ),[1,0],$fot(join(zero,join(complement(X_20),complement(meet(top,X_20)))))]]) ).
cnf(refute_0_118,plain,
( join(complement(meet(top,X_20)),join(zero,complement(X_20))) != join(zero,join(complement(X_20),complement(meet(top,X_20))))
| complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) = complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))),complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) = complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_20)),join(zero,complement(X_20))),join(zero,join(complement(X_20),complement(meet(top,X_20))))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) = join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))))]]) ).
cnf(refute_0_121,plain,
( complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) != complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))
| join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) != join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))
| join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))]]) ).
cnf(refute_0_122,plain,
( complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))) != complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))
| join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))),complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
( join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| meet(top,X_20) != join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))
| meet(top,X_20) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_20),join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))))]]) ).
cnf(refute_0_125,plain,
( meet(top,X_20) != join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))
| meet(top,X_20) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20))))),join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
meet(top,X_20) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))),
inference(resolve,[$cnf( $equal(meet(top,X_20),join(zero,complement(join(complement(meet(top,X_20)),join(zero,complement(X_20)))))) )],[refute_0_83,refute_0_125]) ).
cnf(refute_0_127,plain,
join(zero,join(zero,C)) = join(join(zero,zero),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(zero))]]) ).
cnf(refute_0_128,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = join(complement(B),composition(converse(A),complement(composition(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_129,plain,
( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
| join(composition(converse(A),complement(composition(A,B))),complement(B)) != join(complement(B),composition(converse(A),complement(composition(A,B))))
| join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
introduced(tautology,[equality,[$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_130,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( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_130]) ).
cnf(refute_0_132,plain,
join(complement(top),composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(subst,[],[refute_0_131:[bind(B,$fot(top))]]) ).
cnf(refute_0_133,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_134,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( $equal(complement(top),zero) )],[refute_0_53,refute_0_133]) ).
cnf(refute_0_135,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
( complement(top) != zero
| join(zero,composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_137,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( $equal(complement(top),zero) )],[refute_0_53,refute_0_136]) ).
cnf(refute_0_138,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_135,refute_0_137]) ).
cnf(refute_0_139,plain,
join(zero,composition(converse(one),complement(composition(one,top)))) = zero,
inference(subst,[],[refute_0_138:[bind(A,$fot(one))]]) ).
cnf(refute_0_140,plain,
converse(composition(converse(A),X_27)) = composition(converse(X_27),converse(converse(A))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_27))]]) ).
cnf(refute_0_141,plain,
( converse(composition(converse(A),X_27)) != composition(converse(X_27),converse(converse(A)))
| converse(converse(A)) != A
| converse(composition(converse(A),X_27)) = composition(converse(X_27),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_27)),composition(converse(X_27),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_142,plain,
( converse(composition(converse(A),X_27)) != composition(converse(X_27),converse(converse(A)))
| converse(composition(converse(A),X_27)) = composition(converse(X_27),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_141]) ).
cnf(refute_0_143,plain,
converse(composition(converse(A),X_27)) = composition(converse(X_27),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_27)),composition(converse(X_27),converse(converse(A)))) )],[refute_0_140,refute_0_142]) ).
cnf(refute_0_144,plain,
converse(composition(converse(X_28),one)) = composition(converse(one),X_28),
inference(subst,[],[refute_0_143:[bind(A,$fot(X_28)),bind(X_27,$fot(one))]]) ).
cnf(refute_0_145,plain,
composition(converse(X_28),one) = converse(X_28),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_28)))]]) ).
cnf(refute_0_146,plain,
( composition(converse(X_28),one) != converse(X_28)
| converse(composition(converse(X_28),one)) != composition(converse(one),X_28)
| converse(converse(X_28)) = composition(converse(one),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_28),one)),composition(converse(one),X_28)) ),[0,0],$fot(converse(X_28))]]) ).
cnf(refute_0_147,plain,
( converse(composition(converse(X_28),one)) != composition(converse(one),X_28)
| converse(converse(X_28)) = composition(converse(one),X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(X_28),one),converse(X_28)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
converse(converse(X_28)) = composition(converse(one),X_28),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_28),one)),composition(converse(one),X_28)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
converse(converse(X_28)) = X_28,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_150,plain,
( converse(converse(X_28)) != X_28
| converse(converse(X_28)) != composition(converse(one),X_28)
| X_28 = composition(converse(one),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_28)),composition(converse(one),X_28)) ),[0],$fot(X_28)]]) ).
cnf(refute_0_151,plain,
( converse(converse(X_28)) != composition(converse(one),X_28)
| X_28 = composition(converse(one),X_28) ),
inference(resolve,[$cnf( $equal(converse(converse(X_28)),X_28) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
X_28 = composition(converse(one),X_28),
inference(resolve,[$cnf( $equal(converse(converse(X_28)),composition(converse(one),X_28)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_154,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_152:[bind(X_28,$fot(one))]]) ).
cnf(refute_0_155,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_156,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_158,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_153,refute_0_158]) ).
cnf(refute_0_160,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_161,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
composition(converse(one),X_28) = composition(converse(one),X_28),
introduced(tautology,[refl,[$fot(composition(converse(one),X_28))]]) ).
cnf(refute_0_163,plain,
( composition(converse(one),X_28) != composition(converse(one),X_28)
| converse(one) != one
| composition(converse(one),X_28) = composition(one,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_28),composition(converse(one),X_28)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_164,plain,
( converse(one) != one
| composition(converse(one),X_28) = composition(one,X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_28),composition(converse(one),X_28)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
composition(converse(one),X_28) = composition(one,X_28),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( X_28 != composition(converse(one),X_28)
| composition(converse(one),X_28) != composition(one,X_28)
| X_28 = composition(one,X_28) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_28,composition(one,X_28)) ),[0],$fot(composition(converse(one),X_28))]]) ).
cnf(refute_0_167,plain,
( X_28 != composition(converse(one),X_28)
| X_28 = composition(one,X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_28),composition(one,X_28)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
X_28 = composition(one,X_28),
inference(resolve,[$cnf( $equal(X_28,composition(converse(one),X_28)) )],[refute_0_152,refute_0_167]) ).
cnf(refute_0_169,plain,
top = composition(one,top),
inference(subst,[],[refute_0_168:[bind(X_28,$fot(top))]]) ).
cnf(refute_0_170,plain,
( top != composition(one,top)
| composition(one,top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(one,top)))]]) ).
cnf(refute_0_171,plain,
composition(one,top) = top,
inference(resolve,[$cnf( $equal(top,composition(one,top)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( composition(one,top) != top
| join(zero,composition(converse(one),complement(composition(one,top)))) != zero
| join(zero,composition(converse(one),complement(top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(composition(one,top)))),zero) ),[0,1,1,0],$fot(top)]]) ).
cnf(refute_0_173,plain,
( join(zero,composition(converse(one),complement(composition(one,top)))) != zero
| join(zero,composition(converse(one),complement(top))) = zero ),
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
join(zero,composition(converse(one),complement(top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(composition(one,top)))),zero) )],[refute_0_139,refute_0_173]) ).
cnf(refute_0_175,plain,
( X_28 != composition(one,X_28)
| composition(one,X_28) = X_28 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_28)),bind(Y,$fot(composition(one,X_28)))]]) ).
cnf(refute_0_176,plain,
composition(one,X_28) = X_28,
inference(resolve,[$cnf( $equal(X_28,composition(one,X_28)) )],[refute_0_168,refute_0_175]) ).
cnf(refute_0_177,plain,
composition(one,zero) = zero,
inference(subst,[],[refute_0_176:[bind(X_28,$fot(zero))]]) ).
cnf(refute_0_178,plain,
composition(one,complement(top)) = composition(one,complement(top)),
introduced(tautology,[refl,[$fot(composition(one,complement(top)))]]) ).
cnf(refute_0_179,plain,
( complement(top) != zero
| composition(one,complement(top)) != composition(one,complement(top))
| composition(one,complement(top)) = composition(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_180,plain,
( complement(top) != zero
| composition(one,complement(top)) = composition(one,zero) ),
inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
composition(one,complement(top)) = composition(one,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_180]) ).
cnf(refute_0_182,plain,
composition(converse(one),complement(top)) = composition(converse(one),complement(top)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(top)))]]) ).
cnf(refute_0_183,plain,
( composition(converse(one),complement(top)) != composition(converse(one),complement(top))
| converse(one) != one
| composition(converse(one),complement(top)) = composition(one,complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(top)),composition(converse(one),complement(top))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_184,plain,
( converse(one) != one
| composition(converse(one),complement(top)) = composition(one,complement(top)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(converse(one),complement(top))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
composition(converse(one),complement(top)) = composition(one,complement(top)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_161,refute_0_184]) ).
cnf(refute_0_186,plain,
( composition(converse(one),complement(top)) != composition(one,complement(top))
| composition(one,complement(top)) != composition(one,zero)
| composition(converse(one),complement(top)) = composition(one,zero) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(one),complement(top)))),bind(Y,$fot(composition(one,complement(top)))),bind(Z,$fot(composition(one,zero)))]]) ).
cnf(refute_0_187,plain,
( composition(one,complement(top)) != composition(one,zero)
| composition(converse(one),complement(top)) = composition(one,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(one,complement(top))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
composition(converse(one),complement(top)) = composition(one,zero),
inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,zero)) )],[refute_0_181,refute_0_187]) ).
cnf(refute_0_189,plain,
( composition(converse(one),complement(top)) != composition(one,zero)
| composition(one,zero) != zero
| composition(converse(one),complement(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(one),complement(top)))),bind(Y,$fot(composition(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_190,plain,
( composition(one,zero) != zero
| composition(converse(one),complement(top)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(one,zero)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
composition(converse(one),complement(top)) = zero,
inference(resolve,[$cnf( $equal(composition(one,zero),zero) )],[refute_0_177,refute_0_190]) ).
cnf(refute_0_192,plain,
join(zero,composition(converse(one),complement(top))) = join(zero,composition(converse(one),complement(top))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(one),complement(top))))]]) ).
cnf(refute_0_193,plain,
( composition(converse(one),complement(top)) != zero
| join(zero,composition(converse(one),complement(top))) != join(zero,composition(converse(one),complement(top)))
| join(zero,composition(converse(one),complement(top))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,composition(converse(one),complement(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_194,plain,
( composition(converse(one),complement(top)) != zero
| join(zero,composition(converse(one),complement(top))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,composition(converse(one),complement(top)))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
join(zero,composition(converse(one),complement(top))) = join(zero,zero),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),zero) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( join(zero,composition(converse(one),complement(top))) != join(zero,zero)
| join(zero,composition(converse(one),complement(top))) != zero
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),zero) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_197,plain,
( join(zero,composition(converse(one),complement(top))) != zero
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,zero)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),zero) )],[refute_0_174,refute_0_197]) ).
cnf(refute_0_199,plain,
( join(zero,join(zero,C)) != join(join(zero,zero),C)
| join(zero,zero) != zero
| join(zero,join(zero,C)) = join(zero,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,C)),join(join(zero,zero),C)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_200,plain,
( join(zero,join(zero,C)) != join(join(zero,zero),C)
| join(zero,join(zero,C)) = join(zero,C) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
join(zero,join(zero,C)) = join(zero,C),
inference(resolve,[$cnf( $equal(join(zero,join(zero,C)),join(join(zero,zero),C)) )],[refute_0_127,refute_0_200]) ).
cnf(refute_0_202,plain,
join(zero,join(zero,meet(X_78,X_78))) = join(zero,meet(X_78,X_78)),
inference(subst,[],[refute_0_201:[bind(C,$fot(meet(X_78,X_78)))]]) ).
cnf(refute_0_203,plain,
X_76 = join(meet(X_76,complement(X_76)),complement(join(complement(X_76),complement(X_76)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(complement(X_76)))]]) ).
cnf(refute_0_204,plain,
zero = meet(X_76,complement(X_76)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_76))]]) ).
cnf(refute_0_205,plain,
( zero != meet(X_76,complement(X_76))
| meet(X_76,complement(X_76)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_76,complement(X_76))))]]) ).
cnf(refute_0_206,plain,
meet(X_76,complement(X_76)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_76,complement(X_76))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( X_76 != join(meet(X_76,complement(X_76)),complement(join(complement(X_76),complement(X_76))))
| meet(X_76,complement(X_76)) != zero
| X_76 = join(zero,complement(join(complement(X_76),complement(X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,complement(X_76)),complement(join(complement(X_76),complement(X_76))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_208,plain,
( X_76 != join(meet(X_76,complement(X_76)),complement(join(complement(X_76),complement(X_76))))
| X_76 = join(zero,complement(join(complement(X_76),complement(X_76)))) ),
inference(resolve,[$cnf( $equal(meet(X_76,complement(X_76)),zero) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
X_76 = join(zero,complement(join(complement(X_76),complement(X_76)))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,complement(X_76)),complement(join(complement(X_76),complement(X_76))))) )],[refute_0_203,refute_0_208]) ).
cnf(refute_0_210,plain,
complement(join(complement(X_76),complement(X_76))) = meet(X_76,X_76),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_76)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_211,plain,
join(zero,complement(join(complement(X_76),complement(X_76)))) = join(zero,complement(join(complement(X_76),complement(X_76)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_76),complement(X_76)))))]]) ).
cnf(refute_0_212,plain,
( complement(join(complement(X_76),complement(X_76))) != meet(X_76,X_76)
| join(zero,complement(join(complement(X_76),complement(X_76)))) != join(zero,complement(join(complement(X_76),complement(X_76))))
| join(zero,complement(join(complement(X_76),complement(X_76)))) = join(zero,meet(X_76,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_76),complement(X_76)))),join(zero,complement(join(complement(X_76),complement(X_76))))) ),[1,1],$fot(meet(X_76,X_76))]]) ).
cnf(refute_0_213,plain,
( complement(join(complement(X_76),complement(X_76))) != meet(X_76,X_76)
| join(zero,complement(join(complement(X_76),complement(X_76)))) = join(zero,meet(X_76,X_76)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_76),complement(X_76)))),join(zero,complement(join(complement(X_76),complement(X_76))))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
join(zero,complement(join(complement(X_76),complement(X_76)))) = join(zero,meet(X_76,X_76)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_76),complement(X_76))),meet(X_76,X_76)) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
( X_76 != join(zero,complement(join(complement(X_76),complement(X_76))))
| join(zero,complement(join(complement(X_76),complement(X_76)))) != join(zero,meet(X_76,X_76))
| X_76 = join(zero,meet(X_76,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(zero,meet(X_76,X_76))) ),[0],$fot(join(zero,complement(join(complement(X_76),complement(X_76)))))]]) ).
cnf(refute_0_216,plain,
( X_76 != join(zero,complement(join(complement(X_76),complement(X_76))))
| X_76 = join(zero,meet(X_76,X_76)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_76),complement(X_76)))),join(zero,meet(X_76,X_76))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
X_76 = join(zero,meet(X_76,X_76)),
inference(resolve,[$cnf( $equal(X_76,join(zero,complement(join(complement(X_76),complement(X_76))))) )],[refute_0_209,refute_0_216]) ).
cnf(refute_0_218,plain,
X_78 = join(zero,meet(X_78,X_78)),
inference(subst,[],[refute_0_217:[bind(X_76,$fot(X_78))]]) ).
cnf(refute_0_219,plain,
( X_78 != join(zero,meet(X_78,X_78))
| join(zero,meet(X_78,X_78)) = X_78 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_78)),bind(Y,$fot(join(zero,meet(X_78,X_78))))]]) ).
cnf(refute_0_220,plain,
join(zero,meet(X_78,X_78)) = X_78,
inference(resolve,[$cnf( $equal(X_78,join(zero,meet(X_78,X_78))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
( join(zero,join(zero,meet(X_78,X_78))) != join(zero,meet(X_78,X_78))
| join(zero,meet(X_78,X_78)) != X_78
| join(zero,X_78) = join(zero,meet(X_78,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_78,X_78))),join(zero,meet(X_78,X_78))) ),[0,1],$fot(X_78)]]) ).
cnf(refute_0_222,plain,
( join(zero,join(zero,meet(X_78,X_78))) != join(zero,meet(X_78,X_78))
| join(zero,X_78) = join(zero,meet(X_78,X_78)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_78,X_78)),X_78) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
join(zero,X_78) = join(zero,meet(X_78,X_78)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_78,X_78))),join(zero,meet(X_78,X_78))) )],[refute_0_202,refute_0_222]) ).
cnf(refute_0_224,plain,
( join(zero,X_78) != join(zero,meet(X_78,X_78))
| join(zero,meet(X_78,X_78)) != X_78
| join(zero,X_78) = X_78 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_78),X_78) ),[0],$fot(join(zero,meet(X_78,X_78)))]]) ).
cnf(refute_0_225,plain,
( join(zero,X_78) != join(zero,meet(X_78,X_78))
| join(zero,X_78) = X_78 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_78,X_78)),X_78) )],[refute_0_220,refute_0_224]) ).
cnf(refute_0_226,plain,
join(zero,X_78) = X_78,
inference(resolve,[$cnf( $equal(join(zero,X_78),join(zero,meet(X_78,X_78))) )],[refute_0_223,refute_0_225]) ).
cnf(refute_0_227,plain,
join(zero,complement(B)) = complement(B),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(complement(B)))]]) ).
cnf(refute_0_228,plain,
complement(join(zero,complement(B))) = complement(join(zero,complement(B))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(B))))]]) ).
cnf(refute_0_229,plain,
( complement(join(zero,complement(B))) != complement(join(zero,complement(B)))
| join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_230,plain,
( join(zero,complement(B)) != complement(B)
| complement(join(zero,complement(B))) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(join(zero,complement(B)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
complement(join(zero,complement(B))) = complement(complement(B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
( complement(join(zero,complement(B))) != complement(complement(B))
| meet(top,B) != complement(join(zero,complement(B)))
| meet(top,B) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) ),[1],$fot(complement(complement(B)))]]) ).
cnf(refute_0_233,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| meet(top,B) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),complement(complement(B))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(top,B) = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_56,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(top,X_20) = complement(complement(X_20)),
inference(subst,[],[refute_0_234:[bind(B,$fot(X_20))]]) ).
cnf(refute_0_236,plain,
( meet(top,X_20) != complement(complement(X_20))
| meet(top,X_20) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| complement(complement(X_20)) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_20),join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))) ),[0],$fot(complement(complement(X_20)))]]) ).
cnf(refute_0_237,plain,
( meet(top,X_20) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| complement(complement(X_20)) = join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),
inference(resolve,[$cnf( $equal(meet(top,X_20),complement(complement(X_20))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
X_76 = join(meet(X_76,complement(complement(X_76))),complement(join(complement(X_76),complement(complement(X_76))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(complement(complement(X_76))))]]) ).
cnf(refute_0_239,plain,
top = join(complement(X_76),complement(complement(X_76))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_76)))]]) ).
cnf(refute_0_240,plain,
( top != join(complement(X_76),complement(complement(X_76)))
| join(complement(X_76),complement(complement(X_76))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_76),complement(complement(X_76)))))]]) ).
cnf(refute_0_241,plain,
join(complement(X_76),complement(complement(X_76))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_76),complement(complement(X_76)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( X_76 != join(meet(X_76,complement(complement(X_76))),complement(join(complement(X_76),complement(complement(X_76)))))
| join(complement(X_76),complement(complement(X_76))) != top
| X_76 = join(meet(X_76,complement(complement(X_76))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,complement(complement(X_76))),complement(join(complement(X_76),complement(complement(X_76)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_243,plain,
( X_76 != join(meet(X_76,complement(complement(X_76))),complement(join(complement(X_76),complement(complement(X_76)))))
| X_76 = join(meet(X_76,complement(complement(X_76))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_76),complement(complement(X_76))),top) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
X_76 = join(meet(X_76,complement(complement(X_76))),complement(top)),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,complement(complement(X_76))),complement(join(complement(X_76),complement(complement(X_76)))))) )],[refute_0_238,refute_0_243]) ).
cnf(refute_0_245,plain,
join(complement(top),meet(X_76,complement(complement(X_76)))) = join(complement(top),meet(X_76,complement(complement(X_76)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_76,complement(complement(X_76)))))]]) ).
cnf(refute_0_246,plain,
( complement(top) != zero
| join(complement(top),meet(X_76,complement(complement(X_76)))) != join(complement(top),meet(X_76,complement(complement(X_76))))
| join(complement(top),meet(X_76,complement(complement(X_76)))) = join(zero,meet(X_76,complement(complement(X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_76,complement(complement(X_76)))),join(complement(top),meet(X_76,complement(complement(X_76))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_247,plain,
( complement(top) != zero
| join(complement(top),meet(X_76,complement(complement(X_76)))) = join(zero,meet(X_76,complement(complement(X_76)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_76,complement(complement(X_76)))),join(complement(top),meet(X_76,complement(complement(X_76))))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
join(complement(top),meet(X_76,complement(complement(X_76)))) = join(zero,meet(X_76,complement(complement(X_76)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_247]) ).
cnf(refute_0_249,plain,
join(meet(X_76,complement(complement(X_76))),complement(top)) = join(complement(top),meet(X_76,complement(complement(X_76)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_76,complement(complement(X_76)))))]]) ).
cnf(refute_0_250,plain,
( join(complement(top),meet(X_76,complement(complement(X_76)))) != join(zero,meet(X_76,complement(complement(X_76))))
| join(meet(X_76,complement(complement(X_76))),complement(top)) != join(complement(top),meet(X_76,complement(complement(X_76))))
| join(meet(X_76,complement(complement(X_76))),complement(top)) = join(zero,meet(X_76,complement(complement(X_76)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_76,complement(complement(X_76))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_76,complement(complement(X_76)))))),bind(Z,$fot(join(zero,meet(X_76,complement(complement(X_76))))))]]) ).
cnf(refute_0_251,plain,
( join(complement(top),meet(X_76,complement(complement(X_76)))) != join(zero,meet(X_76,complement(complement(X_76))))
| join(meet(X_76,complement(complement(X_76))),complement(top)) = join(zero,meet(X_76,complement(complement(X_76)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_76,complement(complement(X_76))),complement(top)),join(complement(top),meet(X_76,complement(complement(X_76))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
join(meet(X_76,complement(complement(X_76))),complement(top)) = join(zero,meet(X_76,complement(complement(X_76)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_76,complement(complement(X_76)))),join(zero,meet(X_76,complement(complement(X_76))))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( X_76 != join(meet(X_76,complement(complement(X_76))),complement(top))
| join(meet(X_76,complement(complement(X_76))),complement(top)) != join(zero,meet(X_76,complement(complement(X_76))))
| X_76 = join(zero,meet(X_76,complement(complement(X_76)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(zero,meet(X_76,complement(complement(X_76))))) ),[0],$fot(join(meet(X_76,complement(complement(X_76))),complement(top)))]]) ).
cnf(refute_0_254,plain,
( X_76 != join(meet(X_76,complement(complement(X_76))),complement(top))
| X_76 = join(zero,meet(X_76,complement(complement(X_76)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_76,complement(complement(X_76))),complement(top)),join(zero,meet(X_76,complement(complement(X_76))))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
X_76 = join(zero,meet(X_76,complement(complement(X_76)))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,complement(complement(X_76))),complement(top))) )],[refute_0_244,refute_0_254]) ).
cnf(refute_0_256,plain,
join(zero,meet(X_76,complement(complement(X_76)))) = meet(X_76,complement(complement(X_76))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(meet(X_76,complement(complement(X_76)))))]]) ).
cnf(refute_0_257,plain,
( X_76 != join(zero,meet(X_76,complement(complement(X_76))))
| join(zero,meet(X_76,complement(complement(X_76)))) != meet(X_76,complement(complement(X_76)))
| X_76 = meet(X_76,complement(complement(X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,meet(X_76,complement(complement(X_76)))) ),[0],$fot(join(zero,meet(X_76,complement(complement(X_76)))))]]) ).
cnf(refute_0_258,plain,
( X_76 != join(zero,meet(X_76,complement(complement(X_76))))
| X_76 = meet(X_76,complement(complement(X_76))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_76,complement(complement(X_76)))),meet(X_76,complement(complement(X_76)))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
X_76 = meet(X_76,complement(complement(X_76))),
inference(resolve,[$cnf( $equal(X_76,join(zero,meet(X_76,complement(complement(X_76))))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( X_76 != meet(X_76,complement(complement(X_76)))
| meet(X_76,complement(complement(X_76))) = X_76 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_76)),bind(Y,$fot(meet(X_76,complement(complement(X_76)))))]]) ).
cnf(refute_0_261,plain,
meet(X_76,complement(complement(X_76))) = X_76,
inference(resolve,[$cnf( $equal(X_76,meet(X_76,complement(complement(X_76)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(X_20,complement(complement(X_20))) = X_20,
inference(subst,[],[refute_0_261:[bind(X_76,$fot(X_20))]]) ).
cnf(refute_0_263,plain,
complement(join(complement(X_20),complement(complement(complement(X_20))))) = meet(X_20,complement(complement(X_20))),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_20)),bind(B,$fot(complement(complement(X_20))))]]) ).
cnf(refute_0_264,plain,
( complement(join(complement(X_20),complement(complement(complement(X_20))))) != meet(X_20,complement(complement(X_20)))
| meet(X_20,complement(complement(X_20))) != X_20
| complement(join(complement(X_20),complement(complement(complement(X_20))))) = X_20 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(X_20),complement(complement(complement(X_20))))))),bind(Y,$fot(meet(X_20,complement(complement(X_20))))),bind(Z,$fot(X_20))]]) ).
cnf(refute_0_265,plain,
( meet(X_20,complement(complement(X_20))) != X_20
| complement(join(complement(X_20),complement(complement(complement(X_20))))) = X_20 ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_20),complement(complement(complement(X_20))))),meet(X_20,complement(complement(X_20)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
complement(join(complement(X_20),complement(complement(complement(X_20))))) = X_20,
inference(resolve,[$cnf( $equal(meet(X_20,complement(complement(X_20))),X_20) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
complement(meet(top,X_20)) = complement(meet(top,X_20)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_20)))]]) ).
cnf(refute_0_268,plain,
( complement(meet(top,X_20)) != complement(meet(top,X_20))
| meet(top,X_20) != complement(complement(X_20))
| complement(meet(top,X_20)) = complement(complement(complement(X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_20)),complement(meet(top,X_20))) ),[1,0],$fot(complement(complement(X_20)))]]) ).
cnf(refute_0_269,plain,
( meet(top,X_20) != complement(complement(X_20))
| complement(meet(top,X_20)) = complement(complement(complement(X_20))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_20)),complement(meet(top,X_20))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
complement(meet(top,X_20)) = complement(complement(complement(X_20))),
inference(resolve,[$cnf( $equal(meet(top,X_20),complement(complement(X_20))) )],[refute_0_235,refute_0_269]) ).
cnf(refute_0_271,plain,
join(complement(X_20),complement(meet(top,X_20))) = join(complement(X_20),complement(meet(top,X_20))),
introduced(tautology,[refl,[$fot(join(complement(X_20),complement(meet(top,X_20))))]]) ).
cnf(refute_0_272,plain,
( complement(meet(top,X_20)) != complement(complement(complement(X_20)))
| join(complement(X_20),complement(meet(top,X_20))) != join(complement(X_20),complement(meet(top,X_20)))
| join(complement(X_20),complement(meet(top,X_20))) = join(complement(X_20),complement(complement(complement(X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),complement(meet(top,X_20))),join(complement(X_20),complement(meet(top,X_20)))) ),[1,1],$fot(complement(complement(complement(X_20))))]]) ).
cnf(refute_0_273,plain,
( complement(meet(top,X_20)) != complement(complement(complement(X_20)))
| join(complement(X_20),complement(meet(top,X_20))) = join(complement(X_20),complement(complement(complement(X_20)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),complement(meet(top,X_20))),join(complement(X_20),complement(meet(top,X_20)))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(complement(X_20),complement(meet(top,X_20))) = join(complement(X_20),complement(complement(complement(X_20)))),
inference(resolve,[$cnf( $equal(complement(meet(top,X_20)),complement(complement(complement(X_20)))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
join(zero,join(complement(X_20),complement(meet(top,X_20)))) = join(complement(X_20),complement(meet(top,X_20))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(join(complement(X_20),complement(meet(top,X_20)))))]]) ).
cnf(refute_0_276,plain,
( join(complement(X_20),complement(meet(top,X_20))) != join(complement(X_20),complement(complement(complement(X_20))))
| join(zero,join(complement(X_20),complement(meet(top,X_20)))) != join(complement(X_20),complement(meet(top,X_20)))
| join(zero,join(complement(X_20),complement(meet(top,X_20)))) = join(complement(X_20),complement(complement(complement(X_20)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(X_20),complement(meet(top,X_20)))))),bind(Y,$fot(join(complement(X_20),complement(meet(top,X_20))))),bind(Z,$fot(join(complement(X_20),complement(complement(complement(X_20))))))]]) ).
cnf(refute_0_277,plain,
( join(complement(X_20),complement(meet(top,X_20))) != join(complement(X_20),complement(complement(complement(X_20))))
| join(zero,join(complement(X_20),complement(meet(top,X_20)))) = join(complement(X_20),complement(complement(complement(X_20)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_20),complement(meet(top,X_20)))),join(complement(X_20),complement(meet(top,X_20)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
join(zero,join(complement(X_20),complement(meet(top,X_20)))) = join(complement(X_20),complement(complement(complement(X_20)))),
inference(resolve,[$cnf( $equal(join(complement(X_20),complement(meet(top,X_20))),join(complement(X_20),complement(complement(complement(X_20))))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),
introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))]]) ).
cnf(refute_0_280,plain,
( complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) != complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))
| join(zero,join(complement(X_20),complement(meet(top,X_20)))) != join(complement(X_20),complement(complement(complement(X_20))))
| complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = complement(join(complement(X_20),complement(complement(complement(X_20))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) ),[1,0],$fot(join(complement(X_20),complement(complement(complement(X_20)))))]]) ).
cnf(refute_0_281,plain,
( join(zero,join(complement(X_20),complement(meet(top,X_20)))) != join(complement(X_20),complement(complement(complement(X_20))))
| complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = complement(join(complement(X_20),complement(complement(complement(X_20))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = complement(join(complement(X_20),complement(complement(complement(X_20))))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_20),complement(meet(top,X_20)))),join(complement(X_20),complement(complement(complement(X_20))))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( complement(join(complement(X_20),complement(complement(complement(X_20))))) != X_20
| complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) != complement(join(complement(X_20),complement(complement(complement(X_20)))))
| complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = X_20 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))),bind(Y,$fot(complement(join(complement(X_20),complement(complement(complement(X_20))))))),bind(Z,$fot(X_20))]]) ).
cnf(refute_0_284,plain,
( complement(join(complement(X_20),complement(complement(complement(X_20))))) != X_20
| complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = X_20 ),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),complement(join(complement(X_20),complement(complement(complement(X_20)))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) = X_20,
inference(resolve,[$cnf( $equal(complement(join(complement(X_20),complement(complement(complement(X_20))))),X_20) )],[refute_0_266,refute_0_284]) ).
cnf(refute_0_286,plain,
join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) = complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))))]]) ).
cnf(refute_0_287,plain,
( complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) != X_20
| join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) != complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))
| join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) = X_20 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))))),bind(Y,$fot(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))),bind(Z,$fot(X_20))]]) ).
cnf(refute_0_288,plain,
( complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))) != X_20
| join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) = X_20 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))),complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) = X_20,
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))),X_20) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( complement(complement(X_20)) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))) != X_20
| complement(complement(X_20)) = X_20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_20)),X_20) ),[0],$fot(join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))))]]) ).
cnf(refute_0_291,plain,
( complement(complement(X_20)) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| complement(complement(X_20)) = X_20 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20)))))),X_20) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
( meet(top,X_20) != join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))
| complement(complement(X_20)) = X_20 ),
inference(resolve,[$cnf( $equal(complement(complement(X_20)),join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))) )],[refute_0_237,refute_0_291]) ).
cnf(refute_0_293,plain,
complement(complement(X_20)) = X_20,
inference(resolve,[$cnf( $equal(meet(top,X_20),join(zero,complement(join(zero,join(complement(X_20),complement(meet(top,X_20))))))) )],[refute_0_126,refute_0_292]) ).
cnf(refute_0_294,plain,
complement(complement(meet(sk1,converse(sk2)))) = meet(sk1,converse(sk2)),
inference(subst,[],[refute_0_293:[bind(X_20,$fot(meet(sk1,converse(sk2))))]]) ).
cnf(refute_0_295,plain,
join(complement(sk1),join(converse(complement(sk2)),C)) = join(join(complement(sk1),converse(complement(sk2))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(complement(sk2))))]]) ).
cnf(refute_0_296,plain,
top = join(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_17),complement(X_18))))]]) ).
cnf(refute_0_297,plain,
( complement(join(complement(X_17),complement(X_18))) != meet(X_17,X_18)
| top != join(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))
| top = join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))) ),[1,1],$fot(meet(X_17,X_18))]]) ).
cnf(refute_0_298,plain,
( top != join(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))
| top = join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_17),complement(X_18))),meet(X_17,X_18)) )],[refute_0_30,refute_0_297]) ).
cnf(refute_0_299,plain,
top = join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_17),complement(X_18)),complement(join(complement(X_17),complement(X_18))))) )],[refute_0_296,refute_0_298]) ).
cnf(refute_0_300,plain,
join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) = join(complement(X_17),join(complement(X_18),meet(X_17,X_18))),
inference(subst,[],[refute_0_92:[bind(A,$fot(complement(X_17))),bind(B,$fot(complement(X_18))),bind(C,$fot(meet(X_17,X_18)))]]) ).
cnf(refute_0_301,plain,
( join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)) != join(complement(X_17),join(complement(X_18),meet(X_17,X_18)))
| top != join(join(complement(X_17),complement(X_18)),meet(X_17,X_18))
| top = join(complement(X_17),join(complement(X_18),meet(X_17,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_17),complement(X_18)),meet(X_17,X_18))) ),[1],$fot(join(complement(X_17),join(complement(X_18),meet(X_17,X_18))))]]) ).
cnf(refute_0_302,plain,
( top != join(join(complement(X_17),complement(X_18)),meet(X_17,X_18))
| top = join(complement(X_17),join(complement(X_18),meet(X_17,X_18))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_17),complement(X_18)),meet(X_17,X_18)),join(complement(X_17),join(complement(X_18),meet(X_17,X_18)))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
top = join(complement(X_17),join(complement(X_18),meet(X_17,X_18))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_17),complement(X_18)),meet(X_17,X_18))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
top = join(complement(X_17),join(complement(complement(X_145)),meet(X_17,complement(X_145)))),
inference(subst,[],[refute_0_303:[bind(X_18,$fot(complement(X_145)))]]) ).
cnf(refute_0_305,plain,
complement(complement(X_145)) = X_145,
inference(subst,[],[refute_0_293:[bind(X_20,$fot(X_145))]]) ).
cnf(refute_0_306,plain,
( complement(complement(X_145)) != X_145
| top != join(complement(X_17),join(complement(complement(X_145)),meet(X_17,complement(X_145))))
| top = join(complement(X_17),join(X_145,meet(X_17,complement(X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_17),join(complement(complement(X_145)),meet(X_17,complement(X_145))))) ),[1,1,0],$fot(X_145)]]) ).
cnf(refute_0_307,plain,
( top != join(complement(X_17),join(complement(complement(X_145)),meet(X_17,complement(X_145))))
| top = join(complement(X_17),join(X_145,meet(X_17,complement(X_145)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_145)),X_145) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
top = join(complement(X_17),join(X_145,meet(X_17,complement(X_145)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_17),join(complement(complement(X_145)),meet(X_17,complement(X_145))))) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
top = join(complement(sk1),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))),
inference(subst,[],[refute_0_308:[bind(X_145,$fot(converse(complement(sk2)))),bind(X_17,$fot(sk1))]]) ).
cnf(refute_0_310,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) = join(join(sk1,meet(sk1,complement(converse(complement(sk2))))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(meet(sk1,complement(converse(complement(sk2))))))]]) ).
cnf(refute_0_311,plain,
X_76 = join(meet(X_76,complement(B)),complement(join(complement(X_76),complement(B)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_312,plain,
meet(X_76,B) = complement(join(complement(X_76),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_76))]]) ).
cnf(refute_0_313,plain,
( meet(X_76,B) != complement(join(complement(X_76),complement(B)))
| complement(join(complement(X_76),complement(B))) = meet(X_76,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_76,B))),bind(Y,$fot(complement(join(complement(X_76),complement(B)))))]]) ).
cnf(refute_0_314,plain,
complement(join(complement(X_76),complement(B))) = meet(X_76,B),
inference(resolve,[$cnf( $equal(meet(X_76,B),complement(join(complement(X_76),complement(B)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( X_76 != join(meet(X_76,complement(B)),complement(join(complement(X_76),complement(B))))
| complement(join(complement(X_76),complement(B))) != meet(X_76,B)
| X_76 = join(meet(X_76,complement(B)),meet(X_76,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,complement(B)),complement(join(complement(X_76),complement(B))))) ),[1,1],$fot(meet(X_76,B))]]) ).
cnf(refute_0_316,plain,
( X_76 != join(meet(X_76,complement(B)),complement(join(complement(X_76),complement(B))))
| X_76 = join(meet(X_76,complement(B)),meet(X_76,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_76),complement(B))),meet(X_76,B)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
X_76 = join(meet(X_76,complement(B)),meet(X_76,B)),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,complement(B)),complement(join(complement(X_76),complement(B))))) )],[refute_0_311,refute_0_316]) ).
cnf(refute_0_318,plain,
join(meet(X_76,complement(B)),meet(X_76,B)) = join(meet(X_76,B),meet(X_76,complement(B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(X_76,B))),bind(B,$fot(meet(X_76,complement(B))))]]) ).
cnf(refute_0_319,plain,
( X_76 != join(meet(X_76,complement(B)),meet(X_76,B))
| join(meet(X_76,complement(B)),meet(X_76,B)) != join(meet(X_76,B),meet(X_76,complement(B)))
| X_76 = join(meet(X_76,B),meet(X_76,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(meet(X_76,B),meet(X_76,complement(B)))) ),[0],$fot(join(meet(X_76,complement(B)),meet(X_76,B)))]]) ).
cnf(refute_0_320,plain,
( X_76 != join(meet(X_76,complement(B)),meet(X_76,B))
| X_76 = join(meet(X_76,B),meet(X_76,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_76,complement(B)),meet(X_76,B)),join(meet(X_76,B),meet(X_76,complement(B)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
X_76 = join(meet(X_76,B),meet(X_76,complement(B))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,complement(B)),meet(X_76,B))) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
sk1 = join(meet(sk1,converse(complement(sk2))),meet(sk1,complement(converse(complement(sk2))))),
inference(subst,[],[refute_0_321:[bind(B,$fot(converse(complement(sk2)))),bind(X_76,$fot(sk1))]]) ).
cnf(refute_0_323,plain,
X_76 = join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(complement(X_76),join(complement(complement(X_76)),X_37)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(join(complement(complement(X_76)),X_37)))]]) ).
cnf(refute_0_324,plain,
join(X_35,join(complement(X_35),X_37)) = join(join(X_35,complement(X_35)),X_37),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(complement(X_35))),bind(C,$fot(X_37))]]) ).
cnf(refute_0_325,plain,
top = join(X_35,complement(X_35)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_326,plain,
( top != join(X_35,complement(X_35))
| join(X_35,complement(X_35)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_35,complement(X_35))))]]) ).
cnf(refute_0_327,plain,
join(X_35,complement(X_35)) = top,
inference(resolve,[$cnf( $equal(top,join(X_35,complement(X_35))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( join(X_35,complement(X_35)) != top
| join(X_35,join(complement(X_35),X_37)) != join(join(X_35,complement(X_35)),X_37)
| join(X_35,join(complement(X_35),X_37)) = join(top,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(complement(X_35),X_37)),join(join(X_35,complement(X_35)),X_37)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_329,plain,
( join(X_35,join(complement(X_35),X_37)) != join(join(X_35,complement(X_35)),X_37)
| join(X_35,join(complement(X_35),X_37)) = join(top,X_37) ),
inference(resolve,[$cnf( $equal(join(X_35,complement(X_35)),top) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
join(X_35,join(complement(X_35),X_37)) = join(top,X_37),
inference(resolve,[$cnf( $equal(join(X_35,join(complement(X_35),X_37)),join(join(X_35,complement(X_35)),X_37)) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
join(complement(X_76),join(complement(complement(X_76)),X_37)) = join(top,X_37),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(complement(X_76)))]]) ).
cnf(refute_0_332,plain,
( X_76 != join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(complement(X_76),join(complement(complement(X_76)),X_37))))
| join(complement(X_76),join(complement(complement(X_76)),X_37)) != join(top,X_37)
| X_76 = join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(complement(X_76),join(complement(complement(X_76)),X_37))))) ),[1,1,0],$fot(join(top,X_37))]]) ).
cnf(refute_0_333,plain,
( X_76 != join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(complement(X_76),join(complement(complement(X_76)),X_37))))
| X_76 = join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))) ),
inference(resolve,[$cnf( $equal(join(complement(X_76),join(complement(complement(X_76)),X_37)),join(top,X_37)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
X_76 = join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(complement(X_76),join(complement(complement(X_76)),X_37))))) )],[refute_0_323,refute_0_333]) ).
cnf(refute_0_335,plain,
join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))) = join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(top,X_37)))),bind(B,$fot(meet(X_76,join(complement(complement(X_76)),X_37))))]]) ).
cnf(refute_0_336,plain,
( X_76 != join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37)))
| join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))) != join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))
| X_76 = join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))) ),[0],$fot(join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))))]]) ).
cnf(refute_0_337,plain,
( X_76 != join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37)))
| X_76 = join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37))),join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
X_76 = join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,join(complement(complement(X_76)),X_37)),complement(join(top,X_37)))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
complement(complement(X_76)) = X_76,
inference(subst,[],[refute_0_293:[bind(X_20,$fot(X_76))]]) ).
cnf(refute_0_340,plain,
join(complement(complement(X_76)),X_37) = join(complement(complement(X_76)),X_37),
introduced(tautology,[refl,[$fot(join(complement(complement(X_76)),X_37))]]) ).
cnf(refute_0_341,plain,
( complement(complement(X_76)) != X_76
| join(complement(complement(X_76)),X_37) != join(complement(complement(X_76)),X_37)
| join(complement(complement(X_76)),X_37) = join(X_76,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_76)),X_37),join(complement(complement(X_76)),X_37)) ),[1,0],$fot(X_76)]]) ).
cnf(refute_0_342,plain,
( complement(complement(X_76)) != X_76
| join(complement(complement(X_76)),X_37) = join(X_76,X_37) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_76)),X_37),join(complement(complement(X_76)),X_37)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
join(complement(complement(X_76)),X_37) = join(X_76,X_37),
inference(resolve,[$cnf( $equal(complement(complement(X_76)),X_76) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
meet(X_76,join(complement(complement(X_76)),X_37)) = meet(X_76,join(complement(complement(X_76)),X_37)),
introduced(tautology,[refl,[$fot(meet(X_76,join(complement(complement(X_76)),X_37)))]]) ).
cnf(refute_0_345,plain,
( join(complement(complement(X_76)),X_37) != join(X_76,X_37)
| meet(X_76,join(complement(complement(X_76)),X_37)) != meet(X_76,join(complement(complement(X_76)),X_37))
| meet(X_76,join(complement(complement(X_76)),X_37)) = meet(X_76,join(X_76,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_76,join(complement(complement(X_76)),X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) ),[1,1],$fot(join(X_76,X_37))]]) ).
cnf(refute_0_346,plain,
( join(complement(complement(X_76)),X_37) != join(X_76,X_37)
| meet(X_76,join(complement(complement(X_76)),X_37)) = meet(X_76,join(X_76,X_37)) ),
inference(resolve,[$cnf( $equal(meet(X_76,join(complement(complement(X_76)),X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
meet(X_76,join(complement(complement(X_76)),X_37)) = meet(X_76,join(X_76,X_37)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_76)),X_37),join(X_76,X_37)) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) = join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))))]]) ).
cnf(refute_0_349,plain,
( join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) != join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))
| meet(X_76,join(complement(complement(X_76)),X_37)) != meet(X_76,join(X_76,X_37))
| join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))) ),[1,1],$fot(meet(X_76,join(X_76,X_37)))]]) ).
cnf(refute_0_350,plain,
( meet(X_76,join(complement(complement(X_76)),X_37)) != meet(X_76,join(X_76,X_37))
| join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),
inference(resolve,[$cnf( $equal(meet(X_76,join(complement(complement(X_76)),X_37)),meet(X_76,join(X_76,X_37))) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
( X_76 != join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))
| join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))) != join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))
| X_76 = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))) ),[0],$fot(join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))))]]) ).
cnf(refute_0_353,plain,
( X_76 != join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))
| X_76 = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37))),join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
X_76 = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),
inference(resolve,[$cnf( $equal(X_76,join(complement(join(top,X_37)),meet(X_76,join(complement(complement(X_76)),X_37)))) )],[refute_0_338,refute_0_353]) ).
cnf(refute_0_355,plain,
join(zero,meet(X_76,join(X_76,X_37))) = meet(X_76,join(X_76,X_37)),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(meet(X_76,join(X_76,X_37))))]]) ).
cnf(refute_0_356,plain,
join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))))]]) ).
cnf(refute_0_357,plain,
join(converse(X_7),converse(X_6)) = join(converse(X_6),converse(X_7)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(X_7))),bind(B,$fot(converse(X_6)))]]) ).
cnf(refute_0_358,plain,
converse(join(X_6,X_7)) = join(converse(X_6),converse(X_7)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_359,plain,
( converse(join(X_6,X_7)) != join(converse(X_6),converse(X_7))
| join(converse(X_6),converse(X_7)) = converse(join(X_6,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_6,X_7)))),bind(Y,$fot(join(converse(X_6),converse(X_7))))]]) ).
cnf(refute_0_360,plain,
join(converse(X_6),converse(X_7)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(converse(join(X_6,X_7)),join(converse(X_6),converse(X_7))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
( join(converse(X_6),converse(X_7)) != converse(join(X_6,X_7))
| join(converse(X_7),converse(X_6)) != join(converse(X_6),converse(X_7))
| join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_7),converse(X_6)),join(converse(X_6),converse(X_7))) ),[1],$fot(converse(join(X_6,X_7)))]]) ).
cnf(refute_0_362,plain,
( join(converse(X_7),converse(X_6)) != join(converse(X_6),converse(X_7))
| join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),converse(X_7)),converse(join(X_6,X_7))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),join(converse(X_6),converse(X_7))) )],[refute_0_357,refute_0_362]) ).
cnf(refute_0_364,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_365,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_364]) ).
cnf(refute_0_366,plain,
join(converse(X_7),converse(X_6)) = converse(join(X_7,X_6)),
inference(subst,[],[refute_0_365:[bind(A,$fot(X_7)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_367,plain,
( join(converse(X_7),converse(X_6)) != converse(join(X_6,X_7))
| join(converse(X_7),converse(X_6)) != converse(join(X_7,X_6))
| converse(join(X_7,X_6)) = converse(join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_6,X_7))) ),[0],$fot(converse(join(X_7,X_6)))]]) ).
cnf(refute_0_368,plain,
( join(converse(X_7),converse(X_6)) != converse(join(X_6,X_7))
| converse(join(X_7,X_6)) = converse(join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_7,X_6))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
converse(join(X_7,X_6)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_6,X_7))) )],[refute_0_363,refute_0_368]) ).
cnf(refute_0_370,plain,
converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(sk1)),bind(X_7,$fot(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))]]) ).
cnf(refute_0_371,plain,
top = join(join(X_35,X_36),complement(join(X_35,X_36))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(X_35,X_36)))]]) ).
cnf(refute_0_372,plain,
join(X_35,join(X_36,complement(join(X_35,X_36)))) = join(join(X_35,X_36),complement(join(X_35,X_36))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(X_36)),bind(C,$fot(complement(join(X_35,X_36))))]]) ).
cnf(refute_0_373,plain,
( join(X_35,join(X_36,complement(join(X_35,X_36)))) != join(join(X_35,X_36),complement(join(X_35,X_36)))
| join(join(X_35,X_36),complement(join(X_35,X_36))) = join(X_35,join(X_36,complement(join(X_35,X_36)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,join(X_36,complement(join(X_35,X_36)))))),bind(Y,$fot(join(join(X_35,X_36),complement(join(X_35,X_36)))))]]) ).
cnf(refute_0_374,plain,
join(join(X_35,X_36),complement(join(X_35,X_36))) = join(X_35,join(X_36,complement(join(X_35,X_36)))),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,complement(join(X_35,X_36)))),join(join(X_35,X_36),complement(join(X_35,X_36)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( join(join(X_35,X_36),complement(join(X_35,X_36))) != join(X_35,join(X_36,complement(join(X_35,X_36))))
| top != join(join(X_35,X_36),complement(join(X_35,X_36)))
| top = join(X_35,join(X_36,complement(join(X_35,X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_35,X_36),complement(join(X_35,X_36)))) ),[1],$fot(join(X_35,join(X_36,complement(join(X_35,X_36)))))]]) ).
cnf(refute_0_376,plain,
( top != join(join(X_35,X_36),complement(join(X_35,X_36)))
| top = join(X_35,join(X_36,complement(join(X_35,X_36)))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_36),complement(join(X_35,X_36))),join(X_35,join(X_36,complement(join(X_35,X_36))))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
top = join(X_35,join(X_36,complement(join(X_35,X_36)))),
inference(resolve,[$cnf( $equal(top,join(join(X_35,X_36),complement(join(X_35,X_36)))) )],[refute_0_371,refute_0_376]) ).
cnf(refute_0_378,plain,
top = join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(join(sk1,converse(join(top,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(sk1)),bind(X_36,$fot(converse(join(top,complement(converse(sk1))))))]]) ).
cnf(refute_0_379,plain,
converse(join(join(complement(sk2),complement(converse(sk1))),top)) = converse(join(top,join(complement(sk2),complement(converse(sk1))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(top)),bind(X_7,$fot(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_380,plain,
join(top,join(zero,X_37)) = join(join(top,zero),X_37),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(zero)),bind(C,$fot(X_37))]]) ).
cnf(refute_0_381,plain,
top = join(top,complement(top)),
inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).
cnf(refute_0_382,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_383,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_382]) ).
cnf(refute_0_384,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_381,refute_0_383]) ).
cnf(refute_0_385,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_386,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( join(top,join(zero,X_37)) != join(join(top,zero),X_37)
| join(top,zero) != top
| join(top,join(zero,X_37)) = join(top,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_37)),join(join(top,zero),X_37)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_388,plain,
( join(top,join(zero,X_37)) != join(join(top,zero),X_37)
| join(top,join(zero,X_37)) = join(top,X_37) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
join(top,join(zero,X_37)) = join(top,X_37),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_37)),join(join(top,zero),X_37)) )],[refute_0_380,refute_0_388]) ).
cnf(refute_0_390,plain,
join(top,join(zero,join(complement(sk2),complement(converse(sk1))))) = join(top,join(complement(sk2),complement(converse(sk1)))),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_391,plain,
join(join(zero,complement(converse(sk1))),complement(sk2)) = join(complement(sk2),join(zero,complement(converse(sk1)))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(zero,complement(converse(sk1))))),bind(B,$fot(complement(sk2)))]]) ).
cnf(refute_0_392,plain,
top = join(complement(sk2),join(complement(converse(sk1)),meet(sk2,converse(sk1)))),
inference(subst,[],[refute_0_303:[bind(X_17,$fot(sk2)),bind(X_18,$fot(converse(sk1)))]]) ).
cnf(refute_0_393,plain,
meet(converse(sk1),sk2) = meet(sk2,converse(sk1)),
inference(subst,[],[refute_0_74:[bind(X_17,$fot(sk2)),bind(X_18,$fot(converse(sk1)))]]) ).
cnf(refute_0_394,plain,
( meet(converse(sk1),sk2) != meet(sk2,converse(sk1))
| meet(converse(sk1),sk2) != zero
| meet(sk2,converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),sk2),zero) ),[0],$fot(meet(sk2,converse(sk1)))]]) ).
cnf(refute_0_395,plain,
( meet(converse(sk1),sk2) != zero
| meet(sk2,converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),sk2),meet(sk2,converse(sk1))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
meet(sk2,converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(sk1),sk2),zero) )],[goals_14,refute_0_395]) ).
cnf(refute_0_397,plain,
( meet(sk2,converse(sk1)) != zero
| top != join(complement(sk2),join(complement(converse(sk1)),meet(sk2,converse(sk1))))
| top = join(complement(sk2),join(complement(converse(sk1)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(sk2),join(complement(converse(sk1)),meet(sk2,converse(sk1))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_398,plain,
( top != join(complement(sk2),join(complement(converse(sk1)),meet(sk2,converse(sk1))))
| top = join(complement(sk2),join(complement(converse(sk1)),zero)) ),
inference(resolve,[$cnf( $equal(meet(sk2,converse(sk1)),zero) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
top = join(complement(sk2),join(complement(converse(sk1)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(sk2),join(complement(converse(sk1)),meet(sk2,converse(sk1))))) )],[refute_0_392,refute_0_398]) ).
cnf(refute_0_400,plain,
join(complement(converse(sk1)),zero) = join(zero,complement(converse(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_401,plain,
join(complement(sk2),join(complement(converse(sk1)),zero)) = join(complement(sk2),join(complement(converse(sk1)),zero)),
introduced(tautology,[refl,[$fot(join(complement(sk2),join(complement(converse(sk1)),zero)))]]) ).
cnf(refute_0_402,plain,
( join(complement(converse(sk1)),zero) != join(zero,complement(converse(sk1)))
| join(complement(sk2),join(complement(converse(sk1)),zero)) != join(complement(sk2),join(complement(converse(sk1)),zero))
| join(complement(sk2),join(complement(converse(sk1)),zero)) = join(complement(sk2),join(zero,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),zero)),join(complement(sk2),join(complement(converse(sk1)),zero))) ),[1,1],$fot(join(zero,complement(converse(sk1))))]]) ).
cnf(refute_0_403,plain,
( join(complement(converse(sk1)),zero) != join(zero,complement(converse(sk1)))
| join(complement(sk2),join(complement(converse(sk1)),zero)) = join(complement(sk2),join(zero,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),zero)),join(complement(sk2),join(complement(converse(sk1)),zero))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
join(complement(sk2),join(complement(converse(sk1)),zero)) = join(complement(sk2),join(zero,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),zero),join(zero,complement(converse(sk1)))) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
( join(complement(sk2),join(complement(converse(sk1)),zero)) != join(complement(sk2),join(zero,complement(converse(sk1))))
| top != join(complement(sk2),join(complement(converse(sk1)),zero))
| top = join(complement(sk2),join(zero,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(sk2),join(complement(converse(sk1)),zero))) ),[1],$fot(join(complement(sk2),join(zero,complement(converse(sk1)))))]]) ).
cnf(refute_0_406,plain,
( top != join(complement(sk2),join(complement(converse(sk1)),zero))
| top = join(complement(sk2),join(zero,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),zero)),join(complement(sk2),join(zero,complement(converse(sk1))))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
top = join(complement(sk2),join(zero,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(top,join(complement(sk2),join(complement(converse(sk1)),zero))) )],[refute_0_399,refute_0_406]) ).
cnf(refute_0_408,plain,
( top != join(complement(sk2),join(zero,complement(converse(sk1))))
| join(complement(sk2),join(zero,complement(converse(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(sk2),join(zero,complement(converse(sk1))))))]]) ).
cnf(refute_0_409,plain,
join(complement(sk2),join(zero,complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(sk2),join(zero,complement(converse(sk1))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
( join(complement(sk2),join(zero,complement(converse(sk1)))) != top
| join(join(zero,complement(converse(sk1))),complement(sk2)) != join(complement(sk2),join(zero,complement(converse(sk1))))
| join(join(zero,complement(converse(sk1))),complement(sk2)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),join(complement(sk2),join(zero,complement(converse(sk1))))) ),[1],$fot(top)]]) ).
cnf(refute_0_411,plain,
( join(join(zero,complement(converse(sk1))),complement(sk2)) != join(complement(sk2),join(zero,complement(converse(sk1))))
| join(join(zero,complement(converse(sk1))),complement(sk2)) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(zero,complement(converse(sk1)))),top) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
join(join(zero,complement(converse(sk1))),complement(sk2)) = top,
inference(resolve,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),join(complement(sk2),join(zero,complement(converse(sk1))))) )],[refute_0_391,refute_0_411]) ).
cnf(refute_0_413,plain,
join(complement(converse(sk1)),complement(sk2)) = join(complement(sk2),complement(converse(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(sk2))),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_414,plain,
join(zero,join(complement(converse(sk1)),complement(sk2))) = join(zero,join(complement(converse(sk1)),complement(sk2))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(converse(sk1)),complement(sk2))))]]) ).
cnf(refute_0_415,plain,
( join(complement(converse(sk1)),complement(sk2)) != join(complement(sk2),complement(converse(sk1)))
| join(zero,join(complement(converse(sk1)),complement(sk2))) != join(zero,join(complement(converse(sk1)),complement(sk2)))
| join(zero,join(complement(converse(sk1)),complement(sk2))) = join(zero,join(complement(sk2),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(converse(sk1)),complement(sk2))),join(zero,join(complement(converse(sk1)),complement(sk2)))) ),[1,1],$fot(join(complement(sk2),complement(converse(sk1))))]]) ).
cnf(refute_0_416,plain,
( join(complement(converse(sk1)),complement(sk2)) != join(complement(sk2),complement(converse(sk1)))
| join(zero,join(complement(converse(sk1)),complement(sk2))) = join(zero,join(complement(sk2),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(sk1)),complement(sk2))),join(zero,join(complement(converse(sk1)),complement(sk2)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
join(zero,join(complement(converse(sk1)),complement(sk2))) = join(zero,join(complement(sk2),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(sk2)),join(complement(sk2),complement(converse(sk1)))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
join(join(zero,complement(converse(sk1))),complement(sk2)) = join(zero,join(complement(converse(sk1)),complement(sk2))),
inference(subst,[],[refute_0_92:[bind(A,$fot(zero)),bind(B,$fot(complement(converse(sk1)))),bind(C,$fot(complement(sk2)))]]) ).
cnf(refute_0_419,plain,
( join(join(zero,complement(converse(sk1))),complement(sk2)) != join(zero,join(complement(converse(sk1)),complement(sk2)))
| join(zero,join(complement(converse(sk1)),complement(sk2))) != join(zero,join(complement(sk2),complement(converse(sk1))))
| join(join(zero,complement(converse(sk1))),complement(sk2)) = join(zero,join(complement(sk2),complement(converse(sk1)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(zero,complement(converse(sk1))),complement(sk2)))),bind(Y,$fot(join(zero,join(complement(converse(sk1)),complement(sk2))))),bind(Z,$fot(join(zero,join(complement(sk2),complement(converse(sk1))))))]]) ).
cnf(refute_0_420,plain,
( join(zero,join(complement(converse(sk1)),complement(sk2))) != join(zero,join(complement(sk2),complement(converse(sk1))))
| join(join(zero,complement(converse(sk1))),complement(sk2)) = join(zero,join(complement(sk2),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),join(zero,join(complement(converse(sk1)),complement(sk2)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
join(join(zero,complement(converse(sk1))),complement(sk2)) = join(zero,join(complement(sk2),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(sk1)),complement(sk2))),join(zero,join(complement(sk2),complement(converse(sk1))))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
( join(join(zero,complement(converse(sk1))),complement(sk2)) != join(zero,join(complement(sk2),complement(converse(sk1))))
| join(join(zero,complement(converse(sk1))),complement(sk2)) != top
| join(zero,join(complement(sk2),complement(converse(sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),top) ),[0],$fot(join(zero,join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_423,plain,
( join(join(zero,complement(converse(sk1))),complement(sk2)) != top
| join(zero,join(complement(sk2),complement(converse(sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),join(zero,join(complement(sk2),complement(converse(sk1))))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
join(zero,join(complement(sk2),complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(join(join(zero,complement(converse(sk1))),complement(sk2)),top) )],[refute_0_412,refute_0_423]) ).
cnf(refute_0_425,plain,
( join(top,join(zero,join(complement(sk2),complement(converse(sk1))))) != join(top,join(complement(sk2),complement(converse(sk1))))
| join(zero,join(complement(sk2),complement(converse(sk1)))) != top
| join(top,top) = join(top,join(complement(sk2),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,join(complement(sk2),complement(converse(sk1))))),join(top,join(complement(sk2),complement(converse(sk1))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_426,plain,
( join(top,join(zero,join(complement(sk2),complement(converse(sk1))))) != join(top,join(complement(sk2),complement(converse(sk1))))
| join(top,top) = join(top,join(complement(sk2),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),complement(converse(sk1)))),top) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(top,top) = join(top,join(complement(sk2),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,join(complement(sk2),complement(converse(sk1))))),join(top,join(complement(sk2),complement(converse(sk1))))) )],[refute_0_390,refute_0_426]) ).
cnf(refute_0_428,plain,
( join(top,top) != join(top,join(complement(sk2),complement(converse(sk1))))
| join(top,join(complement(sk2),complement(converse(sk1)))) = join(top,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,top))),bind(Y,$fot(join(top,join(complement(sk2),complement(converse(sk1))))))]]) ).
cnf(refute_0_429,plain,
join(top,join(complement(sk2),complement(converse(sk1)))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,top),join(top,join(complement(sk2),complement(converse(sk1))))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( converse(join(join(complement(sk2),complement(converse(sk1))),top)) != converse(join(top,join(complement(sk2),complement(converse(sk1)))))
| join(top,join(complement(sk2),complement(converse(sk1)))) != join(top,top)
| converse(join(join(complement(sk2),complement(converse(sk1))),top)) = converse(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),converse(join(top,join(complement(sk2),complement(converse(sk1)))))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_431,plain,
( converse(join(join(complement(sk2),complement(converse(sk1))),top)) != converse(join(top,join(complement(sk2),complement(converse(sk1)))))
| converse(join(join(complement(sk2),complement(converse(sk1))),top)) = converse(join(top,top)) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),complement(converse(sk1)))),join(top,top)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
converse(join(join(complement(sk2),complement(converse(sk1))),top)) = converse(join(top,top)),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),converse(join(top,join(complement(sk2),complement(converse(sk1)))))) )],[refute_0_379,refute_0_431]) ).
cnf(refute_0_433,plain,
converse(join(join(top,complement(sk2)),B)) = join(converse(join(top,complement(sk2))),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(join(top,complement(sk2))))]]) ).
cnf(refute_0_434,plain,
converse(join(converse(sk1),top)) = converse(join(top,converse(sk1))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(top)),bind(X_7,$fot(converse(sk1)))]]) ).
cnf(refute_0_435,plain,
join(X_35,join(complement(sk2),join(zero,complement(converse(sk1))))) = join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(complement(sk2))),bind(C,$fot(join(zero,complement(converse(sk1)))))]]) ).
cnf(refute_0_436,plain,
( join(X_35,join(complement(sk2),join(zero,complement(converse(sk1))))) != join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))
| join(complement(sk2),join(zero,complement(converse(sk1)))) != top
| join(X_35,top) = join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(complement(sk2),join(zero,complement(converse(sk1))))),join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_437,plain,
( join(X_35,join(complement(sk2),join(zero,complement(converse(sk1))))) != join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))
| join(X_35,top) = join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(zero,complement(converse(sk1)))),top) )],[refute_0_409,refute_0_436]) ).
cnf(refute_0_438,plain,
join(X_35,top) = join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(X_35,join(complement(sk2),join(zero,complement(converse(sk1))))),join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))) )],[refute_0_435,refute_0_437]) ).
cnf(refute_0_439,plain,
join(A,join(X_35,X_36)) = join(join(X_35,X_36),A),
inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_35,X_36)))]]) ).
cnf(refute_0_440,plain,
join(X_35,join(X_36,A)) = join(join(X_35,X_36),A),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(X_36)),bind(C,$fot(A))]]) ).
cnf(refute_0_441,plain,
( join(X_35,join(X_36,A)) != join(join(X_35,X_36),A)
| join(join(X_35,X_36),A) = join(X_35,join(X_36,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,join(X_36,A)))),bind(Y,$fot(join(join(X_35,X_36),A)))]]) ).
cnf(refute_0_442,plain,
join(join(X_35,X_36),A) = join(X_35,join(X_36,A)),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,A)),join(join(X_35,X_36),A)) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( join(A,join(X_35,X_36)) != join(join(X_35,X_36),A)
| join(join(X_35,X_36),A) != join(X_35,join(X_36,A))
| join(A,join(X_35,X_36)) = join(X_35,join(X_36,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_35,X_36)),join(X_35,join(X_36,A))) ),[0],$fot(join(join(X_35,X_36),A))]]) ).
cnf(refute_0_444,plain,
( join(A,join(X_35,X_36)) != join(join(X_35,X_36),A)
| join(A,join(X_35,X_36)) = join(X_35,join(X_36,A)) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_36),A),join(X_35,join(X_36,A))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(A,join(X_35,X_36)) = join(X_35,join(X_36,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_35,X_36)),join(join(X_35,X_36),A)) )],[refute_0_439,refute_0_444]) ).
cnf(refute_0_446,plain,
( join(A,join(X_35,X_36)) != join(X_35,join(X_36,A))
| join(X_35,join(X_36,A)) = join(A,join(X_35,X_36)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_35,X_36)))),bind(Y,$fot(join(X_35,join(X_36,A))))]]) ).
cnf(refute_0_447,plain,
join(X_35,join(X_36,A)) = join(A,join(X_35,X_36)),
inference(resolve,[$cnf( $equal(join(A,join(X_35,X_36)),join(X_35,join(X_36,A))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
join(complement(converse(sk1)),join(X_35,complement(sk2))) = join(complement(sk2),join(complement(converse(sk1)),X_35)),
inference(subst,[],[refute_0_447:[bind(A,$fot(complement(sk2))),bind(X_35,$fot(complement(converse(sk1)))),bind(X_36,$fot(X_35))]]) ).
cnf(refute_0_449,plain,
join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) = join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))))]]) ).
cnf(refute_0_450,plain,
( join(complement(converse(sk1)),join(X_35,complement(sk2))) != join(complement(sk2),join(complement(converse(sk1)),X_35))
| join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) != join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))
| join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))) ),[1,1],$fot(join(complement(sk2),join(complement(converse(sk1)),X_35)))]]) ).
cnf(refute_0_451,plain,
( join(complement(converse(sk1)),join(X_35,complement(sk2))) != join(complement(sk2),join(complement(converse(sk1)),X_35))
| join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(X_35,complement(sk2))),join(complement(sk2),join(complement(converse(sk1)),X_35))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)) = join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),
inference(subst,[],[refute_0_447:[bind(A,$fot(zero)),bind(X_35,$fot(complement(converse(sk1)))),bind(X_36,$fot(join(X_35,complement(sk2))))]]) ).
cnf(refute_0_454,plain,
join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)),
inference(subst,[],[refute_0_447:[bind(A,$fot(complement(converse(sk1)))),bind(X_35,$fot(join(X_35,complement(sk2)))),bind(X_36,$fot(zero))]]) ).
cnf(refute_0_455,plain,
( join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)) != join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) != join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))))),bind(Y,$fot(join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)))),bind(Z,$fot(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))))]]) ).
cnf(refute_0_456,plain,
( join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)) != join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))),join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(join(X_35,complement(sk2)),zero)),join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) != join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))
| join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) != join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))))),bind(Y,$fot(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))))),bind(Z,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))))]]) ).
cnf(refute_0_459,plain,
( join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))) != join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))),join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2))))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(sk1)),join(X_35,complement(sk2)))),join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))) )],[refute_0_452,refute_0_459]) ).
cnf(refute_0_461,plain,
( join(X_35,top) != join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))
| join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))) != join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))
| join(X_35,top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,top),join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))) ),[0],$fot(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))))]]) ).
cnf(refute_0_462,plain,
( join(X_35,top) != join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))
| join(X_35,top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1)))),join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(X_35,top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))),
inference(resolve,[$cnf( $equal(join(X_35,top),join(join(X_35,complement(sk2)),join(zero,complement(converse(sk1))))) )],[refute_0_438,refute_0_462]) ).
cnf(refute_0_464,plain,
join(complement(complement(converse(sk1))),top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),complement(complement(converse(sk1)))))),
inference(subst,[],[refute_0_463:[bind(X_35,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_465,plain,
top = join(complement(converse(sk1)),complement(complement(converse(sk1)))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_466,plain,
( top != join(complement(converse(sk1)),complement(complement(converse(sk1))))
| join(complement(converse(sk1)),complement(complement(converse(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(sk1)),complement(complement(converse(sk1))))))]]) ).
cnf(refute_0_467,plain,
join(complement(converse(sk1)),complement(complement(converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(sk1)),complement(complement(converse(sk1))))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
( join(complement(complement(converse(sk1))),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),complement(complement(converse(sk1))))))
| join(complement(converse(sk1)),complement(complement(converse(sk1)))) != top
| join(complement(complement(converse(sk1))),top) = join(zero,join(complement(sk2),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),complement(complement(converse(sk1))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_469,plain,
( join(complement(complement(converse(sk1))),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),complement(complement(converse(sk1))))))
| join(complement(complement(converse(sk1))),top) = join(zero,join(complement(sk2),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(complement(converse(sk1)))),top) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
join(complement(complement(converse(sk1))),top) = join(zero,join(complement(sk2),top)),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),complement(complement(converse(sk1))))))) )],[refute_0_464,refute_0_469]) ).
cnf(refute_0_471,plain,
join(X_35,join(complement(X_23),join(zero,complement(complement(X_23))))) = join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(complement(X_23))),bind(C,$fot(join(zero,complement(complement(X_23)))))]]) ).
cnf(refute_0_472,plain,
top = join(complement(X_23),join(complement(complement(X_23)),meet(X_23,complement(X_23)))),
inference(subst,[],[refute_0_303:[bind(X_17,$fot(X_23)),bind(X_18,$fot(complement(X_23)))]]) ).
cnf(refute_0_473,plain,
zero = meet(X_23,complement(X_23)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_474,plain,
( zero != meet(X_23,complement(X_23))
| meet(X_23,complement(X_23)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_23,complement(X_23))))]]) ).
cnf(refute_0_475,plain,
meet(X_23,complement(X_23)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_23,complement(X_23))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
( meet(X_23,complement(X_23)) != zero
| top != join(complement(X_23),join(complement(complement(X_23)),meet(X_23,complement(X_23))))
| top = join(complement(X_23),join(complement(complement(X_23)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_23),join(complement(complement(X_23)),meet(X_23,complement(X_23))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_477,plain,
( top != join(complement(X_23),join(complement(complement(X_23)),meet(X_23,complement(X_23))))
| top = join(complement(X_23),join(complement(complement(X_23)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_23,complement(X_23)),zero) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
top = join(complement(X_23),join(complement(complement(X_23)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_23),join(complement(complement(X_23)),meet(X_23,complement(X_23))))) )],[refute_0_472,refute_0_477]) ).
cnf(refute_0_479,plain,
join(complement(complement(X_23)),zero) = join(zero,complement(complement(X_23))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_23))))]]) ).
cnf(refute_0_480,plain,
join(complement(X_23),join(complement(complement(X_23)),zero)) = join(complement(X_23),join(complement(complement(X_23)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_23),join(complement(complement(X_23)),zero)))]]) ).
cnf(refute_0_481,plain,
( join(complement(X_23),join(complement(complement(X_23)),zero)) != join(complement(X_23),join(complement(complement(X_23)),zero))
| join(complement(complement(X_23)),zero) != join(zero,complement(complement(X_23)))
| join(complement(X_23),join(complement(complement(X_23)),zero)) = join(complement(X_23),join(zero,complement(complement(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),join(complement(complement(X_23)),zero)),join(complement(X_23),join(complement(complement(X_23)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_23))))]]) ).
cnf(refute_0_482,plain,
( join(complement(complement(X_23)),zero) != join(zero,complement(complement(X_23)))
| join(complement(X_23),join(complement(complement(X_23)),zero)) = join(complement(X_23),join(zero,complement(complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(complement(complement(X_23)),zero)),join(complement(X_23),join(complement(complement(X_23)),zero))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
join(complement(X_23),join(complement(complement(X_23)),zero)) = join(complement(X_23),join(zero,complement(complement(X_23)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_23)),zero),join(zero,complement(complement(X_23)))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( join(complement(X_23),join(complement(complement(X_23)),zero)) != join(complement(X_23),join(zero,complement(complement(X_23))))
| top != join(complement(X_23),join(complement(complement(X_23)),zero))
| top = join(complement(X_23),join(zero,complement(complement(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_23),join(complement(complement(X_23)),zero))) ),[1],$fot(join(complement(X_23),join(zero,complement(complement(X_23)))))]]) ).
cnf(refute_0_485,plain,
( top != join(complement(X_23),join(complement(complement(X_23)),zero))
| top = join(complement(X_23),join(zero,complement(complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(complement(complement(X_23)),zero)),join(complement(X_23),join(zero,complement(complement(X_23))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
top = join(complement(X_23),join(zero,complement(complement(X_23)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_23),join(complement(complement(X_23)),zero))) )],[refute_0_478,refute_0_485]) ).
cnf(refute_0_487,plain,
( top != join(complement(X_23),join(zero,complement(complement(X_23))))
| join(complement(X_23),join(zero,complement(complement(X_23)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_23),join(zero,complement(complement(X_23))))))]]) ).
cnf(refute_0_488,plain,
join(complement(X_23),join(zero,complement(complement(X_23)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_23),join(zero,complement(complement(X_23))))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( join(X_35,join(complement(X_23),join(zero,complement(complement(X_23))))) != join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))
| join(complement(X_23),join(zero,complement(complement(X_23)))) != top
| join(X_35,top) = join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(complement(X_23),join(zero,complement(complement(X_23))))),join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_490,plain,
( join(X_35,join(complement(X_23),join(zero,complement(complement(X_23))))) != join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))
| join(X_35,top) = join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(zero,complement(complement(X_23)))),top) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(X_35,top) = join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))),
inference(resolve,[$cnf( $equal(join(X_35,join(complement(X_23),join(zero,complement(complement(X_23))))),join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))) )],[refute_0_471,refute_0_490]) ).
cnf(refute_0_492,plain,
join(complement(complement(X_23)),join(X_35,complement(X_23))) = join(complement(X_23),join(complement(complement(X_23)),X_35)),
inference(subst,[],[refute_0_447:[bind(A,$fot(complement(X_23))),bind(X_35,$fot(complement(complement(X_23)))),bind(X_36,$fot(X_35))]]) ).
cnf(refute_0_493,plain,
join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) = join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))))]]) ).
cnf(refute_0_494,plain,
( join(complement(complement(X_23)),join(X_35,complement(X_23))) != join(complement(X_23),join(complement(complement(X_23)),X_35))
| join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) != join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))
| join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))) ),[1,1],$fot(join(complement(X_23),join(complement(complement(X_23)),X_35)))]]) ).
cnf(refute_0_495,plain,
( join(complement(complement(X_23)),join(X_35,complement(X_23))) != join(complement(X_23),join(complement(complement(X_23)),X_35))
| join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_23)),join(X_35,complement(X_23))),join(complement(X_23),join(complement(complement(X_23)),X_35))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)) = join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),
inference(subst,[],[refute_0_447:[bind(A,$fot(zero)),bind(X_35,$fot(complement(complement(X_23)))),bind(X_36,$fot(join(X_35,complement(X_23))))]]) ).
cnf(refute_0_498,plain,
join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)),
inference(subst,[],[refute_0_447:[bind(A,$fot(complement(complement(X_23)))),bind(X_35,$fot(join(X_35,complement(X_23)))),bind(X_36,$fot(zero))]]) ).
cnf(refute_0_499,plain,
( join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)) != join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) != join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))))),bind(Y,$fot(join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)))),bind(Z,$fot(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))))]]) ).
cnf(refute_0_500,plain,
( join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)) != join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))),join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_23)),join(join(X_35,complement(X_23)),zero)),join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
( join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) != join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))
| join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))))),bind(Y,$fot(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))))),bind(Z,$fot(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))))]]) ).
cnf(refute_0_503,plain,
( join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))),join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23))))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_23)),join(X_35,complement(X_23)))),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) )],[refute_0_496,refute_0_503]) ).
cnf(refute_0_505,plain,
( join(X_35,top) != join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))
| join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(X_35,top) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,top),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) ),[0],$fot(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))))]]) ).
cnf(refute_0_506,plain,
( join(X_35,top) != join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))
| join(X_35,top) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23)))),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
join(X_35,top) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),
inference(resolve,[$cnf( $equal(join(X_35,top),join(join(X_35,complement(X_23)),join(zero,complement(complement(X_23))))) )],[refute_0_491,refute_0_506]) ).
cnf(refute_0_508,plain,
join(top,join(zero,X_35)) = join(top,X_35),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(X_35))]]) ).
cnf(refute_0_509,plain,
join(zero,join(top,X_35)) = join(top,join(zero,X_35)),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(top)),bind(X_36,$fot(zero)),bind(X_37,$fot(X_35))]]) ).
cnf(refute_0_510,plain,
( join(top,join(zero,X_35)) != join(top,X_35)
| join(zero,join(top,X_35)) != join(top,join(zero,X_35))
| join(zero,join(top,X_35)) = join(top,X_35) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(top,X_35)))),bind(Y,$fot(join(top,join(zero,X_35)))),bind(Z,$fot(join(top,X_35)))]]) ).
cnf(refute_0_511,plain,
( join(top,join(zero,X_35)) != join(top,X_35)
| join(zero,join(top,X_35)) = join(top,X_35) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_35)),join(top,join(zero,X_35))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
join(zero,join(top,X_35)) = join(top,X_35),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_35)),join(top,X_35)) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
join(complement(X_23),join(complement(complement(X_23)),X_35)) = join(top,X_35),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(complement(X_23))),bind(X_37,$fot(X_35))]]) ).
cnf(refute_0_514,plain,
join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))))]]) ).
cnf(refute_0_515,plain,
( join(complement(X_23),join(complement(complement(X_23)),X_35)) != join(top,X_35)
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(zero,join(top,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) ),[1,1],$fot(join(top,X_35))]]) ).
cnf(refute_0_516,plain,
( join(complement(X_23),join(complement(complement(X_23)),X_35)) != join(top,X_35)
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(zero,join(top,X_35)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(zero,join(top,X_35)),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(complement(complement(X_23)),X_35)),join(top,X_35)) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
( join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) != join(zero,join(top,X_35))
| join(zero,join(top,X_35)) != join(top,X_35)
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(top,X_35) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))))),bind(Y,$fot(join(zero,join(top,X_35)))),bind(Z,$fot(join(top,X_35)))]]) ).
cnf(refute_0_519,plain,
( join(zero,join(top,X_35)) != join(top,X_35)
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(top,X_35) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),join(zero,join(top,X_35))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) = join(top,X_35),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_35)),join(top,X_35)) )],[refute_0_512,refute_0_519]) ).
cnf(refute_0_521,plain,
( join(X_35,top) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))) != join(top,X_35)
| join(X_35,top) = join(top,X_35) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,top),join(top,X_35)) ),[0],$fot(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))))]]) ).
cnf(refute_0_522,plain,
( join(X_35,top) != join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))
| join(X_35,top) = join(top,X_35) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35))),join(top,X_35)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
join(X_35,top) = join(top,X_35),
inference(resolve,[$cnf( $equal(join(X_35,top),join(zero,join(complement(X_23),join(complement(complement(X_23)),X_35)))) )],[refute_0_507,refute_0_522]) ).
cnf(refute_0_524,plain,
join(converse(sk1),top) = join(top,converse(sk1)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(converse(sk1)))]]) ).
cnf(refute_0_525,plain,
join(X_41,join(complement(X_41),complement(complement(X_41)))) = join(top,complement(complement(X_41))),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(X_41)),bind(X_37,$fot(complement(complement(X_41))))]]) ).
cnf(refute_0_526,plain,
top = join(complement(X_41),complement(complement(X_41))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_41)))]]) ).
cnf(refute_0_527,plain,
( top != join(complement(X_41),complement(complement(X_41)))
| join(complement(X_41),complement(complement(X_41))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_41),complement(complement(X_41)))))]]) ).
cnf(refute_0_528,plain,
join(complement(X_41),complement(complement(X_41))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_41),complement(complement(X_41)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( join(X_41,join(complement(X_41),complement(complement(X_41)))) != join(top,complement(complement(X_41)))
| join(complement(X_41),complement(complement(X_41))) != top
| join(X_41,top) = join(top,complement(complement(X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),complement(complement(X_41)))),join(top,complement(complement(X_41)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_530,plain,
( join(X_41,join(complement(X_41),complement(complement(X_41)))) != join(top,complement(complement(X_41)))
| join(X_41,top) = join(top,complement(complement(X_41))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),complement(complement(X_41))),top) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(X_41,top) = join(top,complement(complement(X_41))),
inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),complement(complement(X_41)))),join(top,complement(complement(X_41)))) )],[refute_0_525,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(X_41,top) != join(top,complement(complement(X_41)))
| join(top,complement(complement(X_41))) = join(X_41,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_41,top))),bind(Y,$fot(join(top,complement(complement(X_41)))))]]) ).
cnf(refute_0_533,plain,
join(top,complement(complement(X_41))) = join(X_41,top),
inference(resolve,[$cnf( $equal(join(X_41,top),join(top,complement(complement(X_41)))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
join(top,complement(complement(converse(sk1)))) = join(converse(sk1),top),
inference(subst,[],[refute_0_533:[bind(X_41,$fot(converse(sk1)))]]) ).
cnf(refute_0_535,plain,
( join(converse(sk1),top) != join(top,converse(sk1))
| join(top,complement(complement(converse(sk1)))) != join(converse(sk1),top)
| join(top,complement(complement(converse(sk1)))) = join(top,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,complement(complement(converse(sk1)))))),bind(Y,$fot(join(converse(sk1),top))),bind(Z,$fot(join(top,converse(sk1))))]]) ).
cnf(refute_0_536,plain,
( join(converse(sk1),top) != join(top,converse(sk1))
| join(top,complement(complement(converse(sk1)))) = join(top,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(converse(sk1)))),join(converse(sk1),top)) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
join(top,complement(complement(converse(sk1)))) = join(top,converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),join(top,converse(sk1))) )],[refute_0_524,refute_0_536]) ).
cnf(refute_0_538,plain,
join(complement(complement(converse(sk1))),top) = join(top,complement(complement(converse(sk1)))),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_539,plain,
( join(complement(complement(converse(sk1))),top) != join(top,complement(complement(converse(sk1))))
| join(top,complement(complement(converse(sk1)))) != join(top,converse(sk1))
| join(complement(complement(converse(sk1))),top) = join(top,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(complement(converse(sk1))),top))),bind(Y,$fot(join(top,complement(complement(converse(sk1)))))),bind(Z,$fot(join(top,converse(sk1))))]]) ).
cnf(refute_0_540,plain,
( join(top,complement(complement(converse(sk1)))) != join(top,converse(sk1))
| join(complement(complement(converse(sk1))),top) = join(top,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(top,complement(complement(converse(sk1))))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
join(complement(complement(converse(sk1))),top) = join(top,converse(sk1)),
inference(resolve,[$cnf( $equal(join(top,complement(complement(converse(sk1)))),join(top,converse(sk1))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
( join(complement(complement(converse(sk1))),top) != join(top,converse(sk1))
| join(complement(complement(converse(sk1))),top) != join(zero,join(complement(sk2),top))
| join(top,converse(sk1)) = join(zero,join(complement(sk2),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(zero,join(complement(sk2),top))) ),[0],$fot(join(top,converse(sk1)))]]) ).
cnf(refute_0_543,plain,
( join(complement(complement(converse(sk1))),top) != join(zero,join(complement(sk2),top))
| join(top,converse(sk1)) = join(zero,join(complement(sk2),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(top,converse(sk1))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
join(top,join(zero,complement(sk2))) = join(top,complement(sk2)),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(complement(sk2)))]]) ).
cnf(refute_0_545,plain,
join(join(A,B),top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))),
inference(subst,[],[refute_0_463:[bind(X_35,$fot(join(A,B)))]]) ).
cnf(refute_0_546,plain,
join(A,join(B,top)) = join(join(A,B),top),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(top))]]) ).
cnf(refute_0_547,plain,
( join(A,join(B,top)) != join(join(A,B),top)
| join(join(A,B),top) = join(A,join(B,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,top)))),bind(Y,$fot(join(join(A,B),top)))]]) ).
cnf(refute_0_548,plain,
join(join(A,B),top) = join(A,join(B,top)),
inference(resolve,[$cnf( $equal(join(A,join(B,top)),join(join(A,B),top)) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( join(join(A,B),top) != join(A,join(B,top))
| join(join(A,B),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))
| join(A,join(B,top)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(A,B),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))) ),[0],$fot(join(A,join(B,top)))]]) ).
cnf(refute_0_550,plain,
( join(join(A,B),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))
| join(A,join(B,top)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) ),
inference(resolve,[$cnf( $equal(join(join(A,B),top),join(A,join(B,top))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(A,join(B,top)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))),
inference(resolve,[$cnf( $equal(join(join(A,B),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))) )],[refute_0_545,refute_0_550]) ).
cnf(refute_0_552,plain,
join(join(A,B),top) = join(top,join(A,B)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(join(A,B)))]]) ).
cnf(refute_0_553,plain,
( join(X_35,top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) = join(X_35,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,top))),bind(Y,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))))]]) ).
cnf(refute_0_554,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35))) = join(X_35,top),
inference(resolve,[$cnf( $equal(join(X_35,top),join(zero,join(complement(sk2),join(complement(converse(sk1)),X_35)))) )],[refute_0_463,refute_0_553]) ).
cnf(refute_0_555,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) = join(join(A,B),top),
inference(subst,[],[refute_0_554:[bind(X_35,$fot(join(A,B)))]]) ).
cnf(refute_0_556,plain,
( join(join(A,B),top) != join(top,join(A,B))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) != join(join(A,B),top)
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) = join(top,join(A,B)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))))),bind(Y,$fot(join(join(A,B),top))),bind(Z,$fot(join(top,join(A,B))))]]) ).
cnf(refute_0_557,plain,
( join(join(A,B),top) != join(top,join(A,B))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) = join(top,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))),join(join(A,B),top)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) = join(top,join(A,B)),
inference(resolve,[$cnf( $equal(join(join(A,B),top),join(top,join(A,B))) )],[refute_0_552,refute_0_557]) ).
cnf(refute_0_559,plain,
( join(A,join(B,top)) != join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))) != join(top,join(A,B))
| join(A,join(B,top)) = join(top,join(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(B,top)),join(top,join(A,B))) ),[0],$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))))]]) ).
cnf(refute_0_560,plain,
( join(A,join(B,top)) != join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))
| join(A,join(B,top)) = join(top,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B)))),join(top,join(A,B))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
join(A,join(B,top)) = join(top,join(A,B)),
inference(resolve,[$cnf( $equal(join(A,join(B,top)),join(zero,join(complement(sk2),join(complement(converse(sk1)),join(A,B))))) )],[refute_0_551,refute_0_560]) ).
cnf(refute_0_562,plain,
join(zero,join(complement(sk2),top)) = join(top,join(zero,complement(sk2))),
inference(subst,[],[refute_0_561:[bind(A,$fot(zero)),bind(B,$fot(complement(sk2)))]]) ).
cnf(refute_0_563,plain,
( join(top,join(zero,complement(sk2))) != join(top,complement(sk2))
| join(zero,join(complement(sk2),top)) != join(top,join(zero,complement(sk2)))
| join(zero,join(complement(sk2),top)) = join(top,complement(sk2)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(sk2),top)))),bind(Y,$fot(join(top,join(zero,complement(sk2))))),bind(Z,$fot(join(top,complement(sk2))))]]) ).
cnf(refute_0_564,plain,
( join(top,join(zero,complement(sk2))) != join(top,complement(sk2))
| join(zero,join(complement(sk2),top)) = join(top,complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),top)),join(top,join(zero,complement(sk2)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
join(zero,join(complement(sk2),top)) = join(top,complement(sk2)),
inference(resolve,[$cnf( $equal(join(top,join(zero,complement(sk2))),join(top,complement(sk2))) )],[refute_0_544,refute_0_564]) ).
cnf(refute_0_566,plain,
( join(top,converse(sk1)) != join(zero,join(complement(sk2),top))
| join(zero,join(complement(sk2),top)) != join(top,complement(sk2))
| join(top,converse(sk1)) = join(top,complement(sk2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(sk1)),join(top,complement(sk2))) ),[0],$fot(join(zero,join(complement(sk2),top)))]]) ).
cnf(refute_0_567,plain,
( join(top,converse(sk1)) != join(zero,join(complement(sk2),top))
| join(top,converse(sk1)) = join(top,complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),top)),join(top,complement(sk2))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( join(complement(complement(converse(sk1))),top) != join(zero,join(complement(sk2),top))
| join(top,converse(sk1)) = join(top,complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(top,converse(sk1)),join(zero,join(complement(sk2),top))) )],[refute_0_543,refute_0_567]) ).
cnf(refute_0_569,plain,
join(top,converse(sk1)) = join(top,complement(sk2)),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),top),join(zero,join(complement(sk2),top))) )],[refute_0_470,refute_0_568]) ).
cnf(refute_0_570,plain,
( converse(join(converse(sk1),top)) != converse(join(top,converse(sk1)))
| join(top,converse(sk1)) != join(top,complement(sk2))
| converse(join(converse(sk1),top)) = converse(join(top,complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(sk1),top)),converse(join(top,converse(sk1)))) ),[1,0],$fot(join(top,complement(sk2)))]]) ).
cnf(refute_0_571,plain,
( converse(join(converse(sk1),top)) != converse(join(top,converse(sk1)))
| converse(join(converse(sk1),top)) = converse(join(top,complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(top,converse(sk1)),join(top,complement(sk2))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
converse(join(converse(sk1),top)) = converse(join(top,complement(sk2))),
inference(resolve,[$cnf( $equal(converse(join(converse(sk1),top)),converse(join(top,converse(sk1)))) )],[refute_0_434,refute_0_571]) ).
cnf(refute_0_573,plain,
converse(join(converse(A),X_7)) = join(converse(converse(A)),converse(X_7)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_574,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_7)) != join(converse(converse(A)),converse(X_7))
| converse(join(converse(A),X_7)) = join(A,converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_7)),join(converse(converse(A)),converse(X_7))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_575,plain,
( converse(join(converse(A),X_7)) != join(converse(converse(A)),converse(X_7))
| converse(join(converse(A),X_7)) = join(A,converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_574]) ).
cnf(refute_0_576,plain,
converse(join(converse(A),X_7)) = join(A,converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_7)),join(converse(converse(A)),converse(X_7))) )],[refute_0_573,refute_0_575]) ).
cnf(refute_0_577,plain,
converse(join(converse(sk1),top)) = join(sk1,converse(top)),
inference(subst,[],[refute_0_576:[bind(A,$fot(sk1)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_578,plain,
( converse(join(converse(sk1),top)) != converse(join(top,complement(sk2)))
| converse(join(converse(sk1),top)) != join(sk1,converse(top))
| join(sk1,converse(top)) = converse(join(top,complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(sk1),top)),converse(join(top,complement(sk2)))) ),[0],$fot(join(sk1,converse(top)))]]) ).
cnf(refute_0_579,plain,
( converse(join(converse(sk1),top)) != converse(join(top,complement(sk2)))
| join(sk1,converse(top)) = converse(join(top,complement(sk2))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(sk1),top)),join(sk1,converse(top))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
join(sk1,converse(top)) = converse(join(top,complement(sk2))),
inference(resolve,[$cnf( $equal(converse(join(converse(sk1),top)),converse(join(top,complement(sk2)))) )],[refute_0_572,refute_0_579]) ).
cnf(refute_0_581,plain,
( join(sk1,converse(top)) != converse(join(top,complement(sk2)))
| converse(join(top,complement(sk2))) = join(sk1,converse(top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,converse(top)))),bind(Y,$fot(converse(join(top,complement(sk2)))))]]) ).
cnf(refute_0_582,plain,
converse(join(top,complement(sk2))) = join(sk1,converse(top)),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),converse(join(top,complement(sk2)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( converse(join(join(top,complement(sk2)),B)) != join(converse(join(top,complement(sk2))),converse(B))
| converse(join(top,complement(sk2))) != join(sk1,converse(top))
| converse(join(join(top,complement(sk2)),B)) = join(join(sk1,converse(top)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),join(converse(join(top,complement(sk2))),converse(B))) ),[1,0],$fot(join(sk1,converse(top)))]]) ).
cnf(refute_0_584,plain,
( converse(join(join(top,complement(sk2)),B)) != join(converse(join(top,complement(sk2))),converse(B))
| converse(join(join(top,complement(sk2)),B)) = join(join(sk1,converse(top)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(sk2))),join(sk1,converse(top))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
converse(join(join(top,complement(sk2)),B)) = join(join(sk1,converse(top)),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),join(converse(join(top,complement(sk2))),converse(B))) )],[refute_0_433,refute_0_584]) ).
cnf(refute_0_586,plain,
join(join(top,complement(sk2)),B) = join(top,join(complement(sk2),B)),
inference(subst,[],[refute_0_92:[bind(A,$fot(top)),bind(B,$fot(complement(sk2))),bind(C,$fot(B))]]) ).
cnf(refute_0_587,plain,
converse(join(join(top,complement(sk2)),B)) = converse(join(join(top,complement(sk2)),B)),
introduced(tautology,[refl,[$fot(converse(join(join(top,complement(sk2)),B)))]]) ).
cnf(refute_0_588,plain,
( converse(join(join(top,complement(sk2)),B)) != converse(join(join(top,complement(sk2)),B))
| join(join(top,complement(sk2)),B) != join(top,join(complement(sk2),B))
| converse(join(join(top,complement(sk2)),B)) = converse(join(top,join(complement(sk2),B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),converse(join(join(top,complement(sk2)),B))) ),[1,0],$fot(join(top,join(complement(sk2),B)))]]) ).
cnf(refute_0_589,plain,
( join(join(top,complement(sk2)),B) != join(top,join(complement(sk2),B))
| converse(join(join(top,complement(sk2)),B)) = converse(join(top,join(complement(sk2),B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),converse(join(join(top,complement(sk2)),B))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
converse(join(join(top,complement(sk2)),B)) = converse(join(top,join(complement(sk2),B))),
inference(resolve,[$cnf( $equal(join(join(top,complement(sk2)),B),join(top,join(complement(sk2),B))) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( converse(join(join(top,complement(sk2)),B)) != converse(join(top,join(complement(sk2),B)))
| converse(join(join(top,complement(sk2)),B)) != join(join(sk1,converse(top)),converse(B))
| converse(join(top,join(complement(sk2),B))) = join(join(sk1,converse(top)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),join(join(sk1,converse(top)),converse(B))) ),[0],$fot(converse(join(top,join(complement(sk2),B))))]]) ).
cnf(refute_0_592,plain,
( converse(join(join(top,complement(sk2)),B)) != join(join(sk1,converse(top)),converse(B))
| converse(join(top,join(complement(sk2),B))) = join(join(sk1,converse(top)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),converse(join(top,join(complement(sk2),B)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(converse(top),converse(B)) = converse(join(top,B)),
inference(subst,[],[refute_0_365:[bind(A,$fot(top))]]) ).
cnf(refute_0_594,plain,
join(sk1,join(converse(top),converse(B))) = join(sk1,join(converse(top),converse(B))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(top),converse(B))))]]) ).
cnf(refute_0_595,plain,
( join(converse(top),converse(B)) != converse(join(top,B))
| join(sk1,join(converse(top),converse(B))) != join(sk1,join(converse(top),converse(B)))
| join(sk1,join(converse(top),converse(B))) = join(sk1,converse(join(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(top),converse(B))),join(sk1,join(converse(top),converse(B)))) ),[1,1],$fot(converse(join(top,B)))]]) ).
cnf(refute_0_596,plain,
( join(converse(top),converse(B)) != converse(join(top,B))
| join(sk1,join(converse(top),converse(B))) = join(sk1,converse(join(top,B))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(top),converse(B))),join(sk1,join(converse(top),converse(B)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
join(sk1,join(converse(top),converse(B))) = join(sk1,converse(join(top,B))),
inference(resolve,[$cnf( $equal(join(converse(top),converse(B)),converse(join(top,B))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
join(join(sk1,converse(top)),converse(B)) = join(sk1,join(converse(top),converse(B))),
inference(subst,[],[refute_0_92:[bind(A,$fot(sk1)),bind(B,$fot(converse(top))),bind(C,$fot(converse(B)))]]) ).
cnf(refute_0_599,plain,
( join(join(sk1,converse(top)),converse(B)) != join(sk1,join(converse(top),converse(B)))
| join(sk1,join(converse(top),converse(B))) != join(sk1,converse(join(top,B)))
| join(join(sk1,converse(top)),converse(B)) = join(sk1,converse(join(top,B))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(sk1,converse(top)),converse(B)))),bind(Y,$fot(join(sk1,join(converse(top),converse(B))))),bind(Z,$fot(join(sk1,converse(join(top,B)))))]]) ).
cnf(refute_0_600,plain,
( join(sk1,join(converse(top),converse(B))) != join(sk1,converse(join(top,B)))
| join(join(sk1,converse(top)),converse(B)) = join(sk1,converse(join(top,B))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(top)),converse(B)),join(sk1,join(converse(top),converse(B)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
join(join(sk1,converse(top)),converse(B)) = join(sk1,converse(join(top,B))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(top),converse(B))),join(sk1,converse(join(top,B)))) )],[refute_0_597,refute_0_600]) ).
cnf(refute_0_602,plain,
( converse(join(top,join(complement(sk2),B))) != join(join(sk1,converse(top)),converse(B))
| join(join(sk1,converse(top)),converse(B)) != join(sk1,converse(join(top,B)))
| converse(join(top,join(complement(sk2),B))) = join(sk1,converse(join(top,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(top,join(complement(sk2),B))),join(sk1,converse(join(top,B)))) ),[0],$fot(join(join(sk1,converse(top)),converse(B)))]]) ).
cnf(refute_0_603,plain,
( converse(join(top,join(complement(sk2),B))) != join(join(sk1,converse(top)),converse(B))
| converse(join(top,join(complement(sk2),B))) = join(sk1,converse(join(top,B))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(top)),converse(B)),join(sk1,converse(join(top,B)))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
( converse(join(join(top,complement(sk2)),B)) != join(join(sk1,converse(top)),converse(B))
| converse(join(top,join(complement(sk2),B))) = join(sk1,converse(join(top,B))) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(sk2),B))),join(join(sk1,converse(top)),converse(B))) )],[refute_0_592,refute_0_603]) ).
cnf(refute_0_605,plain,
converse(join(top,join(complement(sk2),B))) = join(sk1,converse(join(top,B))),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(sk2)),B)),join(join(sk1,converse(top)),converse(B))) )],[refute_0_585,refute_0_604]) ).
cnf(refute_0_606,plain,
converse(join(top,join(complement(sk2),complement(converse(sk1))))) = join(sk1,converse(join(top,complement(converse(sk1))))),
inference(subst,[],[refute_0_605:[bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_607,plain,
( converse(join(join(complement(sk2),complement(converse(sk1))),top)) != converse(join(top,join(complement(sk2),complement(converse(sk1)))))
| converse(join(top,join(complement(sk2),complement(converse(sk1))))) != join(sk1,converse(join(top,complement(converse(sk1)))))
| converse(join(join(complement(sk2),complement(converse(sk1))),top)) = join(sk1,converse(join(top,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(complement(sk2),complement(converse(sk1))),top)))),bind(Y,$fot(converse(join(top,join(complement(sk2),complement(converse(sk1))))))),bind(Z,$fot(join(sk1,converse(join(top,complement(converse(sk1)))))))]]) ).
cnf(refute_0_608,plain,
( converse(join(top,join(complement(sk2),complement(converse(sk1))))) != join(sk1,converse(join(top,complement(converse(sk1)))))
| converse(join(join(complement(sk2),complement(converse(sk1))),top)) = join(sk1,converse(join(top,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),converse(join(top,join(complement(sk2),complement(converse(sk1)))))) )],[refute_0_379,refute_0_607]) ).
cnf(refute_0_609,plain,
converse(join(join(complement(sk2),complement(converse(sk1))),top)) = join(sk1,converse(join(top,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(sk2),complement(converse(sk1))))),join(sk1,converse(join(top,complement(converse(sk1)))))) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
( converse(join(join(complement(sk2),complement(converse(sk1))),top)) != converse(join(top,top))
| converse(join(join(complement(sk2),complement(converse(sk1))),top)) != join(sk1,converse(join(top,complement(converse(sk1)))))
| join(sk1,converse(join(top,complement(converse(sk1))))) = converse(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),converse(join(top,top))) ),[0],$fot(join(sk1,converse(join(top,complement(converse(sk1))))))]]) ).
cnf(refute_0_611,plain,
( converse(join(join(complement(sk2),complement(converse(sk1))),top)) != converse(join(top,top))
| join(sk1,converse(join(top,complement(converse(sk1))))) = converse(join(top,top)) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),join(sk1,converse(join(top,complement(converse(sk1)))))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
join(sk1,converse(join(top,complement(converse(sk1))))) = converse(join(top,top)),
inference(resolve,[$cnf( $equal(converse(join(join(complement(sk2),complement(converse(sk1))),top)),converse(join(top,top))) )],[refute_0_432,refute_0_611]) ).
cnf(refute_0_613,plain,
( join(sk1,converse(join(top,complement(converse(sk1))))) != converse(join(top,top))
| top != join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(join(sk1,converse(join(top,complement(converse(sk1))))))))
| top = join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(join(sk1,converse(join(top,complement(converse(sk1))))))))) ),[1,1,1,0],$fot(converse(join(top,top)))]]) ).
cnf(refute_0_614,plain,
( top != join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(join(sk1,converse(join(top,complement(converse(sk1))))))))
| top = join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(top,complement(converse(sk1))))),converse(join(top,top))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
top = join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))),
inference(resolve,[$cnf( $equal(top,join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(join(sk1,converse(join(top,complement(converse(sk1))))))))) )],[refute_0_378,refute_0_614]) ).
cnf(refute_0_616,plain,
join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))) = join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(sk1)),bind(X_36,$fot(converse(join(top,complement(converse(sk1)))))),bind(X_37,$fot(complement(converse(join(top,top)))))]]) ).
cnf(refute_0_617,plain,
( join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))) != join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))
| top != join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top)))))
| top = join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top)))))) ),[1],$fot(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))]]) ).
cnf(refute_0_618,plain,
( top != join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top)))))
| top = join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top))))),join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
top = join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(top,join(sk1,join(converse(join(top,complement(converse(sk1)))),complement(converse(join(top,top)))))) )],[refute_0_615,refute_0_618]) ).
cnf(refute_0_620,plain,
( top != join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))
| join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))))]]) ).
cnf(refute_0_621,plain,
join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))
| join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))) != top
| converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_623,plain,
( converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))
| converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))),top) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))) )],[refute_0_370,refute_0_623]) ).
cnf(refute_0_625,plain,
join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(join(sk1,complement(converse(join(top,top))))))),bind(X_37,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_626,plain,
join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(join(complement(sk2),join(complement(converse(sk1)),X_45))))]]) ).
cnf(refute_0_627,plain,
join(X_45,top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),
inference(subst,[],[refute_0_463:[bind(X_35,$fot(X_45))]]) ).
cnf(refute_0_628,plain,
( join(X_45,top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))) = join(X_45,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_45,top))),bind(Y,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))))]]) ).
cnf(refute_0_629,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))) = join(X_45,top),
inference(resolve,[$cnf( $equal(join(X_45,top),join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
( join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))) != join(X_45,top)
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),C)
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(join(X_45,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),C)) ),[1,0],$fot(join(X_45,top))]]) ).
cnf(refute_0_631,plain,
( join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),C)
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(join(X_45,top),C) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),join(X_45,top)) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(join(X_45,top),C),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),C)) )],[refute_0_626,refute_0_631]) ).
cnf(refute_0_633,plain,
join(join(X_45,C),top) = join(top,join(X_45,C)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(join(X_45,C)))]]) ).
cnf(refute_0_634,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) = join(join(X_45,C),top),
inference(subst,[],[refute_0_554:[bind(X_35,$fot(join(X_45,C)))]]) ).
cnf(refute_0_635,plain,
( join(join(X_45,C),top) != join(top,join(X_45,C))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) != join(join(X_45,C),top)
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) = join(top,join(X_45,C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))))),bind(Y,$fot(join(join(X_45,C),top))),bind(Z,$fot(join(top,join(X_45,C))))]]) ).
cnf(refute_0_636,plain,
( join(join(X_45,C),top) != join(top,join(X_45,C))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) = join(top,join(X_45,C)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))),join(join(X_45,C),top)) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) = join(top,join(X_45,C)),
inference(resolve,[$cnf( $equal(join(join(X_45,C),top),join(top,join(X_45,C))) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
join(join(complement(converse(sk1)),X_45),C) = join(complement(converse(sk1)),join(X_45,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(complement(converse(sk1)))),bind(B,$fot(X_45))]]) ).
cnf(refute_0_639,plain,
join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) = join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)),
introduced(tautology,[refl,[$fot(join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)))]]) ).
cnf(refute_0_640,plain,
( join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) != join(complement(sk2),join(join(complement(converse(sk1)),X_45),C))
| join(join(complement(converse(sk1)),X_45),C) != join(complement(converse(sk1)),join(X_45,C))
| join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)),join(complement(sk2),join(join(complement(converse(sk1)),X_45),C))) ),[1,1],$fot(join(complement(converse(sk1)),join(X_45,C)))]]) ).
cnf(refute_0_641,plain,
( join(join(complement(converse(sk1)),X_45),C) != join(complement(converse(sk1)),join(X_45,C))
| join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)),join(complement(sk2),join(join(complement(converse(sk1)),X_45),C))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))),
inference(resolve,[$cnf( $equal(join(join(complement(converse(sk1)),X_45),C),join(complement(converse(sk1)),join(X_45,C))) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) = join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(complement(sk2))),bind(B,$fot(join(complement(converse(sk1)),X_45)))]]) ).
cnf(refute_0_644,plain,
( join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) != join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))
| join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) != join(complement(sk2),join(join(complement(converse(sk1)),X_45),C))
| join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C))),bind(Y,$fot(join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)))),bind(Z,$fot(join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))))]]) ).
cnf(refute_0_645,plain,
( join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)) != join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))
| join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))) ),
inference(resolve,[$cnf( $equal(join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C),join(complement(sk2),join(join(complement(converse(sk1)),X_45),C))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) = join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(join(complement(converse(sk1)),X_45),C)),join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),
introduced(tautology,[refl,[$fot(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)))]]) ).
cnf(refute_0_648,plain,
( join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) != join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C))) ),[1,1],$fot(join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))))]]) ).
cnf(refute_0_649,plain,
( join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C) != join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))),
inference(resolve,[$cnf( $equal(join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C),join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
( join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) != join(top,join(X_45,C))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(top,join(X_45,C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)))),bind(Y,$fot(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))))),bind(Z,$fot(join(top,join(X_45,C))))]]) ).
cnf(refute_0_652,plain,
( join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))) != join(top,join(X_45,C))
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(top,join(X_45,C)) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C))))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) = join(top,join(X_45,C)),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),join(X_45,C)))),join(top,join(X_45,C))) )],[refute_0_637,refute_0_652]) ).
cnf(refute_0_654,plain,
( join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(join(X_45,top),C)
| join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(top,join(X_45,C))
| join(top,join(X_45,C)) = join(join(X_45,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(join(X_45,top),C)) ),[0],$fot(join(top,join(X_45,C)))]]) ).
cnf(refute_0_655,plain,
( join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(join(X_45,top),C)
| join(top,join(X_45,C)) = join(join(X_45,top),C) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(top,join(X_45,C))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
join(join(X_45,top),C) = join(X_45,join(top,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_45)),bind(B,$fot(top))]]) ).
cnf(refute_0_657,plain,
( join(join(X_45,top),C) != join(X_45,join(top,C))
| join(top,join(X_45,C)) != join(join(X_45,top),C)
| join(top,join(X_45,C)) = join(X_45,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(X_45,C)),join(join(X_45,top),C)) ),[1],$fot(join(X_45,join(top,C)))]]) ).
cnf(refute_0_658,plain,
( join(top,join(X_45,C)) != join(join(X_45,top),C)
| join(top,join(X_45,C)) = join(X_45,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(X_45,top),C),join(X_45,join(top,C))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)) != join(join(X_45,top),C)
| join(top,join(X_45,C)) = join(X_45,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(X_45,C)),join(join(X_45,top),C)) )],[refute_0_655,refute_0_658]) ).
cnf(refute_0_660,plain,
join(top,join(X_45,C)) = join(X_45,join(top,C)),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(sk2),join(complement(converse(sk1)),X_45)),C)),join(join(X_45,top),C)) )],[refute_0_632,refute_0_659]) ).
cnf(refute_0_661,plain,
( join(top,join(X_45,C)) != join(X_45,join(top,C))
| join(X_45,join(top,C)) = join(top,join(X_45,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,join(X_45,C)))),bind(Y,$fot(join(X_45,join(top,C))))]]) ).
cnf(refute_0_662,plain,
join(X_45,join(top,C)) = join(top,join(X_45,C)),
inference(resolve,[$cnf( $equal(join(top,join(X_45,C)),join(X_45,join(top,C))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) = join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))),
inference(subst,[],[refute_0_662:[bind(C,$fot(complement(converse(sk1)))),bind(X_45,$fot(converse(join(sk1,complement(converse(join(top,top)))))))]]) ).
cnf(refute_0_664,plain,
( join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) != join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1))))
| join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))))),bind(Y,$fot(join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))))),bind(Z,$fot(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))))]]) ).
cnf(refute_0_665,plain,
( join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))),join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1))))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(converse(join(top,top))))),complement(converse(sk1)))),join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))) )],[refute_0_625,refute_0_665]) ).
cnf(refute_0_667,plain,
converse(join(X_6,converse(A))) = join(converse(X_6),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_6)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_668,plain,
( converse(converse(A)) != A
| converse(join(X_6,converse(A))) != join(converse(X_6),converse(converse(A)))
| converse(join(X_6,converse(A))) = join(converse(X_6),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(A))),join(converse(X_6),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_669,plain,
( converse(join(X_6,converse(A))) != join(converse(X_6),converse(converse(A)))
| converse(join(X_6,converse(A))) = join(converse(X_6),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_668]) ).
cnf(refute_0_670,plain,
converse(join(X_6,converse(A))) = join(converse(X_6),A),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(A))),join(converse(X_6),converse(converse(A)))) )],[refute_0_667,refute_0_669]) ).
cnf(refute_0_671,plain,
converse(join(join(X_35,X_36),converse(A))) = join(converse(join(X_35,X_36)),A),
inference(subst,[],[refute_0_670:[bind(X_6,$fot(join(X_35,X_36)))]]) ).
cnf(refute_0_672,plain,
join(X_35,join(X_36,converse(A))) = join(join(X_35,X_36),converse(A)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(X_36)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_673,plain,
( join(X_35,join(X_36,converse(A))) != join(join(X_35,X_36),converse(A))
| join(join(X_35,X_36),converse(A)) = join(X_35,join(X_36,converse(A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,join(X_36,converse(A))))),bind(Y,$fot(join(join(X_35,X_36),converse(A))))]]) ).
cnf(refute_0_674,plain,
join(join(X_35,X_36),converse(A)) = join(X_35,join(X_36,converse(A))),
inference(resolve,[$cnf( $equal(join(X_35,join(X_36,converse(A))),join(join(X_35,X_36),converse(A))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
( converse(join(join(X_35,X_36),converse(A))) != join(converse(join(X_35,X_36)),A)
| join(join(X_35,X_36),converse(A)) != join(X_35,join(X_36,converse(A)))
| converse(join(X_35,join(X_36,converse(A)))) = join(converse(join(X_35,X_36)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_35,X_36),converse(A))),join(converse(join(X_35,X_36)),A)) ),[0,0],$fot(join(X_35,join(X_36,converse(A))))]]) ).
cnf(refute_0_676,plain,
( converse(join(join(X_35,X_36),converse(A))) != join(converse(join(X_35,X_36)),A)
| converse(join(X_35,join(X_36,converse(A)))) = join(converse(join(X_35,X_36)),A) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_36),converse(A)),join(X_35,join(X_36,converse(A)))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
converse(join(X_35,join(X_36,converse(A)))) = join(converse(join(X_35,X_36)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_35,X_36),converse(A))),join(converse(join(X_35,X_36)),A)) )],[refute_0_671,refute_0_676]) ).
cnf(refute_0_678,plain,
converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) = join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))),
inference(subst,[],[refute_0_677:[bind(A,$fot(join(top,complement(converse(sk1))))),bind(X_35,$fot(sk1)),bind(X_36,$fot(complement(converse(join(top,top)))))]]) ).
cnf(refute_0_679,plain,
( converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) != join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1))))
| join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))))),bind(Y,$fot(join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))))),bind(Z,$fot(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))))]]) ).
cnf(refute_0_680,plain,
( join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))),join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1))))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(top,top))))),join(top,complement(converse(sk1)))),join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))) )],[refute_0_666,refute_0_680]) ).
cnf(refute_0_682,plain,
( converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))
| converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)))),bind(Y,$fot(converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))))),bind(Z,$fot(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))))]]) ).
cnf(refute_0_683,plain,
( converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1)))))))) )],[refute_0_370,refute_0_682]) ).
cnf(refute_0_684,plain,
converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) = join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))))),join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))) )],[refute_0_681,refute_0_683]) ).
cnf(refute_0_685,plain,
( converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != converse(top)
| converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))
| join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),converse(top)) ),[0],$fot(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))))]]) ).
cnf(refute_0_686,plain,
( converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)) != converse(top)
| join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(join(top,top))),converse(join(top,complement(converse(sk1))))),sk1)),converse(top)) )],[refute_0_624,refute_0_686]) ).
cnf(refute_0_688,plain,
( join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))) != converse(top)
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),C)
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(converse(top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),C)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_689,plain,
( join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),C)
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(converse(top),C) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),converse(top)) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(converse(top),C),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(join(top,join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top))))))),C)) )],[refute_0_356,refute_0_689]) ).
cnf(refute_0_691,plain,
join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(complement(converse(sk1)))),bind(B,$fot(converse(join(sk1,complement(converse(join(top,top)))))))]]) ).
cnf(refute_0_692,plain,
join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),
introduced(tautology,[refl,[$fot(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)))]]) ).
cnf(refute_0_693,plain,
( join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C))
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C))) ),[1,1],$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))]]) ).
cnf(refute_0_694,plain,
( join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) ),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C))) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),
inference(resolve,[$cnf( $equal(join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) )],[refute_0_691,refute_0_694]) ).
cnf(refute_0_696,plain,
( join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(converse(top),C)
| join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(converse(top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(converse(top),C)) ),[0],$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))))]]) ).
cnf(refute_0_697,plain,
( join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)) != join(converse(top),C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(converse(top),C) ),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(converse(top),C),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(sk1)),converse(join(sk1,complement(converse(join(top,top)))))),C)),join(converse(top),C)) )],[refute_0_690,refute_0_697]) ).
cnf(refute_0_699,plain,
join(top,join(zero,meet(one,complement(composition(converse(top),zero))))) = join(top,meet(one,complement(composition(converse(top),zero)))),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_700,plain,
one = join(meet(one,complement(composition(converse(top),zero))),complement(join(complement(one),complement(composition(converse(top),zero))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(one)),bind(B,$fot(complement(composition(converse(top),zero))))]]) ).
cnf(refute_0_701,plain,
join(complement(one),join(composition(converse(top),zero),X_37)) = join(join(complement(one),composition(converse(top),zero)),X_37),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(one))),bind(B,$fot(composition(converse(top),zero))),bind(C,$fot(X_37))]]) ).
cnf(refute_0_702,plain,
join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) = complement(one),
inference(subst,[],[refute_0_131:[bind(A,$fot(X_13)),bind(B,$fot(one))]]) ).
cnf(refute_0_703,plain,
composition(X_13,one) = X_13,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_704,plain,
( composition(X_13,one) != X_13
| join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) != complement(one)
| join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))),complement(one)) ),[0,1,1,0],$fot(X_13)]]) ).
cnf(refute_0_705,plain,
( join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) != complement(one)
| join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_13,one),X_13) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))),complement(one)) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
join(complement(one),composition(converse(top),complement(top))) = complement(one),
inference(subst,[],[refute_0_706:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_708,plain,
( complement(top) != zero
| join(complement(one),composition(converse(top),complement(top))) != complement(one)
| join(complement(one),composition(converse(top),zero)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_709,plain,
( join(complement(one),composition(converse(top),complement(top))) != complement(one)
| join(complement(one),composition(converse(top),zero)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_708]) ).
cnf(refute_0_710,plain,
join(complement(one),composition(converse(top),zero)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) )],[refute_0_707,refute_0_709]) ).
cnf(refute_0_711,plain,
( join(complement(one),composition(converse(top),zero)) != complement(one)
| join(complement(one),join(composition(converse(top),zero),X_37)) != join(join(complement(one),composition(converse(top),zero)),X_37)
| join(complement(one),join(composition(converse(top),zero),X_37)) = join(complement(one),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X_37)),join(join(complement(one),composition(converse(top),zero)),X_37)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_712,plain,
( join(complement(one),join(composition(converse(top),zero),X_37)) != join(join(complement(one),composition(converse(top),zero)),X_37)
| join(complement(one),join(composition(converse(top),zero),X_37)) = join(complement(one),X_37) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
join(complement(one),join(composition(converse(top),zero),X_37)) = join(complement(one),X_37),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X_37)),join(join(complement(one),composition(converse(top),zero)),X_37)) )],[refute_0_701,refute_0_712]) ).
cnf(refute_0_714,plain,
join(complement(one),join(composition(converse(top),zero),complement(composition(converse(top),zero)))) = join(complement(one),complement(composition(converse(top),zero))),
inference(subst,[],[refute_0_713:[bind(X_37,$fot(complement(composition(converse(top),zero))))]]) ).
cnf(refute_0_715,plain,
top = join(composition(converse(top),zero),complement(composition(converse(top),zero))),
inference(subst,[],[def_top_12:[bind(A,$fot(composition(converse(top),zero)))]]) ).
cnf(refute_0_716,plain,
( top != join(composition(converse(top),zero),complement(composition(converse(top),zero)))
| join(composition(converse(top),zero),complement(composition(converse(top),zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(composition(converse(top),zero),complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_717,plain,
join(composition(converse(top),zero),complement(composition(converse(top),zero))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(converse(top),zero),complement(composition(converse(top),zero)))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
( join(complement(one),join(composition(converse(top),zero),complement(composition(converse(top),zero)))) != join(complement(one),complement(composition(converse(top),zero)))
| join(composition(converse(top),zero),complement(composition(converse(top),zero))) != top
| join(complement(one),top) = join(complement(one),complement(composition(converse(top),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),complement(composition(converse(top),zero)))),join(complement(one),complement(composition(converse(top),zero)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_719,plain,
( join(complement(one),join(composition(converse(top),zero),complement(composition(converse(top),zero)))) != join(complement(one),complement(composition(converse(top),zero)))
| join(complement(one),top) = join(complement(one),complement(composition(converse(top),zero))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),complement(composition(converse(top),zero))),top) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
join(complement(one),top) = join(complement(one),complement(composition(converse(top),zero))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),complement(composition(converse(top),zero)))),join(complement(one),complement(composition(converse(top),zero)))) )],[refute_0_714,refute_0_719]) ).
cnf(refute_0_721,plain,
join(one,join(complement(one),composition(converse(X_13),complement(X_13)))) = join(top,composition(converse(X_13),complement(X_13))),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(one)),bind(X_37,$fot(composition(converse(X_13),complement(X_13))))]]) ).
cnf(refute_0_722,plain,
( join(complement(one),composition(converse(X_13),complement(X_13))) != complement(one)
| join(one,join(complement(one),composition(converse(X_13),complement(X_13)))) != join(top,composition(converse(X_13),complement(X_13)))
| join(one,complement(one)) = join(top,composition(converse(X_13),complement(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),composition(converse(X_13),complement(X_13)))),join(top,composition(converse(X_13),complement(X_13)))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_723,plain,
( join(one,join(complement(one),composition(converse(X_13),complement(X_13)))) != join(top,composition(converse(X_13),complement(X_13)))
| join(one,complement(one)) = join(top,composition(converse(X_13),complement(X_13))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(X_13))),complement(one)) )],[refute_0_706,refute_0_722]) ).
cnf(refute_0_724,plain,
join(one,complement(one)) = join(top,composition(converse(X_13),complement(X_13))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),composition(converse(X_13),complement(X_13)))),join(top,composition(converse(X_13),complement(X_13)))) )],[refute_0_721,refute_0_723]) ).
cnf(refute_0_725,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_35:[bind(A,$fot(one))]]) ).
cnf(refute_0_726,plain,
( join(one,complement(one)) != join(top,composition(converse(X_13),complement(X_13)))
| join(one,complement(one)) != top
| top = join(top,composition(converse(X_13),complement(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(one)),join(top,composition(converse(X_13),complement(X_13)))) ),[0],$fot(top)]]) ).
cnf(refute_0_727,plain,
( join(one,complement(one)) != join(top,composition(converse(X_13),complement(X_13)))
| top = join(top,composition(converse(X_13),complement(X_13))) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
top = join(top,composition(converse(X_13),complement(X_13))),
inference(resolve,[$cnf( $equal(join(one,complement(one)),join(top,composition(converse(X_13),complement(X_13)))) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
top = join(top,composition(converse(one),complement(one))),
inference(subst,[],[refute_0_728:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_730,plain,
( converse(one) != one
| top != join(top,composition(converse(one),complement(one)))
| top = join(top,composition(one,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(converse(one),complement(one)))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_731,plain,
( top != join(top,composition(converse(one),complement(one)))
| top = join(top,composition(one,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_161,refute_0_730]) ).
cnf(refute_0_732,plain,
top = join(top,composition(one,complement(one))),
inference(resolve,[$cnf( $equal(top,join(top,composition(converse(one),complement(one)))) )],[refute_0_729,refute_0_731]) ).
cnf(refute_0_733,plain,
composition(one,complement(one)) = complement(one),
inference(subst,[],[refute_0_176:[bind(X_28,$fot(complement(one)))]]) ).
cnf(refute_0_734,plain,
join(top,composition(one,complement(one))) = join(top,composition(one,complement(one))),
introduced(tautology,[refl,[$fot(join(top,composition(one,complement(one))))]]) ).
cnf(refute_0_735,plain,
( composition(one,complement(one)) != complement(one)
| join(top,composition(one,complement(one))) != join(top,composition(one,complement(one)))
| join(top,composition(one,complement(one))) = join(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_736,plain,
( composition(one,complement(one)) != complement(one)
| join(top,composition(one,complement(one))) = join(top,complement(one)) ),
inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
join(top,composition(one,complement(one))) = join(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_733,refute_0_736]) ).
cnf(refute_0_738,plain,
( join(top,composition(one,complement(one))) != join(top,complement(one))
| top != join(top,composition(one,complement(one)))
| top = join(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(one,complement(one)))) ),[1],$fot(join(top,complement(one)))]]) ).
cnf(refute_0_739,plain,
( top != join(top,composition(one,complement(one)))
| top = join(top,complement(one)) ),
inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,complement(one))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
top = join(top,complement(one)),
inference(resolve,[$cnf( $equal(top,join(top,composition(one,complement(one)))) )],[refute_0_732,refute_0_739]) ).
cnf(refute_0_741,plain,
( top != join(top,complement(one))
| join(top,complement(one)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(one))))]]) ).
cnf(refute_0_742,plain,
join(top,complement(one)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(one))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(complement(one),top) = join(top,complement(one)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(complement(one)))]]) ).
cnf(refute_0_744,plain,
( join(complement(one),top) != join(top,complement(one))
| join(top,complement(one)) != top
| join(complement(one),top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(one),top))),bind(Y,$fot(join(top,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_745,plain,
( join(top,complement(one)) != top
| join(complement(one),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(top,complement(one))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(one),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_742,refute_0_745]) ).
cnf(refute_0_747,plain,
( join(complement(one),top) != join(complement(one),complement(composition(converse(top),zero)))
| join(complement(one),top) != top
| top = join(complement(one),complement(composition(converse(top),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(converse(top),zero)))) ),[0],$fot(top)]]) ).
cnf(refute_0_748,plain,
( join(complement(one),top) != join(complement(one),complement(composition(converse(top),zero)))
| top = join(complement(one),complement(composition(converse(top),zero))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
top = join(complement(one),complement(composition(converse(top),zero))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(converse(top),zero)))) )],[refute_0_720,refute_0_748]) ).
cnf(refute_0_750,plain,
( top != join(complement(one),complement(composition(converse(top),zero)))
| join(complement(one),complement(composition(converse(top),zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_751,plain,
join(complement(one),complement(composition(converse(top),zero))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(composition(converse(top),zero)))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
( join(complement(one),complement(composition(converse(top),zero))) != top
| one != join(meet(one,complement(composition(converse(top),zero))),complement(join(complement(one),complement(composition(converse(top),zero)))))
| one = join(meet(one,complement(composition(converse(top),zero))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(converse(top),zero))),complement(join(complement(one),complement(composition(converse(top),zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_753,plain,
( one != join(meet(one,complement(composition(converse(top),zero))),complement(join(complement(one),complement(composition(converse(top),zero)))))
| one = join(meet(one,complement(composition(converse(top),zero))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(top),zero))),top) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
one = join(meet(one,complement(composition(converse(top),zero))),complement(top)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(converse(top),zero))),complement(join(complement(one),complement(composition(converse(top),zero)))))) )],[refute_0_700,refute_0_753]) ).
cnf(refute_0_755,plain,
join(complement(top),meet(one,complement(composition(converse(top),zero)))) = join(complement(top),meet(one,complement(composition(converse(top),zero)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_756,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(composition(converse(top),zero)))) != join(complement(top),meet(one,complement(composition(converse(top),zero))))
| join(complement(top),meet(one,complement(composition(converse(top),zero)))) = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(one,complement(composition(converse(top),zero)))),join(complement(top),meet(one,complement(composition(converse(top),zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_757,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(composition(converse(top),zero)))) = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(composition(converse(top),zero)))),join(complement(top),meet(one,complement(composition(converse(top),zero))))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
join(complement(top),meet(one,complement(composition(converse(top),zero)))) = join(zero,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_757]) ).
cnf(refute_0_759,plain,
join(meet(one,complement(composition(converse(top),zero))),complement(top)) = join(complement(top),meet(one,complement(composition(converse(top),zero)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_760,plain,
( join(complement(top),meet(one,complement(composition(converse(top),zero)))) != join(zero,meet(one,complement(composition(converse(top),zero))))
| join(meet(one,complement(composition(converse(top),zero))),complement(top)) != join(complement(top),meet(one,complement(composition(converse(top),zero))))
| join(meet(one,complement(composition(converse(top),zero))),complement(top)) = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(one,complement(composition(converse(top),zero))),complement(top)))),bind(Y,$fot(join(complement(top),meet(one,complement(composition(converse(top),zero)))))),bind(Z,$fot(join(zero,meet(one,complement(composition(converse(top),zero))))))]]) ).
cnf(refute_0_761,plain,
( join(complement(top),meet(one,complement(composition(converse(top),zero)))) != join(zero,meet(one,complement(composition(converse(top),zero))))
| join(meet(one,complement(composition(converse(top),zero))),complement(top)) = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(converse(top),zero))),complement(top)),join(complement(top),meet(one,complement(composition(converse(top),zero))))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
join(meet(one,complement(composition(converse(top),zero))),complement(top)) = join(zero,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(composition(converse(top),zero)))),join(zero,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_758,refute_0_761]) ).
cnf(refute_0_763,plain,
( join(meet(one,complement(composition(converse(top),zero))),complement(top)) != join(zero,meet(one,complement(composition(converse(top),zero))))
| one != join(meet(one,complement(composition(converse(top),zero))),complement(top))
| one = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(converse(top),zero))),complement(top))) ),[1],$fot(join(zero,meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_764,plain,
( one != join(meet(one,complement(composition(converse(top),zero))),complement(top))
| one = join(zero,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(converse(top),zero))),complement(top)),join(zero,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
one = join(zero,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(converse(top),zero))),complement(top))) )],[refute_0_754,refute_0_764]) ).
cnf(refute_0_766,plain,
( one != join(zero,meet(one,complement(composition(converse(top),zero))))
| join(zero,meet(one,complement(composition(converse(top),zero)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(zero,meet(one,complement(composition(converse(top),zero))))))]]) ).
cnf(refute_0_767,plain,
join(zero,meet(one,complement(composition(converse(top),zero)))) = one,
inference(resolve,[$cnf( $equal(one,join(zero,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
( join(top,join(zero,meet(one,complement(composition(converse(top),zero))))) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(zero,meet(one,complement(composition(converse(top),zero)))) != one
| join(top,one) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,meet(one,complement(composition(converse(top),zero))))),join(top,meet(one,complement(composition(converse(top),zero))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_769,plain,
( join(top,join(zero,meet(one,complement(composition(converse(top),zero))))) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,one) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(converse(top),zero)))),one) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
join(top,one) = join(top,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,meet(one,complement(composition(converse(top),zero))))),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_699,refute_0_769]) ).
cnf(refute_0_771,plain,
join(X_35,join(zero,join(zero,meet(top,top)))) = join(join(X_35,zero),join(zero,meet(top,top))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(zero)),bind(C,$fot(join(zero,meet(top,top))))]]) ).
cnf(refute_0_772,plain,
top = join(join(zero,zero),complement(join(zero,zero))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(zero,zero)))]]) ).
cnf(refute_0_773,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_56:[bind(B,$fot(top))]]) ).
cnf(refute_0_774,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_775,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_774]) ).
cnf(refute_0_776,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_773,refute_0_775]) ).
cnf(refute_0_777,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_778,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
( complement(join(zero,zero)) != meet(top,top)
| top != join(join(zero,zero),complement(join(zero,zero)))
| top = join(join(zero,zero),meet(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) ),[1,1],$fot(meet(top,top))]]) ).
cnf(refute_0_780,plain,
( top != join(join(zero,zero),complement(join(zero,zero)))
| top = join(join(zero,zero),meet(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
top = join(join(zero,zero),meet(top,top)),
inference(resolve,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) )],[refute_0_772,refute_0_780]) ).
cnf(refute_0_782,plain,
join(join(zero,zero),meet(top,top)) = join(zero,join(zero,meet(top,top))),
inference(subst,[],[refute_0_92:[bind(A,$fot(zero)),bind(B,$fot(zero)),bind(C,$fot(meet(top,top)))]]) ).
cnf(refute_0_783,plain,
( join(join(zero,zero),meet(top,top)) != join(zero,join(zero,meet(top,top)))
| top != join(join(zero,zero),meet(top,top))
| top = join(zero,join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) ),[1],$fot(join(zero,join(zero,meet(top,top))))]]) ).
cnf(refute_0_784,plain,
( top != join(join(zero,zero),meet(top,top))
| top = join(zero,join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(join(zero,zero),meet(top,top)),join(zero,join(zero,meet(top,top)))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
top = join(zero,join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) )],[refute_0_781,refute_0_784]) ).
cnf(refute_0_786,plain,
( top != join(zero,join(zero,meet(top,top)))
| join(zero,join(zero,meet(top,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(zero,meet(top,top)))))]]) ).
cnf(refute_0_787,plain,
join(zero,join(zero,meet(top,top))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(zero,meet(top,top)))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
( join(X_35,join(zero,join(zero,meet(top,top)))) != join(join(X_35,zero),join(zero,meet(top,top)))
| join(zero,join(zero,meet(top,top))) != top
| join(X_35,top) = join(join(X_35,zero),join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(zero,join(zero,meet(top,top)))),join(join(X_35,zero),join(zero,meet(top,top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_789,plain,
( join(X_35,join(zero,join(zero,meet(top,top)))) != join(join(X_35,zero),join(zero,meet(top,top)))
| join(X_35,top) = join(join(X_35,zero),join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(top,top))),top) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
join(X_35,top) = join(join(X_35,zero),join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(join(X_35,join(zero,join(zero,meet(top,top)))),join(join(X_35,zero),join(zero,meet(top,top)))) )],[refute_0_771,refute_0_789]) ).
cnf(refute_0_791,plain,
join(meet(top,top),join(X_35,zero)) = join(zero,join(meet(top,top),X_35)),
inference(subst,[],[refute_0_447:[bind(A,$fot(zero)),bind(X_35,$fot(meet(top,top))),bind(X_36,$fot(X_35))]]) ).
cnf(refute_0_792,plain,
join(zero,join(meet(top,top),join(X_35,zero))) = join(zero,join(meet(top,top),join(X_35,zero))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(X_35,zero))))]]) ).
cnf(refute_0_793,plain,
( join(meet(top,top),join(X_35,zero)) != join(zero,join(meet(top,top),X_35))
| join(zero,join(meet(top,top),join(X_35,zero))) != join(zero,join(meet(top,top),join(X_35,zero)))
| join(zero,join(meet(top,top),join(X_35,zero))) = join(zero,join(zero,join(meet(top,top),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(X_35,zero))),join(zero,join(meet(top,top),join(X_35,zero)))) ),[1,1],$fot(join(zero,join(meet(top,top),X_35)))]]) ).
cnf(refute_0_794,plain,
( join(meet(top,top),join(X_35,zero)) != join(zero,join(meet(top,top),X_35))
| join(zero,join(meet(top,top),join(X_35,zero))) = join(zero,join(zero,join(meet(top,top),X_35))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_35,zero))),join(zero,join(meet(top,top),join(X_35,zero)))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
join(zero,join(meet(top,top),join(X_35,zero))) = join(zero,join(zero,join(meet(top,top),X_35))),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(X_35,zero)),join(zero,join(meet(top,top),X_35))) )],[refute_0_791,refute_0_794]) ).
cnf(refute_0_796,plain,
join(join(X_35,zero),join(zero,meet(top,top))) = join(zero,join(meet(top,top),join(X_35,zero))),
inference(subst,[],[refute_0_445:[bind(A,$fot(join(X_35,zero))),bind(X_35,$fot(zero)),bind(X_36,$fot(meet(top,top)))]]) ).
cnf(refute_0_797,plain,
( join(join(X_35,zero),join(zero,meet(top,top))) != join(zero,join(meet(top,top),join(X_35,zero)))
| join(zero,join(meet(top,top),join(X_35,zero))) != join(zero,join(zero,join(meet(top,top),X_35)))
| join(join(X_35,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_35))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_35,zero),join(zero,meet(top,top))))),bind(Y,$fot(join(zero,join(meet(top,top),join(X_35,zero))))),bind(Z,$fot(join(zero,join(zero,join(meet(top,top),X_35)))))]]) ).
cnf(refute_0_798,plain,
( join(zero,join(meet(top,top),join(X_35,zero))) != join(zero,join(zero,join(meet(top,top),X_35)))
| join(join(X_35,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,zero),join(zero,meet(top,top))),join(zero,join(meet(top,top),join(X_35,zero)))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
join(join(X_35,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_35))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_35,zero))),join(zero,join(zero,join(meet(top,top),X_35)))) )],[refute_0_795,refute_0_798]) ).
cnf(refute_0_800,plain,
( join(X_35,top) != join(join(X_35,zero),join(zero,meet(top,top)))
| join(join(X_35,zero),join(zero,meet(top,top))) != join(zero,join(zero,join(meet(top,top),X_35)))
| join(X_35,top) = join(zero,join(zero,join(meet(top,top),X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_35,top),join(zero,join(zero,join(meet(top,top),X_35)))) ),[0],$fot(join(join(X_35,zero),join(zero,meet(top,top))))]]) ).
cnf(refute_0_801,plain,
( join(X_35,top) != join(join(X_35,zero),join(zero,meet(top,top)))
| join(X_35,top) = join(zero,join(zero,join(meet(top,top),X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_35,zero),join(zero,meet(top,top))),join(zero,join(zero,join(meet(top,top),X_35)))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
join(X_35,top) = join(zero,join(zero,join(meet(top,top),X_35))),
inference(resolve,[$cnf( $equal(join(X_35,top),join(join(X_35,zero),join(zero,meet(top,top)))) )],[refute_0_790,refute_0_801]) ).
cnf(refute_0_803,plain,
join(X_46,top) = join(zero,join(zero,join(meet(top,top),X_46))),
inference(subst,[],[refute_0_802:[bind(X_35,$fot(X_46))]]) ).
cnf(refute_0_804,plain,
join(X_46,meet(top,top)) = join(meet(top,top),X_46),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_46)),bind(B,$fot(meet(top,top)))]]) ).
cnf(refute_0_805,plain,
( join(X_46,meet(top,top)) != join(meet(top,top),X_46)
| join(meet(top,top),X_46) = join(X_46,meet(top,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_46,meet(top,top)))),bind(Y,$fot(join(meet(top,top),X_46)))]]) ).
cnf(refute_0_806,plain,
join(meet(top,top),X_46) = join(X_46,meet(top,top)),
inference(resolve,[$cnf( $equal(join(X_46,meet(top,top)),join(meet(top,top),X_46)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( join(X_46,top) != join(zero,join(zero,join(meet(top,top),X_46)))
| join(meet(top,top),X_46) != join(X_46,meet(top,top))
| join(X_46,top) = join(zero,join(zero,join(X_46,meet(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_46,top),join(zero,join(zero,join(meet(top,top),X_46)))) ),[1,1,1],$fot(join(X_46,meet(top,top)))]]) ).
cnf(refute_0_808,plain,
( join(X_46,top) != join(zero,join(zero,join(meet(top,top),X_46)))
| join(X_46,top) = join(zero,join(zero,join(X_46,meet(top,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_46),join(X_46,meet(top,top))) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
join(X_46,top) = join(zero,join(zero,join(X_46,meet(top,top)))),
inference(resolve,[$cnf( $equal(join(X_46,top),join(zero,join(zero,join(meet(top,top),X_46)))) )],[refute_0_803,refute_0_808]) ).
cnf(refute_0_810,plain,
join(top,join(zero,X_46)) = join(top,X_46),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(X_46))]]) ).
cnf(refute_0_811,plain,
join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(join(zero,join(zero,join(meet(top,top),X_46))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(join(zero,join(meet(top,top),X_46))))]]) ).
cnf(refute_0_812,plain,
( join(X_46,top) != join(zero,join(zero,join(meet(top,top),X_46)))
| join(zero,join(zero,join(meet(top,top),X_46))) = join(X_46,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_46,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_46)))))]]) ).
cnf(refute_0_813,plain,
join(zero,join(zero,join(meet(top,top),X_46))) = join(X_46,top),
inference(resolve,[$cnf( $equal(join(X_46,top),join(zero,join(zero,join(meet(top,top),X_46)))) )],[refute_0_803,refute_0_812]) ).
cnf(refute_0_814,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(join(zero,join(zero,join(meet(top,top),X_46))),C)
| join(zero,join(zero,join(meet(top,top),X_46))) != join(X_46,top)
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(join(X_46,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(join(zero,join(zero,join(meet(top,top),X_46))),C)) ),[1,0],$fot(join(X_46,top))]]) ).
cnf(refute_0_815,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(join(zero,join(zero,join(meet(top,top),X_46))),C)
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(join(X_46,top),C) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),X_46))),join(X_46,top)) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(join(X_46,top),C),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(join(zero,join(zero,join(meet(top,top),X_46))),C)) )],[refute_0_811,refute_0_815]) ).
cnf(refute_0_817,plain,
join(join(X_46,C),top) = join(top,join(X_46,C)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(join(X_46,C)))]]) ).
cnf(refute_0_818,plain,
( join(X_35,top) != join(zero,join(zero,join(meet(top,top),X_35)))
| join(zero,join(zero,join(meet(top,top),X_35))) = join(X_35,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_35,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_35)))))]]) ).
cnf(refute_0_819,plain,
join(zero,join(zero,join(meet(top,top),X_35))) = join(X_35,top),
inference(resolve,[$cnf( $equal(join(X_35,top),join(zero,join(zero,join(meet(top,top),X_35)))) )],[refute_0_802,refute_0_818]) ).
cnf(refute_0_820,plain,
join(zero,join(zero,join(meet(top,top),join(X_46,C)))) = join(join(X_46,C),top),
inference(subst,[],[refute_0_819:[bind(X_35,$fot(join(X_46,C)))]]) ).
cnf(refute_0_821,plain,
( join(join(X_46,C),top) != join(top,join(X_46,C))
| join(zero,join(zero,join(meet(top,top),join(X_46,C)))) != join(join(X_46,C),top)
| join(zero,join(zero,join(meet(top,top),join(X_46,C)))) = join(top,join(X_46,C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(zero,join(meet(top,top),join(X_46,C)))))),bind(Y,$fot(join(join(X_46,C),top))),bind(Z,$fot(join(top,join(X_46,C))))]]) ).
cnf(refute_0_822,plain,
( join(join(X_46,C),top) != join(top,join(X_46,C))
| join(zero,join(zero,join(meet(top,top),join(X_46,C)))) = join(top,join(X_46,C)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_46,C)))),join(join(X_46,C),top)) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
join(zero,join(zero,join(meet(top,top),join(X_46,C)))) = join(top,join(X_46,C)),
inference(resolve,[$cnf( $equal(join(join(X_46,C),top),join(top,join(X_46,C))) )],[refute_0_817,refute_0_822]) ).
cnf(refute_0_824,plain,
join(join(meet(top,top),X_46),C) = join(meet(top,top),join(X_46,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(meet(top,top))),bind(B,$fot(X_46))]]) ).
cnf(refute_0_825,plain,
join(zero,join(join(meet(top,top),X_46),C)) = join(zero,join(join(meet(top,top),X_46),C)),
introduced(tautology,[refl,[$fot(join(zero,join(join(meet(top,top),X_46),C)))]]) ).
cnf(refute_0_826,plain,
( join(join(meet(top,top),X_46),C) != join(meet(top,top),join(X_46,C))
| join(zero,join(join(meet(top,top),X_46),C)) != join(zero,join(join(meet(top,top),X_46),C))
| join(zero,join(join(meet(top,top),X_46),C)) = join(zero,join(meet(top,top),join(X_46,C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(meet(top,top),X_46),C)),join(zero,join(join(meet(top,top),X_46),C))) ),[1,1],$fot(join(meet(top,top),join(X_46,C)))]]) ).
cnf(refute_0_827,plain,
( join(join(meet(top,top),X_46),C) != join(meet(top,top),join(X_46,C))
| join(zero,join(join(meet(top,top),X_46),C)) = join(zero,join(meet(top,top),join(X_46,C))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_46),C)),join(zero,join(join(meet(top,top),X_46),C))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
join(zero,join(join(meet(top,top),X_46),C)) = join(zero,join(meet(top,top),join(X_46,C))),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),X_46),C),join(meet(top,top),join(X_46,C))) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
join(join(zero,join(meet(top,top),X_46)),C) = join(zero,join(join(meet(top,top),X_46),C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(zero)),bind(B,$fot(join(meet(top,top),X_46)))]]) ).
cnf(refute_0_830,plain,
( join(join(zero,join(meet(top,top),X_46)),C) != join(zero,join(join(meet(top,top),X_46),C))
| join(zero,join(join(meet(top,top),X_46),C)) != join(zero,join(meet(top,top),join(X_46,C)))
| join(join(zero,join(meet(top,top),X_46)),C) = join(zero,join(meet(top,top),join(X_46,C))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(zero,join(meet(top,top),X_46)),C))),bind(Y,$fot(join(zero,join(join(meet(top,top),X_46),C)))),bind(Z,$fot(join(zero,join(meet(top,top),join(X_46,C)))))]]) ).
cnf(refute_0_831,plain,
( join(zero,join(join(meet(top,top),X_46),C)) != join(zero,join(meet(top,top),join(X_46,C)))
| join(join(zero,join(meet(top,top),X_46)),C) = join(zero,join(meet(top,top),join(X_46,C))) ),
inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_46)),C),join(zero,join(join(meet(top,top),X_46),C))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(join(zero,join(meet(top,top),X_46)),C) = join(zero,join(meet(top,top),join(X_46,C))),
inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_46),C)),join(zero,join(meet(top,top),join(X_46,C)))) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(zero,join(join(zero,join(meet(top,top),X_46)),C)),
introduced(tautology,[refl,[$fot(join(zero,join(join(zero,join(meet(top,top),X_46)),C)))]]) ).
cnf(refute_0_834,plain,
( join(join(zero,join(meet(top,top),X_46)),C) != join(zero,join(meet(top,top),join(X_46,C)))
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(zero,join(join(zero,join(meet(top,top),X_46)),C))
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(zero,join(zero,join(meet(top,top),join(X_46,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(zero,join(join(zero,join(meet(top,top),X_46)),C))) ),[1,1],$fot(join(zero,join(meet(top,top),join(X_46,C))))]]) ).
cnf(refute_0_835,plain,
( join(join(zero,join(meet(top,top),X_46)),C) != join(zero,join(meet(top,top),join(X_46,C)))
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(zero,join(zero,join(meet(top,top),join(X_46,C)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(zero,join(join(zero,join(meet(top,top),X_46)),C))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(zero,join(zero,join(meet(top,top),join(X_46,C)))),
inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_46)),C),join(zero,join(meet(top,top),join(X_46,C)))) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(zero,join(zero,join(meet(top,top),join(X_46,C))))
| join(zero,join(zero,join(meet(top,top),join(X_46,C)))) != join(top,join(X_46,C))
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(top,join(X_46,C)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(join(zero,join(meet(top,top),X_46)),C)))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),join(X_46,C)))))),bind(Z,$fot(join(top,join(X_46,C))))]]) ).
cnf(refute_0_838,plain,
( join(zero,join(zero,join(meet(top,top),join(X_46,C)))) != join(top,join(X_46,C))
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(top,join(X_46,C)) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(zero,join(zero,join(meet(top,top),join(X_46,C))))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
join(zero,join(join(zero,join(meet(top,top),X_46)),C)) = join(top,join(X_46,C)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_46,C)))),join(top,join(X_46,C))) )],[refute_0_823,refute_0_838]) ).
cnf(refute_0_840,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(join(X_46,top),C)
| join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(top,join(X_46,C))
| join(top,join(X_46,C)) = join(join(X_46,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(join(X_46,top),C)) ),[0],$fot(join(top,join(X_46,C)))]]) ).
cnf(refute_0_841,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(join(X_46,top),C)
| join(top,join(X_46,C)) = join(join(X_46,top),C) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(top,join(X_46,C))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
join(join(X_46,top),C) = join(X_46,join(top,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_46)),bind(B,$fot(top))]]) ).
cnf(refute_0_843,plain,
( join(join(X_46,top),C) != join(X_46,join(top,C))
| join(top,join(X_46,C)) != join(join(X_46,top),C)
| join(top,join(X_46,C)) = join(X_46,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(X_46,C)),join(join(X_46,top),C)) ),[1],$fot(join(X_46,join(top,C)))]]) ).
cnf(refute_0_844,plain,
( join(top,join(X_46,C)) != join(join(X_46,top),C)
| join(top,join(X_46,C)) = join(X_46,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(X_46,top),C),join(X_46,join(top,C))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
( join(zero,join(join(zero,join(meet(top,top),X_46)),C)) != join(join(X_46,top),C)
| join(top,join(X_46,C)) = join(X_46,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(X_46,C)),join(join(X_46,top),C)) )],[refute_0_841,refute_0_844]) ).
cnf(refute_0_846,plain,
join(top,join(X_46,C)) = join(X_46,join(top,C)),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_46)),C)),join(join(X_46,top),C)) )],[refute_0_816,refute_0_845]) ).
cnf(refute_0_847,plain,
( join(top,join(X_46,C)) != join(X_46,join(top,C))
| join(X_46,join(top,C)) = join(top,join(X_46,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,join(X_46,C)))),bind(Y,$fot(join(X_46,join(top,C))))]]) ).
cnf(refute_0_848,plain,
join(X_46,join(top,C)) = join(top,join(X_46,C)),
inference(resolve,[$cnf( $equal(join(top,join(X_46,C)),join(X_46,join(top,C))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
join(zero,join(top,X_46)) = join(top,join(zero,X_46)),
inference(subst,[],[refute_0_848:[bind(C,$fot(X_46)),bind(X_46,$fot(zero))]]) ).
cnf(refute_0_850,plain,
( join(top,join(zero,X_46)) != join(top,X_46)
| join(zero,join(top,X_46)) != join(top,join(zero,X_46))
| join(zero,join(top,X_46)) = join(top,X_46) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(top,X_46)))),bind(Y,$fot(join(top,join(zero,X_46)))),bind(Z,$fot(join(top,X_46)))]]) ).
cnf(refute_0_851,plain,
( join(top,join(zero,X_46)) != join(top,X_46)
| join(zero,join(top,X_46)) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_46)),join(top,join(zero,X_46))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
join(zero,join(top,X_46)) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_46)),join(top,X_46)) )],[refute_0_810,refute_0_851]) ).
cnf(refute_0_853,plain,
join(X_41,join(complement(X_41),X_42)) = join(top,X_42),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(X_41)),bind(X_37,$fot(X_42))]]) ).
cnf(refute_0_854,plain,
join(X_42,complement(X_41)) = join(complement(X_41),X_42),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_42)),bind(B,$fot(complement(X_41)))]]) ).
cnf(refute_0_855,plain,
( join(X_42,complement(X_41)) != join(complement(X_41),X_42)
| join(complement(X_41),X_42) = join(X_42,complement(X_41)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_42,complement(X_41)))),bind(Y,$fot(join(complement(X_41),X_42)))]]) ).
cnf(refute_0_856,plain,
join(complement(X_41),X_42) = join(X_42,complement(X_41)),
inference(resolve,[$cnf( $equal(join(X_42,complement(X_41)),join(complement(X_41),X_42)) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
( join(X_41,join(complement(X_41),X_42)) != join(top,X_42)
| join(complement(X_41),X_42) != join(X_42,complement(X_41))
| join(X_41,join(X_42,complement(X_41))) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),X_42)),join(top,X_42)) ),[0,1],$fot(join(X_42,complement(X_41)))]]) ).
cnf(refute_0_858,plain,
( join(X_41,join(complement(X_41),X_42)) != join(top,X_42)
| join(X_41,join(X_42,complement(X_41))) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),X_42),join(X_42,complement(X_41))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
join(X_41,join(X_42,complement(X_41))) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),X_42)),join(top,X_42)) )],[refute_0_853,refute_0_858]) ).
cnf(refute_0_860,plain,
join(zero,join(X_46,complement(zero))) = join(top,X_46),
inference(subst,[],[refute_0_859:[bind(X_41,$fot(zero)),bind(X_42,$fot(X_46))]]) ).
cnf(refute_0_861,plain,
complement(join(zero,zero)) = complement(join(zero,zero)),
introduced(tautology,[refl,[$fot(complement(join(zero,zero)))]]) ).
cnf(refute_0_862,plain,
( complement(join(zero,zero)) != complement(join(zero,zero))
| join(zero,zero) != zero
| complement(join(zero,zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_863,plain,
( join(zero,zero) != zero
| complement(join(zero,zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
complement(join(zero,zero)) = complement(zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_198,refute_0_863]) ).
cnf(refute_0_865,plain,
( complement(join(zero,zero)) != complement(zero)
| meet(top,top) != complement(join(zero,zero))
| meet(top,top) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_866,plain,
( meet(top,top) != complement(join(zero,zero))
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(zero)) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_776,refute_0_866]) ).
cnf(refute_0_868,plain,
join(X_46,meet(top,top)) = join(X_46,meet(top,top)),
introduced(tautology,[refl,[$fot(join(X_46,meet(top,top)))]]) ).
cnf(refute_0_869,plain,
( join(X_46,meet(top,top)) != join(X_46,meet(top,top))
| meet(top,top) != complement(zero)
| join(X_46,meet(top,top)) = join(X_46,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_46,meet(top,top)),join(X_46,meet(top,top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_870,plain,
( meet(top,top) != complement(zero)
| join(X_46,meet(top,top)) = join(X_46,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(X_46,meet(top,top)),join(X_46,meet(top,top))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(X_46,meet(top,top)) = join(X_46,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
join(zero,join(X_46,meet(top,top))) = join(zero,join(X_46,meet(top,top))),
introduced(tautology,[refl,[$fot(join(zero,join(X_46,meet(top,top))))]]) ).
cnf(refute_0_873,plain,
( join(X_46,meet(top,top)) != join(X_46,complement(zero))
| join(zero,join(X_46,meet(top,top))) != join(zero,join(X_46,meet(top,top)))
| join(zero,join(X_46,meet(top,top))) = join(zero,join(X_46,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_46,meet(top,top))),join(zero,join(X_46,meet(top,top)))) ),[1,1],$fot(join(X_46,complement(zero)))]]) ).
cnf(refute_0_874,plain,
( join(X_46,meet(top,top)) != join(X_46,complement(zero))
| join(zero,join(X_46,meet(top,top))) = join(zero,join(X_46,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_46,meet(top,top))),join(zero,join(X_46,meet(top,top)))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
join(zero,join(X_46,meet(top,top))) = join(zero,join(X_46,complement(zero))),
inference(resolve,[$cnf( $equal(join(X_46,meet(top,top)),join(X_46,complement(zero))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
( join(zero,join(X_46,complement(zero))) != join(top,X_46)
| join(zero,join(X_46,meet(top,top))) != join(zero,join(X_46,complement(zero)))
| join(zero,join(X_46,meet(top,top))) = join(top,X_46) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(X_46,meet(top,top))))),bind(Y,$fot(join(zero,join(X_46,complement(zero))))),bind(Z,$fot(join(top,X_46)))]]) ).
cnf(refute_0_877,plain,
( join(zero,join(X_46,complement(zero))) != join(top,X_46)
| join(zero,join(X_46,meet(top,top))) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_46,meet(top,top))),join(zero,join(X_46,complement(zero)))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
join(zero,join(X_46,meet(top,top))) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(zero,join(X_46,complement(zero))),join(top,X_46)) )],[refute_0_860,refute_0_877]) ).
cnf(refute_0_879,plain,
join(zero,join(zero,join(X_46,meet(top,top)))) = join(zero,join(zero,join(X_46,meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,join(zero,join(X_46,meet(top,top)))))]]) ).
cnf(refute_0_880,plain,
( join(zero,join(X_46,meet(top,top))) != join(top,X_46)
| join(zero,join(zero,join(X_46,meet(top,top)))) != join(zero,join(zero,join(X_46,meet(top,top))))
| join(zero,join(zero,join(X_46,meet(top,top)))) = join(zero,join(top,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,join(X_46,meet(top,top)))),join(zero,join(zero,join(X_46,meet(top,top))))) ),[1,1],$fot(join(top,X_46))]]) ).
cnf(refute_0_881,plain,
( join(zero,join(X_46,meet(top,top))) != join(top,X_46)
| join(zero,join(zero,join(X_46,meet(top,top)))) = join(zero,join(top,X_46)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_46,meet(top,top)))),join(zero,join(zero,join(X_46,meet(top,top))))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
join(zero,join(zero,join(X_46,meet(top,top)))) = join(zero,join(top,X_46)),
inference(resolve,[$cnf( $equal(join(zero,join(X_46,meet(top,top))),join(top,X_46)) )],[refute_0_878,refute_0_881]) ).
cnf(refute_0_883,plain,
( join(zero,join(top,X_46)) != join(top,X_46)
| join(zero,join(zero,join(X_46,meet(top,top)))) != join(zero,join(top,X_46))
| join(zero,join(zero,join(X_46,meet(top,top)))) = join(top,X_46) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,join(zero,join(X_46,meet(top,top)))))),bind(Y,$fot(join(zero,join(top,X_46)))),bind(Z,$fot(join(top,X_46)))]]) ).
cnf(refute_0_884,plain,
( join(zero,join(top,X_46)) != join(top,X_46)
| join(zero,join(zero,join(X_46,meet(top,top)))) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_46,meet(top,top)))),join(zero,join(top,X_46))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(zero,join(zero,join(X_46,meet(top,top)))) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_46)),join(top,X_46)) )],[refute_0_852,refute_0_884]) ).
cnf(refute_0_886,plain,
( join(X_46,top) != join(zero,join(zero,join(X_46,meet(top,top))))
| join(zero,join(zero,join(X_46,meet(top,top)))) != join(top,X_46)
| join(X_46,top) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_46,top),join(top,X_46)) ),[0],$fot(join(zero,join(zero,join(X_46,meet(top,top)))))]]) ).
cnf(refute_0_887,plain,
( join(X_46,top) != join(zero,join(zero,join(X_46,meet(top,top))))
| join(X_46,top) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_46,meet(top,top)))),join(top,X_46)) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
join(X_46,top) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(X_46,top),join(zero,join(zero,join(X_46,meet(top,top))))) )],[refute_0_809,refute_0_887]) ).
cnf(refute_0_889,plain,
( join(X_46,top) != join(top,X_46)
| join(top,X_46) = join(X_46,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_46,top))),bind(Y,$fot(join(top,X_46)))]]) ).
cnf(refute_0_890,plain,
join(top,X_46) = join(X_46,top),
inference(resolve,[$cnf( $equal(join(X_46,top),join(top,X_46)) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
join(top,one) = join(one,top),
inference(subst,[],[refute_0_890:[bind(X_46,$fot(one))]]) ).
cnf(refute_0_892,plain,
( join(top,one) != join(one,top)
| join(top,one) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(one,top) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,one),join(top,meet(one,complement(composition(converse(top),zero))))) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_893,plain,
( join(top,one) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(one,top) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(top,one),join(one,top)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
join(top,join(zero,join(X_40,complement(join(zero,X_40))))) = join(top,join(X_40,complement(join(zero,X_40)))),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(join(X_40,complement(join(zero,X_40)))))]]) ).
cnf(refute_0_895,plain,
top = join(zero,join(X_40,complement(join(zero,X_40)))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(zero)),bind(X_36,$fot(X_40))]]) ).
cnf(refute_0_896,plain,
( top != join(zero,join(X_40,complement(join(zero,X_40))))
| join(zero,join(X_40,complement(join(zero,X_40)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(X_40,complement(join(zero,X_40))))))]]) ).
cnf(refute_0_897,plain,
join(zero,join(X_40,complement(join(zero,X_40)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(X_40,complement(join(zero,X_40))))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
( join(top,join(zero,join(X_40,complement(join(zero,X_40))))) != join(top,join(X_40,complement(join(zero,X_40))))
| join(zero,join(X_40,complement(join(zero,X_40)))) != top
| join(top,top) = join(top,join(X_40,complement(join(zero,X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,join(X_40,complement(join(zero,X_40))))),join(top,join(X_40,complement(join(zero,X_40))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_899,plain,
( join(top,join(zero,join(X_40,complement(join(zero,X_40))))) != join(top,join(X_40,complement(join(zero,X_40))))
| join(top,top) = join(top,join(X_40,complement(join(zero,X_40)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_40,complement(join(zero,X_40)))),top) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
join(top,top) = join(top,join(X_40,complement(join(zero,X_40)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,join(X_40,complement(join(zero,X_40))))),join(top,join(X_40,complement(join(zero,X_40))))) )],[refute_0_894,refute_0_899]) ).
cnf(refute_0_901,plain,
join(top,top) = join(top,join(meet(one,complement(composition(converse(top),zero))),complement(join(zero,meet(one,complement(composition(converse(top),zero))))))),
inference(subst,[],[refute_0_900:[bind(X_40,$fot(meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_902,plain,
( join(top,top) != join(top,join(meet(one,complement(composition(converse(top),zero))),complement(join(zero,meet(one,complement(composition(converse(top),zero)))))))
| join(zero,meet(one,complement(composition(converse(top),zero)))) != one
| join(top,top) = join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(top,join(meet(one,complement(composition(converse(top),zero))),complement(join(zero,meet(one,complement(composition(converse(top),zero)))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_903,plain,
( join(top,top) != join(top,join(meet(one,complement(composition(converse(top),zero))),complement(join(zero,meet(one,complement(composition(converse(top),zero)))))))
| join(top,top) = join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(converse(top),zero)))),one) )],[refute_0_767,refute_0_902]) ).
cnf(refute_0_904,plain,
join(top,top) = join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))),
inference(resolve,[$cnf( $equal(join(top,top),join(top,join(meet(one,complement(composition(converse(top),zero))),complement(join(zero,meet(one,complement(composition(converse(top),zero)))))))) )],[refute_0_901,refute_0_903]) ).
cnf(refute_0_905,plain,
join(top,join(complement(one),C)) = join(join(top,complement(one)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_906,plain,
( join(top,complement(one)) != top
| join(top,join(complement(one),C)) != join(join(top,complement(one)),C)
| join(top,join(complement(one),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),C)),join(join(top,complement(one)),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_907,plain,
( join(top,join(complement(one),C)) != join(join(top,complement(one)),C)
| join(top,join(complement(one),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_742,refute_0_906]) ).
cnf(refute_0_908,plain,
join(top,join(complement(one),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(top,join(complement(one),C)),join(join(top,complement(one)),C)) )],[refute_0_905,refute_0_907]) ).
cnf(refute_0_909,plain,
join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))) = join(top,meet(one,complement(composition(converse(top),zero)))),
inference(subst,[],[refute_0_908:[bind(C,$fot(meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_910,plain,
join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) = join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(top)),bind(X_36,$fot(meet(one,complement(composition(converse(top),zero))))),bind(X_37,$fot(complement(one)))]]) ).
cnf(refute_0_911,plain,
( join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) != join(top,join(complement(one),meet(one,complement(composition(converse(top),zero)))))
| join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))))),bind(Y,$fot(join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))))),bind(Z,$fot(join(top,meet(one,complement(composition(converse(top),zero))))))]]) ).
cnf(refute_0_912,plain,
( join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))),join(top,join(complement(one),meet(one,complement(composition(converse(top),zero)))))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) = join(top,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(join(top,join(complement(one),meet(one,complement(composition(converse(top),zero))))),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
( join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,top) != join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one)))
| join(top,top) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one)))) ),[1],$fot(join(top,meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_915,plain,
( join(top,top) != join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one)))
| join(top,top) = join(top,meet(one,complement(composition(converse(top),zero)))) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one))),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
join(top,top) = join(top,meet(one,complement(composition(converse(top),zero)))),
inference(resolve,[$cnf( $equal(join(top,top),join(top,join(meet(one,complement(composition(converse(top),zero))),complement(one)))) )],[refute_0_904,refute_0_915]) ).
cnf(refute_0_917,plain,
( join(top,top) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,meet(one,complement(composition(converse(top),zero)))) = join(top,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,top))),bind(Y,$fot(join(top,meet(one,complement(composition(converse(top),zero))))))]]) ).
cnf(refute_0_918,plain,
join(top,meet(one,complement(composition(converse(top),zero)))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,top),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
( join(one,top) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(top,meet(one,complement(composition(converse(top),zero)))) != join(top,top)
| join(one,top) = join(top,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,top),join(top,top)) ),[0],$fot(join(top,meet(one,complement(composition(converse(top),zero)))))]]) ).
cnf(refute_0_920,plain,
( join(one,top) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(one,top) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,meet(one,complement(composition(converse(top),zero)))),join(top,top)) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
( join(top,one) != join(top,meet(one,complement(composition(converse(top),zero))))
| join(one,top) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(one,top),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_893,refute_0_920]) ).
cnf(refute_0_922,plain,
join(one,top) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,one),join(top,meet(one,complement(composition(converse(top),zero))))) )],[refute_0_770,refute_0_921]) ).
cnf(refute_0_923,plain,
( join(one,top) != join(top,top)
| join(top,top) = join(one,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(top,top)))]]) ).
cnf(refute_0_924,plain,
join(top,top) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(top,top)) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
converse(join(top,top)) = converse(join(top,top)),
introduced(tautology,[refl,[$fot(converse(join(top,top)))]]) ).
cnf(refute_0_926,plain,
( converse(join(top,top)) != converse(join(top,top))
| join(top,top) != join(one,top)
| converse(join(top,top)) = converse(join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,top)),converse(join(top,top))) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_927,plain,
( join(top,top) != join(one,top)
| converse(join(top,top)) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,top)),converse(join(top,top))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
converse(join(top,top)) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
complement(converse(join(top,top))) = complement(converse(join(top,top))),
introduced(tautology,[refl,[$fot(complement(converse(join(top,top))))]]) ).
cnf(refute_0_930,plain,
( complement(converse(join(top,top))) != complement(converse(join(top,top)))
| converse(join(top,top)) != converse(join(one,top))
| complement(converse(join(top,top))) = complement(converse(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(top,top))),complement(converse(join(top,top)))) ),[1,0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_931,plain,
( converse(join(top,top)) != converse(join(one,top))
| complement(converse(join(top,top))) = complement(converse(join(one,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(top,top))),complement(converse(join(top,top)))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
complement(converse(join(top,top))) = complement(converse(join(one,top))),
inference(resolve,[$cnf( $equal(converse(join(top,top)),converse(join(one,top))) )],[refute_0_928,refute_0_931]) ).
cnf(refute_0_933,plain,
join(sk1,complement(converse(join(top,top)))) = join(sk1,complement(converse(join(top,top)))),
introduced(tautology,[refl,[$fot(join(sk1,complement(converse(join(top,top)))))]]) ).
cnf(refute_0_934,plain,
( complement(converse(join(top,top))) != complement(converse(join(one,top)))
| join(sk1,complement(converse(join(top,top)))) != join(sk1,complement(converse(join(top,top))))
| join(sk1,complement(converse(join(top,top)))) = join(sk1,complement(converse(join(one,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(join(top,top)))),join(sk1,complement(converse(join(top,top))))) ),[1,1],$fot(complement(converse(join(one,top))))]]) ).
cnf(refute_0_935,plain,
( complement(converse(join(top,top))) != complement(converse(join(one,top)))
| join(sk1,complement(converse(join(top,top)))) = join(sk1,complement(converse(join(one,top)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(join(top,top)))),join(sk1,complement(converse(join(top,top))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
join(sk1,complement(converse(join(top,top)))) = join(sk1,complement(converse(join(one,top)))),
inference(resolve,[$cnf( $equal(complement(converse(join(top,top))),complement(converse(join(one,top)))) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
converse(join(sk1,complement(converse(join(top,top))))) = converse(join(sk1,complement(converse(join(top,top))))),
introduced(tautology,[refl,[$fot(converse(join(sk1,complement(converse(join(top,top))))))]]) ).
cnf(refute_0_938,plain,
( converse(join(sk1,complement(converse(join(top,top))))) != converse(join(sk1,complement(converse(join(top,top)))))
| join(sk1,complement(converse(join(top,top)))) != join(sk1,complement(converse(join(one,top))))
| converse(join(sk1,complement(converse(join(top,top))))) = converse(join(sk1,complement(converse(join(one,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,complement(converse(join(top,top))))),converse(join(sk1,complement(converse(join(top,top)))))) ),[1,0],$fot(join(sk1,complement(converse(join(one,top)))))]]) ).
cnf(refute_0_939,plain,
( join(sk1,complement(converse(join(top,top)))) != join(sk1,complement(converse(join(one,top))))
| converse(join(sk1,complement(converse(join(top,top))))) = converse(join(sk1,complement(converse(join(one,top))))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(converse(join(top,top))))),converse(join(sk1,complement(converse(join(top,top)))))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
converse(join(sk1,complement(converse(join(top,top))))) = converse(join(sk1,complement(converse(join(one,top))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(join(top,top)))),join(sk1,complement(converse(join(one,top))))) )],[refute_0_936,refute_0_939]) ).
cnf(refute_0_941,plain,
join(converse(join(sk1,complement(converse(join(top,top))))),C) = join(converse(join(sk1,complement(converse(join(top,top))))),C),
introduced(tautology,[refl,[$fot(join(converse(join(sk1,complement(converse(join(top,top))))),C))]]) ).
cnf(refute_0_942,plain,
( converse(join(sk1,complement(converse(join(top,top))))) != converse(join(sk1,complement(converse(join(one,top)))))
| join(converse(join(sk1,complement(converse(join(top,top))))),C) != join(converse(join(sk1,complement(converse(join(top,top))))),C)
| join(converse(join(sk1,complement(converse(join(top,top))))),C) = join(converse(join(sk1,complement(converse(join(one,top))))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(top,top))))),C),join(converse(join(sk1,complement(converse(join(top,top))))),C)) ),[1,0],$fot(converse(join(sk1,complement(converse(join(one,top))))))]]) ).
cnf(refute_0_943,plain,
( converse(join(sk1,complement(converse(join(top,top))))) != converse(join(sk1,complement(converse(join(one,top)))))
| join(converse(join(sk1,complement(converse(join(top,top))))),C) = join(converse(join(sk1,complement(converse(join(one,top))))),C) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(top,top))))),C),join(converse(join(sk1,complement(converse(join(top,top))))),C)) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
join(converse(join(sk1,complement(converse(join(top,top))))),C) = join(converse(join(sk1,complement(converse(join(one,top))))),C),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(converse(join(top,top))))),converse(join(sk1,complement(converse(join(one,top)))))) )],[refute_0_940,refute_0_943]) ).
cnf(refute_0_945,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))]]) ).
cnf(refute_0_946,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))
| join(converse(join(sk1,complement(converse(join(top,top))))),C) != join(converse(join(sk1,complement(converse(join(one,top))))),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) ),[1,1],$fot(join(converse(join(sk1,complement(converse(join(one,top))))),C))]]) ).
cnf(refute_0_947,plain,
( join(converse(join(sk1,complement(converse(join(top,top))))),C) != join(converse(join(sk1,complement(converse(join(one,top))))),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(top,top))))),C),join(converse(join(sk1,complement(converse(join(one,top))))),C)) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),
introduced(tautology,[refl,[$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))))]]) ).
cnf(refute_0_950,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))) ),[1,1],$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))]]) ).
cnf(refute_0_951,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) )],[refute_0_948,refute_0_951]) ).
cnf(refute_0_953,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) != join(converse(top),C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(converse(top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),join(converse(top),C)) ),[0],$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))))]]) ).
cnf(refute_0_954,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))) != join(converse(top),C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(converse(top),C) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(converse(top),C),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(top,top))))),C))),join(converse(top),C)) )],[refute_0_698,refute_0_954]) ).
cnf(refute_0_956,plain,
converse(join(converse(X_8),complement(converse(X_8)))) = join(X_8,converse(complement(converse(X_8)))),
inference(subst,[],[refute_0_576:[bind(A,$fot(X_8)),bind(X_7,$fot(complement(converse(X_8))))]]) ).
cnf(refute_0_957,plain,
top = join(converse(X_8),complement(converse(X_8))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_8)))]]) ).
cnf(refute_0_958,plain,
( top != join(converse(X_8),complement(converse(X_8)))
| join(converse(X_8),complement(converse(X_8))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_8),complement(converse(X_8)))))]]) ).
cnf(refute_0_959,plain,
join(converse(X_8),complement(converse(X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_8),complement(converse(X_8)))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| join(converse(X_8),complement(converse(X_8))) != top
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_961,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_8),complement(converse(X_8))),top) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
converse(top) = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_956,refute_0_961]) ).
cnf(refute_0_963,plain,
converse(top) = join(join(X_34,converse(X_33)),converse(complement(converse(join(X_34,converse(X_33)))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(join(X_34,converse(X_33))))]]) ).
cnf(refute_0_964,plain,
converse(join(X_34,converse(X_33))) = join(converse(X_34),X_33),
inference(subst,[],[refute_0_670:[bind(A,$fot(X_33)),bind(X_6,$fot(X_34))]]) ).
cnf(refute_0_965,plain,
( converse(join(X_34,converse(X_33))) != join(converse(X_34),X_33)
| converse(top) != join(join(X_34,converse(X_33)),converse(complement(converse(join(X_34,converse(X_33))))))
| converse(top) = join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_34,converse(X_33)),converse(complement(converse(join(X_34,converse(X_33))))))) ),[1,1,0,0],$fot(join(converse(X_34),X_33))]]) ).
cnf(refute_0_966,plain,
( converse(top) != join(join(X_34,converse(X_33)),converse(complement(converse(join(X_34,converse(X_33))))))
| converse(top) = join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_34,converse(X_33))),join(converse(X_34),X_33)) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
converse(top) = join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_34,converse(X_33)),converse(complement(converse(join(X_34,converse(X_33))))))) )],[refute_0_963,refute_0_966]) ).
cnf(refute_0_968,plain,
join(converse(X_33),converse(complement(join(converse(X_34),X_33)))) = converse(join(X_33,complement(join(converse(X_34),X_33)))),
inference(subst,[],[refute_0_365:[bind(A,$fot(X_33)),bind(B,$fot(complement(join(converse(X_34),X_33))))]]) ).
cnf(refute_0_969,plain,
join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) = join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))),
introduced(tautology,[refl,[$fot(join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))))]]) ).
cnf(refute_0_970,plain,
( join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) != join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33)))))
| join(converse(X_33),converse(complement(join(converse(X_34),X_33)))) != converse(join(X_33,complement(join(converse(X_34),X_33))))
| join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))),join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33)))))) ),[1,1],$fot(converse(join(X_33,complement(join(converse(X_34),X_33)))))]]) ).
cnf(refute_0_971,plain,
( join(converse(X_33),converse(complement(join(converse(X_34),X_33)))) != converse(join(X_33,complement(join(converse(X_34),X_33))))
| join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
inference(resolve,[$cnf( $equal(join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))),join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33)))))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))),
inference(resolve,[$cnf( $equal(join(converse(X_33),converse(complement(join(converse(X_34),X_33)))),converse(join(X_33,complement(join(converse(X_34),X_33))))) )],[refute_0_968,refute_0_971]) ).
cnf(refute_0_973,plain,
join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) = join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_34)),bind(B,$fot(converse(X_33))),bind(C,$fot(converse(complement(join(converse(X_34),X_33)))))]]) ).
cnf(refute_0_974,plain,
( join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) != join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))
| join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) != join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33)))))
| join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))))),bind(Y,$fot(join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))))),bind(Z,$fot(join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))))]]) ).
cnf(refute_0_975,plain,
( join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))) != join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))
| join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))),join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33)))))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))),
inference(resolve,[$cnf( $equal(join(X_34,join(converse(X_33),converse(complement(join(converse(X_34),X_33))))),join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))) )],[refute_0_972,refute_0_975]) ).
cnf(refute_0_977,plain,
( converse(top) != join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33))))
| join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))) != join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))
| converse(top) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))) ),[0],$fot(join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))))]]) ).
cnf(refute_0_978,plain,
( converse(top) != join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33))))
| converse(top) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33)))),join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33)))))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
converse(top) = join(X_34,converse(join(X_33,complement(join(converse(X_34),X_33))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_34,converse(X_33)),converse(complement(join(converse(X_34),X_33))))) )],[refute_0_967,refute_0_978]) ).
cnf(refute_0_980,plain,
converse(top) = join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))),
inference(subst,[],[refute_0_979:[bind(X_33,$fot(complement(converse(join(complement(sk2),complement(converse(sk1))))))),bind(X_34,$fot(join(top,complement(converse(top)))))]]) ).
cnf(refute_0_981,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(top)),bind(X_7,$fot(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_982,plain,
top = join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))]]) ).
cnf(refute_0_983,plain,
join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(zero,join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))),
inference(subst,[],[refute_0_463:[bind(X_35,$fot(converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))]]) ).
cnf(refute_0_984,plain,
converse(top) = join(join(X_12,X_11),converse(complement(converse(join(X_12,X_11))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(join(X_12,X_11)))]]) ).
cnf(refute_0_985,plain,
converse(join(X_12,X_11)) = converse(join(X_11,X_12)),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(X_11)),bind(X_7,$fot(X_12))]]) ).
cnf(refute_0_986,plain,
( converse(join(X_12,X_11)) != converse(join(X_11,X_12))
| converse(top) != join(join(X_12,X_11),converse(complement(converse(join(X_12,X_11)))))
| converse(top) = join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_12,X_11),converse(complement(converse(join(X_12,X_11)))))) ),[1,1,0,0],$fot(converse(join(X_11,X_12)))]]) ).
cnf(refute_0_987,plain,
( converse(top) != join(join(X_12,X_11),converse(complement(converse(join(X_12,X_11)))))
| converse(top) = join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_12,X_11)),converse(join(X_11,X_12))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
converse(top) = join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_12,X_11),converse(complement(converse(join(X_12,X_11)))))) )],[refute_0_984,refute_0_987]) ).
cnf(refute_0_989,plain,
join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))) = join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12)))))),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_12)),bind(B,$fot(X_11)),bind(C,$fot(converse(complement(converse(join(X_11,X_12))))))]]) ).
cnf(refute_0_990,plain,
( converse(top) != join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12)))))
| join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))) != join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12))))))
| converse(top) = join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12))))))) ),[0],$fot(join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))))]]) ).
cnf(refute_0_991,plain,
( converse(top) != join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12)))))
| converse(top) = join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12))))),join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12))))))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
converse(top) = join(X_12,join(X_11,converse(complement(converse(join(X_11,X_12)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_12,X_11),converse(complement(converse(join(X_11,X_12)))))) )],[refute_0_988,refute_0_991]) ).
cnf(refute_0_993,plain,
converse(top) = join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))),
inference(subst,[],[refute_0_992:[bind(X_11,$fot(complement(converse(sk1)))),bind(X_12,$fot(complement(sk2)))]]) ).
cnf(refute_0_994,plain,
( converse(top) != join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))
| join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))))]]) ).
cnf(refute_0_995,plain,
join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
( join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) != converse(top)
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))))
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_997,plain,
( join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(zero,join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))))
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))),converse(top)) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(zero,join(complement(sk2),join(complement(converse(sk1)),converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))))) )],[refute_0_983,refute_0_997]) ).
cnf(refute_0_999,plain,
join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(composition(converse(X_27),converse(X_26))))) = complement(converse(X_26)),
inference(subst,[],[refute_0_131:[bind(A,$fot(converse(X_27))),bind(B,$fot(converse(X_26)))]]) ).
cnf(refute_0_1000,plain,
converse(composition(X_26,X_27)) = composition(converse(X_27),converse(X_26)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_26)),bind(B,$fot(X_27))]]) ).
cnf(refute_0_1001,plain,
( converse(composition(X_26,X_27)) != composition(converse(X_27),converse(X_26))
| composition(converse(X_27),converse(X_26)) = converse(composition(X_26,X_27)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_26,X_27)))),bind(Y,$fot(composition(converse(X_27),converse(X_26))))]]) ).
cnf(refute_0_1002,plain,
composition(converse(X_27),converse(X_26)) = converse(composition(X_26,X_27)),
inference(resolve,[$cnf( $equal(converse(composition(X_26,X_27)),composition(converse(X_27),converse(X_26))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
( composition(converse(X_27),converse(X_26)) != converse(composition(X_26,X_27))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(composition(converse(X_27),converse(X_26))))) != complement(converse(X_26))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(composition(converse(X_27),converse(X_26))))),complement(converse(X_26))) ),[0,1,1,0],$fot(converse(composition(X_26,X_27)))]]) ).
cnf(refute_0_1004,plain,
( join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(composition(converse(X_27),converse(X_26))))) != complement(converse(X_26))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_27),converse(X_26)),converse(composition(X_26,X_27))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(composition(converse(X_27),converse(X_26))))),complement(converse(X_26))) )],[refute_0_999,refute_0_1004]) ).
cnf(refute_0_1006,plain,
converse(converse(X_27)) = X_27,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_27))]]) ).
cnf(refute_0_1007,plain,
composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) = composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))))]]) ).
cnf(refute_0_1008,plain,
( composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) != composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))
| converse(converse(X_27)) != X_27
| composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) = composition(X_27,complement(converse(composition(X_26,X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_1009,plain,
( converse(converse(X_27)) != X_27
| composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) = composition(X_27,complement(converse(composition(X_26,X_27)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) = composition(X_27,complement(converse(composition(X_26,X_27)))),
inference(resolve,[$cnf( $equal(converse(converse(X_27)),X_27) )],[refute_0_1006,refute_0_1009]) ).
cnf(refute_0_1011,plain,
join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))))]]) ).
cnf(refute_0_1012,plain,
( composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) != composition(X_27,complement(converse(composition(X_26,X_27))))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) != join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))))) ),[1,1],$fot(composition(X_27,complement(converse(composition(X_26,X_27)))))]]) ).
cnf(refute_0_1013,plain,
( composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))) != composition(X_27,complement(converse(composition(X_26,X_27))))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) = join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27)))),composition(X_27,complement(converse(composition(X_26,X_27))))) )],[refute_0_1010,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) != complement(converse(X_26))
| join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) != join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27)))))
| join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),complement(converse(X_26))) ),[0],$fot(join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))))]]) ).
cnf(refute_0_1016,plain,
( join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))) != complement(converse(X_26))
| join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27)))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
join(complement(converse(X_26)),composition(X_27,complement(converse(composition(X_26,X_27))))) = complement(converse(X_26)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_26)),composition(converse(converse(X_27)),complement(converse(composition(X_26,X_27))))),complement(converse(X_26))) )],[refute_0_1005,refute_0_1016]) ).
cnf(refute_0_1018,plain,
join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) = complement(converse(join(X_6,X_7))),
inference(subst,[],[refute_0_1017:[bind(X_26,$fot(join(X_6,X_7))),bind(X_27,$fot(X_59))]]) ).
cnf(refute_0_1019,plain,
( converse(join(X_7,X_6)) != converse(join(X_6,X_7))
| converse(join(X_6,X_7)) = converse(join(X_7,X_6)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_7,X_6)))),bind(Y,$fot(converse(join(X_6,X_7))))]]) ).
cnf(refute_0_1020,plain,
converse(join(X_6,X_7)) = converse(join(X_7,X_6)),
inference(resolve,[$cnf( $equal(converse(join(X_7,X_6)),converse(join(X_6,X_7))) )],[refute_0_369,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( converse(join(X_6,X_7)) != converse(join(X_7,X_6))
| join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) != complement(converse(join(X_6,X_7)))
| join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) = complement(converse(join(X_7,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))),complement(converse(join(X_6,X_7)))) ),[1,0],$fot(converse(join(X_7,X_6)))]]) ).
cnf(refute_0_1022,plain,
( join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) != complement(converse(join(X_6,X_7)))
| join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) = complement(converse(join(X_7,X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,X_7)),converse(join(X_7,X_6))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) = complement(converse(join(X_7,X_6))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))),complement(converse(join(X_6,X_7)))) )],[refute_0_1018,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) != complement(converse(join(X_6,X_7)))
| join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) != complement(converse(join(X_7,X_6)))
| complement(converse(join(X_6,X_7))) = complement(converse(join(X_7,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))),complement(converse(join(X_7,X_6)))) ),[0],$fot(complement(converse(join(X_6,X_7))))]]) ).
cnf(refute_0_1025,plain,
( join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))) != complement(converse(join(X_7,X_6)))
| complement(converse(join(X_6,X_7))) = complement(converse(join(X_7,X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))),complement(converse(join(X_6,X_7)))) )],[refute_0_1018,refute_0_1024]) ).
cnf(refute_0_1026,plain,
complement(converse(join(X_6,X_7))) = complement(converse(join(X_7,X_6))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_6,X_7))),composition(X_59,complement(converse(composition(join(X_6,X_7),X_59))))),complement(converse(join(X_7,X_6)))) )],[refute_0_1023,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( complement(converse(join(X_6,X_7))) != complement(converse(join(X_7,X_6)))
| complement(converse(join(X_7,X_6))) = complement(converse(join(X_6,X_7))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(join(X_6,X_7))))),bind(Y,$fot(complement(converse(join(X_7,X_6)))))]]) ).
cnf(refute_0_1028,plain,
complement(converse(join(X_7,X_6))) = complement(converse(join(X_6,X_7))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_6,X_7))),complement(converse(join(X_7,X_6)))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
complement(converse(join(complement(converse(sk1)),complement(sk2)))) = complement(converse(join(complement(sk2),complement(converse(sk1))))),
inference(subst,[],[refute_0_1028:[bind(X_6,$fot(complement(sk2))),bind(X_7,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_1030,plain,
converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) = converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))]]) ).
cnf(refute_0_1031,plain,
( complement(converse(join(complement(converse(sk1)),complement(sk2)))) != complement(converse(join(complement(sk2),complement(converse(sk1)))))
| converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) != converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))
| converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) = converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) ),[1,0],$fot(complement(converse(join(complement(sk2),complement(converse(sk1))))))]]) ).
cnf(refute_0_1032,plain,
( complement(converse(join(complement(converse(sk1)),complement(sk2)))) != complement(converse(join(complement(sk2),complement(converse(sk1)))))
| converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) = converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) = converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),complement(sk2)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) )],[refute_0_1029,refute_0_1032]) ).
cnf(refute_0_1034,plain,
join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) = join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))),
introduced(tautology,[refl,[$fot(join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))]]) ).
cnf(refute_0_1035,plain,
( converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) != converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))
| join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) != join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))
| join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))),join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) ),[1,1],$fot(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1036,plain,
( converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))) != converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))
| join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))),join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) )],[refute_0_1033,refute_0_1036]) ).
cnf(refute_0_1038,plain,
join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))]]) ).
cnf(refute_0_1039,plain,
( join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))
| join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) != join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top))),bind(Y,$fot(join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))))),bind(Z,$fot(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1040,plain,
( join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))) != join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) = join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(complement(converse(sk1)),complement(sk2)))))),join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) )],[refute_0_1037,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))
| join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(zero,converse(top))
| join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(zero,converse(top))) ),[0],$fot(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1043,plain,
( join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(zero,converse(top))
| join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
join(top,join(zero,X_38)) = join(top,X_38),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(X_38))]]) ).
cnf(refute_0_1045,plain,
join(X_38,zero) = join(zero,X_38),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_38)),bind(B,$fot(zero))]]) ).
cnf(refute_0_1046,plain,
( join(X_38,zero) != join(zero,X_38)
| join(zero,X_38) = join(X_38,zero) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_38,zero))),bind(Y,$fot(join(zero,X_38)))]]) ).
cnf(refute_0_1047,plain,
join(zero,X_38) = join(X_38,zero),
inference(resolve,[$cnf( $equal(join(X_38,zero),join(zero,X_38)) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( join(top,join(zero,X_38)) != join(top,X_38)
| join(zero,X_38) != join(X_38,zero)
| join(top,join(X_38,zero)) = join(top,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_38)),join(top,X_38)) ),[0,1],$fot(join(X_38,zero))]]) ).
cnf(refute_0_1049,plain,
( join(top,join(zero,X_38)) != join(top,X_38)
| join(top,join(X_38,zero)) = join(top,X_38) ),
inference(resolve,[$cnf( $equal(join(zero,X_38),join(X_38,zero)) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
join(top,join(X_38,zero)) = join(top,X_38),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_38)),join(top,X_38)) )],[refute_0_1044,refute_0_1049]) ).
cnf(refute_0_1051,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),
inference(subst,[],[refute_0_1050:[bind(X_38,$fot(converse(join(sk1,complement(join(sk1,converse(top)))))))]]) ).
cnf(refute_0_1052,plain,
converse(top) = join(join(top,complement(sk2)),converse(complement(converse(join(top,complement(sk2)))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(join(top,complement(sk2))))]]) ).
cnf(refute_0_1053,plain,
( converse(join(top,complement(sk2))) != join(sk1,converse(top))
| converse(top) != join(join(top,complement(sk2)),converse(complement(converse(join(top,complement(sk2))))))
| converse(top) = join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(top,complement(sk2)),converse(complement(converse(join(top,complement(sk2))))))) ),[1,1,0,0],$fot(join(sk1,converse(top)))]]) ).
cnf(refute_0_1054,plain,
( converse(top) != join(join(top,complement(sk2)),converse(complement(converse(join(top,complement(sk2))))))
| converse(top) = join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(sk2))),join(sk1,converse(top))) )],[refute_0_582,refute_0_1053]) ).
cnf(refute_0_1055,plain,
converse(top) = join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(top,complement(sk2)),converse(complement(converse(join(top,complement(sk2))))))) )],[refute_0_1052,refute_0_1054]) ).
cnf(refute_0_1056,plain,
converse(join(converse(A),join(X_12,X_11))) = join(A,converse(join(X_12,X_11))),
inference(subst,[],[refute_0_576:[bind(X_7,$fot(join(X_12,X_11)))]]) ).
cnf(refute_0_1057,plain,
( converse(join(X_12,X_11)) != converse(join(X_11,X_12))
| converse(join(converse(A),join(X_12,X_11))) != join(A,converse(join(X_12,X_11)))
| converse(join(converse(A),join(X_12,X_11))) = join(A,converse(join(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_12,X_11))),join(A,converse(join(X_12,X_11)))) ),[1,1],$fot(converse(join(X_11,X_12)))]]) ).
cnf(refute_0_1058,plain,
( converse(join(converse(A),join(X_12,X_11))) != join(A,converse(join(X_12,X_11)))
| converse(join(converse(A),join(X_12,X_11))) = join(A,converse(join(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(converse(join(X_12,X_11)),converse(join(X_11,X_12))) )],[refute_0_985,refute_0_1057]) ).
cnf(refute_0_1059,plain,
converse(join(converse(A),join(X_12,X_11))) = join(A,converse(join(X_11,X_12))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_12,X_11))),join(A,converse(join(X_12,X_11)))) )],[refute_0_1056,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( converse(join(converse(A),join(X_12,X_11))) != join(A,converse(join(X_11,X_12)))
| converse(join(converse(A),join(X_12,X_11))) != join(A,converse(join(X_12,X_11)))
| join(A,converse(join(X_12,X_11))) = join(A,converse(join(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_12,X_11))),join(A,converse(join(X_11,X_12)))) ),[0],$fot(join(A,converse(join(X_12,X_11))))]]) ).
cnf(refute_0_1061,plain,
( converse(join(converse(A),join(X_12,X_11))) != join(A,converse(join(X_11,X_12)))
| join(A,converse(join(X_12,X_11))) = join(A,converse(join(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_12,X_11))),join(A,converse(join(X_12,X_11)))) )],[refute_0_1056,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(A,converse(join(X_12,X_11))) = join(A,converse(join(X_11,X_12))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_12,X_11))),join(A,converse(join(X_11,X_12)))) )],[refute_0_1059,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( join(A,converse(join(X_12,X_11))) != join(A,converse(join(X_11,X_12)))
| join(A,converse(join(X_11,X_12))) = join(A,converse(join(X_12,X_11))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(X_12,X_11))))),bind(Y,$fot(join(A,converse(join(X_11,X_12)))))]]) ).
cnf(refute_0_1064,plain,
join(A,converse(join(X_11,X_12))) = join(A,converse(join(X_12,X_11))),
inference(resolve,[$cnf( $equal(join(A,converse(join(X_12,X_11))),join(A,converse(join(X_11,X_12)))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(top,converse(join(complement(join(sk1,converse(top))),sk1))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),
inference(subst,[],[refute_0_1064:[bind(A,$fot(top)),bind(X_11,$fot(complement(join(sk1,converse(top))))),bind(X_12,$fot(sk1))]]) ).
cnf(refute_0_1066,plain,
converse(join(X_6,converse(join(top,complement(sk2))))) = join(converse(X_6),join(top,complement(sk2))),
inference(subst,[],[refute_0_670:[bind(A,$fot(join(top,complement(sk2))))]]) ).
cnf(refute_0_1067,plain,
( converse(join(X_6,converse(join(top,complement(sk2))))) != join(converse(X_6),join(top,complement(sk2)))
| converse(join(top,complement(sk2))) != join(sk1,converse(top))
| converse(join(X_6,join(sk1,converse(top)))) = join(converse(X_6),join(top,complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(join(top,complement(sk2))))),join(converse(X_6),join(top,complement(sk2)))) ),[0,0,1],$fot(join(sk1,converse(top)))]]) ).
cnf(refute_0_1068,plain,
( converse(join(X_6,converse(join(top,complement(sk2))))) != join(converse(X_6),join(top,complement(sk2)))
| converse(join(X_6,join(sk1,converse(top)))) = join(converse(X_6),join(top,complement(sk2))) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(sk2))),join(sk1,converse(top))) )],[refute_0_582,refute_0_1067]) ).
cnf(refute_0_1069,plain,
converse(join(X_6,join(sk1,converse(top)))) = join(converse(X_6),join(top,complement(sk2))),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(join(top,complement(sk2))))),join(converse(X_6),join(top,complement(sk2)))) )],[refute_0_1066,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(converse(join(X_6,sk1)),top) = join(top,converse(join(X_6,sk1))),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(converse(join(X_6,sk1))))]]) ).
cnf(refute_0_1071,plain,
converse(join(X_6,join(sk1,converse(top)))) = join(converse(join(X_6,sk1)),top),
inference(subst,[],[refute_0_677:[bind(A,$fot(top)),bind(X_35,$fot(X_6)),bind(X_36,$fot(sk1))]]) ).
cnf(refute_0_1072,plain,
( converse(join(X_6,join(sk1,converse(top)))) != join(converse(join(X_6,sk1)),top)
| join(converse(join(X_6,sk1)),top) != join(top,converse(join(X_6,sk1)))
| converse(join(X_6,join(sk1,converse(top)))) = join(top,converse(join(X_6,sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(X_6,join(sk1,converse(top)))))),bind(Y,$fot(join(converse(join(X_6,sk1)),top))),bind(Z,$fot(join(top,converse(join(X_6,sk1)))))]]) ).
cnf(refute_0_1073,plain,
( join(converse(join(X_6,sk1)),top) != join(top,converse(join(X_6,sk1)))
| converse(join(X_6,join(sk1,converse(top)))) = join(top,converse(join(X_6,sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(sk1,converse(top)))),join(converse(join(X_6,sk1)),top)) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
converse(join(X_6,join(sk1,converse(top)))) = join(top,converse(join(X_6,sk1))),
inference(resolve,[$cnf( $equal(join(converse(join(X_6,sk1)),top),join(top,converse(join(X_6,sk1)))) )],[refute_0_1070,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( converse(join(X_6,join(sk1,converse(top)))) != join(converse(X_6),join(top,complement(sk2)))
| converse(join(X_6,join(sk1,converse(top)))) != join(top,converse(join(X_6,sk1)))
| join(top,converse(join(X_6,sk1))) = join(converse(X_6),join(top,complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(sk1,converse(top)))),join(converse(X_6),join(top,complement(sk2)))) ),[0],$fot(join(top,converse(join(X_6,sk1))))]]) ).
cnf(refute_0_1076,plain,
( converse(join(X_6,join(sk1,converse(top)))) != join(converse(X_6),join(top,complement(sk2)))
| join(top,converse(join(X_6,sk1))) = join(converse(X_6),join(top,complement(sk2))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(sk1,converse(top)))),join(top,converse(join(X_6,sk1)))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(top,join(converse(X_6),complement(sk2))) = join(top,join(complement(sk2),converse(X_6))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(X_6))),bind(X_37,$fot(complement(sk2)))]]) ).
cnf(refute_0_1078,plain,
join(converse(X_6),join(top,complement(sk2))) = join(top,join(converse(X_6),complement(sk2))),
inference(subst,[],[refute_0_662:[bind(C,$fot(complement(sk2))),bind(X_45,$fot(converse(X_6)))]]) ).
cnf(refute_0_1079,plain,
( join(converse(X_6),join(top,complement(sk2))) != join(top,join(converse(X_6),complement(sk2)))
| join(top,join(converse(X_6),complement(sk2))) != join(top,join(complement(sk2),converse(X_6)))
| join(converse(X_6),join(top,complement(sk2))) = join(top,join(complement(sk2),converse(X_6))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(X_6),join(top,complement(sk2))))),bind(Y,$fot(join(top,join(converse(X_6),complement(sk2))))),bind(Z,$fot(join(top,join(complement(sk2),converse(X_6)))))]]) ).
cnf(refute_0_1080,plain,
( join(top,join(converse(X_6),complement(sk2))) != join(top,join(complement(sk2),converse(X_6)))
| join(converse(X_6),join(top,complement(sk2))) = join(top,join(complement(sk2),converse(X_6))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(top,complement(sk2))),join(top,join(converse(X_6),complement(sk2)))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(converse(X_6),join(top,complement(sk2))) = join(top,join(complement(sk2),converse(X_6))),
inference(resolve,[$cnf( $equal(join(top,join(converse(X_6),complement(sk2))),join(top,join(complement(sk2),converse(X_6)))) )],[refute_0_1077,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( join(converse(X_6),join(top,complement(sk2))) != join(top,join(complement(sk2),converse(X_6)))
| join(top,converse(join(X_6,sk1))) != join(converse(X_6),join(top,complement(sk2)))
| join(top,converse(join(X_6,sk1))) = join(top,join(complement(sk2),converse(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(join(X_6,sk1))),join(converse(X_6),join(top,complement(sk2)))) ),[1],$fot(join(top,join(complement(sk2),converse(X_6))))]]) ).
cnf(refute_0_1083,plain,
( join(top,converse(join(X_6,sk1))) != join(converse(X_6),join(top,complement(sk2)))
| join(top,converse(join(X_6,sk1))) = join(top,join(complement(sk2),converse(X_6))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(top,complement(sk2))),join(top,join(complement(sk2),converse(X_6)))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( converse(join(X_6,join(sk1,converse(top)))) != join(converse(X_6),join(top,complement(sk2)))
| join(top,converse(join(X_6,sk1))) = join(top,join(complement(sk2),converse(X_6))) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_6,sk1))),join(converse(X_6),join(top,complement(sk2)))) )],[refute_0_1076,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(top,converse(join(X_6,sk1))) = join(top,join(complement(sk2),converse(X_6))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(sk1,converse(top)))),join(converse(X_6),join(top,complement(sk2)))) )],[refute_0_1069,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( join(top,converse(join(X_6,sk1))) != join(top,join(complement(sk2),converse(X_6)))
| join(top,join(complement(sk2),converse(X_6))) = join(top,converse(join(X_6,sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,converse(join(X_6,sk1))))),bind(Y,$fot(join(top,join(complement(sk2),converse(X_6)))))]]) ).
cnf(refute_0_1087,plain,
join(top,join(complement(sk2),converse(X_6))) = join(top,converse(join(X_6,sk1))),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_6,sk1))),join(top,join(complement(sk2),converse(X_6)))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) = join(top,converse(join(complement(join(sk1,converse(top))),sk1))),
inference(subst,[],[refute_0_1087:[bind(X_6,$fot(complement(join(sk1,converse(top)))))]]) ).
cnf(refute_0_1089,plain,
( join(top,converse(join(complement(join(sk1,converse(top))),sk1))) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) != join(top,converse(join(complement(join(sk1,converse(top))),sk1)))
| join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))))),bind(Y,$fot(join(top,converse(join(complement(join(sk1,converse(top))),sk1))))),bind(Z,$fot(join(top,converse(join(sk1,complement(join(sk1,converse(top))))))))]]) ).
cnf(refute_0_1090,plain,
( join(top,converse(join(complement(join(sk1,converse(top))),sk1))) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))),join(top,converse(join(complement(join(sk1,converse(top))),sk1)))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(join(sk1,converse(top))),sk1))),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) )],[refute_0_1065,refute_0_1090]) ).
cnf(refute_0_1092,plain,
join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) = join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))),
inference(subst,[],[refute_0_92:[bind(A,$fot(top)),bind(B,$fot(complement(sk2))),bind(C,$fot(converse(complement(join(sk1,converse(top))))))]]) ).
cnf(refute_0_1093,plain,
( join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) != join(top,join(complement(sk2),converse(complement(join(sk1,converse(top))))))
| join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))))),bind(Y,$fot(join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))))),bind(Z,$fot(join(top,converse(join(sk1,complement(join(sk1,converse(top))))))))]]) ).
cnf(refute_0_1094,plain,
( join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))),join(top,join(complement(sk2),converse(complement(join(sk1,converse(top))))))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),converse(complement(join(sk1,converse(top)))))),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) )],[refute_0_1091,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( converse(top) != join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top)))))
| join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| converse(top) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) ),[0],$fot(join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))))]]) ).
cnf(refute_0_1097,plain,
( converse(top) != join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top)))))
| converse(top) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top))))),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
converse(top) = join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(top,complement(sk2)),converse(complement(join(sk1,converse(top)))))) )],[refute_0_1055,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( converse(top) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(sk1,complement(join(sk1,converse(top))))))))]]) ).
cnf(refute_0_1100,plain,
join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) != converse(top)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_1102,plain,
( join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != join(top,converse(join(sk1,complement(join(sk1,converse(top))))))
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),converse(top)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),join(top,converse(join(sk1,complement(join(sk1,converse(top))))))) )],[refute_0_1051,refute_0_1102]) ).
cnf(refute_0_1104,plain,
join(converse(top),zero) = join(zero,converse(top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(converse(top)))]]) ).
cnf(refute_0_1105,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) = join(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(converse(join(sk1,complement(join(sk1,converse(top)))))))]]) ).
cnf(refute_0_1106,plain,
( join(top,converse(join(sk1,complement(join(sk1,converse(top)))))) != converse(top)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) != join(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),C)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) = join(converse(top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)),join(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),C)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1107,plain,
( join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) != join(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),C)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) = join(converse(top),C) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),converse(top)) )],[refute_0_1100,refute_0_1106]) ).
cnf(refute_0_1108,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)) = join(converse(top),C),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),C)),join(join(top,converse(join(sk1,complement(join(sk1,converse(top)))))),C)) )],[refute_0_1105,refute_0_1107]) ).
cnf(refute_0_1109,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = join(converse(top),zero),
inference(subst,[],[refute_0_1108:[bind(C,$fot(zero))]]) ).
cnf(refute_0_1110,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != join(converse(top),zero)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = join(zero,converse(top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)))),bind(Y,$fot(join(converse(top),zero))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_0_1111,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),join(converse(top),zero)) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),zero),join(zero,converse(top))) )],[refute_0_1104,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != converse(top)
| join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != join(zero,converse(top))
| join(zero,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_0_1114,plain,
( join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)) != converse(top)
| join(zero,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),join(zero,converse(top))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
join(zero,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(sk1,complement(join(sk1,converse(top))))),zero)),converse(top)) )],[refute_0_1103,refute_0_1114]) ).
cnf(refute_0_1116,plain,
( join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) != join(zero,converse(top))
| join(zero,converse(top)) != converse(top)
| join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_0_1117,plain,
( join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) != join(zero,converse(top))
| join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
( join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top) != join(zero,converse(top))
| join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),join(zero,converse(top))) )],[refute_0_1043,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(converse(sk1)),complement(sk2))))),top),join(zero,converse(top))) )],[refute_0_998,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))) != converse(top)
| top != join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))
| top = join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))) ),[1,1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1121,plain,
( top != join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))
| top = join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),converse(top)) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
top = join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))),
inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(join(top,converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))) )],[refute_0_982,refute_0_1121]) ).
cnf(refute_0_1123,plain,
join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))) = join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))),bind(X_37,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1124,plain,
( join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))) != join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))
| top != join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top))))
| top = join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top))))) ),[1],$fot(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1125,plain,
( top != join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top))))
| top = join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top)))),join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
top = join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top))))) )],[refute_0_1122,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( top != join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))
| join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1128,plain,
join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != top
| converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1130,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))),top) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_981,refute_0_1130]) ).
cnf(refute_0_1132,plain,
converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))),
inference(subst,[],[refute_0_677:[bind(A,$fot(complement(converse(join(complement(sk2),complement(converse(sk1))))))),bind(X_35,$fot(top)),bind(X_36,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1133,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))) != join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))
| converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)))),bind(Y,$fot(converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))))),bind(Z,$fot(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1134,plain,
( converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))) != join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))
| converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_981,refute_0_1133]) ).
cnf(refute_0_1135,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) = join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))))),join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))) )],[refute_0_1132,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != converse(top)
| converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))
| join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),converse(top)) ),[0],$fot(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1137,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)) != converse(top)
| join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(join(complement(sk2),complement(converse(sk1))))))),top)),converse(top)) )],[refute_0_1131,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( converse(top) != join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))
| join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) != converse(top)
| converse(top) = join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1140,plain,
( converse(top) != join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))
| converse(top) = join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1)))))),converse(top)) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
converse(top) = join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(join(converse(join(top,complement(converse(top)))),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))) )],[refute_0_980,refute_0_1140]) ).
cnf(refute_0_1142,plain,
join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),
inference(subst,[],[refute_0_92:[bind(A,$fot(top)),bind(B,$fot(complement(converse(top)))),bind(C,$fot(converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1143,plain,
join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) = join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),
inference(subst,[],[refute_0_1064:[bind(A,$fot(join(top,complement(converse(top))))),bind(X_11,$fot(complement(converse(join(complement(sk2),complement(converse(sk1))))))),bind(X_12,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1144,plain,
( join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) != join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))
| join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))))),bind(Y,$fot(join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))),bind(Z,$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))))]]) ).
cnf(refute_0_1145,plain,
( join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))),join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),
inference(resolve,[$cnf( $equal(join(join(top,complement(converse(top))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( converse(top) != join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top)))))
| join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| converse(top) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) ),[0],$fot(join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))))]]) ).
cnf(refute_0_1148,plain,
( converse(top) != join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top)))))
| converse(top) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))))),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
converse(top) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(top,complement(converse(top))),converse(join(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top)))))) )],[refute_0_1141,refute_0_1148]) ).
cnf(refute_0_1150,plain,
join(converse(top),complement(converse(top))) = top,
inference(subst,[],[refute_0_35:[bind(A,$fot(converse(top)))]]) ).
cnf(refute_0_1151,plain,
join(X_35,join(converse(complement(converse(X_35))),X_37)) = join(join(X_35,converse(complement(converse(X_35)))),X_37),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_35)),bind(B,$fot(converse(complement(converse(X_35))))),bind(C,$fot(X_37))]]) ).
cnf(refute_0_1152,plain,
converse(top) = join(X_35,converse(complement(converse(X_35)))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(X_35))]]) ).
cnf(refute_0_1153,plain,
( converse(top) != join(X_35,converse(complement(converse(X_35))))
| join(X_35,converse(complement(converse(X_35)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_35,converse(complement(converse(X_35))))))]]) ).
cnf(refute_0_1154,plain,
join(X_35,converse(complement(converse(X_35)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_35,converse(complement(converse(X_35))))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( join(X_35,converse(complement(converse(X_35)))) != converse(top)
| join(X_35,join(converse(complement(converse(X_35))),X_37)) != join(join(X_35,converse(complement(converse(X_35)))),X_37)
| join(X_35,join(converse(complement(converse(X_35))),X_37)) = join(converse(top),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_35,join(converse(complement(converse(X_35))),X_37)),join(join(X_35,converse(complement(converse(X_35)))),X_37)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1156,plain,
( join(X_35,join(converse(complement(converse(X_35))),X_37)) != join(join(X_35,converse(complement(converse(X_35)))),X_37)
| join(X_35,join(converse(complement(converse(X_35))),X_37)) = join(converse(top),X_37) ),
inference(resolve,[$cnf( $equal(join(X_35,converse(complement(converse(X_35)))),converse(top)) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(X_35,join(converse(complement(converse(X_35))),X_37)) = join(converse(top),X_37),
inference(resolve,[$cnf( $equal(join(X_35,join(converse(complement(converse(X_35))),X_37)),join(join(X_35,converse(complement(converse(X_35)))),X_37)) )],[refute_0_1151,refute_0_1156]) ).
cnf(refute_0_1158,plain,
join(X_72,join(converse(complement(converse(X_72))),X_73)) = join(converse(top),X_73),
inference(subst,[],[refute_0_1157:[bind(X_35,$fot(X_72)),bind(X_37,$fot(X_73))]]) ).
cnf(refute_0_1159,plain,
join(X_73,converse(complement(converse(X_72)))) = join(converse(complement(converse(X_72))),X_73),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_73)),bind(B,$fot(converse(complement(converse(X_72)))))]]) ).
cnf(refute_0_1160,plain,
( join(X_73,converse(complement(converse(X_72)))) != join(converse(complement(converse(X_72))),X_73)
| join(converse(complement(converse(X_72))),X_73) = join(X_73,converse(complement(converse(X_72)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_73,converse(complement(converse(X_72)))))),bind(Y,$fot(join(converse(complement(converse(X_72))),X_73)))]]) ).
cnf(refute_0_1161,plain,
join(converse(complement(converse(X_72))),X_73) = join(X_73,converse(complement(converse(X_72)))),
inference(resolve,[$cnf( $equal(join(X_73,converse(complement(converse(X_72)))),join(converse(complement(converse(X_72))),X_73)) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( join(X_72,join(converse(complement(converse(X_72))),X_73)) != join(converse(top),X_73)
| join(converse(complement(converse(X_72))),X_73) != join(X_73,converse(complement(converse(X_72))))
| join(X_72,join(X_73,converse(complement(converse(X_72))))) = join(converse(top),X_73) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_72,join(converse(complement(converse(X_72))),X_73)),join(converse(top),X_73)) ),[0,1],$fot(join(X_73,converse(complement(converse(X_72)))))]]) ).
cnf(refute_0_1163,plain,
( join(X_72,join(converse(complement(converse(X_72))),X_73)) != join(converse(top),X_73)
| join(X_72,join(X_73,converse(complement(converse(X_72))))) = join(converse(top),X_73) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_72))),X_73),join(X_73,converse(complement(converse(X_72))))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
join(X_72,join(X_73,converse(complement(converse(X_72))))) = join(converse(top),X_73),
inference(resolve,[$cnf( $equal(join(X_72,join(converse(complement(converse(X_72))),X_73)),join(converse(top),X_73)) )],[refute_0_1158,refute_0_1163]) ).
cnf(refute_0_1165,plain,
join(top,join(complement(converse(top)),converse(complement(converse(top))))) = join(converse(top),complement(converse(top))),
inference(subst,[],[refute_0_1164:[bind(X_72,$fot(top)),bind(X_73,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1166,plain,
( join(converse(top),complement(converse(top))) != top
| join(top,join(complement(converse(top)),converse(complement(converse(top))))) != join(converse(top),complement(converse(top)))
| join(top,join(complement(converse(top)),converse(complement(converse(top))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(converse(top)),converse(complement(converse(top))))))),bind(Y,$fot(join(converse(top),complement(converse(top))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1167,plain,
( join(converse(top),complement(converse(top))) != top
| join(top,join(complement(converse(top)),converse(complement(converse(top))))) = top ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(complement(converse(top))))),join(converse(top),complement(converse(top)))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
join(top,join(complement(converse(top)),converse(complement(converse(top))))) = top,
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(top))),top) )],[refute_0_1150,refute_0_1167]) ).
cnf(refute_0_1169,plain,
join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) = complement(B),
inference(subst,[],[refute_0_131:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_1170,plain,
B = composition(converse(one),B),
inference(subst,[],[refute_0_152:[bind(X_28,$fot(B))]]) ).
cnf(refute_0_1171,plain,
( B != composition(converse(one),B)
| composition(converse(one),B) = B ),
inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(composition(converse(one),B)))]]) ).
cnf(refute_0_1172,plain,
composition(converse(one),B) = B,
inference(resolve,[$cnf( $equal(B,composition(converse(one),B)) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( composition(converse(one),B) != B
| join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) ),[0,1,1,0],$fot(B)]]) ).
cnf(refute_0_1174,plain,
( join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(converse(one),B),B) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) )],[refute_0_1169,refute_0_1174]) ).
cnf(refute_0_1176,plain,
converse(converse(one)) = one,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(one))]]) ).
cnf(refute_0_1177,plain,
composition(converse(converse(one)),complement(B)) = composition(converse(converse(one)),complement(B)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(B)))]]) ).
cnf(refute_0_1178,plain,
( composition(converse(converse(one)),complement(B)) != composition(converse(converse(one)),complement(B))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(B)) = composition(one,complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(converse(converse(one)),complement(B))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1179,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(B)) = composition(one,complement(B)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(converse(converse(one)),complement(B))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
composition(converse(converse(one)),complement(B)) = composition(one,complement(B)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_1176,refute_0_1179]) ).
cnf(refute_0_1181,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(converse(converse(one)),complement(B))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(converse(converse(one)),complement(B))))]]) ).
cnf(refute_0_1182,plain,
( composition(converse(converse(one)),complement(B)) != composition(one,complement(B))
| join(complement(B),composition(converse(converse(one)),complement(B))) != join(complement(B),composition(converse(converse(one)),complement(B)))
| join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(converse(converse(one)),complement(B)))) ),[1,1],$fot(composition(one,complement(B)))]]) ).
cnf(refute_0_1183,plain,
( composition(converse(converse(one)),complement(B)) != composition(one,complement(B))
| join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(converse(converse(one)),complement(B)))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(one,complement(B))) )],[refute_0_1180,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) != join(complement(B),composition(one,complement(B)))
| join(complement(B),composition(one,complement(B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) ),[0],$fot(join(complement(B),composition(one,complement(B))))]]) ).
cnf(refute_0_1186,plain,
( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
| join(complement(B),composition(one,complement(B))) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(one,complement(B)))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
join(complement(B),composition(one,complement(B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) )],[refute_0_1175,refute_0_1186]) ).
cnf(refute_0_1188,plain,
composition(one,complement(B)) = complement(B),
inference(subst,[],[refute_0_176:[bind(X_28,$fot(complement(B)))]]) ).
cnf(refute_0_1189,plain,
join(complement(B),composition(one,complement(B))) = join(complement(B),composition(one,complement(B))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(one,complement(B))))]]) ).
cnf(refute_0_1190,plain,
( composition(one,complement(B)) != complement(B)
| join(complement(B),composition(one,complement(B))) != join(complement(B),composition(one,complement(B)))
| join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),composition(one,complement(B)))) ),[1,1],$fot(complement(B))]]) ).
cnf(refute_0_1191,plain,
( composition(one,complement(B)) != complement(B)
| join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),composition(one,complement(B)))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)),
inference(resolve,[$cnf( $equal(composition(one,complement(B)),complement(B)) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( join(complement(B),composition(one,complement(B))) != complement(B)
| join(complement(B),composition(one,complement(B))) != join(complement(B),complement(B))
| join(complement(B),complement(B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(one,complement(B))),complement(B)) ),[0],$fot(join(complement(B),complement(B)))]]) ).
cnf(refute_0_1194,plain,
( join(complement(B),composition(one,complement(B))) != complement(B)
| join(complement(B),complement(B)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),complement(B))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(complement(B),complement(B)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),complement(B)) )],[refute_0_1187,refute_0_1194]) ).
cnf(refute_0_1196,plain,
join(complement(converse(top)),complement(converse(top))) = complement(converse(top)),
inference(subst,[],[refute_0_1195:[bind(B,$fot(converse(top)))]]) ).
cnf(refute_0_1197,plain,
join(zero,join(complement(sk2),complement(converse(sk1)))) = join(complement(sk2),complement(converse(sk1))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_1198,plain,
( join(zero,join(complement(sk2),complement(converse(sk1)))) != join(complement(sk2),complement(converse(sk1)))
| join(zero,join(complement(sk2),complement(converse(sk1)))) != top
| join(complement(sk2),complement(converse(sk1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(sk2),complement(converse(sk1)))),top) ),[0],$fot(join(complement(sk2),complement(converse(sk1))))]]) ).
cnf(refute_0_1199,plain,
( join(zero,join(complement(sk2),complement(converse(sk1)))) != top
| join(complement(sk2),complement(converse(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),complement(converse(sk1)))),join(complement(sk2),complement(converse(sk1)))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
join(complement(sk2),complement(converse(sk1))) = top,
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),complement(converse(sk1)))),top) )],[refute_0_424,refute_0_1199]) ).
cnf(refute_0_1201,plain,
converse(join(complement(sk2),complement(converse(sk1)))) = converse(join(complement(sk2),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_1202,plain,
( converse(join(complement(sk2),complement(converse(sk1)))) != converse(join(complement(sk2),complement(converse(sk1))))
| join(complement(sk2),complement(converse(sk1))) != top
| converse(join(complement(sk2),complement(converse(sk1)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(sk2),complement(converse(sk1)))),converse(join(complement(sk2),complement(converse(sk1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1203,plain,
( join(complement(sk2),complement(converse(sk1))) != top
| converse(join(complement(sk2),complement(converse(sk1)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk2),complement(converse(sk1)))),converse(join(complement(sk2),complement(converse(sk1))))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
converse(join(complement(sk2),complement(converse(sk1)))) = converse(top),
inference(resolve,[$cnf( $equal(join(complement(sk2),complement(converse(sk1))),top) )],[refute_0_1200,refute_0_1203]) ).
cnf(refute_0_1205,plain,
complement(converse(join(complement(sk2),complement(converse(sk1))))) = complement(converse(join(complement(sk2),complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(sk2),complement(converse(sk1))))))]]) ).
cnf(refute_0_1206,plain,
( complement(converse(join(complement(sk2),complement(converse(sk1))))) != complement(converse(join(complement(sk2),complement(converse(sk1)))))
| converse(join(complement(sk2),complement(converse(sk1)))) != converse(top)
| complement(converse(join(complement(sk2),complement(converse(sk1))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1207,plain,
( converse(join(complement(sk2),complement(converse(sk1)))) != converse(top)
| complement(converse(join(complement(sk2),complement(converse(sk1))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(join(complement(sk2),complement(converse(sk1)))))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
complement(converse(join(complement(sk2),complement(converse(sk1))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(complement(sk2),complement(converse(sk1)))),converse(top)) )],[refute_0_1204,refute_0_1207]) ).
cnf(refute_0_1209,plain,
join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))]]) ).
cnf(refute_0_1210,plain,
( complement(converse(join(complement(sk2),complement(converse(sk1))))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) != join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = join(complement(converse(top)),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))),join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) ),[1,1],$fot(complement(converse(top)))]]) ).
cnf(refute_0_1211,plain,
( complement(converse(join(complement(sk2),complement(converse(sk1))))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = join(complement(converse(top)),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))),join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = join(complement(converse(top)),complement(converse(top))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk2),complement(converse(sk1))))),complement(converse(top))) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) != join(complement(converse(top)),complement(converse(top)))
| join(complement(converse(top)),complement(converse(top))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = complement(converse(top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),bind(Y,$fot(join(complement(converse(top)),complement(converse(top))))),bind(Z,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1214,plain,
( join(complement(converse(top)),complement(converse(top))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))),join(complement(converse(top)),complement(converse(top)))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(top))),complement(converse(top))) )],[refute_0_1196,refute_0_1214]) ).
cnf(refute_0_1216,plain,
converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))]]) ).
cnf(refute_0_1217,plain,
( converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) != converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))
| join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) != complement(converse(top))
| converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) ),[1,0],$fot(complement(converse(top)))]]) ).
cnf(refute_0_1218,plain,
( join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))) != complement(converse(top))
| converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(complement(converse(top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) = converse(complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))),complement(converse(top))) )],[refute_0_1215,refute_0_1218]) ).
cnf(refute_0_1220,plain,
join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))]]) ).
cnf(refute_0_1221,plain,
( converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) != converse(complement(converse(top)))
| join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))
| join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = join(complement(converse(top)),converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) ),[1,1],$fot(converse(complement(converse(top))))]]) ).
cnf(refute_0_1222,plain,
( converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))) != converse(complement(converse(top)))
| join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = join(complement(converse(top)),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) = join(complement(converse(top)),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))),converse(complement(converse(top)))) )],[refute_0_1219,refute_0_1222]) ).
cnf(refute_0_1224,plain,
join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),
introduced(tautology,[refl,[$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1225,plain,
( join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != join(complement(converse(top)),converse(complement(converse(top))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = join(top,join(complement(converse(top)),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) ),[1,1],$fot(join(complement(converse(top)),converse(complement(converse(top)))))]]) ).
cnf(refute_0_1226,plain,
( join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))) != join(complement(converse(top)),converse(complement(converse(top))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = join(top,join(complement(converse(top)),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = join(top,join(complement(converse(top)),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))),join(complement(converse(top)),converse(complement(converse(top))))) )],[refute_0_1223,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( join(top,join(complement(converse(top)),converse(complement(converse(top))))) != top
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) != join(top,join(complement(converse(top)),converse(complement(converse(top)))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))),bind(Y,$fot(join(top,join(complement(converse(top)),converse(complement(converse(top))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1229,plain,
( join(top,join(complement(converse(top)),converse(complement(converse(top))))) != top
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = top ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),join(top,join(complement(converse(top)),converse(complement(converse(top)))))) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) = top,
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(complement(converse(top))))),top) )],[refute_0_1168,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( converse(top) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))))]]) ).
cnf(refute_0_1232,plain,
( converse(top) != join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1))))))))),top) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,join(complement(converse(top)),converse(join(complement(converse(top)),complement(converse(join(complement(sk2),complement(converse(sk1)))))))))) )],[refute_0_1149,refute_0_1232]) ).
cnf(refute_0_1234,plain,
join(converse(top),C) = join(converse(top),C),
introduced(tautology,[refl,[$fot(join(converse(top),C))]]) ).
cnf(refute_0_1235,plain,
( converse(top) != top
| join(converse(top),C) != join(converse(top),C)
| join(converse(top),C) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),C),join(converse(top),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1236,plain,
( converse(top) != top
| join(converse(top),C) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(converse(top),C),join(converse(top),C)) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
join(converse(top),C) = join(top,C),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1236]) ).
cnf(refute_0_1238,plain,
( join(converse(top),C) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(converse(top),C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(converse(top),C)) ),[1],$fot(join(top,C))]]) ).
cnf(refute_0_1239,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(converse(top),C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(converse(top),C),join(top,C)) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,C),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(converse(top),C)) )],[refute_0_955,refute_0_1239]) ).
cnf(refute_0_1241,plain,
join(one,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) = join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(one)),bind(X_37,$fot(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1242,plain,
top = join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(complement(one))),bind(X_36,$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))]]) ).
cnf(refute_0_1243,plain,
converse(top) = join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(converse(complement(one)),complement(composition(converse(zero),top))))))),
inference(subst,[],[refute_0_979:[bind(X_33,$fot(complement(composition(converse(zero),top)))),bind(X_34,$fot(complement(one)))]]) ).
cnf(refute_0_1244,plain,
converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = converse(join(complement(one),converse(complement(composition(converse(zero),top))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(converse(complement(composition(converse(zero),top)))))]]) ).
cnf(refute_0_1245,plain,
join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
inference(subst,[],[refute_0_713:[bind(X_37,$fot(converse(complement(converse(composition(converse(top),zero))))))]]) ).
cnf(refute_0_1246,plain,
converse(top) = join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(composition(converse(top),zero)))]]) ).
cnf(refute_0_1247,plain,
( converse(top) != join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))
| join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))))]]) ).
cnf(refute_0_1248,plain,
join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
| join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) != converse(top)
| join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1250,plain,
( join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
| join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))),converse(top)) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_1245,refute_0_1250]) ).
cnf(refute_0_1252,plain,
converse(composition(converse(top),zero)) = composition(converse(zero),top),
inference(subst,[],[refute_0_143:[bind(A,$fot(top)),bind(X_27,$fot(zero))]]) ).
cnf(refute_0_1253,plain,
complement(converse(composition(converse(top),zero))) = complement(converse(composition(converse(top),zero))),
introduced(tautology,[refl,[$fot(complement(converse(composition(converse(top),zero))))]]) ).
cnf(refute_0_1254,plain,
( complement(converse(composition(converse(top),zero))) != complement(converse(composition(converse(top),zero)))
| converse(composition(converse(top),zero)) != composition(converse(zero),top)
| complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(converse(composition(converse(top),zero)))) ),[1,0],$fot(composition(converse(zero),top))]]) ).
cnf(refute_0_1255,plain,
( converse(composition(converse(top),zero)) != composition(converse(zero),top)
| complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(converse(composition(converse(top),zero)))) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),zero)),composition(converse(zero),top)) )],[refute_0_1252,refute_0_1255]) ).
cnf(refute_0_1257,plain,
converse(complement(converse(composition(converse(top),zero)))) = converse(complement(converse(composition(converse(top),zero)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(composition(converse(top),zero)))))]]) ).
cnf(refute_0_1258,plain,
( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
| converse(complement(converse(composition(converse(top),zero)))) != converse(complement(converse(composition(converse(top),zero))))
| converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(converse(composition(converse(top),zero))))) ),[1,0],$fot(complement(composition(converse(zero),top)))]]) ).
cnf(refute_0_1259,plain,
( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
| converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(converse(composition(converse(top),zero))))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(composition(converse(zero),top))) )],[refute_0_1256,refute_0_1259]) ).
cnf(refute_0_1261,plain,
join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
introduced(tautology,[refl,[$fot(join(complement(one),converse(complement(converse(composition(converse(top),zero))))))]]) ).
cnf(refute_0_1262,plain,
( converse(complement(converse(composition(converse(top),zero)))) != converse(complement(composition(converse(zero),top)))
| join(complement(one),converse(complement(converse(composition(converse(top),zero))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
| join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[1,1],$fot(converse(complement(composition(converse(zero),top))))]]) ).
cnf(refute_0_1263,plain,
( converse(complement(converse(composition(converse(top),zero)))) != converse(complement(composition(converse(zero),top)))
| join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(composition(converse(zero),top)))) )],[refute_0_1260,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( join(complement(one),converse(complement(converse(composition(converse(top),zero))))) != join(complement(one),converse(complement(composition(converse(zero),top))))
| join(complement(one),converse(top)) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
| join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[1],$fot(join(complement(one),converse(complement(composition(converse(zero),top)))))]]) ).
cnf(refute_0_1266,plain,
( join(complement(one),converse(top)) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
| join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(composition(converse(zero),top))))) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_1251,refute_0_1266]) ).
cnf(refute_0_1268,plain,
( join(complement(one),converse(top)) != join(complement(one),converse(complement(composition(converse(zero),top))))
| join(complement(one),converse(complement(composition(converse(zero),top)))) = join(complement(one),converse(top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(one),converse(top)))),bind(Y,$fot(join(complement(one),converse(complement(composition(converse(zero),top))))))]]) ).
cnf(refute_0_1269,plain,
join(complement(one),converse(complement(composition(converse(zero),top)))) = join(complement(one),converse(top)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(composition(converse(zero),top))))) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != converse(join(complement(one),converse(complement(composition(converse(zero),top)))))
| join(complement(one),converse(complement(composition(converse(zero),top)))) != join(complement(one),converse(top))
| converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = converse(join(complement(one),converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),converse(join(complement(one),converse(complement(composition(converse(zero),top)))))) ),[1,0],$fot(join(complement(one),converse(top)))]]) ).
cnf(refute_0_1271,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != converse(join(complement(one),converse(complement(composition(converse(zero),top)))))
| converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = converse(join(complement(one),converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(converse(zero),top)))),join(complement(one),converse(top))) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = converse(join(complement(one),converse(top))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),converse(join(complement(one),converse(complement(composition(converse(zero),top)))))) )],[refute_0_1244,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(complement(composition(converse(zero),top)),converse(complement(one))) = join(converse(complement(one)),complement(composition(converse(zero),top))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(complement(one)))),bind(B,$fot(complement(composition(converse(zero),top))))]]) ).
cnf(refute_0_1274,plain,
converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = join(complement(composition(converse(zero),top)),converse(complement(one))),
inference(subst,[],[refute_0_576:[bind(A,$fot(complement(composition(converse(zero),top)))),bind(X_7,$fot(complement(one)))]]) ).
cnf(refute_0_1275,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != join(complement(composition(converse(zero),top)),converse(complement(one)))
| join(complement(composition(converse(zero),top)),converse(complement(one))) != join(converse(complement(one)),complement(composition(converse(zero),top)))
| converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = join(converse(complement(one)),complement(composition(converse(zero),top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(complement(composition(converse(zero),top))),complement(one))))),bind(Y,$fot(join(complement(composition(converse(zero),top)),converse(complement(one))))),bind(Z,$fot(join(converse(complement(one)),complement(composition(converse(zero),top)))))]]) ).
cnf(refute_0_1276,plain,
( join(complement(composition(converse(zero),top)),converse(complement(one))) != join(converse(complement(one)),complement(composition(converse(zero),top)))
| converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = join(converse(complement(one)),complement(composition(converse(zero),top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),join(complement(composition(converse(zero),top)),converse(complement(one)))) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
converse(join(converse(complement(composition(converse(zero),top))),complement(one))) = join(converse(complement(one)),complement(composition(converse(zero),top))),
inference(resolve,[$cnf( $equal(join(complement(composition(converse(zero),top)),converse(complement(one))),join(converse(complement(one)),complement(composition(converse(zero),top)))) )],[refute_0_1273,refute_0_1276]) ).
cnf(refute_0_1278,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != converse(join(complement(one),converse(top)))
| converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != join(converse(complement(one)),complement(composition(converse(zero),top)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) = converse(join(complement(one),converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),converse(join(complement(one),converse(top)))) ),[0],$fot(join(converse(complement(one)),complement(composition(converse(zero),top))))]]) ).
cnf(refute_0_1279,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != converse(join(complement(one),converse(top)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) = converse(join(complement(one),converse(top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),join(converse(complement(one)),complement(composition(converse(zero),top)))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
join(converse(complement(one)),top) = join(top,converse(complement(one))),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1281,plain,
converse(join(complement(one),converse(top))) = join(converse(complement(one)),top),
inference(subst,[],[refute_0_670:[bind(A,$fot(top)),bind(X_6,$fot(complement(one)))]]) ).
cnf(refute_0_1282,plain,
( converse(join(complement(one),converse(top))) != join(converse(complement(one)),top)
| join(converse(complement(one)),top) != join(top,converse(complement(one)))
| converse(join(complement(one),converse(top))) = join(top,converse(complement(one))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(one),converse(top))))),bind(Y,$fot(join(converse(complement(one)),top))),bind(Z,$fot(join(top,converse(complement(one)))))]]) ).
cnf(refute_0_1283,plain,
( join(converse(complement(one)),top) != join(top,converse(complement(one)))
| converse(join(complement(one),converse(top))) = join(top,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(top))),join(converse(complement(one)),top)) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
converse(join(complement(one),converse(top))) = join(top,converse(complement(one))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),top),join(top,converse(complement(one)))) )],[refute_0_1280,refute_0_1283]) ).
cnf(refute_0_1285,plain,
( converse(join(complement(one),converse(top))) != join(top,converse(complement(one)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) != converse(join(complement(one),converse(top)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) = join(top,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(composition(converse(zero),top))),converse(join(complement(one),converse(top)))) ),[1],$fot(join(top,converse(complement(one))))]]) ).
cnf(refute_0_1286,plain,
( join(converse(complement(one)),complement(composition(converse(zero),top))) != converse(join(complement(one),converse(top)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) = join(top,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(top))),join(top,converse(complement(one)))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( converse(join(converse(complement(composition(converse(zero),top))),complement(one))) != converse(join(complement(one),converse(top)))
| join(converse(complement(one)),complement(composition(converse(zero),top))) = join(top,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(composition(converse(zero),top))),converse(join(complement(one),converse(top)))) )],[refute_0_1279,refute_0_1286]) ).
cnf(refute_0_1288,plain,
join(converse(complement(one)),complement(composition(converse(zero),top))) = join(top,converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(zero),top))),complement(one))),converse(join(complement(one),converse(top)))) )],[refute_0_1272,refute_0_1287]) ).
cnf(refute_0_1289,plain,
( converse(top) != join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(converse(complement(one)),complement(composition(converse(zero),top)))))))
| join(converse(complement(one)),complement(composition(converse(zero),top))) != join(top,converse(complement(one)))
| converse(top) = join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(converse(complement(one)),complement(composition(converse(zero),top)))))))) ),[1,1,0,1,0],$fot(join(top,converse(complement(one))))]]) ).
cnf(refute_0_1290,plain,
( converse(top) != join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(converse(complement(one)),complement(composition(converse(zero),top)))))))
| converse(top) = join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(composition(converse(zero),top))),join(top,converse(complement(one)))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
converse(top) = join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(converse(complement(one)),complement(composition(converse(zero),top)))))))) )],[refute_0_1243,refute_0_1290]) ).
cnf(refute_0_1292,plain,
( converse(top) != join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1293,plain,
join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(top)
| top != join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))))
| top = join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))))) ),[1,1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1295,plain,
( top != join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))))
| top = join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),converse(top)) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
top = join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))))) )],[refute_0_1242,refute_0_1295]) ).
cnf(refute_0_1297,plain,
join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(complement(one))),bind(X_36,$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),bind(X_37,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1298,plain,
( join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))) != join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| top != join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top))))
| top = join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top))))) ),[1],$fot(join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1299,plain,
( top != join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top))))
| top = join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top)))),join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
top = join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),complement(converse(top))))) )],[refute_0_1296,refute_0_1299]) ).
cnf(refute_0_1301,plain,
( top != join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))))]]) ).
cnf(refute_0_1302,plain,
join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
( join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != top
| join(one,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) != join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(one,top) = join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))),join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1304,plain,
( join(one,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) != join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(one,top) = join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),top) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
join(one,top) = join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))),join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) )],[refute_0_1241,refute_0_1304]) ).
cnf(refute_0_1306,plain,
join(one,join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(one)),bind(X_37,$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))]]) ).
cnf(refute_0_1307,plain,
( join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(top)
| join(one,join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(one,converse(top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1308,plain,
( join(one,join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(one,converse(top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),converse(top)) )],[refute_0_1293,refute_0_1307]) ).
cnf(refute_0_1309,plain,
join(one,converse(top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1306,refute_0_1308]) ).
cnf(refute_0_1310,plain,
converse(join(converse(one),X_7)) = join(one,converse(X_7)),
inference(subst,[],[refute_0_576:[bind(A,$fot(one))]]) ).
cnf(refute_0_1311,plain,
( converse(join(converse(one),X_7)) != join(one,converse(X_7))
| converse(one) != one
| converse(join(one,X_7)) = join(one,converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_7)),join(one,converse(X_7))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1312,plain,
( converse(join(converse(one),X_7)) != join(one,converse(X_7))
| converse(join(one,X_7)) = join(one,converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_161,refute_0_1311]) ).
cnf(refute_0_1313,plain,
converse(join(one,X_7)) = join(one,converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_7)),join(one,converse(X_7))) )],[refute_0_1310,refute_0_1312]) ).
cnf(refute_0_1314,plain,
( converse(join(one,X_7)) != join(one,converse(X_7))
| join(one,converse(X_7)) = converse(join(one,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_7)))),bind(Y,$fot(join(one,converse(X_7))))]]) ).
cnf(refute_0_1315,plain,
join(one,converse(X_7)) = converse(join(one,X_7)),
inference(resolve,[$cnf( $equal(converse(join(one,X_7)),join(one,converse(X_7))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1315:[bind(X_7,$fot(top))]]) ).
cnf(refute_0_1317,plain,
( join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| converse(join(one,top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(top)),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),[0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1318,plain,
( join(one,converse(top)) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| converse(join(one,top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
converse(join(one,top)) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1309,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( converse(join(one,top)) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(one,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1321,plain,
join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))]]) ).
cnf(refute_0_1323,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_1324,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1325,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1325]) ).
cnf(refute_0_1327,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1328,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_1328]) ).
cnf(refute_0_1330,plain,
join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))]]) ).
cnf(refute_0_1331,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1332,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))
| join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))),bind(Y,$fot(join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))),bind(Z,$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))]]) ).
cnf(refute_0_1335,plain,
( join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))
| join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) = converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) )],[refute_0_1322,refute_0_1335]) ).
cnf(refute_0_1337,plain,
join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1338,plain,
( join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) ),[1,1],$fot(converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))]]) ).
cnf(refute_0_1339,plain,
( join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) )],[refute_0_1336,refute_0_1339]) ).
cnf(refute_0_1341,plain,
( join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(one,top))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = converse(join(one,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))),bind(Y,$fot(join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))),bind(Z,$fot(converse(join(one,top))))]]) ).
cnf(refute_0_1342,plain,
( join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))) != converse(join(one,top))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))),converse(join(one,top))) )],[refute_0_1321,refute_0_1342]) ).
cnf(refute_0_1344,plain,
( join(one,top) != join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))) != converse(join(one,top))
| join(one,top) = converse(join(one,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,top),converse(join(one,top))) ),[0],$fot(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))))]]) ).
cnf(refute_0_1345,plain,
( join(one,top) != join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))
| join(one,top) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one)))))))),converse(join(one,top))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
join(one,top) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(join(one,top),join(top,join(complement(converse(top)),converse(join(complement(composition(converse(zero),top)),complement(join(top,converse(complement(one))))))))) )],[refute_0_1305,refute_0_1345]) ).
cnf(refute_0_1347,plain,
( join(one,top) != converse(join(one,top))
| converse(join(one,top)) = join(one,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,top))),bind(Y,$fot(converse(join(one,top))))]]) ).
cnf(refute_0_1348,plain,
converse(join(one,top)) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),converse(join(one,top))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
complement(converse(join(one,top))) = complement(converse(join(one,top))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,top))))]]) ).
cnf(refute_0_1350,plain,
( complement(converse(join(one,top))) != complement(converse(join(one,top)))
| converse(join(one,top)) != join(one,top)
| complement(converse(join(one,top))) = complement(join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,top))),complement(converse(join(one,top)))) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_1351,plain,
( converse(join(one,top)) != join(one,top)
| complement(converse(join(one,top))) = complement(join(one,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,top))),complement(converse(join(one,top)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
complement(converse(join(one,top))) = complement(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1348,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(sk1,complement(converse(join(one,top)))) = join(sk1,complement(converse(join(one,top)))),
introduced(tautology,[refl,[$fot(join(sk1,complement(converse(join(one,top)))))]]) ).
cnf(refute_0_1354,plain,
( complement(converse(join(one,top))) != complement(join(one,top))
| join(sk1,complement(converse(join(one,top)))) != join(sk1,complement(converse(join(one,top))))
| join(sk1,complement(converse(join(one,top)))) = join(sk1,complement(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(join(one,top)))),join(sk1,complement(converse(join(one,top))))) ),[1,1],$fot(complement(join(one,top)))]]) ).
cnf(refute_0_1355,plain,
( complement(converse(join(one,top))) != complement(join(one,top))
| join(sk1,complement(converse(join(one,top)))) = join(sk1,complement(join(one,top))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(join(one,top)))),join(sk1,complement(converse(join(one,top))))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
join(sk1,complement(converse(join(one,top)))) = join(sk1,complement(join(one,top))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,top))),complement(join(one,top))) )],[refute_0_1352,refute_0_1355]) ).
cnf(refute_0_1357,plain,
converse(join(sk1,complement(converse(join(one,top))))) = converse(join(sk1,complement(converse(join(one,top))))),
introduced(tautology,[refl,[$fot(converse(join(sk1,complement(converse(join(one,top))))))]]) ).
cnf(refute_0_1358,plain,
( converse(join(sk1,complement(converse(join(one,top))))) != converse(join(sk1,complement(converse(join(one,top)))))
| join(sk1,complement(converse(join(one,top)))) != join(sk1,complement(join(one,top)))
| converse(join(sk1,complement(converse(join(one,top))))) = converse(join(sk1,complement(join(one,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,complement(converse(join(one,top))))),converse(join(sk1,complement(converse(join(one,top)))))) ),[1,0],$fot(join(sk1,complement(join(one,top))))]]) ).
cnf(refute_0_1359,plain,
( join(sk1,complement(converse(join(one,top)))) != join(sk1,complement(join(one,top)))
| converse(join(sk1,complement(converse(join(one,top))))) = converse(join(sk1,complement(join(one,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(converse(join(one,top))))),converse(join(sk1,complement(converse(join(one,top)))))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
converse(join(sk1,complement(converse(join(one,top))))) = converse(join(sk1,complement(join(one,top)))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(join(one,top)))),join(sk1,complement(join(one,top)))) )],[refute_0_1356,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(converse(join(sk1,complement(converse(join(one,top))))),C) = join(converse(join(sk1,complement(converse(join(one,top))))),C),
introduced(tautology,[refl,[$fot(join(converse(join(sk1,complement(converse(join(one,top))))),C))]]) ).
cnf(refute_0_1362,plain,
( converse(join(sk1,complement(converse(join(one,top))))) != converse(join(sk1,complement(join(one,top))))
| join(converse(join(sk1,complement(converse(join(one,top))))),C) != join(converse(join(sk1,complement(converse(join(one,top))))),C)
| join(converse(join(sk1,complement(converse(join(one,top))))),C) = join(converse(join(sk1,complement(join(one,top)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(one,top))))),C),join(converse(join(sk1,complement(converse(join(one,top))))),C)) ),[1,0],$fot(converse(join(sk1,complement(join(one,top)))))]]) ).
cnf(refute_0_1363,plain,
( converse(join(sk1,complement(converse(join(one,top))))) != converse(join(sk1,complement(join(one,top))))
| join(converse(join(sk1,complement(converse(join(one,top))))),C) = join(converse(join(sk1,complement(join(one,top)))),C) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(one,top))))),C),join(converse(join(sk1,complement(converse(join(one,top))))),C)) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
join(converse(join(sk1,complement(converse(join(one,top))))),C) = join(converse(join(sk1,complement(join(one,top)))),C),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(converse(join(one,top))))),converse(join(sk1,complement(join(one,top))))) )],[refute_0_1360,refute_0_1363]) ).
cnf(refute_0_1365,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))]]) ).
cnf(refute_0_1366,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))
| join(converse(join(sk1,complement(converse(join(one,top))))),C) != join(converse(join(sk1,complement(join(one,top)))),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) ),[1,1],$fot(join(converse(join(sk1,complement(join(one,top)))),C))]]) ).
cnf(refute_0_1367,plain,
( join(converse(join(sk1,complement(converse(join(one,top))))),C) != join(converse(join(sk1,complement(join(one,top)))),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(converse(join(one,top))))),C),join(converse(join(sk1,complement(join(one,top)))),C)) )],[refute_0_1364,refute_0_1367]) ).
cnf(refute_0_1369,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),
introduced(tautology,[refl,[$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))))]]) ).
cnf(refute_0_1370,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))) ),[1,1],$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))]]) ).
cnf(refute_0_1371,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) )],[refute_0_1368,refute_0_1371]) ).
cnf(refute_0_1373,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(top,C)) ),[0],$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))))]]) ).
cnf(refute_0_1374,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,C),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(converse(join(one,top))))),C))),join(top,C)) )],[refute_0_1240,refute_0_1374]) ).
cnf(refute_0_1376,plain,
join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(join(top,join(complement(sk2),complement(converse(sk1)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_1377,plain,
( join(top,join(complement(sk2),complement(converse(sk1)))) != join(top,top)
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(join(top,join(complement(sk2),complement(converse(sk1)))),C)
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(join(top,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(join(top,join(complement(sk2),complement(converse(sk1)))),C)) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_1378,plain,
( join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(join(top,join(complement(sk2),complement(converse(sk1)))),C)
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(join(top,top),C) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),complement(converse(sk1)))),join(top,top)) )],[refute_0_429,refute_0_1377]) ).
cnf(refute_0_1379,plain,
join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(join(top,top),C),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(join(top,join(complement(sk2),complement(converse(sk1)))),C)) )],[refute_0_1376,refute_0_1378]) ).
cnf(refute_0_1380,plain,
join(top,join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))) = join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(join(complement(sk2),join(complement(converse(sk1)),X_45))))]]) ).
cnf(refute_0_1381,plain,
( join(top,join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))) != join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))
| join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))) != join(X_45,top)
| join(top,join(X_45,top)) = join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))),join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))) ),[0,1],$fot(join(X_45,top))]]) ).
cnf(refute_0_1382,plain,
( join(top,join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))) != join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))
| join(top,join(X_45,top)) = join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45))),join(X_45,top)) )],[refute_0_629,refute_0_1381]) ).
cnf(refute_0_1383,plain,
join(top,join(X_45,top)) = join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))),
inference(resolve,[$cnf( $equal(join(top,join(zero,join(complement(sk2),join(complement(converse(sk1)),X_45)))),join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))) )],[refute_0_1380,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( join(top,join(X_45,top)) != join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))
| join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))) = join(top,join(X_45,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,join(X_45,top)))),bind(Y,$fot(join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))))]]) ).
cnf(refute_0_1385,plain,
join(top,join(complement(sk2),join(complement(converse(sk1)),X_45))) = join(top,join(X_45,top)),
inference(resolve,[$cnf( $equal(join(top,join(X_45,top)),join(top,join(complement(sk2),join(complement(converse(sk1)),X_45)))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
join(top,join(complement(sk2),join(complement(converse(sk1)),C))) = join(top,join(C,top)),
inference(subst,[],[refute_0_1385:[bind(X_45,$fot(C))]]) ).
cnf(refute_0_1387,plain,
join(join(complement(sk2),complement(converse(sk1))),C) = join(complement(sk2),join(complement(converse(sk1)),C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(complement(sk2))),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_1388,plain,
join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(join(complement(sk2),complement(converse(sk1))),C)),
introduced(tautology,[refl,[$fot(join(top,join(join(complement(sk2),complement(converse(sk1))),C)))]]) ).
cnf(refute_0_1389,plain,
( join(join(complement(sk2),complement(converse(sk1))),C) != join(complement(sk2),join(complement(converse(sk1)),C))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(top,join(join(complement(sk2),complement(converse(sk1))),C))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(complement(sk2),join(complement(converse(sk1)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(top,join(join(complement(sk2),complement(converse(sk1))),C))) ),[1,1],$fot(join(complement(sk2),join(complement(converse(sk1)),C)))]]) ).
cnf(refute_0_1390,plain,
( join(join(complement(sk2),complement(converse(sk1))),C) != join(complement(sk2),join(complement(converse(sk1)),C))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(complement(sk2),join(complement(converse(sk1)),C))) ),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(top,join(join(complement(sk2),complement(converse(sk1))),C))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(complement(sk2),join(complement(converse(sk1)),C))),
inference(resolve,[$cnf( $equal(join(join(complement(sk2),complement(converse(sk1))),C),join(complement(sk2),join(complement(converse(sk1)),C))) )],[refute_0_1387,refute_0_1390]) ).
cnf(refute_0_1392,plain,
( join(top,join(complement(sk2),join(complement(converse(sk1)),C))) != join(top,join(C,top))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(top,join(complement(sk2),join(complement(converse(sk1)),C)))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(C,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(join(complement(sk2),complement(converse(sk1))),C)))),bind(Y,$fot(join(top,join(complement(sk2),join(complement(converse(sk1)),C))))),bind(Z,$fot(join(top,join(C,top))))]]) ).
cnf(refute_0_1393,plain,
( join(top,join(complement(sk2),join(complement(converse(sk1)),C))) != join(top,join(C,top))
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(C,top)) ),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(top,join(complement(sk2),join(complement(converse(sk1)),C)))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
join(top,join(join(complement(sk2),complement(converse(sk1))),C)) = join(top,join(C,top)),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),join(complement(converse(sk1)),C))),join(top,join(C,top))) )],[refute_0_1386,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(join(top,top),C)
| join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(top,join(C,top))
| join(top,join(C,top)) = join(join(top,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(join(top,top),C)) ),[0],$fot(join(top,join(C,top)))]]) ).
cnf(refute_0_1396,plain,
( join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(join(top,top),C)
| join(top,join(C,top)) = join(join(top,top),C) ),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(top,join(C,top))) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
join(join(top,top),C) = join(top,join(top,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(top)),bind(B,$fot(top))]]) ).
cnf(refute_0_1398,plain,
( join(join(top,top),C) != join(top,join(top,C))
| join(top,join(C,top)) != join(join(top,top),C)
| join(top,join(C,top)) = join(top,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(C,top)),join(join(top,top),C)) ),[1],$fot(join(top,join(top,C)))]]) ).
cnf(refute_0_1399,plain,
( join(top,join(C,top)) != join(join(top,top),C)
| join(top,join(C,top)) = join(top,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(top,top),C),join(top,join(top,C))) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
( join(top,join(join(complement(sk2),complement(converse(sk1))),C)) != join(join(top,top),C)
| join(top,join(C,top)) = join(top,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),join(join(top,top),C)) )],[refute_0_1396,refute_0_1399]) ).
cnf(refute_0_1401,plain,
join(top,join(C,top)) = join(top,join(top,C)),
inference(resolve,[$cnf( $equal(join(top,join(join(complement(sk2),complement(converse(sk1))),C)),join(join(top,top),C)) )],[refute_0_1379,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(top,join(top,C)) = join(join(top,top),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(top))]]) ).
cnf(refute_0_1403,plain,
( join(top,join(top,C)) != join(join(top,top),C)
| join(top,top) != join(one,top)
| join(top,join(top,C)) = join(join(one,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,C)),join(join(top,top),C)) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_1404,plain,
( join(top,join(top,C)) != join(join(top,top),C)
| join(top,join(top,C)) = join(join(one,top),C) ),
inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_924,refute_0_1403]) ).
cnf(refute_0_1405,plain,
join(top,join(top,C)) = join(join(one,top),C),
inference(resolve,[$cnf( $equal(join(top,join(top,C)),join(join(top,top),C)) )],[refute_0_1402,refute_0_1404]) ).
cnf(refute_0_1406,plain,
join(join(one,top),C) = join(one,join(top,C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(one)),bind(B,$fot(top))]]) ).
cnf(refute_0_1407,plain,
( join(join(one,top),C) != join(one,join(top,C))
| join(top,join(top,C)) != join(join(one,top),C)
| join(top,join(top,C)) = join(one,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,C)),join(join(one,top),C)) ),[1],$fot(join(one,join(top,C)))]]) ).
cnf(refute_0_1408,plain,
( join(top,join(top,C)) != join(join(one,top),C)
| join(top,join(top,C)) = join(one,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,top),C),join(one,join(top,C))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
join(top,join(top,C)) = join(one,join(top,C)),
inference(resolve,[$cnf( $equal(join(top,join(top,C)),join(join(one,top),C)) )],[refute_0_1405,refute_0_1408]) ).
cnf(refute_0_1410,plain,
( join(top,join(C,top)) != join(top,join(top,C))
| join(top,join(top,C)) != join(one,join(top,C))
| join(top,join(C,top)) = join(one,join(top,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,join(C,top)),join(one,join(top,C))) ),[0],$fot(join(top,join(top,C)))]]) ).
cnf(refute_0_1411,plain,
( join(top,join(C,top)) != join(top,join(top,C))
| join(top,join(C,top)) = join(one,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(top,C)),join(one,join(top,C))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(top,join(C,top)) = join(one,join(top,C)),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),join(top,join(top,C))) )],[refute_0_1401,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(X_41,join(complement(X_41),converse(complement(converse(complement(X_41)))))) = join(top,converse(complement(converse(complement(X_41))))),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(X_41)),bind(X_37,$fot(converse(complement(converse(complement(X_41))))))]]) ).
cnf(refute_0_1414,plain,
converse(top) = join(complement(X_41),converse(complement(converse(complement(X_41))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(complement(X_41)))]]) ).
cnf(refute_0_1415,plain,
( converse(top) != join(complement(X_41),converse(complement(converse(complement(X_41)))))
| join(complement(X_41),converse(complement(converse(complement(X_41))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_41),converse(complement(converse(complement(X_41)))))))]]) ).
cnf(refute_0_1416,plain,
join(complement(X_41),converse(complement(converse(complement(X_41))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_41),converse(complement(converse(complement(X_41)))))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( join(X_41,join(complement(X_41),converse(complement(converse(complement(X_41)))))) != join(top,converse(complement(converse(complement(X_41)))))
| join(complement(X_41),converse(complement(converse(complement(X_41))))) != converse(top)
| join(X_41,converse(top)) = join(top,converse(complement(converse(complement(X_41))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),converse(complement(converse(complement(X_41)))))),join(top,converse(complement(converse(complement(X_41)))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1418,plain,
( join(X_41,join(complement(X_41),converse(complement(converse(complement(X_41)))))) != join(top,converse(complement(converse(complement(X_41)))))
| join(X_41,converse(top)) = join(top,converse(complement(converse(complement(X_41))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),converse(complement(converse(complement(X_41))))),converse(top)) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(X_41,converse(top)) = join(top,converse(complement(converse(complement(X_41))))),
inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),converse(complement(converse(complement(X_41)))))),join(top,converse(complement(converse(complement(X_41)))))) )],[refute_0_1413,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(X_41,converse(top)) = join(X_41,converse(top)),
introduced(tautology,[refl,[$fot(join(X_41,converse(top)))]]) ).
cnf(refute_0_1421,plain,
( converse(top) != top
| join(X_41,converse(top)) != join(X_41,converse(top))
| join(X_41,converse(top)) = join(X_41,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,converse(top)),join(X_41,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1422,plain,
( converse(top) != top
| join(X_41,converse(top)) = join(X_41,top) ),
inference(resolve,[$cnf( $equal(join(X_41,converse(top)),join(X_41,converse(top))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
join(X_41,converse(top)) = join(X_41,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(X_41,converse(top)) != join(X_41,top)
| join(X_41,converse(top)) != join(top,converse(complement(converse(complement(X_41)))))
| join(X_41,top) = join(top,converse(complement(converse(complement(X_41))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,converse(top)),join(top,converse(complement(converse(complement(X_41)))))) ),[0],$fot(join(X_41,top))]]) ).
cnf(refute_0_1425,plain,
( join(X_41,converse(top)) != join(top,converse(complement(converse(complement(X_41)))))
| join(X_41,top) = join(top,converse(complement(converse(complement(X_41))))) ),
inference(resolve,[$cnf( $equal(join(X_41,converse(top)),join(X_41,top)) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(X_41,top) = join(top,converse(complement(converse(complement(X_41))))),
inference(resolve,[$cnf( $equal(join(X_41,converse(top)),join(top,converse(complement(converse(complement(X_41)))))) )],[refute_0_1419,refute_0_1425]) ).
cnf(refute_0_1427,plain,
converse(join(complement(converse(complement(X_41))),top)) = converse(join(top,complement(converse(complement(X_41))))),
inference(subst,[],[refute_0_1020:[bind(X_6,$fot(complement(converse(complement(X_41))))),bind(X_7,$fot(top))]]) ).
cnf(refute_0_1428,plain,
converse(join(X_6,converse(top))) = join(converse(X_6),top),
inference(subst,[],[refute_0_670:[bind(A,$fot(top))]]) ).
cnf(refute_0_1429,plain,
( converse(join(X_6,converse(top))) != join(converse(X_6),top)
| converse(top) != top
| converse(join(X_6,top)) = join(converse(X_6),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(top))),join(converse(X_6),top)) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1430,plain,
( converse(join(X_6,converse(top))) != join(converse(X_6),top)
| converse(join(X_6,top)) = join(converse(X_6),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1429]) ).
cnf(refute_0_1431,plain,
converse(join(X_6,top)) = join(converse(X_6),top),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(top))),join(converse(X_6),top)) )],[refute_0_1428,refute_0_1430]) ).
cnf(refute_0_1432,plain,
join(A,join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) = join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(complement(converse(zero)))),bind(C,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1433,plain,
converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(top)),bind(X_7,$fot(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))]]) ).
cnf(refute_0_1434,plain,
top = join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))]]) ).
cnf(refute_0_1435,plain,
converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero))))))),
inference(subst,[],[refute_0_979:[bind(X_33,$fot(complement(converse(zero)))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_1436,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(top)),bind(X_7,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1437,plain,
join(top,join(zero,converse(complement(converse(zero))))) = join(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_389:[bind(X_37,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1438,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_1439,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1440,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(top)
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1442,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( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
join(top,converse(top)) = join(top,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) )],[refute_0_1437,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(zero))))
| join(top,converse(complement(converse(zero)))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_1445,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(zero))))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| join(top,converse(complement(converse(zero)))) != join(top,converse(top))
| converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$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_1447,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( $equal(join(top,converse(complement(converse(zero)))),join(top,converse(top))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_1436,refute_0_1447]) ).
cnf(refute_0_1449,plain,
join(complement(converse(zero)),converse(top)) = join(converse(top),complement(converse(zero))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(top))),bind(B,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1450,plain,
converse(join(converse(complement(converse(zero))),top)) = join(complement(converse(zero)),converse(top)),
inference(subst,[],[refute_0_576:[bind(A,$fot(complement(converse(zero)))),bind(X_7,$fot(top))]]) ).
cnf(refute_0_1451,plain,
( converse(join(converse(complement(converse(zero))),top)) != join(complement(converse(zero)),converse(top))
| join(complement(converse(zero)),converse(top)) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(complement(converse(zero))),top)))),bind(Y,$fot(join(complement(converse(zero)),converse(top)))),bind(Z,$fot(join(converse(top),complement(converse(zero)))))]]) ).
cnf(refute_0_1452,plain,
( join(complement(converse(zero)),converse(top)) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),join(complement(converse(zero)),converse(top))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(top)),join(converse(top),complement(converse(zero)))) )],[refute_0_1449,refute_0_1452]) ).
cnf(refute_0_1454,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| converse(join(converse(complement(converse(zero))),top)) != join(converse(top),complement(converse(zero)))
| join(converse(top),complement(converse(zero))) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$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_1455,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( $equal(converse(join(converse(complement(converse(zero))),top)),join(converse(top),complement(converse(zero)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_523:[bind(X_35,$fot(converse(top)))]]) ).
cnf(refute_0_1457,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_670:[bind(A,$fot(top)),bind(X_6,$fot(top))]]) ).
cnf(refute_0_1458,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,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_1459,plain,
( join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
converse(join(top,converse(top))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_1456,refute_0_1459]) ).
cnf(refute_0_1461,plain,
( converse(join(top,converse(top))) != join(top,converse(top))
| join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) ),[1],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_1462,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( $equal(converse(join(top,converse(top))),join(top,converse(top))) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) )],[refute_0_1455,refute_0_1462]) ).
cnf(refute_0_1464,plain,
join(converse(top),complement(converse(zero))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) )],[refute_0_1448,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
| join(converse(top),complement(converse(zero))) != join(top,converse(top))
| converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) ),[1,1,0,1,0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_1466,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
| converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) )],[refute_0_1435,refute_0_1466]) ).
cnf(refute_0_1468,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))
| join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))]]) ).
cnf(refute_0_1469,plain,
join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
( join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) != converse(top)
| top != join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))
| top = join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))) ),[1,1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1471,plain,
( top != join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))
| top = join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),converse(top)) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
top = join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))),
inference(resolve,[$cnf( $equal(top,join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))) )],[refute_0_1434,refute_0_1471]) ).
cnf(refute_0_1473,plain,
join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))) = join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(top)),bind(X_36,$fot(converse(join(complement(converse(zero)),complement(join(top,converse(top))))))),bind(X_37,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1474,plain,
( join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))) != join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))
| top != join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top))))
| top = join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top))))) ),[1],$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))]]) ).
cnf(refute_0_1475,plain,
( top != join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top))))
| top = join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top)))),join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
top = join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))),
inference(resolve,[$cnf( $equal(top,join(top,join(converse(join(complement(converse(zero)),complement(join(top,converse(top))))),complement(converse(top))))) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( top != join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))]]) ).
cnf(refute_0_1478,plain,
join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))
| join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) != top
| converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1480,plain,
( converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))
| converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))),top) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))) )],[refute_0_1433,refute_0_1480]) ).
cnf(refute_0_1482,plain,
join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(complement(converse(zero)))),bind(X_36,$fot(converse(join(top,complement(converse(top)))))),bind(X_37,$fot(complement(join(top,converse(top)))))]]) ).
cnf(refute_0_1483,plain,
join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) = join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(complement(converse(zero)))),bind(X_36,$fot(converse(join(top,complement(converse(top)))))),bind(X_37,$fot(complement(join(top,converse(top)))))]]) ).
cnf(refute_0_1484,plain,
( join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) != join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top)))))
| join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))))),bind(Y,$fot(join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))))),bind(Z,$fot(join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1485,plain,
( join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))),join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top)))))) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),join(converse(join(top,complement(converse(top)))),complement(join(top,converse(top))))),join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1482,refute_0_1485]) ).
cnf(refute_0_1487,plain,
converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) = join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))),
inference(subst,[],[refute_0_677:[bind(A,$fot(join(complement(converse(zero)),complement(join(top,converse(top)))))),bind(X_35,$fot(top)),bind(X_36,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1488,plain,
( converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) != join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top)))))
| join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))),bind(Y,$fot(join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))))),bind(Z,$fot(join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1489,plain,
( join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))),join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top)))))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(converse(join(top,complement(converse(top)))),join(complement(converse(zero)),complement(join(top,converse(top))))),join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1486,refute_0_1489]) ).
cnf(refute_0_1491,plain,
( converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))
| converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)))),bind(Y,$fot(converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))))),bind(Z,$fot(join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1492,plain,
( converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top))))))))) )],[refute_0_1433,refute_0_1491]) ).
cnf(refute_0_1493,plain,
converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) = join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))),join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1490,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != converse(top)
| converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),converse(top)) ),[0],$fot(join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1495,plain,
( converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)) != converse(top)
| join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top)),converse(top)) )],[refute_0_1481,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( join(A,join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) != join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) != converse(top)
| join(A,converse(top)) = join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))),join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1498,plain,
( join(A,join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) != join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(A,converse(top)) = join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),converse(top)) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(A,converse(top)) = join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(A,join(complement(converse(zero)),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))),join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1432,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))) = join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))),
inference(subst,[],[refute_0_92:[bind(B,$fot(complement(converse(zero)))),bind(C,$fot(converse(join(top,complement(converse(top))))))]]) ).
cnf(refute_0_1501,plain,
join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1502,plain,
( join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) != join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))))
| join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))) != join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))
| join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))),join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))))) ),[1,1],$fot(join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1503,plain,
( join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))) != join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))
| join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))),join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))))) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) )],[refute_0_1500,refute_0_1503]) ).
cnf(refute_0_1505,plain,
join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(complement(join(top,converse(top))))),bind(X_36,$fot(join(A,complement(converse(zero))))),bind(X_37,$fot(converse(join(top,complement(converse(top))))))]]) ).
cnf(refute_0_1506,plain,
( join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) != join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))))
| join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))))),bind(Y,$fot(join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))))),bind(Z,$fot(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))))]]) ).
cnf(refute_0_1507,plain,
( join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top))))))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(join(A,complement(converse(zero))),converse(join(top,complement(converse(top)))))),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1504,refute_0_1507]) ).
cnf(refute_0_1509,plain,
( join(A,converse(top)) != join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(A,converse(top)) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,converse(top)),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) ),[0],$fot(join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1510,plain,
( join(A,converse(top)) != join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))
| join(A,converse(top)) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top)))))),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
join(A,converse(top)) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(A,converse(top)),join(join(A,complement(converse(zero))),join(complement(join(top,converse(top))),converse(join(top,complement(converse(top))))))) )],[refute_0_1499,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(A,converse(top)) = join(A,converse(top)),
introduced(tautology,[refl,[$fot(join(A,converse(top)))]]) ).
cnf(refute_0_1513,plain,
( converse(top) != top
| join(A,converse(top)) != join(A,converse(top))
| join(A,converse(top)) = join(A,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(top)),join(A,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1514,plain,
( converse(top) != top
| join(A,converse(top)) = join(A,top) ),
inference(resolve,[$cnf( $equal(join(A,converse(top)),join(A,converse(top))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(A,converse(top)) = join(A,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1514]) ).
cnf(refute_0_1516,plain,
( join(A,converse(top)) != join(A,top)
| join(A,converse(top)) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(A,top) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(top)),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) ),[0],$fot(join(A,top))]]) ).
cnf(refute_0_1517,plain,
( join(A,converse(top)) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(A,top) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(A,converse(top)),join(A,top)) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(join(A,join(X_40,complement(join(A,X_40)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(join(X_40,complement(join(A,X_40)))))]]) ).
cnf(refute_0_1519,plain,
top = join(A,join(X_40,complement(join(A,X_40)))),
inference(subst,[],[refute_0_377:[bind(X_35,$fot(A)),bind(X_36,$fot(X_40))]]) ).
cnf(refute_0_1520,plain,
( top != join(A,join(X_40,complement(join(A,X_40))))
| join(A,join(X_40,complement(join(A,X_40)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,join(X_40,complement(join(A,X_40))))))]]) ).
cnf(refute_0_1521,plain,
join(A,join(X_40,complement(join(A,X_40)))) = top,
inference(resolve,[$cnf( $equal(top,join(A,join(X_40,complement(join(A,X_40))))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( join(A,join(X_40,complement(join(A,X_40)))) != top
| join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(join(A,join(X_40,complement(join(A,X_40)))),C)
| join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(join(A,join(X_40,complement(join(A,X_40)))),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1523,plain,
( join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(join(A,join(X_40,complement(join(A,X_40)))),C)
| join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(X_40,complement(join(A,X_40)))),top) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(join(A,join(X_40,complement(join(A,X_40)))),C)) )],[refute_0_1518,refute_0_1523]) ).
cnf(refute_0_1525,plain,
join(join(X_40,complement(join(A,X_40))),C) = join(X_40,join(complement(join(A,X_40)),C)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_40)),bind(B,$fot(complement(join(A,X_40))))]]) ).
cnf(refute_0_1526,plain,
join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(A,join(join(X_40,complement(join(A,X_40))),C)),
introduced(tautology,[refl,[$fot(join(A,join(join(X_40,complement(join(A,X_40))),C)))]]) ).
cnf(refute_0_1527,plain,
( join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(A,join(join(X_40,complement(join(A,X_40))),C))
| join(join(X_40,complement(join(A,X_40))),C) != join(X_40,join(complement(join(A,X_40)),C))
| join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(A,join(X_40,join(complement(join(A,X_40)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(A,join(join(X_40,complement(join(A,X_40))),C))) ),[1,1],$fot(join(X_40,join(complement(join(A,X_40)),C)))]]) ).
cnf(refute_0_1528,plain,
( join(join(X_40,complement(join(A,X_40))),C) != join(X_40,join(complement(join(A,X_40)),C))
| join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(A,join(X_40,join(complement(join(A,X_40)),C))) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(A,join(join(X_40,complement(join(A,X_40))),C))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
join(A,join(join(X_40,complement(join(A,X_40))),C)) = join(A,join(X_40,join(complement(join(A,X_40)),C))),
inference(resolve,[$cnf( $equal(join(join(X_40,complement(join(A,X_40))),C),join(X_40,join(complement(join(A,X_40)),C))) )],[refute_0_1525,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(A,join(X_40,join(complement(join(A,X_40)),C)))
| join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(top,C)
| join(A,join(X_40,join(complement(join(A,X_40)),C))) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(top,C)) ),[0],$fot(join(A,join(X_40,join(complement(join(A,X_40)),C))))]]) ).
cnf(refute_0_1531,plain,
( join(A,join(join(X_40,complement(join(A,X_40))),C)) != join(top,C)
| join(A,join(X_40,join(complement(join(A,X_40)),C))) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(A,join(X_40,join(complement(join(A,X_40)),C)))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(A,join(X_40,join(complement(join(A,X_40)),C))) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(join(X_40,complement(join(A,X_40))),C)),join(top,C)) )],[refute_0_1524,refute_0_1531]) ).
cnf(refute_0_1533,plain,
join(one,join(top,join(complement(join(one,top)),A))) = join(top,A),
inference(subst,[],[refute_0_1532:[bind(A,$fot(one)),bind(C,$fot(A)),bind(X_40,$fot(top))]]) ).
cnf(refute_0_1534,plain,
join(top,join(top,join(complement(join(one,top)),A))) = join(one,join(top,join(complement(join(one,top)),A))),
inference(subst,[],[refute_0_1409:[bind(C,$fot(join(complement(join(one,top)),A)))]]) ).
cnf(refute_0_1535,plain,
( join(one,join(top,join(complement(join(one,top)),A))) != join(top,A)
| join(top,join(top,join(complement(join(one,top)),A))) != join(one,join(top,join(complement(join(one,top)),A)))
| join(top,join(top,join(complement(join(one,top)),A))) = join(top,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(top,join(complement(join(one,top)),A))))),bind(Y,$fot(join(one,join(top,join(complement(join(one,top)),A))))),bind(Z,$fot(join(top,A)))]]) ).
cnf(refute_0_1536,plain,
( join(one,join(top,join(complement(join(one,top)),A))) != join(top,A)
| join(top,join(top,join(complement(join(one,top)),A))) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(top,join(top,join(complement(join(one,top)),A))),join(one,join(top,join(complement(join(one,top)),A)))) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
join(top,join(top,join(complement(join(one,top)),A))) = join(top,A),
inference(resolve,[$cnf( $equal(join(one,join(top,join(complement(join(one,top)),A))),join(top,A)) )],[refute_0_1533,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(complement(join(one,top)),join(top,A)) = join(top,join(complement(join(one,top)),A)),
inference(subst,[],[refute_0_848:[bind(C,$fot(A)),bind(X_46,$fot(complement(join(one,top))))]]) ).
cnf(refute_0_1539,plain,
join(top,join(complement(join(one,top)),join(top,A))) = join(top,join(complement(join(one,top)),join(top,A))),
introduced(tautology,[refl,[$fot(join(top,join(complement(join(one,top)),join(top,A))))]]) ).
cnf(refute_0_1540,plain,
( join(complement(join(one,top)),join(top,A)) != join(top,join(complement(join(one,top)),A))
| join(top,join(complement(join(one,top)),join(top,A))) != join(top,join(complement(join(one,top)),join(top,A)))
| join(top,join(complement(join(one,top)),join(top,A))) = join(top,join(top,join(complement(join(one,top)),A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(join(one,top)),join(top,A))),join(top,join(complement(join(one,top)),join(top,A)))) ),[1,1],$fot(join(top,join(complement(join(one,top)),A)))]]) ).
cnf(refute_0_1541,plain,
( join(complement(join(one,top)),join(top,A)) != join(top,join(complement(join(one,top)),A))
| join(top,join(complement(join(one,top)),join(top,A))) = join(top,join(top,join(complement(join(one,top)),A))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),join(top,A))),join(top,join(complement(join(one,top)),join(top,A)))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
join(top,join(complement(join(one,top)),join(top,A))) = join(top,join(top,join(complement(join(one,top)),A))),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(top,A)),join(top,join(complement(join(one,top)),A))) )],[refute_0_1538,refute_0_1541]) ).
cnf(refute_0_1543,plain,
( join(top,join(complement(join(one,top)),join(top,A))) != join(top,join(top,join(complement(join(one,top)),A)))
| join(top,join(top,join(complement(join(one,top)),A))) != join(top,A)
| join(top,join(complement(join(one,top)),join(top,A))) = join(top,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(join(one,top)),join(top,A))))),bind(Y,$fot(join(top,join(top,join(complement(join(one,top)),A))))),bind(Z,$fot(join(top,A)))]]) ).
cnf(refute_0_1544,plain,
( join(top,join(top,join(complement(join(one,top)),A))) != join(top,A)
| join(top,join(complement(join(one,top)),join(top,A))) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),join(top,A))),join(top,join(top,join(complement(join(one,top)),A)))) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
join(top,join(complement(join(one,top)),join(top,A))) = join(top,A),
inference(resolve,[$cnf( $equal(join(top,join(top,join(complement(join(one,top)),A))),join(top,A)) )],[refute_0_1537,refute_0_1544]) ).
cnf(refute_0_1546,plain,
join(A,join(top,join(X_67,top))) = join(join(A,top),join(X_67,top)),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(top)),bind(C,$fot(join(X_67,top)))]]) ).
cnf(refute_0_1547,plain,
join(A,join(top,join(complement(sk2),complement(converse(sk1))))) = join(join(A,top),join(complement(sk2),complement(converse(sk1)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(top)),bind(C,$fot(join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_1548,plain,
( join(A,join(top,join(complement(sk2),complement(converse(sk1))))) != join(join(A,top),join(complement(sk2),complement(converse(sk1))))
| join(top,join(complement(sk2),complement(converse(sk1)))) != join(top,top)
| join(A,join(top,top)) = join(join(A,top),join(complement(sk2),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(top,join(complement(sk2),complement(converse(sk1))))),join(join(A,top),join(complement(sk2),complement(converse(sk1))))) ),[0,1],$fot(join(top,top))]]) ).
cnf(refute_0_1549,plain,
( join(A,join(top,join(complement(sk2),complement(converse(sk1))))) != join(join(A,top),join(complement(sk2),complement(converse(sk1))))
| join(A,join(top,top)) = join(join(A,top),join(complement(sk2),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),complement(converse(sk1)))),join(top,top)) )],[refute_0_429,refute_0_1548]) ).
cnf(refute_0_1550,plain,
join(A,join(top,top)) = join(join(A,top),join(complement(sk2),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(A,join(top,join(complement(sk2),complement(converse(sk1))))),join(join(A,top),join(complement(sk2),complement(converse(sk1))))) )],[refute_0_1547,refute_0_1549]) ).
cnf(refute_0_1551,plain,
join(top,join(complement(sk2),join(complement(converse(sk1)),A))) = join(top,join(A,top)),
inference(subst,[],[refute_0_1385:[bind(X_45,$fot(A))]]) ).
cnf(refute_0_1552,plain,
join(complement(sk2),join(top,join(complement(converse(sk1)),A))) = join(top,join(complement(sk2),join(complement(converse(sk1)),A))),
inference(subst,[],[refute_0_662:[bind(C,$fot(join(complement(converse(sk1)),A))),bind(X_45,$fot(complement(sk2)))]]) ).
cnf(refute_0_1553,plain,
( join(complement(sk2),join(top,join(complement(converse(sk1)),A))) != join(top,join(complement(sk2),join(complement(converse(sk1)),A)))
| join(top,join(complement(sk2),join(complement(converse(sk1)),A))) != join(top,join(A,top))
| join(complement(sk2),join(top,join(complement(converse(sk1)),A))) = join(top,join(A,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk2),join(top,join(complement(converse(sk1)),A))))),bind(Y,$fot(join(top,join(complement(sk2),join(complement(converse(sk1)),A))))),bind(Z,$fot(join(top,join(A,top))))]]) ).
cnf(refute_0_1554,plain,
( join(top,join(complement(sk2),join(complement(converse(sk1)),A))) != join(top,join(A,top))
| join(complement(sk2),join(top,join(complement(converse(sk1)),A))) = join(top,join(A,top)) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(top,join(complement(converse(sk1)),A))),join(top,join(complement(sk2),join(complement(converse(sk1)),A)))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(complement(sk2),join(top,join(complement(converse(sk1)),A))) = join(top,join(A,top)),
inference(resolve,[$cnf( $equal(join(top,join(complement(sk2),join(complement(converse(sk1)),A))),join(top,join(A,top))) )],[refute_0_1551,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(complement(converse(sk1)),join(A,top)) = join(top,join(complement(converse(sk1)),A)),
inference(subst,[],[refute_0_561:[bind(A,$fot(complement(converse(sk1)))),bind(B,$fot(A))]]) ).
cnf(refute_0_1557,plain,
join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(complement(sk2),join(complement(converse(sk1)),join(A,top))),
introduced(tautology,[refl,[$fot(join(complement(sk2),join(complement(converse(sk1)),join(A,top))))]]) ).
cnf(refute_0_1558,plain,
( join(complement(converse(sk1)),join(A,top)) != join(top,join(complement(converse(sk1)),A))
| join(complement(sk2),join(complement(converse(sk1)),join(A,top))) != join(complement(sk2),join(complement(converse(sk1)),join(A,top)))
| join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(complement(sk2),join(top,join(complement(converse(sk1)),A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),join(A,top))),join(complement(sk2),join(complement(converse(sk1)),join(A,top)))) ),[1,1],$fot(join(top,join(complement(converse(sk1)),A)))]]) ).
cnf(refute_0_1559,plain,
( join(complement(converse(sk1)),join(A,top)) != join(top,join(complement(converse(sk1)),A))
| join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(complement(sk2),join(top,join(complement(converse(sk1)),A))) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),join(A,top))),join(complement(sk2),join(complement(converse(sk1)),join(A,top)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(complement(sk2),join(top,join(complement(converse(sk1)),A))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(A,top)),join(top,join(complement(converse(sk1)),A))) )],[refute_0_1556,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( join(complement(sk2),join(complement(converse(sk1)),join(A,top))) != join(complement(sk2),join(top,join(complement(converse(sk1)),A)))
| join(complement(sk2),join(top,join(complement(converse(sk1)),A))) != join(top,join(A,top))
| join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(top,join(A,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk2),join(complement(converse(sk1)),join(A,top))))),bind(Y,$fot(join(complement(sk2),join(top,join(complement(converse(sk1)),A))))),bind(Z,$fot(join(top,join(A,top))))]]) ).
cnf(refute_0_1562,plain,
( join(complement(sk2),join(top,join(complement(converse(sk1)),A))) != join(top,join(A,top))
| join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(top,join(A,top)) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),join(A,top))),join(complement(sk2),join(top,join(complement(converse(sk1)),A)))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
join(complement(sk2),join(complement(converse(sk1)),join(A,top))) = join(top,join(A,top)),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(top,join(complement(converse(sk1)),A))),join(top,join(A,top))) )],[refute_0_1555,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(complement(sk2),join(join(A,top),complement(converse(sk1)))) = join(complement(sk2),join(complement(converse(sk1)),join(A,top))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(complement(sk2))),bind(X_36,$fot(join(A,top))),bind(X_37,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_1565,plain,
join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(complement(sk2),join(join(A,top),complement(converse(sk1)))),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(complement(sk2))),bind(X_36,$fot(join(A,top))),bind(X_37,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_1566,plain,
( join(complement(sk2),join(join(A,top),complement(converse(sk1)))) != join(complement(sk2),join(complement(converse(sk1)),join(A,top)))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) != join(complement(sk2),join(join(A,top),complement(converse(sk1))))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(complement(sk2),join(complement(converse(sk1)),join(A,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(A,top),join(complement(sk2),complement(converse(sk1)))))),bind(Y,$fot(join(complement(sk2),join(join(A,top),complement(converse(sk1)))))),bind(Z,$fot(join(complement(sk2),join(complement(converse(sk1)),join(A,top)))))]]) ).
cnf(refute_0_1567,plain,
( join(complement(sk2),join(join(A,top),complement(converse(sk1)))) != join(complement(sk2),join(complement(converse(sk1)),join(A,top)))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(complement(sk2),join(complement(converse(sk1)),join(A,top))) ),
inference(resolve,[$cnf( $equal(join(join(A,top),join(complement(sk2),complement(converse(sk1)))),join(complement(sk2),join(join(A,top),complement(converse(sk1))))) )],[refute_0_1565,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(complement(sk2),join(complement(converse(sk1)),join(A,top))),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(join(A,top),complement(converse(sk1)))),join(complement(sk2),join(complement(converse(sk1)),join(A,top)))) )],[refute_0_1564,refute_0_1567]) ).
cnf(refute_0_1569,plain,
( join(complement(sk2),join(complement(converse(sk1)),join(A,top))) != join(top,join(A,top))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) != join(complement(sk2),join(complement(converse(sk1)),join(A,top)))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(top,join(A,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(A,top),join(complement(sk2),complement(converse(sk1)))))),bind(Y,$fot(join(complement(sk2),join(complement(converse(sk1)),join(A,top))))),bind(Z,$fot(join(top,join(A,top))))]]) ).
cnf(refute_0_1570,plain,
( join(complement(sk2),join(complement(converse(sk1)),join(A,top))) != join(top,join(A,top))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(top,join(A,top)) ),
inference(resolve,[$cnf( $equal(join(join(A,top),join(complement(sk2),complement(converse(sk1)))),join(complement(sk2),join(complement(converse(sk1)),join(A,top)))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(join(A,top),join(complement(sk2),complement(converse(sk1)))) = join(top,join(A,top)),
inference(resolve,[$cnf( $equal(join(complement(sk2),join(complement(converse(sk1)),join(A,top))),join(top,join(A,top))) )],[refute_0_1563,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( join(A,join(top,top)) != join(join(A,top),join(complement(sk2),complement(converse(sk1))))
| join(join(A,top),join(complement(sk2),complement(converse(sk1)))) != join(top,join(A,top))
| join(A,join(top,top)) = join(top,join(A,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(top,top)),join(top,join(A,top))) ),[0],$fot(join(join(A,top),join(complement(sk2),complement(converse(sk1)))))]]) ).
cnf(refute_0_1573,plain,
( join(A,join(top,top)) != join(join(A,top),join(complement(sk2),complement(converse(sk1))))
| join(A,join(top,top)) = join(top,join(A,top)) ),
inference(resolve,[$cnf( $equal(join(join(A,top),join(complement(sk2),complement(converse(sk1)))),join(top,join(A,top))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(A,join(top,top)) = join(top,join(A,top)),
inference(resolve,[$cnf( $equal(join(A,join(top,top)),join(join(A,top),join(complement(sk2),complement(converse(sk1))))) )],[refute_0_1550,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(X_67,join(top,top)) = join(top,join(X_67,top)),
inference(subst,[],[refute_0_1574:[bind(A,$fot(X_67))]]) ).
cnf(refute_0_1576,plain,
( join(X_67,join(top,top)) != join(top,join(X_67,top))
| join(top,join(X_67,top)) = join(X_67,join(top,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_67,join(top,top)))),bind(Y,$fot(join(top,join(X_67,top))))]]) ).
cnf(refute_0_1577,plain,
join(top,join(X_67,top)) = join(X_67,join(top,top)),
inference(resolve,[$cnf( $equal(join(X_67,join(top,top)),join(top,join(X_67,top))) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
( join(A,join(top,join(X_67,top))) != join(join(A,top),join(X_67,top))
| join(top,join(X_67,top)) != join(X_67,join(top,top))
| join(A,join(X_67,join(top,top))) = join(join(A,top),join(X_67,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(top,join(X_67,top))),join(join(A,top),join(X_67,top))) ),[0,1],$fot(join(X_67,join(top,top)))]]) ).
cnf(refute_0_1579,plain,
( join(A,join(top,join(X_67,top))) != join(join(A,top),join(X_67,top))
| join(A,join(X_67,join(top,top))) = join(join(A,top),join(X_67,top)) ),
inference(resolve,[$cnf( $equal(join(top,join(X_67,top)),join(X_67,join(top,top))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
join(A,join(X_67,join(top,top))) = join(join(A,top),join(X_67,top)),
inference(resolve,[$cnf( $equal(join(A,join(top,join(X_67,top))),join(join(A,top),join(X_67,top))) )],[refute_0_1546,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(join(A,top),X_67) = join(A,join(top,X_67)),
inference(subst,[],[refute_0_92:[bind(B,$fot(top)),bind(C,$fot(X_67))]]) ).
cnf(refute_0_1582,plain,
join(top,join(join(A,top),X_67)) = join(top,join(join(A,top),X_67)),
introduced(tautology,[refl,[$fot(join(top,join(join(A,top),X_67)))]]) ).
cnf(refute_0_1583,plain,
( join(join(A,top),X_67) != join(A,join(top,X_67))
| join(top,join(join(A,top),X_67)) != join(top,join(join(A,top),X_67))
| join(top,join(join(A,top),X_67)) = join(top,join(A,join(top,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(A,top),X_67)),join(top,join(join(A,top),X_67))) ),[1,1],$fot(join(A,join(top,X_67)))]]) ).
cnf(refute_0_1584,plain,
( join(join(A,top),X_67) != join(A,join(top,X_67))
| join(top,join(join(A,top),X_67)) = join(top,join(A,join(top,X_67))) ),
inference(resolve,[$cnf( $equal(join(top,join(join(A,top),X_67)),join(top,join(join(A,top),X_67))) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(top,join(join(A,top),X_67)) = join(top,join(A,join(top,X_67))),
inference(resolve,[$cnf( $equal(join(join(A,top),X_67),join(A,join(top,X_67))) )],[refute_0_1581,refute_0_1584]) ).
cnf(refute_0_1586,plain,
join(join(A,top),join(X_67,top)) = join(top,join(join(A,top),X_67)),
inference(subst,[],[refute_0_561:[bind(A,$fot(join(A,top))),bind(B,$fot(X_67))]]) ).
cnf(refute_0_1587,plain,
( join(join(A,top),join(X_67,top)) != join(top,join(join(A,top),X_67))
| join(top,join(join(A,top),X_67)) != join(top,join(A,join(top,X_67)))
| join(join(A,top),join(X_67,top)) = join(top,join(A,join(top,X_67))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(A,top),join(X_67,top)))),bind(Y,$fot(join(top,join(join(A,top),X_67)))),bind(Z,$fot(join(top,join(A,join(top,X_67)))))]]) ).
cnf(refute_0_1588,plain,
( join(top,join(join(A,top),X_67)) != join(top,join(A,join(top,X_67)))
| join(join(A,top),join(X_67,top)) = join(top,join(A,join(top,X_67))) ),
inference(resolve,[$cnf( $equal(join(join(A,top),join(X_67,top)),join(top,join(join(A,top),X_67))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
join(join(A,top),join(X_67,top)) = join(top,join(A,join(top,X_67))),
inference(resolve,[$cnf( $equal(join(top,join(join(A,top),X_67)),join(top,join(A,join(top,X_67)))) )],[refute_0_1585,refute_0_1588]) ).
cnf(refute_0_1590,plain,
( join(A,join(X_67,join(top,top))) != join(join(A,top),join(X_67,top))
| join(join(A,top),join(X_67,top)) != join(top,join(A,join(top,X_67)))
| join(A,join(X_67,join(top,top))) = join(top,join(A,join(top,X_67))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_67,join(top,top))),join(top,join(A,join(top,X_67)))) ),[0],$fot(join(join(A,top),join(X_67,top)))]]) ).
cnf(refute_0_1591,plain,
( join(A,join(X_67,join(top,top))) != join(join(A,top),join(X_67,top))
| join(A,join(X_67,join(top,top))) = join(top,join(A,join(top,X_67))) ),
inference(resolve,[$cnf( $equal(join(join(A,top),join(X_67,top)),join(top,join(A,join(top,X_67)))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
join(A,join(X_67,join(top,top))) = join(top,join(A,join(top,X_67))),
inference(resolve,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(join(A,top),join(X_67,top))) )],[refute_0_1580,refute_0_1591]) ).
cnf(refute_0_1593,plain,
join(X_67,join(top,top)) = join(X_67,join(top,top)),
introduced(tautology,[refl,[$fot(join(X_67,join(top,top)))]]) ).
cnf(refute_0_1594,plain,
( join(X_67,join(top,top)) != join(X_67,join(top,top))
| join(top,top) != join(one,top)
| join(X_67,join(top,top)) = join(X_67,join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_67,join(top,top)),join(X_67,join(top,top))) ),[1,1],$fot(join(one,top))]]) ).
cnf(refute_0_1595,plain,
( join(top,top) != join(one,top)
| join(X_67,join(top,top)) = join(X_67,join(one,top)) ),
inference(resolve,[$cnf( $equal(join(X_67,join(top,top)),join(X_67,join(top,top))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
join(X_67,join(top,top)) = join(X_67,join(one,top)),
inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_924,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(A,join(X_67,join(top,top))) = join(A,join(X_67,join(top,top))),
introduced(tautology,[refl,[$fot(join(A,join(X_67,join(top,top))))]]) ).
cnf(refute_0_1598,plain,
( join(A,join(X_67,join(top,top))) != join(A,join(X_67,join(top,top)))
| join(X_67,join(top,top)) != join(X_67,join(one,top))
| join(A,join(X_67,join(top,top))) = join(A,join(X_67,join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(A,join(X_67,join(top,top)))) ),[1,1],$fot(join(X_67,join(one,top)))]]) ).
cnf(refute_0_1599,plain,
( join(X_67,join(top,top)) != join(X_67,join(one,top))
| join(A,join(X_67,join(top,top))) = join(A,join(X_67,join(one,top))) ),
inference(resolve,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(A,join(X_67,join(top,top)))) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
join(A,join(X_67,join(top,top))) = join(A,join(X_67,join(one,top))),
inference(resolve,[$cnf( $equal(join(X_67,join(top,top)),join(X_67,join(one,top))) )],[refute_0_1596,refute_0_1599]) ).
cnf(refute_0_1601,plain,
( join(A,join(X_67,join(top,top))) != join(A,join(X_67,join(one,top)))
| join(A,join(X_67,join(top,top))) != join(top,join(A,join(top,X_67)))
| join(A,join(X_67,join(one,top))) = join(top,join(A,join(top,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(top,join(A,join(top,X_67)))) ),[0],$fot(join(A,join(X_67,join(one,top))))]]) ).
cnf(refute_0_1602,plain,
( join(A,join(X_67,join(top,top))) != join(top,join(A,join(top,X_67)))
| join(A,join(X_67,join(one,top))) = join(top,join(A,join(top,X_67))) ),
inference(resolve,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(A,join(X_67,join(one,top)))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
join(A,join(X_67,join(one,top))) = join(top,join(A,join(top,X_67))),
inference(resolve,[$cnf( $equal(join(A,join(X_67,join(top,top))),join(top,join(A,join(top,X_67)))) )],[refute_0_1592,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(complement(join(one,top)),join(A,join(one,top))) = join(top,join(complement(join(one,top)),join(top,A))),
inference(subst,[],[refute_0_1603:[bind(A,$fot(complement(join(one,top)))),bind(X_67,$fot(A))]]) ).
cnf(refute_0_1605,plain,
( join(complement(join(one,top)),join(A,join(one,top))) != join(top,join(complement(join(one,top)),join(top,A)))
| join(top,join(complement(join(one,top)),join(top,A))) != join(top,A)
| join(complement(join(one,top)),join(A,join(one,top))) = join(top,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(one,top)),join(A,join(one,top))))),bind(Y,$fot(join(top,join(complement(join(one,top)),join(top,A))))),bind(Z,$fot(join(top,A)))]]) ).
cnf(refute_0_1606,plain,
( join(top,join(complement(join(one,top)),join(top,A))) != join(top,A)
| join(complement(join(one,top)),join(A,join(one,top))) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(A,join(one,top))),join(top,join(complement(join(one,top)),join(top,A)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
join(complement(join(one,top)),join(A,join(one,top))) = join(top,A),
inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),join(top,A))),join(top,A)) )],[refute_0_1545,refute_0_1606]) ).
cnf(refute_0_1608,plain,
join(converse(top),complement(converse(zero))) = join(converse(top),complement(converse(zero))),
introduced(tautology,[refl,[$fot(join(converse(top),complement(converse(zero))))]]) ).
cnf(refute_0_1609,plain,
( converse(top) != top
| join(converse(top),complement(converse(zero))) != join(converse(top),complement(converse(zero)))
| join(converse(top),complement(converse(zero))) = join(top,complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(converse(top),complement(converse(zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1610,plain,
( converse(top) != top
| join(converse(top),complement(converse(zero))) = join(top,complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(converse(top),complement(converse(zero)))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
join(converse(top),complement(converse(zero))) = join(top,complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( join(converse(top),complement(converse(zero))) != join(top,complement(converse(zero)))
| join(converse(top),complement(converse(zero))) != join(top,converse(top))
| join(top,complement(converse(zero))) = join(top,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) ),[0],$fot(join(top,complement(converse(zero))))]]) ).
cnf(refute_0_1613,plain,
( join(converse(top),complement(converse(zero))) != join(top,converse(top))
| join(top,complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,complement(converse(zero)))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(top,converse(top)) = join(top,converse(top)),
introduced(tautology,[refl,[$fot(join(top,converse(top)))]]) ).
cnf(refute_0_1615,plain,
( converse(top) != top
| join(top,converse(top)) != join(top,converse(top))
| join(top,converse(top)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(top)),join(top,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1616,plain,
( converse(top) != top
| join(top,converse(top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(top))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
join(top,converse(top)) = join(top,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1616]) ).
cnf(refute_0_1618,plain,
( join(top,converse(top)) != join(top,top)
| join(top,top) != join(one,top)
| join(top,converse(top)) = join(one,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,top))),bind(Z,$fot(join(one,top)))]]) ).
cnf(refute_0_1619,plain,
( join(top,top) != join(one,top)
| join(top,converse(top)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,top)) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
join(top,converse(top)) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_924,refute_0_1619]) ).
cnf(refute_0_1621,plain,
( join(top,complement(converse(zero))) != join(top,converse(top))
| join(top,converse(top)) != join(one,top)
| join(top,complement(converse(zero))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(converse(zero))),join(one,top)) ),[0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_1622,plain,
( join(top,complement(converse(zero))) != join(top,converse(top))
| join(top,complement(converse(zero))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(one,top)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
( join(converse(top),complement(converse(zero))) != join(top,converse(top))
| join(top,complement(converse(zero))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(zero))),join(top,converse(top))) )],[refute_0_1613,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(top,complement(converse(zero))) = join(one,top),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) )],[refute_0_1464,refute_0_1623]) ).
cnf(refute_0_1625,plain,
join(complement(converse(zero)),top) = join(top,complement(converse(zero))),
inference(subst,[],[refute_0_888:[bind(X_46,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1626,plain,
( join(complement(converse(zero)),top) != join(top,complement(converse(zero)))
| join(top,complement(converse(zero))) != join(one,top)
| join(complement(converse(zero)),top) = join(one,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(zero)),top))),bind(Y,$fot(join(top,complement(converse(zero))))),bind(Z,$fot(join(one,top)))]]) ).
cnf(refute_0_1627,plain,
( join(top,complement(converse(zero))) != join(one,top)
| join(complement(converse(zero)),top) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),top),join(top,complement(converse(zero)))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
join(complement(converse(zero)),top) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,complement(converse(zero))),join(one,top)) )],[refute_0_1624,refute_0_1627]) ).
cnf(refute_0_1629,plain,
join(top,complement(converse(top))) = join(top,complement(converse(top))),
introduced(tautology,[refl,[$fot(join(top,complement(converse(top))))]]) ).
cnf(refute_0_1630,plain,
( complement(converse(top)) != zero
| join(top,complement(converse(top))) != join(top,complement(converse(top)))
| join(top,complement(converse(top))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(converse(top))),join(top,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1631,plain,
( complement(converse(top)) != zero
| join(top,complement(converse(top))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(top))),join(top,complement(converse(top)))) )],[refute_0_1629,refute_0_1630]) ).
cnf(refute_0_1632,plain,
join(top,complement(converse(top))) = join(top,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1329,refute_0_1631]) ).
cnf(refute_0_1633,plain,
( join(top,complement(converse(top))) != join(top,zero)
| join(top,zero) != top
| join(top,complement(converse(top))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,complement(converse(top))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1634,plain,
( join(top,zero) != top
| join(top,complement(converse(top))) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(top))),join(top,zero)) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(top,complement(converse(top))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_386,refute_0_1634]) ).
cnf(refute_0_1636,plain,
converse(join(top,complement(converse(top)))) = converse(join(top,complement(converse(top)))),
introduced(tautology,[refl,[$fot(converse(join(top,complement(converse(top)))))]]) ).
cnf(refute_0_1637,plain,
( converse(join(top,complement(converse(top)))) != converse(join(top,complement(converse(top))))
| join(top,complement(converse(top))) != top
| converse(join(top,complement(converse(top)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(converse(top)))),converse(join(top,complement(converse(top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1638,plain,
( join(top,complement(converse(top))) != top
| converse(join(top,complement(converse(top)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(top)))),converse(join(top,complement(converse(top))))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
converse(join(top,complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(join(top,complement(converse(top))),top) )],[refute_0_1635,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( converse(join(top,complement(converse(top)))) != converse(top)
| converse(top) != top
| converse(join(top,complement(converse(top)))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(top,complement(converse(top)))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1641,plain,
( converse(top) != top
| converse(join(top,complement(converse(top)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(top)))),converse(top)) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
converse(join(top,complement(converse(top)))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1641]) ).
cnf(refute_0_1643,plain,
join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(complement(converse(zero)),converse(join(top,complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(join(top,complement(converse(top))))))]]) ).
cnf(refute_0_1644,plain,
( converse(join(top,complement(converse(top)))) != top
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) != join(complement(converse(zero)),converse(join(top,complement(converse(top)))))
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(complement(converse(zero)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(join(top,complement(converse(top))))),join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1645,plain,
( converse(join(top,complement(converse(top)))) != top
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(complement(converse(zero)),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(join(top,complement(converse(top))))),join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(complement(converse(zero)),top),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(top)))),top) )],[refute_0_1642,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( join(complement(converse(zero)),converse(join(top,complement(converse(top))))) != join(complement(converse(zero)),top)
| join(complement(converse(zero)),top) != join(one,top)
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(one,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),bind(Y,$fot(join(complement(converse(zero)),top))),bind(Z,$fot(join(one,top)))]]) ).
cnf(refute_0_1648,plain,
( join(complement(converse(zero)),top) != join(one,top)
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(join(top,complement(converse(top))))),join(complement(converse(zero)),top)) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(complement(converse(zero)),converse(join(top,complement(converse(top))))) = join(one,top),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),top),join(one,top)) )],[refute_0_1628,refute_0_1648]) ).
cnf(refute_0_1650,plain,
join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) = join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))]]) ).
cnf(refute_0_1651,plain,
( join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) != join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))
| join(complement(converse(zero)),converse(join(top,complement(converse(top))))) != join(one,top)
| join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) = join(A,join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),[1,1],$fot(join(one,top))]]) ).
cnf(refute_0_1652,plain,
( join(complement(converse(zero)),converse(join(top,complement(converse(top))))) != join(one,top)
| join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) = join(A,join(one,top)) ),
inference(resolve,[$cnf( $equal(join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) = join(A,join(one,top)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(join(top,complement(converse(top))))),join(one,top)) )],[refute_0_1649,refute_0_1652]) ).
cnf(refute_0_1654,plain,
join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1655,plain,
( join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) != join(A,join(one,top))
| join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) ),[1,1],$fot(join(A,join(one,top)))]]) ).
cnf(refute_0_1656,plain,
( join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))) != join(A,join(one,top))
| join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))),
inference(resolve,[$cnf( $equal(join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))),join(A,join(one,top))) )],[refute_0_1653,refute_0_1656]) ).
cnf(refute_0_1658,plain,
complement(join(top,converse(top))) = complement(join(top,converse(top))),
introduced(tautology,[refl,[$fot(complement(join(top,converse(top))))]]) ).
cnf(refute_0_1659,plain,
( complement(join(top,converse(top))) != complement(join(top,converse(top)))
| join(top,converse(top)) != join(one,top)
| complement(join(top,converse(top))) = complement(join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,converse(top))),complement(join(top,converse(top)))) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_1660,plain,
( join(top,converse(top)) != join(one,top)
| complement(join(top,converse(top))) = complement(join(one,top)) ),
inference(resolve,[$cnf( $equal(complement(join(top,converse(top))),complement(join(top,converse(top)))) )],[refute_0_1658,refute_0_1659]) ).
cnf(refute_0_1661,plain,
complement(join(top,converse(top))) = complement(join(one,top)),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(one,top)) )],[refute_0_1620,refute_0_1660]) ).
cnf(refute_0_1662,plain,
join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
introduced(tautology,[refl,[$fot(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1663,plain,
( complement(join(top,converse(top))) != complement(join(one,top))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) ),[1,0],$fot(complement(join(one,top)))]]) ).
cnf(refute_0_1664,plain,
( complement(join(top,converse(top))) != complement(join(one,top))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(complement(join(top,converse(top))),complement(join(one,top))) )],[refute_0_1661,refute_0_1664]) ).
cnf(refute_0_1666,plain,
( join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(one,top)),join(A,join(one,top)))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))),bind(Y,$fot(join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))),bind(Z,$fot(join(complement(join(one,top)),join(A,join(one,top)))))]]) ).
cnf(refute_0_1667,plain,
( join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(one,top)),join(A,join(one,top)))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(complement(join(one,top)),join(A,join(one,top))),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(one,top)),join(A,join(one,top)))) )],[refute_0_1657,refute_0_1667]) ).
cnf(refute_0_1669,plain,
( join(complement(join(one,top)),join(A,join(one,top))) != join(top,A)
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(complement(join(one,top)),join(A,join(one,top)))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(top,A) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))),bind(Y,$fot(join(complement(join(one,top)),join(A,join(one,top))))),bind(Z,$fot(join(top,A)))]]) ).
cnf(refute_0_1670,plain,
( join(complement(join(one,top)),join(A,join(one,top))) != join(top,A)
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(complement(join(one,top)),join(A,join(one,top)))) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) = join(top,A),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(A,join(one,top))),join(top,A)) )],[refute_0_1607,refute_0_1670]) ).
cnf(refute_0_1672,plain,
( join(A,top) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))) != join(top,A)
| join(A,top) = join(top,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,top),join(top,A)) ),[0],$fot(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))))]]) ).
cnf(refute_0_1673,plain,
( join(A,top) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(A,top) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top))))))),join(top,A)) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
( join(A,converse(top)) != join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))
| join(A,top) = join(top,A) ),
inference(resolve,[$cnf( $equal(join(A,top),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1517,refute_0_1673]) ).
cnf(refute_0_1675,plain,
join(A,top) = join(top,A),
inference(resolve,[$cnf( $equal(join(A,converse(top)),join(complement(join(top,converse(top))),join(A,join(complement(converse(zero)),converse(join(top,complement(converse(top)))))))) )],[refute_0_1511,refute_0_1674]) ).
cnf(refute_0_1676,plain,
join(converse(X_6),top) = join(top,converse(X_6)),
inference(subst,[],[refute_0_1675:[bind(A,$fot(converse(X_6)))]]) ).
cnf(refute_0_1677,plain,
( converse(join(X_6,top)) != join(converse(X_6),top)
| join(converse(X_6),top) != join(top,converse(X_6))
| converse(join(X_6,top)) = join(top,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_6,top)),join(top,converse(X_6))) ),[0],$fot(join(converse(X_6),top))]]) ).
cnf(refute_0_1678,plain,
( converse(join(X_6,top)) != join(converse(X_6),top)
| converse(join(X_6,top)) = join(top,converse(X_6)) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),top),join(top,converse(X_6))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
converse(join(X_6,top)) = join(top,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(join(X_6,top)),join(converse(X_6),top)) )],[refute_0_1431,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( converse(join(X_6,top)) != join(top,converse(X_6))
| join(top,converse(X_6)) = converse(join(X_6,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_6,top)))),bind(Y,$fot(join(top,converse(X_6))))]]) ).
cnf(refute_0_1681,plain,
join(top,converse(X_6)) = converse(join(X_6,top)),
inference(resolve,[$cnf( $equal(converse(join(X_6,top)),join(top,converse(X_6))) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
join(top,converse(complement(converse(complement(X_41))))) = converse(join(complement(converse(complement(X_41))),top)),
inference(subst,[],[refute_0_1681:[bind(X_6,$fot(complement(converse(complement(X_41)))))]]) ).
cnf(refute_0_1683,plain,
( converse(join(complement(converse(complement(X_41))),top)) != converse(join(top,complement(converse(complement(X_41)))))
| join(top,converse(complement(converse(complement(X_41))))) != converse(join(complement(converse(complement(X_41))),top))
| join(top,converse(complement(converse(complement(X_41))))) = converse(join(top,complement(converse(complement(X_41))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,converse(complement(converse(complement(X_41))))))),bind(Y,$fot(converse(join(complement(converse(complement(X_41))),top)))),bind(Z,$fot(converse(join(top,complement(converse(complement(X_41)))))))]]) ).
cnf(refute_0_1684,plain,
( converse(join(complement(converse(complement(X_41))),top)) != converse(join(top,complement(converse(complement(X_41)))))
| join(top,converse(complement(converse(complement(X_41))))) = converse(join(top,complement(converse(complement(X_41))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(complement(X_41))))),converse(join(complement(converse(complement(X_41))),top))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
join(top,converse(complement(converse(complement(X_41))))) = converse(join(top,complement(converse(complement(X_41))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(X_41))),top)),converse(join(top,complement(converse(complement(X_41)))))) )],[refute_0_1427,refute_0_1684]) ).
cnf(refute_0_1686,plain,
( join(X_41,top) != join(top,converse(complement(converse(complement(X_41)))))
| join(top,converse(complement(converse(complement(X_41))))) != converse(join(top,complement(converse(complement(X_41)))))
| join(X_41,top) = converse(join(top,complement(converse(complement(X_41))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,top),converse(join(top,complement(converse(complement(X_41)))))) ),[0],$fot(join(top,converse(complement(converse(complement(X_41))))))]]) ).
cnf(refute_0_1687,plain,
( join(X_41,top) != join(top,converse(complement(converse(complement(X_41)))))
| join(X_41,top) = converse(join(top,complement(converse(complement(X_41))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(complement(X_41))))),converse(join(top,complement(converse(complement(X_41)))))) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
join(X_41,top) = converse(join(top,complement(converse(complement(X_41))))),
inference(resolve,[$cnf( $equal(join(X_41,top),join(top,converse(complement(converse(complement(X_41)))))) )],[refute_0_1426,refute_0_1687]) ).
cnf(refute_0_1689,plain,
top = join(complement(X_18),join(complement(X_18),meet(X_18,X_18))),
inference(subst,[],[refute_0_303:[bind(X_17,$fot(X_18))]]) ).
cnf(refute_0_1690,plain,
join(zero,meet(X_78,X_78)) = meet(X_78,X_78),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(meet(X_78,X_78)))]]) ).
cnf(refute_0_1691,plain,
( X_78 != join(zero,meet(X_78,X_78))
| join(zero,meet(X_78,X_78)) != meet(X_78,X_78)
| X_78 = meet(X_78,X_78) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_78,meet(X_78,X_78)) ),[0],$fot(join(zero,meet(X_78,X_78)))]]) ).
cnf(refute_0_1692,plain,
( X_78 != join(zero,meet(X_78,X_78))
| X_78 = meet(X_78,X_78) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_78,X_78)),meet(X_78,X_78)) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
X_78 = meet(X_78,X_78),
inference(resolve,[$cnf( $equal(X_78,join(zero,meet(X_78,X_78))) )],[refute_0_218,refute_0_1692]) ).
cnf(refute_0_1694,plain,
X_18 = meet(X_18,X_18),
inference(subst,[],[refute_0_1693:[bind(X_78,$fot(X_18))]]) ).
cnf(refute_0_1695,plain,
( X_18 != meet(X_18,X_18)
| meet(X_18,X_18) = X_18 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_18)),bind(Y,$fot(meet(X_18,X_18)))]]) ).
cnf(refute_0_1696,plain,
meet(X_18,X_18) = X_18,
inference(resolve,[$cnf( $equal(X_18,meet(X_18,X_18)) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
( meet(X_18,X_18) != X_18
| top != join(complement(X_18),join(complement(X_18),meet(X_18,X_18)))
| top = join(complement(X_18),join(complement(X_18),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_18),join(complement(X_18),meet(X_18,X_18)))) ),[1,1,1],$fot(X_18)]]) ).
cnf(refute_0_1698,plain,
( top != join(complement(X_18),join(complement(X_18),meet(X_18,X_18)))
| top = join(complement(X_18),join(complement(X_18),X_18)) ),
inference(resolve,[$cnf( $equal(meet(X_18,X_18),X_18) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
top = join(complement(X_18),join(complement(X_18),X_18)),
inference(resolve,[$cnf( $equal(top,join(complement(X_18),join(complement(X_18),meet(X_18,X_18)))) )],[refute_0_1689,refute_0_1698]) ).
cnf(refute_0_1700,plain,
join(X_18,join(complement(X_18),complement(X_18))) = join(top,complement(X_18)),
inference(subst,[],[refute_0_859:[bind(X_41,$fot(X_18)),bind(X_42,$fot(complement(X_18)))]]) ).
cnf(refute_0_1701,plain,
join(complement(X_18),join(X_18,complement(X_18))) = join(X_18,join(complement(X_18),complement(X_18))),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(X_18)),bind(X_36,$fot(complement(X_18))),bind(X_37,$fot(complement(X_18)))]]) ).
cnf(refute_0_1702,plain,
( join(X_18,join(complement(X_18),complement(X_18))) != join(top,complement(X_18))
| join(complement(X_18),join(X_18,complement(X_18))) != join(X_18,join(complement(X_18),complement(X_18)))
| join(complement(X_18),join(X_18,complement(X_18))) = join(top,complement(X_18)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_18),join(X_18,complement(X_18))))),bind(Y,$fot(join(X_18,join(complement(X_18),complement(X_18))))),bind(Z,$fot(join(top,complement(X_18))))]]) ).
cnf(refute_0_1703,plain,
( join(X_18,join(complement(X_18),complement(X_18))) != join(top,complement(X_18))
| join(complement(X_18),join(X_18,complement(X_18))) = join(top,complement(X_18)) ),
inference(resolve,[$cnf( $equal(join(complement(X_18),join(X_18,complement(X_18))),join(X_18,join(complement(X_18),complement(X_18)))) )],[refute_0_1701,refute_0_1702]) ).
cnf(refute_0_1704,plain,
join(complement(X_18),join(X_18,complement(X_18))) = join(top,complement(X_18)),
inference(resolve,[$cnf( $equal(join(X_18,join(complement(X_18),complement(X_18))),join(top,complement(X_18))) )],[refute_0_1700,refute_0_1703]) ).
cnf(refute_0_1705,plain,
join(complement(X_18),join(complement(X_18),X_18)) = join(complement(X_18),join(X_18,complement(X_18))),
inference(subst,[],[refute_0_98:[bind(X_35,$fot(complement(X_18))),bind(X_36,$fot(complement(X_18))),bind(X_37,$fot(X_18))]]) ).
cnf(refute_0_1706,plain,
( join(complement(X_18),join(X_18,complement(X_18))) != join(top,complement(X_18))
| join(complement(X_18),join(complement(X_18),X_18)) != join(complement(X_18),join(X_18,complement(X_18)))
| join(complement(X_18),join(complement(X_18),X_18)) = join(top,complement(X_18)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(X_18),join(complement(X_18),X_18)))),bind(Y,$fot(join(complement(X_18),join(X_18,complement(X_18))))),bind(Z,$fot(join(top,complement(X_18))))]]) ).
cnf(refute_0_1707,plain,
( join(complement(X_18),join(X_18,complement(X_18))) != join(top,complement(X_18))
| join(complement(X_18),join(complement(X_18),X_18)) = join(top,complement(X_18)) ),
inference(resolve,[$cnf( $equal(join(complement(X_18),join(complement(X_18),X_18)),join(complement(X_18),join(X_18,complement(X_18)))) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
join(complement(X_18),join(complement(X_18),X_18)) = join(top,complement(X_18)),
inference(resolve,[$cnf( $equal(join(complement(X_18),join(X_18,complement(X_18))),join(top,complement(X_18))) )],[refute_0_1704,refute_0_1707]) ).
cnf(refute_0_1709,plain,
( join(complement(X_18),join(complement(X_18),X_18)) != join(top,complement(X_18))
| top != join(complement(X_18),join(complement(X_18),X_18))
| top = join(top,complement(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_18),join(complement(X_18),X_18))) ),[1],$fot(join(top,complement(X_18)))]]) ).
cnf(refute_0_1710,plain,
( top != join(complement(X_18),join(complement(X_18),X_18))
| top = join(top,complement(X_18)) ),
inference(resolve,[$cnf( $equal(join(complement(X_18),join(complement(X_18),X_18)),join(top,complement(X_18))) )],[refute_0_1708,refute_0_1709]) ).
cnf(refute_0_1711,plain,
top = join(top,complement(X_18)),
inference(resolve,[$cnf( $equal(top,join(complement(X_18),join(complement(X_18),X_18))) )],[refute_0_1699,refute_0_1710]) ).
cnf(refute_0_1712,plain,
( top != join(top,complement(X_18))
| join(top,complement(X_18)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_18))))]]) ).
cnf(refute_0_1713,plain,
join(top,complement(X_18)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_18))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
join(top,complement(converse(complement(X_41)))) = top,
inference(subst,[],[refute_0_1713:[bind(X_18,$fot(converse(complement(X_41))))]]) ).
cnf(refute_0_1715,plain,
converse(join(top,complement(converse(complement(X_41))))) = converse(join(top,complement(converse(complement(X_41))))),
introduced(tautology,[refl,[$fot(converse(join(top,complement(converse(complement(X_41))))))]]) ).
cnf(refute_0_1716,plain,
( converse(join(top,complement(converse(complement(X_41))))) != converse(join(top,complement(converse(complement(X_41)))))
| join(top,complement(converse(complement(X_41)))) != top
| converse(join(top,complement(converse(complement(X_41))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(converse(complement(X_41))))),converse(join(top,complement(converse(complement(X_41)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1717,plain,
( join(top,complement(converse(complement(X_41)))) != top
| converse(join(top,complement(converse(complement(X_41))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(complement(X_41))))),converse(join(top,complement(converse(complement(X_41)))))) )],[refute_0_1715,refute_0_1716]) ).
cnf(refute_0_1718,plain,
converse(join(top,complement(converse(complement(X_41))))) = converse(top),
inference(resolve,[$cnf( $equal(join(top,complement(converse(complement(X_41)))),top) )],[refute_0_1714,refute_0_1717]) ).
cnf(refute_0_1719,plain,
( converse(join(top,complement(converse(complement(X_41))))) != converse(top)
| converse(top) != top
| converse(join(top,complement(converse(complement(X_41))))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(top,complement(converse(complement(X_41))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1720,plain,
( converse(top) != top
| converse(join(top,complement(converse(complement(X_41))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(complement(X_41))))),converse(top)) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
converse(join(top,complement(converse(complement(X_41))))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1233,refute_0_1720]) ).
cnf(refute_0_1722,plain,
( converse(join(top,complement(converse(complement(X_41))))) != top
| join(X_41,top) != converse(join(top,complement(converse(complement(X_41)))))
| join(X_41,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,top),converse(join(top,complement(converse(complement(X_41)))))) ),[1],$fot(top)]]) ).
cnf(refute_0_1723,plain,
( join(X_41,top) != converse(join(top,complement(converse(complement(X_41)))))
| join(X_41,top) = top ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(complement(X_41))))),top) )],[refute_0_1721,refute_0_1722]) ).
cnf(refute_0_1724,plain,
join(X_41,top) = top,
inference(resolve,[$cnf( $equal(join(X_41,top),converse(join(top,complement(converse(complement(X_41)))))) )],[refute_0_1688,refute_0_1723]) ).
cnf(refute_0_1725,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1724:[bind(X_41,$fot(one))]]) ).
cnf(refute_0_1726,plain,
( join(one,top) != top
| join(top,top) != join(one,top)
| join(top,top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,top))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1727,plain,
( join(one,top) != top
| join(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_924,refute_0_1726]) ).
cnf(refute_0_1728,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1725,refute_0_1727]) ).
cnf(refute_0_1729,plain,
join(C,top) = top,
inference(subst,[],[refute_0_1724:[bind(X_41,$fot(C))]]) ).
cnf(refute_0_1730,plain,
join(top,join(C,top)) = join(top,join(C,top)),
introduced(tautology,[refl,[$fot(join(top,join(C,top)))]]) ).
cnf(refute_0_1731,plain,
( join(C,top) != top
| join(top,join(C,top)) != join(top,join(C,top))
| join(top,join(C,top)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(C,top)),join(top,join(C,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1732,plain,
( join(C,top) != top
| join(top,join(C,top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),join(top,join(C,top))) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
join(top,join(C,top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(C,top),top) )],[refute_0_1729,refute_0_1732]) ).
cnf(refute_0_1734,plain,
( join(top,join(C,top)) != join(top,top)
| join(top,top) != top
| join(top,join(C,top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(C,top)))),bind(Y,$fot(join(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1735,plain,
( join(top,top) != top
| join(top,join(C,top)) = top ),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),join(top,top)) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(top,join(C,top)) = top,
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_1728,refute_0_1735]) ).
cnf(refute_0_1737,plain,
( join(top,join(C,top)) != join(one,join(top,C))
| join(top,join(C,top)) != top
| top = join(one,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(C,top)),join(one,join(top,C))) ),[0],$fot(top)]]) ).
cnf(refute_0_1738,plain,
( join(top,join(C,top)) != join(one,join(top,C))
| top = join(one,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),top) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
top = join(one,join(top,C)),
inference(resolve,[$cnf( $equal(join(top,join(C,top)),join(one,join(top,C))) )],[refute_0_1412,refute_0_1738]) ).
cnf(refute_0_1740,plain,
( top != join(one,join(top,C))
| join(one,join(top,C)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(top,C))))]]) ).
cnf(refute_0_1741,plain,
join(one,join(top,C)) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(top,C))) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( join(one,join(top,C)) != top
| join(top,join(top,C)) != join(one,join(top,C))
| join(top,join(top,C)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(top,C)))),bind(Y,$fot(join(one,join(top,C)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1743,plain,
( join(one,join(top,C)) != top
| join(top,join(top,C)) = top ),
inference(resolve,[$cnf( $equal(join(top,join(top,C)),join(one,join(top,C))) )],[refute_0_1409,refute_0_1742]) ).
cnf(refute_0_1744,plain,
join(top,join(top,C)) = top,
inference(resolve,[$cnf( $equal(join(one,join(top,C)),top) )],[refute_0_1741,refute_0_1743]) ).
cnf(refute_0_1745,plain,
join(converse(sk1),join(complement(converse(sk1)),C)) = join(top,C),
inference(subst,[],[refute_0_330:[bind(X_35,$fot(converse(sk1))),bind(X_37,$fot(C))]]) ).
cnf(refute_0_1746,plain,
join(complement(converse(sk1)),join(converse(sk1),C)) = join(converse(sk1),join(complement(converse(sk1)),C)),
inference(subst,[],[refute_0_111:[bind(X_35,$fot(converse(sk1))),bind(X_36,$fot(complement(converse(sk1)))),bind(X_37,$fot(C))]]) ).
cnf(refute_0_1747,plain,
( join(complement(converse(sk1)),join(converse(sk1),C)) != join(converse(sk1),join(complement(converse(sk1)),C))
| join(converse(sk1),join(complement(converse(sk1)),C)) != join(top,C)
| join(complement(converse(sk1)),join(converse(sk1),C)) = join(top,C) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(sk1)),join(converse(sk1),C)))),bind(Y,$fot(join(converse(sk1),join(complement(converse(sk1)),C)))),bind(Z,$fot(join(top,C)))]]) ).
cnf(refute_0_1748,plain,
( join(converse(sk1),join(complement(converse(sk1)),C)) != join(top,C)
| join(complement(converse(sk1)),join(converse(sk1),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(sk1),C)),join(converse(sk1),join(complement(converse(sk1)),C))) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
join(complement(converse(sk1)),join(converse(sk1),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(converse(sk1)),C)),join(top,C)) )],[refute_0_1745,refute_0_1748]) ).
cnf(refute_0_1750,plain,
join(join(zero,X_69),zero) = join(zero,join(zero,X_69)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(zero,X_69))),bind(B,$fot(zero))]]) ).
cnf(refute_0_1751,plain,
join(zero,join(zero,X_69)) = join(zero,X_69),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_69))]]) ).
cnf(refute_0_1752,plain,
( join(join(zero,X_69),zero) != join(zero,join(zero,X_69))
| join(zero,join(zero,X_69)) != join(zero,X_69)
| join(join(zero,X_69),zero) = join(zero,X_69) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_69),zero),join(zero,X_69)) ),[0],$fot(join(zero,join(zero,X_69)))]]) ).
cnf(refute_0_1753,plain,
( join(join(zero,X_69),zero) != join(zero,join(zero,X_69))
| join(join(zero,X_69),zero) = join(zero,X_69) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_69)),join(zero,X_69)) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
join(join(zero,X_69),zero) = join(zero,X_69),
inference(resolve,[$cnf( $equal(join(join(zero,X_69),zero),join(zero,join(zero,X_69))) )],[refute_0_1750,refute_0_1753]) ).
cnf(refute_0_1755,plain,
join(join(zero,X_69),zero) = join(zero,join(X_69,zero)),
inference(subst,[],[refute_0_92:[bind(A,$fot(zero)),bind(B,$fot(X_69)),bind(C,$fot(zero))]]) ).
cnf(refute_0_1756,plain,
( join(join(zero,X_69),zero) != join(zero,X_69)
| join(join(zero,X_69),zero) != join(zero,join(X_69,zero))
| join(zero,join(X_69,zero)) = join(zero,X_69) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_69),zero),join(zero,X_69)) ),[0],$fot(join(zero,join(X_69,zero)))]]) ).
cnf(refute_0_1757,plain,
( join(join(zero,X_69),zero) != join(zero,X_69)
| join(zero,join(X_69,zero)) = join(zero,X_69) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_69),zero),join(zero,join(X_69,zero))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
join(zero,join(X_69,zero)) = join(zero,X_69),
inference(resolve,[$cnf( $equal(join(join(zero,X_69),zero),join(zero,X_69)) )],[refute_0_1754,refute_0_1757]) ).
cnf(refute_0_1759,plain,
join(zero,join(X_69,zero)) = join(X_69,zero),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(join(X_69,zero)))]]) ).
cnf(refute_0_1760,plain,
( join(zero,join(X_69,zero)) != join(X_69,zero)
| join(zero,join(X_69,zero)) != join(zero,X_69)
| join(X_69,zero) = join(zero,X_69) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_69,zero)),join(zero,X_69)) ),[0],$fot(join(X_69,zero))]]) ).
cnf(refute_0_1761,plain,
( join(zero,join(X_69,zero)) != join(zero,X_69)
| join(X_69,zero) = join(zero,X_69) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_69,zero)),join(X_69,zero)) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
join(zero,X_69) = X_69,
inference(subst,[],[refute_0_226:[bind(X_78,$fot(X_69))]]) ).
cnf(refute_0_1763,plain,
( join(X_69,zero) != join(zero,X_69)
| join(zero,X_69) != X_69
| join(X_69,zero) = X_69 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_69,zero),X_69) ),[0],$fot(join(zero,X_69))]]) ).
cnf(refute_0_1764,plain,
( join(X_69,zero) != join(zero,X_69)
| join(X_69,zero) = X_69 ),
inference(resolve,[$cnf( $equal(join(zero,X_69),X_69) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
( join(zero,join(X_69,zero)) != join(zero,X_69)
| join(X_69,zero) = X_69 ),
inference(resolve,[$cnf( $equal(join(X_69,zero),join(zero,X_69)) )],[refute_0_1761,refute_0_1764]) ).
cnf(refute_0_1766,plain,
join(X_69,zero) = X_69,
inference(resolve,[$cnf( $equal(join(zero,join(X_69,zero)),join(zero,X_69)) )],[refute_0_1758,refute_0_1765]) ).
cnf(refute_0_1767,plain,
join(sk1,zero) = sk1,
inference(subst,[],[refute_0_1766:[bind(X_69,$fot(sk1))]]) ).
cnf(refute_0_1768,plain,
complement(join(one,top)) = complement(join(one,top)),
introduced(tautology,[refl,[$fot(complement(join(one,top)))]]) ).
cnf(refute_0_1769,plain,
( complement(join(one,top)) != complement(join(one,top))
| join(one,top) != top
| complement(join(one,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1770,plain,
( join(one,top) != top
| complement(join(one,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
complement(join(one,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1725,refute_0_1770]) ).
cnf(refute_0_1772,plain,
( complement(join(one,top)) != complement(top)
| complement(top) != zero
| complement(join(one,top)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(one,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1773,plain,
( complement(top) != zero
| complement(join(one,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(top)) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
complement(join(one,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_1773]) ).
cnf(refute_0_1775,plain,
join(sk1,complement(join(one,top))) = join(sk1,complement(join(one,top))),
introduced(tautology,[refl,[$fot(join(sk1,complement(join(one,top))))]]) ).
cnf(refute_0_1776,plain,
( complement(join(one,top)) != zero
| join(sk1,complement(join(one,top))) != join(sk1,complement(join(one,top)))
| join(sk1,complement(join(one,top))) = join(sk1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(join(one,top))),join(sk1,complement(join(one,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1777,plain,
( complement(join(one,top)) != zero
| join(sk1,complement(join(one,top))) = join(sk1,zero) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(one,top))),join(sk1,complement(join(one,top)))) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
join(sk1,complement(join(one,top))) = join(sk1,zero),
inference(resolve,[$cnf( $equal(complement(join(one,top)),zero) )],[refute_0_1774,refute_0_1777]) ).
cnf(refute_0_1779,plain,
( join(sk1,complement(join(one,top))) != join(sk1,zero)
| join(sk1,zero) != sk1
| join(sk1,complement(join(one,top))) = sk1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,complement(join(one,top))))),bind(Y,$fot(join(sk1,zero))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_1780,plain,
( join(sk1,zero) != sk1
| join(sk1,complement(join(one,top))) = sk1 ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(one,top))),join(sk1,zero)) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
join(sk1,complement(join(one,top))) = sk1,
inference(resolve,[$cnf( $equal(join(sk1,zero),sk1) )],[refute_0_1767,refute_0_1780]) ).
cnf(refute_0_1782,plain,
converse(join(sk1,complement(join(one,top)))) = converse(join(sk1,complement(join(one,top)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,complement(join(one,top)))))]]) ).
cnf(refute_0_1783,plain,
( converse(join(sk1,complement(join(one,top)))) != converse(join(sk1,complement(join(one,top))))
| join(sk1,complement(join(one,top))) != sk1
| converse(join(sk1,complement(join(one,top)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,complement(join(one,top)))),converse(join(sk1,complement(join(one,top))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1784,plain,
( join(sk1,complement(join(one,top))) != sk1
| converse(join(sk1,complement(join(one,top)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(join(one,top)))),converse(join(sk1,complement(join(one,top))))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
converse(join(sk1,complement(join(one,top)))) = converse(sk1),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(one,top))),sk1) )],[refute_0_1781,refute_0_1784]) ).
cnf(refute_0_1786,plain,
join(converse(join(sk1,complement(join(one,top)))),C) = join(converse(join(sk1,complement(join(one,top)))),C),
introduced(tautology,[refl,[$fot(join(converse(join(sk1,complement(join(one,top)))),C))]]) ).
cnf(refute_0_1787,plain,
( converse(join(sk1,complement(join(one,top)))) != converse(sk1)
| join(converse(join(sk1,complement(join(one,top)))),C) != join(converse(join(sk1,complement(join(one,top)))),C)
| join(converse(join(sk1,complement(join(one,top)))),C) = join(converse(sk1),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,complement(join(one,top)))),C),join(converse(join(sk1,complement(join(one,top)))),C)) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_1788,plain,
( converse(join(sk1,complement(join(one,top)))) != converse(sk1)
| join(converse(join(sk1,complement(join(one,top)))),C) = join(converse(sk1),C) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(join(one,top)))),C),join(converse(join(sk1,complement(join(one,top)))),C)) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
join(converse(join(sk1,complement(join(one,top)))),C) = join(converse(sk1),C),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(join(one,top)))),converse(sk1)) )],[refute_0_1785,refute_0_1788]) ).
cnf(refute_0_1790,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))]]) ).
cnf(refute_0_1791,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) != join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))
| join(converse(join(sk1,complement(join(one,top)))),C) != join(converse(sk1),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(complement(converse(sk1)),join(converse(sk1),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) ),[1,1],$fot(join(converse(sk1),C))]]) ).
cnf(refute_0_1792,plain,
( join(converse(join(sk1,complement(join(one,top)))),C) != join(converse(sk1),C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(complement(converse(sk1)),join(converse(sk1),C)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(complement(converse(sk1)),join(converse(sk1),C)),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(join(one,top)))),C),join(converse(sk1),C)) )],[refute_0_1789,refute_0_1792]) ).
cnf(refute_0_1794,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) != join(complement(converse(sk1)),join(converse(sk1),C))
| join(complement(converse(sk1)),join(converse(sk1),C)) != join(top,C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(top,C) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))),bind(Y,$fot(join(complement(converse(sk1)),join(converse(sk1),C)))),bind(Z,$fot(join(top,C)))]]) ).
cnf(refute_0_1795,plain,
( join(complement(converse(sk1)),join(converse(sk1),C)) != join(top,C)
| join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),join(complement(converse(sk1)),join(converse(sk1),C))) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(sk1),C)),join(top,C)) )],[refute_0_1749,refute_0_1795]) ).
cnf(refute_0_1797,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),
introduced(tautology,[refl,[$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))))]]) ).
cnf(refute_0_1798,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) != join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))) ),[1,1],$fot(join(top,C))]]) ).
cnf(refute_0_1799,plain,
( join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = join(top,join(top,C)),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C)),join(top,C)) )],[refute_0_1796,refute_0_1799]) ).
cnf(refute_0_1801,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) != join(top,join(top,C))
| join(top,join(top,C)) != top
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))))),bind(Y,$fot(join(top,join(top,C)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1802,plain,
( join(top,join(top,C)) != top
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = top ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),join(top,join(top,C))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) = top,
inference(resolve,[$cnf( $equal(join(top,join(top,C)),top) )],[refute_0_1744,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) != join(top,C)
| join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) != top
| top = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),join(top,C)) ),[0],$fot(top)]]) ).
cnf(refute_0_1805,plain,
( join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))) != join(top,C)
| top = join(top,C) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),top) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
top = join(top,C),
inference(resolve,[$cnf( $equal(join(top,join(complement(converse(sk1)),join(converse(join(sk1,complement(join(one,top)))),C))),join(top,C)) )],[refute_0_1375,refute_0_1805]) ).
cnf(refute_0_1807,plain,
( top != join(top,C)
| join(top,C) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,C)))]]) ).
cnf(refute_0_1808,plain,
join(top,C) = top,
inference(resolve,[$cnf( $equal(top,join(top,C)) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
join(top,X_37) = top,
inference(subst,[],[refute_0_1808:[bind(C,$fot(X_37))]]) ).
cnf(refute_0_1810,plain,
complement(join(top,X_37)) = complement(join(top,X_37)),
introduced(tautology,[refl,[$fot(complement(join(top,X_37)))]]) ).
cnf(refute_0_1811,plain,
( complement(join(top,X_37)) != complement(join(top,X_37))
| join(top,X_37) != top
| complement(join(top,X_37)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X_37)),complement(join(top,X_37))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1812,plain,
( join(top,X_37) != top
| complement(join(top,X_37)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X_37)),complement(join(top,X_37))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
complement(join(top,X_37)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X_37),top) )],[refute_0_1809,refute_0_1812]) ).
cnf(refute_0_1814,plain,
( complement(join(top,X_37)) != complement(top)
| complement(top) != zero
| complement(join(top,X_37)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(top,X_37)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1815,plain,
( complement(top) != zero
| complement(join(top,X_37)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X_37)),complement(top)) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
complement(join(top,X_37)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))))]]) ).
cnf(refute_0_1818,plain,
( complement(join(top,X_37)) != zero
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) != join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = join(zero,meet(X_76,join(X_76,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1819,plain,
( complement(join(top,X_37)) != zero
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = join(zero,meet(X_76,join(X_76,X_37))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = join(zero,meet(X_76,join(X_76,X_37))),
inference(resolve,[$cnf( $equal(complement(join(top,X_37)),zero) )],[refute_0_1816,refute_0_1819]) ).
cnf(refute_0_1821,plain,
( join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) != join(zero,meet(X_76,join(X_76,X_37)))
| join(zero,meet(X_76,join(X_76,X_37))) != meet(X_76,join(X_76,X_37))
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = meet(X_76,join(X_76,X_37)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))))),bind(Y,$fot(join(zero,meet(X_76,join(X_76,X_37))))),bind(Z,$fot(meet(X_76,join(X_76,X_37))))]]) ).
cnf(refute_0_1822,plain,
( join(zero,meet(X_76,join(X_76,X_37))) != meet(X_76,join(X_76,X_37))
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = meet(X_76,join(X_76,X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),join(zero,meet(X_76,join(X_76,X_37)))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) = meet(X_76,join(X_76,X_37)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_76,join(X_76,X_37))),meet(X_76,join(X_76,X_37))) )],[refute_0_355,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( X_76 != join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))
| join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))) != meet(X_76,join(X_76,X_37))
| X_76 = meet(X_76,join(X_76,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,meet(X_76,join(X_76,X_37))) ),[0],$fot(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))))]]) ).
cnf(refute_0_1825,plain,
( X_76 != join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))
| X_76 = meet(X_76,join(X_76,X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37))),meet(X_76,join(X_76,X_37))) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
X_76 = meet(X_76,join(X_76,X_37)),
inference(resolve,[$cnf( $equal(X_76,join(complement(join(top,X_37)),meet(X_76,join(X_76,X_37)))) )],[refute_0_354,refute_0_1825]) ).
cnf(refute_0_1827,plain,
sk1 = meet(sk1,join(sk1,converse(complement(join(sk2,converse(sk1)))))),
inference(subst,[],[refute_0_1826:[bind(X_37,$fot(converse(complement(join(sk2,converse(sk1)))))),bind(X_76,$fot(sk1))]]) ).
cnf(refute_0_1828,plain,
converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = converse(join(converse(sk1),complement(join(sk2,converse(sk1))))),
inference(subst,[],[refute_0_369:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(complement(join(sk2,converse(sk1)))))]]) ).
cnf(refute_0_1829,plain,
X_76 = join(meet(X_76,X_77),complement(join(complement(X_76),X_77))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(X_77))]]) ).
cnf(refute_0_1830,plain,
join(X_77,complement(X_76)) = join(complement(X_76),X_77),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_77)),bind(B,$fot(complement(X_76)))]]) ).
cnf(refute_0_1831,plain,
( join(X_77,complement(X_76)) != join(complement(X_76),X_77)
| join(complement(X_76),X_77) = join(X_77,complement(X_76)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_77,complement(X_76)))),bind(Y,$fot(join(complement(X_76),X_77)))]]) ).
cnf(refute_0_1832,plain,
join(complement(X_76),X_77) = join(X_77,complement(X_76)),
inference(resolve,[$cnf( $equal(join(X_77,complement(X_76)),join(complement(X_76),X_77)) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
( X_76 != join(meet(X_76,X_77),complement(join(complement(X_76),X_77)))
| join(complement(X_76),X_77) != join(X_77,complement(X_76))
| X_76 = join(meet(X_76,X_77),complement(join(X_77,complement(X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,X_77),complement(join(complement(X_76),X_77)))) ),[1,1,0],$fot(join(X_77,complement(X_76)))]]) ).
cnf(refute_0_1834,plain,
( X_76 != join(meet(X_76,X_77),complement(join(complement(X_76),X_77)))
| X_76 = join(meet(X_76,X_77),complement(join(X_77,complement(X_76)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_76),X_77),join(X_77,complement(X_76))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
X_76 = join(meet(X_76,X_77),complement(join(X_77,complement(X_76)))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,X_77),complement(join(complement(X_76),X_77)))) )],[refute_0_1829,refute_0_1834]) ).
cnf(refute_0_1836,plain,
complement(sk2) = join(meet(complement(sk2),converse(sk1)),complement(join(converse(sk1),complement(complement(sk2))))),
inference(subst,[],[refute_0_1835:[bind(X_76,$fot(complement(sk2))),bind(X_77,$fot(converse(sk1)))]]) ).
cnf(refute_0_1837,plain,
converse(sk1) = join(meet(converse(sk1),complement(sk2)),complement(join(complement(sk2),complement(converse(sk1))))),
inference(subst,[],[refute_0_1835:[bind(X_76,$fot(converse(sk1))),bind(X_77,$fot(complement(sk2)))]]) ).
cnf(refute_0_1838,plain,
( converse(sk1) != join(meet(converse(sk1),complement(sk2)),complement(join(complement(sk2),complement(converse(sk1)))))
| join(complement(sk2),complement(converse(sk1))) != top
| converse(sk1) = join(meet(converse(sk1),complement(sk2)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),complement(sk2)),complement(join(complement(sk2),complement(converse(sk1)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1839,plain,
( converse(sk1) != join(meet(converse(sk1),complement(sk2)),complement(join(complement(sk2),complement(converse(sk1)))))
| converse(sk1) = join(meet(converse(sk1),complement(sk2)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(sk2),complement(converse(sk1))),top) )],[refute_0_1200,refute_0_1838]) ).
cnf(refute_0_1840,plain,
converse(sk1) = join(meet(converse(sk1),complement(sk2)),complement(top)),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),complement(sk2)),complement(join(complement(sk2),complement(converse(sk1)))))) )],[refute_0_1837,refute_0_1839]) ).
cnf(refute_0_1841,plain,
join(zero,meet(complement(sk2),converse(sk1))) = meet(complement(sk2),converse(sk1)),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(meet(complement(sk2),converse(sk1))))]]) ).
cnf(refute_0_1842,plain,
meet(converse(sk1),complement(sk2)) = meet(complement(sk2),converse(sk1)),
inference(subst,[],[refute_0_74:[bind(X_17,$fot(complement(sk2))),bind(X_18,$fot(converse(sk1)))]]) ).
cnf(refute_0_1843,plain,
join(zero,meet(converse(sk1),complement(sk2))) = join(zero,meet(converse(sk1),complement(sk2))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(sk1),complement(sk2))))]]) ).
cnf(refute_0_1844,plain,
( join(zero,meet(converse(sk1),complement(sk2))) != join(zero,meet(converse(sk1),complement(sk2)))
| meet(converse(sk1),complement(sk2)) != meet(complement(sk2),converse(sk1))
| join(zero,meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(sk1),complement(sk2))),join(zero,meet(converse(sk1),complement(sk2)))) ),[1,1],$fot(meet(complement(sk2),converse(sk1)))]]) ).
cnf(refute_0_1845,plain,
( meet(converse(sk1),complement(sk2)) != meet(complement(sk2),converse(sk1))
| join(zero,meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk1),complement(sk2))),join(zero,meet(converse(sk1),complement(sk2)))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
join(zero,meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(sk2)),meet(complement(sk2),converse(sk1))) )],[refute_0_1842,refute_0_1845]) ).
cnf(refute_0_1847,plain,
join(complement(top),meet(converse(sk1),complement(sk2))) = join(complement(top),meet(converse(sk1),complement(sk2))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(sk1),complement(sk2))))]]) ).
cnf(refute_0_1848,plain,
( complement(top) != zero
| join(complement(top),meet(converse(sk1),complement(sk2))) != join(complement(top),meet(converse(sk1),complement(sk2)))
| join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(converse(sk1),complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(sk1),complement(sk2))),join(complement(top),meet(converse(sk1),complement(sk2)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1849,plain,
( complement(top) != zero
| join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(converse(sk1),complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),complement(sk2))),join(complement(top),meet(converse(sk1),complement(sk2)))) )],[refute_0_1847,refute_0_1848]) ).
cnf(refute_0_1850,plain,
join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(converse(sk1),complement(sk2))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_1849]) ).
cnf(refute_0_1851,plain,
( join(complement(top),meet(converse(sk1),complement(sk2))) != join(zero,meet(converse(sk1),complement(sk2)))
| join(zero,meet(converse(sk1),complement(sk2))) != join(zero,meet(complement(sk2),converse(sk1)))
| join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(converse(sk1),complement(sk2))))),bind(Y,$fot(join(zero,meet(converse(sk1),complement(sk2))))),bind(Z,$fot(join(zero,meet(complement(sk2),converse(sk1)))))]]) ).
cnf(refute_0_1852,plain,
( join(zero,meet(converse(sk1),complement(sk2))) != join(zero,meet(complement(sk2),converse(sk1)))
| join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),complement(sk2))),join(zero,meet(converse(sk1),complement(sk2)))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
join(complement(top),meet(converse(sk1),complement(sk2))) = join(zero,meet(complement(sk2),converse(sk1))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(sk1),complement(sk2))),join(zero,meet(complement(sk2),converse(sk1)))) )],[refute_0_1846,refute_0_1852]) ).
cnf(refute_0_1854,plain,
( join(complement(top),meet(converse(sk1),complement(sk2))) != join(zero,meet(complement(sk2),converse(sk1)))
| join(zero,meet(complement(sk2),converse(sk1))) != meet(complement(sk2),converse(sk1))
| join(complement(top),meet(converse(sk1),complement(sk2))) = meet(complement(sk2),converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(converse(sk1),complement(sk2))))),bind(Y,$fot(join(zero,meet(complement(sk2),converse(sk1))))),bind(Z,$fot(meet(complement(sk2),converse(sk1))))]]) ).
cnf(refute_0_1855,plain,
( join(zero,meet(complement(sk2),converse(sk1))) != meet(complement(sk2),converse(sk1))
| join(complement(top),meet(converse(sk1),complement(sk2))) = meet(complement(sk2),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),complement(sk2))),join(zero,meet(complement(sk2),converse(sk1)))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
join(complement(top),meet(converse(sk1),complement(sk2))) = meet(complement(sk2),converse(sk1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(sk2),converse(sk1))),meet(complement(sk2),converse(sk1))) )],[refute_0_1841,refute_0_1855]) ).
cnf(refute_0_1857,plain,
join(meet(converse(sk1),complement(sk2)),complement(top)) = join(complement(top),meet(converse(sk1),complement(sk2))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(converse(sk1),complement(sk2))))]]) ).
cnf(refute_0_1858,plain,
( join(complement(top),meet(converse(sk1),complement(sk2))) != meet(complement(sk2),converse(sk1))
| join(meet(converse(sk1),complement(sk2)),complement(top)) != join(complement(top),meet(converse(sk1),complement(sk2)))
| join(meet(converse(sk1),complement(sk2)),complement(top)) = meet(complement(sk2),converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(converse(sk1),complement(sk2)),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(sk1),complement(sk2))))),bind(Z,$fot(meet(complement(sk2),converse(sk1))))]]) ).
cnf(refute_0_1859,plain,
( join(complement(top),meet(converse(sk1),complement(sk2))) != meet(complement(sk2),converse(sk1))
| join(meet(converse(sk1),complement(sk2)),complement(top)) = meet(complement(sk2),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(sk2)),complement(top)),join(complement(top),meet(converse(sk1),complement(sk2)))) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
join(meet(converse(sk1),complement(sk2)),complement(top)) = meet(complement(sk2),converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(sk1),complement(sk2))),meet(complement(sk2),converse(sk1))) )],[refute_0_1856,refute_0_1859]) ).
cnf(refute_0_1861,plain,
( converse(sk1) != join(meet(converse(sk1),complement(sk2)),complement(top))
| join(meet(converse(sk1),complement(sk2)),complement(top)) != meet(complement(sk2),converse(sk1))
| converse(sk1) = meet(complement(sk2),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(complement(sk2),converse(sk1))) ),[0],$fot(join(meet(converse(sk1),complement(sk2)),complement(top)))]]) ).
cnf(refute_0_1862,plain,
( converse(sk1) != join(meet(converse(sk1),complement(sk2)),complement(top))
| converse(sk1) = meet(complement(sk2),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(sk2)),complement(top)),meet(complement(sk2),converse(sk1))) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
converse(sk1) = meet(complement(sk2),converse(sk1)),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),complement(sk2)),complement(top))) )],[refute_0_1840,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( converse(sk1) != meet(complement(sk2),converse(sk1))
| meet(complement(sk2),converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(complement(sk2),converse(sk1))))]]) ).
cnf(refute_0_1865,plain,
meet(complement(sk2),converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(complement(sk2),converse(sk1))) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
( complement(sk2) != join(meet(complement(sk2),converse(sk1)),complement(join(converse(sk1),complement(complement(sk2)))))
| meet(complement(sk2),converse(sk1)) != converse(sk1)
| complement(sk2) = join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk2),join(meet(complement(sk2),converse(sk1)),complement(join(converse(sk1),complement(complement(sk2)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_1867,plain,
( complement(sk2) != join(meet(complement(sk2),converse(sk1)),complement(join(converse(sk1),complement(complement(sk2)))))
| complement(sk2) = join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk2),converse(sk1)),converse(sk1)) )],[refute_0_1865,refute_0_1866]) ).
cnf(refute_0_1868,plain,
complement(sk2) = join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),
inference(resolve,[$cnf( $equal(complement(sk2),join(meet(complement(sk2),converse(sk1)),complement(join(converse(sk1),complement(complement(sk2)))))) )],[refute_0_1836,refute_0_1867]) ).
cnf(refute_0_1869,plain,
join(converse(sk1),sk2) = join(sk2,converse(sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk2)),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_1870,plain,
complement(complement(sk2)) = sk2,
inference(subst,[],[refute_0_293:[bind(X_20,$fot(sk2))]]) ).
cnf(refute_0_1871,plain,
join(converse(sk1),complement(complement(sk2))) = join(converse(sk1),complement(complement(sk2))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(complement(sk2))))]]) ).
cnf(refute_0_1872,plain,
( complement(complement(sk2)) != sk2
| join(converse(sk1),complement(complement(sk2))) != join(converse(sk1),complement(complement(sk2)))
| join(converse(sk1),complement(complement(sk2))) = join(converse(sk1),sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(complement(sk2))),join(converse(sk1),complement(complement(sk2)))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_1873,plain,
( complement(complement(sk2)) != sk2
| join(converse(sk1),complement(complement(sk2))) = join(converse(sk1),sk2) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk2))),join(converse(sk1),complement(complement(sk2)))) )],[refute_0_1871,refute_0_1872]) ).
cnf(refute_0_1874,plain,
join(converse(sk1),complement(complement(sk2))) = join(converse(sk1),sk2),
inference(resolve,[$cnf( $equal(complement(complement(sk2)),sk2) )],[refute_0_1870,refute_0_1873]) ).
cnf(refute_0_1875,plain,
( join(converse(sk1),complement(complement(sk2))) != join(converse(sk1),sk2)
| join(converse(sk1),sk2) != join(sk2,converse(sk1))
| join(converse(sk1),complement(complement(sk2))) = join(sk2,converse(sk1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(converse(sk1),complement(complement(sk2))))),bind(Y,$fot(join(converse(sk1),sk2))),bind(Z,$fot(join(sk2,converse(sk1))))]]) ).
cnf(refute_0_1876,plain,
( join(converse(sk1),sk2) != join(sk2,converse(sk1))
| join(converse(sk1),complement(complement(sk2))) = join(sk2,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk2))),join(converse(sk1),sk2)) )],[refute_0_1874,refute_0_1875]) ).
cnf(refute_0_1877,plain,
join(converse(sk1),complement(complement(sk2))) = join(sk2,converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),sk2),join(sk2,converse(sk1))) )],[refute_0_1869,refute_0_1876]) ).
cnf(refute_0_1878,plain,
complement(join(converse(sk1),complement(complement(sk2)))) = complement(join(converse(sk1),complement(complement(sk2)))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),complement(complement(sk2)))))]]) ).
cnf(refute_0_1879,plain,
( complement(join(converse(sk1),complement(complement(sk2)))) != complement(join(converse(sk1),complement(complement(sk2))))
| join(converse(sk1),complement(complement(sk2))) != join(sk2,converse(sk1))
| complement(join(converse(sk1),complement(complement(sk2)))) = complement(join(sk2,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),complement(complement(sk2)))),complement(join(converse(sk1),complement(complement(sk2))))) ),[1,0],$fot(join(sk2,converse(sk1)))]]) ).
cnf(refute_0_1880,plain,
( join(converse(sk1),complement(complement(sk2))) != join(sk2,converse(sk1))
| complement(join(converse(sk1),complement(complement(sk2)))) = complement(join(sk2,converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),complement(complement(sk2)))),complement(join(converse(sk1),complement(complement(sk2))))) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
complement(join(converse(sk1),complement(complement(sk2)))) = complement(join(sk2,converse(sk1))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk2))),join(sk2,converse(sk1))) )],[refute_0_1877,refute_0_1880]) ).
cnf(refute_0_1882,plain,
join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) = join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))))]]) ).
cnf(refute_0_1883,plain,
( complement(join(converse(sk1),complement(complement(sk2)))) != complement(join(sk2,converse(sk1)))
| join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) != join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))
| join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) = join(converse(sk1),complement(join(sk2,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))) ),[1,1],$fot(complement(join(sk2,converse(sk1))))]]) ).
cnf(refute_0_1884,plain,
( complement(join(converse(sk1),complement(complement(sk2)))) != complement(join(sk2,converse(sk1)))
| join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) = join(converse(sk1),complement(join(sk2,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) = join(converse(sk1),complement(join(sk2,converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),complement(complement(sk2)))),complement(join(sk2,converse(sk1)))) )],[refute_0_1881,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( complement(sk2) != join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))
| join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))) != join(converse(sk1),complement(join(sk2,converse(sk1))))
| complement(sk2) = join(converse(sk1),complement(join(sk2,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk2),join(converse(sk1),complement(join(sk2,converse(sk1))))) ),[0],$fot(join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))))]]) ).
cnf(refute_0_1887,plain,
( complement(sk2) != join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))
| complement(sk2) = join(converse(sk1),complement(join(sk2,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),join(converse(sk1),complement(join(sk2,converse(sk1))))) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
complement(sk2) = join(converse(sk1),complement(join(sk2,converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(sk2),join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2)))))) )],[refute_0_1868,refute_0_1887]) ).
cnf(refute_0_1889,plain,
( complement(sk2) != join(converse(sk1),complement(join(sk2,converse(sk1))))
| join(converse(sk1),complement(join(sk2,converse(sk1)))) = complement(sk2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk2))),bind(Y,$fot(join(converse(sk1),complement(join(sk2,converse(sk1))))))]]) ).
cnf(refute_0_1890,plain,
join(converse(sk1),complement(join(sk2,converse(sk1)))) = complement(sk2),
inference(resolve,[$cnf( $equal(complement(sk2),join(converse(sk1),complement(join(sk2,converse(sk1))))) )],[refute_0_1888,refute_0_1889]) ).
cnf(refute_0_1891,plain,
( converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != converse(join(converse(sk1),complement(join(sk2,converse(sk1)))))
| join(converse(sk1),complement(join(sk2,converse(sk1)))) != complement(sk2)
| converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = converse(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),converse(join(converse(sk1),complement(join(sk2,converse(sk1)))))) ),[1,0],$fot(complement(sk2))]]) ).
cnf(refute_0_1892,plain,
( converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != converse(join(converse(sk1),complement(join(sk2,converse(sk1)))))
| converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = converse(complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk2,converse(sk1)))),complement(sk2)) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = converse(complement(sk2)),
inference(resolve,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),converse(join(converse(sk1),complement(join(sk2,converse(sk1)))))) )],[refute_0_1828,refute_0_1892]) ).
cnf(refute_0_1894,plain,
join(converse(complement(join(sk2,converse(sk1)))),sk1) = join(sk1,converse(complement(join(sk2,converse(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(converse(complement(join(sk2,converse(sk1))))))]]) ).
cnf(refute_0_1895,plain,
converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = join(converse(complement(join(sk2,converse(sk1)))),sk1),
inference(subst,[],[refute_0_670:[bind(A,$fot(sk1)),bind(X_6,$fot(complement(join(sk2,converse(sk1)))))]]) ).
cnf(refute_0_1896,plain,
( converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != join(converse(complement(join(sk2,converse(sk1)))),sk1)
| join(converse(complement(join(sk2,converse(sk1)))),sk1) != join(sk1,converse(complement(join(sk2,converse(sk1)))))
| converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(sk2,converse(sk1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))))),bind(Y,$fot(join(converse(complement(join(sk2,converse(sk1)))),sk1))),bind(Z,$fot(join(sk1,converse(complement(join(sk2,converse(sk1)))))))]]) ).
cnf(refute_0_1897,plain,
( join(converse(complement(join(sk2,converse(sk1)))),sk1) != join(sk1,converse(complement(join(sk2,converse(sk1)))))
| converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(sk2,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),join(converse(complement(join(sk2,converse(sk1)))),sk1)) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(sk2,converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk2,converse(sk1)))),sk1),join(sk1,converse(complement(join(sk2,converse(sk1)))))) )],[refute_0_1894,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != converse(complement(sk2))
| converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != join(sk1,converse(complement(join(sk2,converse(sk1)))))
| join(sk1,converse(complement(join(sk2,converse(sk1))))) = converse(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),converse(complement(sk2))) ),[0],$fot(join(sk1,converse(complement(join(sk2,converse(sk1))))))]]) ).
cnf(refute_0_1900,plain,
( converse(join(complement(join(sk2,converse(sk1))),converse(sk1))) != converse(complement(sk2))
| join(sk1,converse(complement(join(sk2,converse(sk1))))) = converse(complement(sk2)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),join(sk1,converse(complement(join(sk2,converse(sk1)))))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
join(sk1,converse(complement(join(sk2,converse(sk1))))) = converse(complement(sk2)),
inference(resolve,[$cnf( $equal(converse(join(complement(join(sk2,converse(sk1))),converse(sk1))),converse(complement(sk2))) )],[refute_0_1893,refute_0_1900]) ).
cnf(refute_0_1902,plain,
( join(sk1,converse(complement(join(sk2,converse(sk1))))) != converse(complement(sk2))
| sk1 != meet(sk1,join(sk1,converse(complement(join(sk2,converse(sk1))))))
| sk1 = meet(sk1,converse(complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk1,converse(complement(join(sk2,converse(sk1))))))) ),[1,1],$fot(converse(complement(sk2)))]]) ).
cnf(refute_0_1903,plain,
( sk1 != meet(sk1,join(sk1,converse(complement(join(sk2,converse(sk1))))))
| sk1 = meet(sk1,converse(complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(sk2,converse(sk1))))),converse(complement(sk2))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
sk1 = meet(sk1,converse(complement(sk2))),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk1,converse(complement(join(sk2,converse(sk1))))))) )],[refute_0_1827,refute_0_1903]) ).
cnf(refute_0_1905,plain,
( sk1 != meet(sk1,converse(complement(sk2)))
| meet(sk1,converse(complement(sk2))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,converse(complement(sk2)))))]]) ).
cnf(refute_0_1906,plain,
meet(sk1,converse(complement(sk2))) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,converse(complement(sk2)))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
( meet(sk1,converse(complement(sk2))) != sk1
| sk1 != join(meet(sk1,converse(complement(sk2))),meet(sk1,complement(converse(complement(sk2)))))
| sk1 = join(sk1,meet(sk1,complement(converse(complement(sk2))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk1,converse(complement(sk2))),meet(sk1,complement(converse(complement(sk2)))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1908,plain,
( sk1 != join(meet(sk1,converse(complement(sk2))),meet(sk1,complement(converse(complement(sk2)))))
| sk1 = join(sk1,meet(sk1,complement(converse(complement(sk2))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(complement(sk2))),sk1) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
sk1 = join(sk1,meet(sk1,complement(converse(complement(sk2))))),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,converse(complement(sk2))),meet(sk1,complement(converse(complement(sk2)))))) )],[refute_0_322,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( sk1 != join(sk1,meet(sk1,complement(converse(complement(sk2)))))
| join(sk1,meet(sk1,complement(converse(complement(sk2))))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(join(sk1,meet(sk1,complement(converse(complement(sk2)))))))]]) ).
cnf(refute_0_1911,plain,
join(sk1,meet(sk1,complement(converse(complement(sk2))))) = sk1,
inference(resolve,[$cnf( $equal(sk1,join(sk1,meet(sk1,complement(converse(complement(sk2)))))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) != join(join(sk1,meet(sk1,complement(converse(complement(sk2))))),C)
| join(sk1,meet(sk1,complement(converse(complement(sk2))))) != sk1
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) = join(sk1,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)),join(join(sk1,meet(sk1,complement(converse(complement(sk2))))),C)) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1913,plain,
( join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) != join(join(sk1,meet(sk1,complement(converse(complement(sk2))))),C)
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) = join(sk1,C) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(sk1,complement(converse(complement(sk2))))),sk1) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)) = join(sk1,C),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),C)),join(join(sk1,meet(sk1,complement(converse(complement(sk2))))),C)) )],[refute_0_310,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = join(sk1,converse(complement(join(sk2,converse(sk1))))),
inference(subst,[],[refute_0_1914:[bind(C,$fot(converse(complement(join(sk2,converse(sk1))))))]]) ).
cnf(refute_0_1916,plain,
( join(sk1,converse(complement(join(sk2,converse(sk1))))) != converse(complement(sk2))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != join(sk1,converse(complement(join(sk2,converse(sk1)))))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = converse(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),join(sk1,converse(complement(join(sk2,converse(sk1)))))) ),[1],$fot(converse(complement(sk2)))]]) ).
cnf(refute_0_1917,plain,
( join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != join(sk1,converse(complement(join(sk2,converse(sk1)))))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = converse(complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(sk2,converse(sk1))))),converse(complement(sk2))) )],[refute_0_1901,refute_0_1916]) ).
cnf(refute_0_1918,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = converse(complement(sk2)),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),join(sk1,converse(complement(join(sk2,converse(sk1)))))) )],[refute_0_1915,refute_0_1917]) ).
cnf(refute_0_1919,plain,
join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))) = join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(complement(sk2)))),bind(B,$fot(meet(sk1,complement(converse(complement(sk2))))))]]) ).
cnf(refute_0_1920,plain,
converse(join(converse(join(X_12,X_11)),X_7)) = join(join(X_12,X_11),converse(X_7)),
inference(subst,[],[refute_0_576:[bind(A,$fot(join(X_12,X_11)))]]) ).
cnf(refute_0_1921,plain,
( converse(join(X_12,X_11)) != converse(join(X_11,X_12))
| converse(join(converse(join(X_12,X_11)),X_7)) != join(join(X_12,X_11),converse(X_7))
| converse(join(converse(join(X_11,X_12)),X_7)) = join(join(X_12,X_11),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_12,X_11)),X_7)),join(join(X_12,X_11),converse(X_7))) ),[0,0,0],$fot(converse(join(X_11,X_12)))]]) ).
cnf(refute_0_1922,plain,
( converse(join(converse(join(X_12,X_11)),X_7)) != join(join(X_12,X_11),converse(X_7))
| converse(join(converse(join(X_11,X_12)),X_7)) = join(join(X_12,X_11),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(X_12,X_11)),converse(join(X_11,X_12))) )],[refute_0_985,refute_0_1921]) ).
cnf(refute_0_1923,plain,
converse(join(converse(join(X_11,X_12)),X_7)) = join(join(X_12,X_11),converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_12,X_11)),X_7)),join(join(X_12,X_11),converse(X_7))) )],[refute_0_1920,refute_0_1922]) ).
cnf(refute_0_1924,plain,
join(join(X_11,X_12),converse(X_7)) = join(X_11,join(X_12,converse(X_7))),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_11)),bind(B,$fot(X_12)),bind(C,$fot(converse(X_7)))]]) ).
cnf(refute_0_1925,plain,
converse(join(converse(join(X_11,X_12)),X_7)) = join(join(X_11,X_12),converse(X_7)),
inference(subst,[],[refute_0_576:[bind(A,$fot(join(X_11,X_12)))]]) ).
cnf(refute_0_1926,plain,
( converse(join(converse(join(X_11,X_12)),X_7)) != join(join(X_11,X_12),converse(X_7))
| join(join(X_11,X_12),converse(X_7)) != join(X_11,join(X_12,converse(X_7)))
| converse(join(converse(join(X_11,X_12)),X_7)) = join(X_11,join(X_12,converse(X_7))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(converse(join(converse(join(X_11,X_12)),X_7)))),bind(Y,$fot(join(join(X_11,X_12),converse(X_7)))),bind(Z,$fot(join(X_11,join(X_12,converse(X_7)))))]]) ).
cnf(refute_0_1927,plain,
( join(join(X_11,X_12),converse(X_7)) != join(X_11,join(X_12,converse(X_7)))
| converse(join(converse(join(X_11,X_12)),X_7)) = join(X_11,join(X_12,converse(X_7))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_11,X_12)),X_7)),join(join(X_11,X_12),converse(X_7))) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
converse(join(converse(join(X_11,X_12)),X_7)) = join(X_11,join(X_12,converse(X_7))),
inference(resolve,[$cnf( $equal(join(join(X_11,X_12),converse(X_7)),join(X_11,join(X_12,converse(X_7)))) )],[refute_0_1924,refute_0_1927]) ).
cnf(refute_0_1929,plain,
( converse(join(converse(join(X_11,X_12)),X_7)) != join(X_11,join(X_12,converse(X_7)))
| converse(join(converse(join(X_11,X_12)),X_7)) != join(join(X_12,X_11),converse(X_7))
| join(X_11,join(X_12,converse(X_7))) = join(join(X_12,X_11),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_11,X_12)),X_7)),join(join(X_12,X_11),converse(X_7))) ),[0],$fot(join(X_11,join(X_12,converse(X_7))))]]) ).
cnf(refute_0_1930,plain,
( converse(join(converse(join(X_11,X_12)),X_7)) != join(join(X_12,X_11),converse(X_7))
| join(X_11,join(X_12,converse(X_7))) = join(join(X_12,X_11),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_11,X_12)),X_7)),join(X_11,join(X_12,converse(X_7)))) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
join(join(X_12,X_11),converse(X_7)) = join(X_12,join(X_11,converse(X_7))),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_12)),bind(B,$fot(X_11)),bind(C,$fot(converse(X_7)))]]) ).
cnf(refute_0_1932,plain,
( join(X_11,join(X_12,converse(X_7))) != join(join(X_12,X_11),converse(X_7))
| join(join(X_12,X_11),converse(X_7)) != join(X_12,join(X_11,converse(X_7)))
| join(X_11,join(X_12,converse(X_7))) = join(X_12,join(X_11,converse(X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_11,join(X_12,converse(X_7))),join(X_12,join(X_11,converse(X_7)))) ),[0],$fot(join(join(X_12,X_11),converse(X_7)))]]) ).
cnf(refute_0_1933,plain,
( join(X_11,join(X_12,converse(X_7))) != join(join(X_12,X_11),converse(X_7))
| join(X_11,join(X_12,converse(X_7))) = join(X_12,join(X_11,converse(X_7))) ),
inference(resolve,[$cnf( $equal(join(join(X_12,X_11),converse(X_7)),join(X_12,join(X_11,converse(X_7)))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
( converse(join(converse(join(X_11,X_12)),X_7)) != join(join(X_12,X_11),converse(X_7))
| join(X_11,join(X_12,converse(X_7))) = join(X_12,join(X_11,converse(X_7))) ),
inference(resolve,[$cnf( $equal(join(X_11,join(X_12,converse(X_7))),join(join(X_12,X_11),converse(X_7))) )],[refute_0_1930,refute_0_1933]) ).
cnf(refute_0_1935,plain,
join(X_11,join(X_12,converse(X_7))) = join(X_12,join(X_11,converse(X_7))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_11,X_12)),X_7)),join(join(X_12,X_11),converse(X_7))) )],[refute_0_1923,refute_0_1934]) ).
cnf(refute_0_1936,plain,
join(X_184,join(sk1,converse(complement(join(sk2,converse(sk1)))))) = join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))),
inference(subst,[],[refute_0_1935:[bind(X_11,$fot(X_184)),bind(X_12,$fot(sk1)),bind(X_7,$fot(complement(join(sk2,converse(sk1)))))]]) ).
cnf(refute_0_1937,plain,
( join(X_184,join(sk1,converse(complement(join(sk2,converse(sk1)))))) != join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))
| join(sk1,converse(complement(join(sk2,converse(sk1))))) != converse(complement(sk2))
| join(X_184,converse(complement(sk2))) = join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_184,join(sk1,converse(complement(join(sk2,converse(sk1)))))),join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))) ),[0,1],$fot(converse(complement(sk2)))]]) ).
cnf(refute_0_1938,plain,
( join(X_184,join(sk1,converse(complement(join(sk2,converse(sk1)))))) != join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))
| join(X_184,converse(complement(sk2))) = join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(sk2,converse(sk1))))),converse(complement(sk2))) )],[refute_0_1901,refute_0_1937]) ).
cnf(refute_0_1939,plain,
join(X_184,converse(complement(sk2))) = join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(X_184,join(sk1,converse(complement(join(sk2,converse(sk1)))))),join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))) )],[refute_0_1936,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( join(X_184,converse(complement(sk2))) != join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))
| join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))) = join(X_184,converse(complement(sk2))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_184,converse(complement(sk2))))),bind(Y,$fot(join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))))]]) ).
cnf(refute_0_1941,plain,
join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1)))))) = join(X_184,converse(complement(sk2))),
inference(resolve,[$cnf( $equal(join(X_184,converse(complement(sk2))),join(sk1,join(X_184,converse(complement(join(sk2,converse(sk1))))))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))),
inference(subst,[],[refute_0_1941:[bind(X_184,$fot(meet(sk1,complement(converse(complement(sk2))))))]]) ).
cnf(refute_0_1943,plain,
( join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))) != join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2)))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))))),bind(Y,$fot(join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))))),bind(Z,$fot(join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))))]]) ).
cnf(refute_0_1944,plain,
( join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))) != join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2)))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) = join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(sk2))),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))) )],[refute_0_1919,refute_0_1944]) ).
cnf(refute_0_1946,plain,
( join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != converse(complement(sk2))
| join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))
| join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) = converse(complement(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),converse(complement(sk2))) ),[0],$fot(join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))))]]) ).
cnf(refute_0_1947,plain,
( join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))) != converse(complement(sk2))
| join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) = converse(complement(sk2)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2)))))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) = converse(complement(sk2)),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,complement(converse(complement(sk2)))),converse(complement(join(sk2,converse(sk1)))))),converse(complement(sk2))) )],[refute_0_1918,refute_0_1947]) ).
cnf(refute_0_1949,plain,
( join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))) != converse(complement(sk2))
| top != join(complement(sk1),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))))
| top = join(complement(sk1),converse(complement(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(sk1),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))))) ),[1,1],$fot(converse(complement(sk2)))]]) ).
cnf(refute_0_1950,plain,
( top != join(complement(sk1),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))))
| top = join(complement(sk1),converse(complement(sk2))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))),converse(complement(sk2))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
top = join(complement(sk1),converse(complement(sk2))),
inference(resolve,[$cnf( $equal(top,join(complement(sk1),join(converse(complement(sk2)),meet(sk1,complement(converse(complement(sk2))))))) )],[refute_0_309,refute_0_1950]) ).
cnf(refute_0_1952,plain,
( top != join(complement(sk1),converse(complement(sk2)))
| join(complement(sk1),converse(complement(sk2))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(sk1),converse(complement(sk2)))))]]) ).
cnf(refute_0_1953,plain,
join(complement(sk1),converse(complement(sk2))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(sk1),converse(complement(sk2)))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( join(complement(sk1),converse(complement(sk2))) != top
| join(complement(sk1),join(converse(complement(sk2)),C)) != join(join(complement(sk1),converse(complement(sk2))),C)
| join(complement(sk1),join(converse(complement(sk2)),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),join(converse(complement(sk2)),C)),join(join(complement(sk1),converse(complement(sk2))),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1955,plain,
( join(complement(sk1),join(converse(complement(sk2)),C)) != join(join(complement(sk1),converse(complement(sk2))),C)
| join(complement(sk1),join(converse(complement(sk2)),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(sk2))),top) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
join(complement(sk1),join(converse(complement(sk2)),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(converse(complement(sk2)),C)),join(join(complement(sk1),converse(complement(sk2))),C)) )],[refute_0_295,refute_0_1955]) ).
cnf(refute_0_1957,plain,
( join(complement(sk1),join(converse(complement(sk2)),C)) != join(top,C)
| join(top,C) != top
| join(complement(sk1),join(converse(complement(sk2)),C)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(sk1),join(converse(complement(sk2)),C)),top) ),[0],$fot(join(top,C))]]) ).
cnf(refute_0_1958,plain,
( join(complement(sk1),join(converse(complement(sk2)),C)) != join(top,C)
| join(complement(sk1),join(converse(complement(sk2)),C)) = top ),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_1808,refute_0_1957]) ).
cnf(refute_0_1959,plain,
join(complement(sk1),join(converse(complement(sk2)),C)) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),join(converse(complement(sk2)),C)),join(top,C)) )],[refute_0_1956,refute_0_1958]) ).
cnf(refute_0_1960,plain,
join(complement(sk1),join(converse(complement(sk2)),converse(B))) = top,
inference(subst,[],[refute_0_1959:[bind(C,$fot(converse(B)))]]) ).
cnf(refute_0_1961,plain,
converse(join(complement(sk2),B)) = join(converse(complement(sk2)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(complement(sk2)))]]) ).
cnf(refute_0_1962,plain,
( converse(join(complement(sk2),B)) != join(converse(complement(sk2)),converse(B))
| join(converse(complement(sk2)),converse(B)) = converse(join(complement(sk2),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(sk2),B)))),bind(Y,$fot(join(converse(complement(sk2)),converse(B))))]]) ).
cnf(refute_0_1963,plain,
join(converse(complement(sk2)),converse(B)) = converse(join(complement(sk2),B)),
inference(resolve,[$cnf( $equal(converse(join(complement(sk2),B)),join(converse(complement(sk2)),converse(B))) )],[refute_0_1961,refute_0_1962]) ).
cnf(refute_0_1964,plain,
( join(complement(sk1),join(converse(complement(sk2)),converse(B))) != top
| join(converse(complement(sk2)),converse(B)) != converse(join(complement(sk2),B))
| join(complement(sk1),converse(join(complement(sk2),B))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),join(converse(complement(sk2)),converse(B))),top) ),[0,1],$fot(converse(join(complement(sk2),B)))]]) ).
cnf(refute_0_1965,plain,
( join(complement(sk1),join(converse(complement(sk2)),converse(B))) != top
| join(complement(sk1),converse(join(complement(sk2),B))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(sk2)),converse(B)),converse(join(complement(sk2),B))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
join(complement(sk1),converse(join(complement(sk2),B))) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),join(converse(complement(sk2)),converse(B))),top) )],[refute_0_1960,refute_0_1965]) ).
cnf(refute_0_1967,plain,
join(complement(sk1),converse(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))))) = top,
inference(subst,[],[refute_0_1966:[bind(B,$fot(meet(sk2,converse(complement(converse(sk2))))))]]) ).
cnf(refute_0_1968,plain,
X_88 = join(meet(X_88,X_87),meet(X_88,complement(X_87))),
inference(subst,[],[refute_0_321:[bind(B,$fot(X_87)),bind(X_76,$fot(X_88))]]) ).
cnf(refute_0_1969,plain,
meet(X_87,X_88) = meet(X_88,X_87),
inference(subst,[],[refute_0_72:[bind(X_17,$fot(X_87)),bind(X_18,$fot(X_88))]]) ).
cnf(refute_0_1970,plain,
( meet(X_87,X_88) != meet(X_88,X_87)
| meet(X_88,X_87) = meet(X_87,X_88) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_87,X_88))),bind(Y,$fot(meet(X_88,X_87)))]]) ).
cnf(refute_0_1971,plain,
meet(X_88,X_87) = meet(X_87,X_88),
inference(resolve,[$cnf( $equal(meet(X_87,X_88),meet(X_88,X_87)) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
( X_88 != join(meet(X_88,X_87),meet(X_88,complement(X_87)))
| meet(X_88,X_87) != meet(X_87,X_88)
| X_88 = join(meet(X_87,X_88),meet(X_88,complement(X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,X_87),meet(X_88,complement(X_87)))) ),[1,0],$fot(meet(X_87,X_88))]]) ).
cnf(refute_0_1973,plain,
( X_88 != join(meet(X_88,X_87),meet(X_88,complement(X_87)))
| X_88 = join(meet(X_87,X_88),meet(X_88,complement(X_87))) ),
inference(resolve,[$cnf( $equal(meet(X_88,X_87),meet(X_87,X_88)) )],[refute_0_1971,refute_0_1972]) ).
cnf(refute_0_1974,plain,
X_88 = join(meet(X_87,X_88),meet(X_88,complement(X_87))),
inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,X_87),meet(X_88,complement(X_87)))) )],[refute_0_1968,refute_0_1973]) ).
cnf(refute_0_1975,plain,
converse(complement(converse(X_147))) = join(meet(complement(X_147),converse(complement(converse(X_147)))),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),
inference(subst,[],[refute_0_1974:[bind(X_87,$fot(complement(X_147))),bind(X_88,$fot(converse(complement(converse(X_147)))))]]) ).
cnf(refute_0_1976,plain,
X_76 = join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(join(complement(X_76),converse(complement(converse(complement(X_76))))))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_76)),bind(B,$fot(converse(complement(converse(complement(X_76))))))]]) ).
cnf(refute_0_1977,plain,
converse(top) = join(complement(X_76),converse(complement(converse(complement(X_76))))),
inference(subst,[],[refute_0_962:[bind(X_8,$fot(complement(X_76)))]]) ).
cnf(refute_0_1978,plain,
( converse(top) != join(complement(X_76),converse(complement(converse(complement(X_76)))))
| join(complement(X_76),converse(complement(converse(complement(X_76))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_76),converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1979,plain,
join(complement(X_76),converse(complement(converse(complement(X_76))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_76),converse(complement(converse(complement(X_76)))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
( X_76 != join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(join(complement(X_76),converse(complement(converse(complement(X_76)))))))
| join(complement(X_76),converse(complement(converse(complement(X_76))))) != converse(top)
| X_76 = join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_76,join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(join(complement(X_76),converse(complement(converse(complement(X_76)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1981,plain,
( X_76 != join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(join(complement(X_76),converse(complement(converse(complement(X_76)))))))
| X_76 = join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_76),converse(complement(converse(complement(X_76))))),converse(top)) )],[refute_0_1979,refute_0_1980]) ).
cnf(refute_0_1982,plain,
X_76 = join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(join(complement(X_76),converse(complement(converse(complement(X_76)))))))) )],[refute_0_1976,refute_0_1981]) ).
cnf(refute_0_1983,plain,
join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))) = join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(X_76,converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1984,plain,
( X_76 != join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top)))
| join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))) != join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))
| X_76 = join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))) ),[0],$fot(join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))))]]) ).
cnf(refute_0_1985,plain,
( X_76 != join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top)))
| X_76 = join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top))),join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
X_76 = join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),
inference(resolve,[$cnf( $equal(X_76,join(meet(X_76,converse(complement(converse(complement(X_76))))),complement(converse(top)))) )],[refute_0_1982,refute_0_1985]) ).
cnf(refute_0_1987,plain,
join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))) = meet(X_76,converse(complement(converse(complement(X_76))))),
inference(subst,[],[refute_0_226:[bind(X_78,$fot(meet(X_76,converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1988,plain,
join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1989,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) != join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1990,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1329,refute_0_1990]) ).
cnf(refute_0_1992,plain,
( join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) != join(zero,meet(X_76,converse(complement(converse(complement(X_76))))))
| join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))) != meet(X_76,converse(complement(converse(complement(X_76)))))
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = meet(X_76,converse(complement(converse(complement(X_76))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))))),bind(Y,$fot(join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))))),bind(Z,$fot(meet(X_76,converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1993,plain,
( join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))) != meet(X_76,converse(complement(converse(complement(X_76)))))
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = meet(X_76,converse(complement(converse(complement(X_76))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),join(zero,meet(X_76,converse(complement(converse(complement(X_76))))))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) = meet(X_76,converse(complement(converse(complement(X_76))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_76,converse(complement(converse(complement(X_76)))))),meet(X_76,converse(complement(converse(complement(X_76)))))) )],[refute_0_1987,refute_0_1993]) ).
cnf(refute_0_1995,plain,
( X_76 != join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))
| join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))) != meet(X_76,converse(complement(converse(complement(X_76)))))
| X_76 = meet(X_76,converse(complement(converse(complement(X_76))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_76,meet(X_76,converse(complement(converse(complement(X_76)))))) ),[0],$fot(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))))]]) ).
cnf(refute_0_1996,plain,
( X_76 != join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))
| X_76 = meet(X_76,converse(complement(converse(complement(X_76))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76)))))),meet(X_76,converse(complement(converse(complement(X_76)))))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
X_76 = meet(X_76,converse(complement(converse(complement(X_76))))),
inference(resolve,[$cnf( $equal(X_76,join(complement(converse(top)),meet(X_76,converse(complement(converse(complement(X_76))))))) )],[refute_0_1986,refute_0_1996]) ).
cnf(refute_0_1998,plain,
complement(X_145) = meet(complement(X_145),converse(complement(converse(complement(complement(X_145)))))),
inference(subst,[],[refute_0_1997:[bind(X_76,$fot(complement(X_145)))]]) ).
cnf(refute_0_1999,plain,
( complement(X_145) != meet(complement(X_145),converse(complement(converse(complement(complement(X_145))))))
| complement(complement(X_145)) != X_145
| complement(X_145) = meet(complement(X_145),converse(complement(converse(X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_145),meet(complement(X_145),converse(complement(converse(complement(complement(X_145))))))) ),[1,1,0,0,0],$fot(X_145)]]) ).
cnf(refute_0_2000,plain,
( complement(X_145) != meet(complement(X_145),converse(complement(converse(complement(complement(X_145))))))
| complement(X_145) = meet(complement(X_145),converse(complement(converse(X_145)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_145)),X_145) )],[refute_0_305,refute_0_1999]) ).
cnf(refute_0_2001,plain,
complement(X_145) = meet(complement(X_145),converse(complement(converse(X_145)))),
inference(resolve,[$cnf( $equal(complement(X_145),meet(complement(X_145),converse(complement(converse(complement(complement(X_145))))))) )],[refute_0_1998,refute_0_2000]) ).
cnf(refute_0_2002,plain,
complement(X_147) = meet(complement(X_147),converse(complement(converse(X_147)))),
inference(subst,[],[refute_0_2001:[bind(X_145,$fot(X_147))]]) ).
cnf(refute_0_2003,plain,
( complement(X_147) != meet(complement(X_147),converse(complement(converse(X_147))))
| meet(complement(X_147),converse(complement(converse(X_147)))) = complement(X_147) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_147))),bind(Y,$fot(meet(complement(X_147),converse(complement(converse(X_147))))))]]) ).
cnf(refute_0_2004,plain,
meet(complement(X_147),converse(complement(converse(X_147)))) = complement(X_147),
inference(resolve,[$cnf( $equal(complement(X_147),meet(complement(X_147),converse(complement(converse(X_147))))) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
( converse(complement(converse(X_147))) != join(meet(complement(X_147),converse(complement(converse(X_147)))),meet(converse(complement(converse(X_147))),complement(complement(X_147))))
| meet(complement(X_147),converse(complement(converse(X_147)))) != complement(X_147)
| converse(complement(converse(X_147))) = join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_147))),join(meet(complement(X_147),converse(complement(converse(X_147)))),meet(converse(complement(converse(X_147))),complement(complement(X_147))))) ),[1,0],$fot(complement(X_147))]]) ).
cnf(refute_0_2006,plain,
( converse(complement(converse(X_147))) != join(meet(complement(X_147),converse(complement(converse(X_147)))),meet(converse(complement(converse(X_147))),complement(complement(X_147))))
| converse(complement(converse(X_147))) = join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_147),converse(complement(converse(X_147)))),complement(X_147)) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
converse(complement(converse(X_147))) = join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_147))),join(meet(complement(X_147),converse(complement(converse(X_147)))),meet(converse(complement(converse(X_147))),complement(complement(X_147))))) )],[refute_0_1975,refute_0_2006]) ).
cnf(refute_0_2008,plain,
complement(complement(X_147)) = X_147,
inference(subst,[],[refute_0_293:[bind(X_20,$fot(X_147))]]) ).
cnf(refute_0_2009,plain,
meet(complement(complement(X_147)),converse(complement(converse(X_147)))) = meet(complement(complement(X_147)),converse(complement(converse(X_147)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_147)),converse(complement(converse(X_147)))))]]) ).
cnf(refute_0_2010,plain,
( complement(complement(X_147)) != X_147
| meet(complement(complement(X_147)),converse(complement(converse(X_147)))) != meet(complement(complement(X_147)),converse(complement(converse(X_147))))
| meet(complement(complement(X_147)),converse(complement(converse(X_147)))) = meet(X_147,converse(complement(converse(X_147)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_147)),converse(complement(converse(X_147)))),meet(complement(complement(X_147)),converse(complement(converse(X_147))))) ),[1,0],$fot(X_147)]]) ).
cnf(refute_0_2011,plain,
( complement(complement(X_147)) != X_147
| meet(complement(complement(X_147)),converse(complement(converse(X_147)))) = meet(X_147,converse(complement(converse(X_147)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_147)),converse(complement(converse(X_147)))),meet(complement(complement(X_147)),converse(complement(converse(X_147))))) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
meet(complement(complement(X_147)),converse(complement(converse(X_147)))) = meet(X_147,converse(complement(converse(X_147)))),
inference(resolve,[$cnf( $equal(complement(complement(X_147)),X_147) )],[refute_0_2008,refute_0_2011]) ).
cnf(refute_0_2013,plain,
meet(converse(complement(converse(X_147))),complement(complement(X_147))) = meet(complement(complement(X_147)),converse(complement(converse(X_147)))),
inference(subst,[],[refute_0_74:[bind(X_17,$fot(complement(complement(X_147)))),bind(X_18,$fot(converse(complement(converse(X_147)))))]]) ).
cnf(refute_0_2014,plain,
( meet(complement(complement(X_147)),converse(complement(converse(X_147)))) != meet(X_147,converse(complement(converse(X_147))))
| meet(converse(complement(converse(X_147))),complement(complement(X_147))) != meet(complement(complement(X_147)),converse(complement(converse(X_147))))
| meet(converse(complement(converse(X_147))),complement(complement(X_147))) = meet(X_147,converse(complement(converse(X_147)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(converse(complement(converse(X_147))),complement(complement(X_147))))),bind(Y,$fot(meet(complement(complement(X_147)),converse(complement(converse(X_147)))))),bind(Z,$fot(meet(X_147,converse(complement(converse(X_147))))))]]) ).
cnf(refute_0_2015,plain,
( meet(complement(complement(X_147)),converse(complement(converse(X_147)))) != meet(X_147,converse(complement(converse(X_147))))
| meet(converse(complement(converse(X_147))),complement(complement(X_147))) = meet(X_147,converse(complement(converse(X_147)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_147))),complement(complement(X_147))),meet(complement(complement(X_147)),converse(complement(converse(X_147))))) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
meet(converse(complement(converse(X_147))),complement(complement(X_147))) = meet(X_147,converse(complement(converse(X_147)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_147)),converse(complement(converse(X_147)))),meet(X_147,converse(complement(converse(X_147))))) )],[refute_0_2012,refute_0_2015]) ).
cnf(refute_0_2017,plain,
join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) = join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),
introduced(tautology,[refl,[$fot(join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))))]]) ).
cnf(refute_0_2018,plain,
( join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) != join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))
| meet(converse(complement(converse(X_147))),complement(complement(X_147))) != meet(X_147,converse(complement(converse(X_147))))
| join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))) ),[1,1],$fot(meet(X_147,converse(complement(converse(X_147)))))]]) ).
cnf(refute_0_2019,plain,
( meet(converse(complement(converse(X_147))),complement(complement(X_147))) != meet(X_147,converse(complement(converse(X_147))))
| join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))) )],[refute_0_2017,refute_0_2018]) ).
cnf(refute_0_2020,plain,
join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_147))),complement(complement(X_147))),meet(X_147,converse(complement(converse(X_147))))) )],[refute_0_2016,refute_0_2019]) ).
cnf(refute_0_2021,plain,
( converse(complement(converse(X_147))) != join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))
| join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))) != join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))
| converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_147))),join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))) ),[0],$fot(join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))))]]) ).
cnf(refute_0_2022,plain,
( converse(complement(converse(X_147))) != join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))
| converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147)))),join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))) )],[refute_0_2020,refute_0_2021]) ).
cnf(refute_0_2023,plain,
converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_147))),join(complement(X_147),meet(converse(complement(converse(X_147))),complement(complement(X_147))))) )],[refute_0_2007,refute_0_2022]) ).
cnf(refute_0_2024,plain,
converse(complement(converse(sk2))) = join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))),
inference(subst,[],[refute_0_2023:[bind(X_147,$fot(sk2))]]) ).
cnf(refute_0_2025,plain,
( converse(complement(converse(sk2))) != join(complement(sk2),meet(sk2,converse(complement(converse(sk2)))))
| join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))) = converse(complement(converse(sk2))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(sk2))))),bind(Y,$fot(join(complement(sk2),meet(sk2,converse(complement(converse(sk2)))))))]]) ).
cnf(refute_0_2026,plain,
join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))) = converse(complement(converse(sk2))),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk2))),join(complement(sk2),meet(sk2,converse(complement(converse(sk2)))))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
( join(complement(sk1),converse(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))))) != top
| join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))) != converse(complement(converse(sk2)))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))))),top) ),[0,1,0],$fot(converse(complement(converse(sk2))))]]) ).
cnf(refute_0_2028,plain,
( join(complement(sk1),converse(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))))) != top
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))),converse(complement(converse(sk2)))) )],[refute_0_2026,refute_0_2027]) ).
cnf(refute_0_2029,plain,
join(complement(sk1),converse(converse(complement(converse(sk2))))) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(join(complement(sk2),meet(sk2,converse(complement(converse(sk2))))))),top) )],[refute_0_1967,refute_0_2028]) ).
cnf(refute_0_2030,plain,
complement(complement(join(complement(A),complement(B)))) = join(complement(A),complement(B)),
inference(subst,[],[refute_0_293:[bind(X_20,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_2031,plain,
( complement(complement(join(complement(A),complement(B)))) != join(complement(A),complement(B))
| complement(join(complement(A),complement(B))) != meet(A,B)
| complement(meet(A,B)) = join(complement(A),complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(complement(A),complement(B)))),join(complement(A),complement(B))) ),[0,0],$fot(meet(A,B))]]) ).
cnf(refute_0_2032,plain,
( complement(complement(join(complement(A),complement(B)))) != join(complement(A),complement(B))
| complement(meet(A,B)) = join(complement(A),complement(B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_11,refute_0_2031]) ).
cnf(refute_0_2033,plain,
complement(meet(A,B)) = join(complement(A),complement(B)),
inference(resolve,[$cnf( $equal(complement(complement(join(complement(A),complement(B)))),join(complement(A),complement(B))) )],[refute_0_2030,refute_0_2032]) ).
cnf(refute_0_2034,plain,
( complement(meet(A,B)) != join(complement(A),complement(B))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(A,B)))),bind(Y,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_2035,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(complement(meet(A,B)),join(complement(A),complement(B))) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
join(complement(sk1),complement(converse(sk2))) = complement(meet(sk1,converse(sk2))),
inference(subst,[],[refute_0_2035:[bind(A,$fot(sk1)),bind(B,$fot(converse(sk2)))]]) ).
cnf(refute_0_2037,plain,
converse(converse(complement(converse(sk2)))) = complement(converse(sk2)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(sk2))))]]) ).
cnf(refute_0_2038,plain,
join(complement(sk1),converse(converse(complement(converse(sk2))))) = join(complement(sk1),converse(converse(complement(converse(sk2))))),
introduced(tautology,[refl,[$fot(join(complement(sk1),converse(converse(complement(converse(sk2))))))]]) ).
cnf(refute_0_2039,plain,
( converse(converse(complement(converse(sk2)))) != complement(converse(sk2))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) != join(complement(sk1),converse(converse(complement(converse(sk2)))))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = join(complement(sk1),complement(converse(sk2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),join(complement(sk1),converse(converse(complement(converse(sk2)))))) ),[1,1],$fot(complement(converse(sk2)))]]) ).
cnf(refute_0_2040,plain,
( converse(converse(complement(converse(sk2)))) != complement(converse(sk2))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = join(complement(sk1),complement(converse(sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),join(complement(sk1),converse(converse(complement(converse(sk2)))))) )],[refute_0_2038,refute_0_2039]) ).
cnf(refute_0_2041,plain,
join(complement(sk1),converse(converse(complement(converse(sk2))))) = join(complement(sk1),complement(converse(sk2))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(sk2)))),complement(converse(sk2))) )],[refute_0_2037,refute_0_2040]) ).
cnf(refute_0_2042,plain,
( join(complement(sk1),complement(converse(sk2))) != complement(meet(sk1,converse(sk2)))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) != join(complement(sk1),complement(converse(sk2)))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = complement(meet(sk1,converse(sk2))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(sk1),converse(converse(complement(converse(sk2))))))),bind(Y,$fot(join(complement(sk1),complement(converse(sk2))))),bind(Z,$fot(complement(meet(sk1,converse(sk2)))))]]) ).
cnf(refute_0_2043,plain,
( join(complement(sk1),complement(converse(sk2))) != complement(meet(sk1,converse(sk2)))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) = complement(meet(sk1,converse(sk2))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),join(complement(sk1),complement(converse(sk2)))) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
join(complement(sk1),converse(converse(complement(converse(sk2))))) = complement(meet(sk1,converse(sk2))),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(converse(sk2))),complement(meet(sk1,converse(sk2)))) )],[refute_0_2036,refute_0_2043]) ).
cnf(refute_0_2045,plain,
( join(complement(sk1),converse(converse(complement(converse(sk2))))) != complement(meet(sk1,converse(sk2)))
| join(complement(sk1),converse(converse(complement(converse(sk2))))) != top
| complement(meet(sk1,converse(sk2))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),top) ),[0],$fot(complement(meet(sk1,converse(sk2))))]]) ).
cnf(refute_0_2046,plain,
( join(complement(sk1),converse(converse(complement(converse(sk2))))) != top
| complement(meet(sk1,converse(sk2))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),complement(meet(sk1,converse(sk2)))) )],[refute_0_2044,refute_0_2045]) ).
cnf(refute_0_2047,plain,
complement(meet(sk1,converse(sk2))) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(converse(complement(converse(sk2))))),top) )],[refute_0_2029,refute_0_2046]) ).
cnf(refute_0_2048,plain,
( complement(complement(meet(sk1,converse(sk2)))) != meet(sk1,converse(sk2))
| complement(meet(sk1,converse(sk2))) != top
| complement(top) = meet(sk1,converse(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(sk1,converse(sk2)))),meet(sk1,converse(sk2))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2049,plain,
( complement(complement(meet(sk1,converse(sk2)))) != meet(sk1,converse(sk2))
| complement(top) = meet(sk1,converse(sk2)) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,converse(sk2))),top) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
complement(top) = meet(sk1,converse(sk2)),
inference(resolve,[$cnf( $equal(complement(complement(meet(sk1,converse(sk2)))),meet(sk1,converse(sk2))) )],[refute_0_294,refute_0_2049]) ).
cnf(refute_0_2051,plain,
( complement(top) != meet(sk1,converse(sk2))
| complement(top) != zero
| zero = meet(sk1,converse(sk2)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(sk1,converse(sk2))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2052,plain,
( complement(top) != meet(sk1,converse(sk2))
| zero = meet(sk1,converse(sk2)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_53,refute_0_2051]) ).
cnf(refute_0_2053,plain,
zero = meet(sk1,converse(sk2)),
inference(resolve,[$cnf( $equal(complement(top),meet(sk1,converse(sk2))) )],[refute_0_2050,refute_0_2052]) ).
cnf(refute_0_2054,plain,
( zero != meet(sk1,converse(sk2))
| meet(sk1,converse(sk2)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(sk1,converse(sk2))))]]) ).
cnf(refute_0_2055,plain,
zero != meet(sk1,converse(sk2)),
inference(resolve,[$cnf( $equal(meet(sk1,converse(sk2)),zero) )],[refute_0_2054,goals_15]) ).
cnf(refute_0_2056,plain,
$false,
inference(resolve,[$cnf( $equal(zero,meet(sk1,converse(sk2))) )],[refute_0_2053,refute_0_2055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.14 % Command : metis --show proof --show saturation %s
% 0.16/0.36 % Computer : n028.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Fri Jul 8 10:05:39 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.16/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.33/3.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/3.54
% 3.33/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.63/3.82
%------------------------------------------------------------------------------